in the xy-plane what is the y-intercept of the graph of the equation y=(x-2)^2?

Answers

Answer 1

As a result, the graph of the equation y=(x-2)2 in the xy plane has the y-intercept of y = -9.

what is equation ?

The number is said to be in its simplest form when divided into its smallest equivalent fraction. What should be done to find the most basic form. Look for common factors in the numerator and denominator. Verify a fractional integer to verify if it qualifies as a prime number. A statement having two collinear and an equal marker in the middle is called an equation in mathematics. The general form of any equation contains the degrees of all the variables in descending order. The conventional form of a linear equation is an x + b = 0. The general form of a linear equation with two variables is an x + b y + c = 0. (or something similar).  An identity holds true regardless of the value given to the variables.

given

Equation as given:

y = 6 (x - 1/2)(x+3)

To identify the equation's graph's y-intercept

Put x = 0 in place of it in the equation.

y = 6 (0 - 1/2)(0+3)

Apply the math operation, then find y.

y = -9

As a result, the graph of the equation y=(x-2)2 in the xy plane has the y-intercept of y = -9.

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Related Questions

(20 points)which of these equations doesn’t fit with each other with what we’ve been learning about perpendicular lines explain why for full credit, equations in photo

Answers

Answer:

  Line D

Step-by-step explanation:

You want to know which line is not parallel or perpendicular to the other given lines:

 A: 2y -x = 2

  B: 4y = -8x -4

  C: y = -2x +4

  D: 5y = 10x +15

Standard form

We can write each of these equations in standard form to make it easier to compare them. That form is ...

  ax +by = c

where a > 0 and a, b, c are mutually prime.

The equations are ...

  A: x -2y = -2

  B: 2x +y = -1

  C: 2x +y = 4

  D: 2x -y = -3

Parallel lines

Equations with the same coefficients of x and y will be parallel:

  2x +y = -1  and  2x +y = 4 . . . . lines B and C

Perpendicular lines

Equations with coefficients that have been swapped, with one negated, will be perpendicular:

  x -2y = -2  and  2x +y = -1 . . . . lines A and B

Line A is perpendicular to parallel lines B and C, so line D is the odd one out.

  Line D doesn't fit.

Katerina needs 200 balloons fillied with helium for a party. She knows that each balloon will need 0.7ft^3 of helium. the helium canisters hold 0.20m^3. 1m^3 = 35ft^3. How many Canisters will Katerina need to buy?

Answers

Answer:   20

=======================================================

Explanation:

1 balloon = 0.7 ft^3 of helium

200 balloons = 200*0.7 = 140 ft^3 of helium

Katerina needs 140 cubic feet of helium to fill all 200 balloons.

---------------

1m^3 = 35ft^3 which is approximate

0.2 m^3 = 0.2*35 = 7 ft^3

Each canister holds approximately 7 cubic feet of helium.

----------------

To summarize so far.

Katerina needs 140 cubic feet of helium.Each canister holds approximately 7 cubic feet of helium.

Let x be the number of canisters. Because of fact 2 mentioned above, 7x represents the total amount of helium from all of the x number of canisters.

Set this equal to the amount she needs (140) and solve for x.

7x = 140

x = 140/7

x = 20

Katerina needs 20 canisters.

One number is three more than twice another number. If the sum of the two numbers is 30 , find the numbers

Answers

Answer:

9 = 1st number

21 = 2nd number

Step-by-step explanation:

given that :

1st number = x __eq_i

2nd number (in terms of the first number) = 2x + 3 __eq_ii

1st number + 2nd number = 30 __eq_iii

input eq_i and eq_ii in eq_iii

x + 2x + 3 = 30

3x + 3 = 30

3x = 30 - 3

x = 27 ÷ 3

x = 9

9 = 1st number

input the value of x in eq_ii

2x + 3

2(9) + 3

18 + 3

21 = 2nd number

hope that helps.

Please screenshot and write the answer on the photo.

Answers

1] Answer: y = -[tex]\frac{1}{2}[/tex]x + 3

Step-by-step explanation:

➜ This line is going down from the top left to the bottom right, so it will have a negative slope.

➜ Using rise over run, we get a slope of -2/4. This simplifies to -1/2.

➜ The line intercepts the y-axis at 3.

2] Answer: y = 3x

Step-by-step explanation:

➜ This line is going down from the bottom left to the top right, so it will have a positive slope.

➜ Using rise over run, we get a slope of 3/1. This simplifies to 3.

➜ The line intercepts the y-axis at 0.

3] Answer: y = x - 4

Step-by-step explanation:

➜ This line is going down from the top left to the bottom right, so it will have a negative slope.

➜ Using rise over run, we get a slope of 2/2. This simplifies to 1.

➜ The line intercepts the y-axis at -4.

The rate of change increased by about _____ bass per a year. Round to the nearest tenth

Answers

From the exponential function, the average rate of change from year 1 to year 4 is 62.43, the average rate of change from year 5 to year 8 is 67.57 and the rate of change per year is 65

What is Exponential Function

An exponential function is a type of function that involves a variable in an exponent. It is of the form f(x) = a⋅b^x where a and b are constants and b > 0, b ≠ 1. The input to the function, x, is the exponent that the base, b, is raised to. The output, f(x), is the result of raising the base to the exponent.

In this problem, we have to calculate the rate of increase per year.

Data;

rate = 2%

P = 3000

The exponential growth can be calculated by;

A = P(1 + r)ⁿ

In year 1

A = 3000(1 + 0.02)¹

A = 3060

In year 4

A = 3000(1 + 0.02)⁴

A = 3247.3

a)

The average rate of change from year 1 to year 4 will be

A = [3000(1 + 0.02)⁴ - 3000(1 + 0.02)¹] / 4 - 1

A = 62.43

The average rate of change from year 1 to year 4 is 62.43

b)

The average rate of change from year 5 to year 8 is calculated as

A = [3000(1 + 0.02)⁸ - 3000(1 + 0.02)⁵] / 8 - 5

A = 67.57

C)

The rate of change increase can be calculated as;

A = [3000(1 + 0.02)⁸ - 3000(1 + 0.02)¹] / 8 - 1

A =65

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is 10/12 and 40/64 a proportion

Answers

Answer:

No, it is not a proportion

Step-by-step explanation:

10/12 and 40/64 is not a proportion since although the numerator is constant because when multiplied by 4, it gives us 40, however, when you multiply 4 by 12, you get 48, therefore, it is not a proportion since the changes in the value of a proportion must be constant in both the numerator and denominator.

Hope this helped!  :D

Please help me solve

Answers

[tex]~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill[/tex]

[tex](-6x^3 y^5 + 11x^3 y^2) \div (-2x^2 y^3)\implies \cfrac{-6x^3 y^5 + 11x^3 y^2}{-2x^2 y^3} \\\\\\ \cfrac{-6x^3 y^5}{-2x^2 y^3}+\cfrac{11x^3 y^2}{-2x^2 y^3}\implies \cfrac{-6}{-2}\cdot \cfrac{x^3 y^5}{x^2 y^3}+\cfrac{11}{-2}\cdot \cfrac{x^3 y^2}{x^2 y^3} \\\\\\ 3\cdot x^3 x^{-2}y^5 y^{-3}+\cfrac{11}{-2}\cdot \cfrac{x^3 x^{-2}}{y^3 y^{-2}}\implies 3x^{3-2}y^{5-3}-\cfrac{11}{2}\cdot \cfrac{x^{3-2}}{y^{3-2}} \\\\\\ ~\hfill {\Large \begin{array}{llll} 3x y^2 -\cfrac{11x}{2y} \end{array}}~\hfill[/tex]

Choose Yes or No to tell whether the expression represents a 20% discount off the price of an item that originally cost d dollars.

0.8d (yes or no)

d – 0.2 (yes or no)


d – 0.2d (yes or no)


1 – 0.2d (yes or no)

Answers

No no yes …………………………..

Susan invested a total of $9000 in two accounts. One account pays 3% interest and the other account pays 6% interest. The total return from both accounts was $450.

Answers

The money invested in a  account with 3% interest is $3000 and the money invested in a  account with 6% interest is $6000.

What is the simple interest?

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

Simple interest is calculated with the following formula: S.I. = (P × R × T)/100, where P = Principal, R = Rate of Interest in % per annum, and T = Time.

Given that, Susan invested a total of $9000 in two account.

One account pays 3% interest and the other account pays 6% interest.

Let the money invested in a  account with 3% interest be x.

Then, the money invested in a  account with 6% interest be 9000-x.

The total return from both accounts was $450.

Here, (x×3×1)/100 + ((9000-x)×6×1)/100 =450

3x+54000-6x=45000

54000-3x=45000

3x=9000

x=$3000

So, 9000-x=$6000

Therefore, the money invested in a  account with 3% interest is $3000 and the money invested in a  account with 6% interest is $6000.

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Determine whether the statement is true or false. If false, give a counterexample.
The constant of proportionality in an equation can never be 0.

Answers

Answer:

Step-by-step explanation:

find the slope for 1-6

Answers

Answer:

1) 10/3

2) -1./3

3) -2/5

4) 1

5) undefined

6) 0

Step-by-step explanation:

Find two easy to read points. Go from one point to the other by going vertically first then horizontally. Moving up is positive and down is negative. Moving right is positive and left is negative.

slope = rise/run = (difference in y)/(difference in x)

1) slope = 10/3

2) slope = -1/3

3) slope = -2/5

4) slope = 1/1 = 1

5) slope = undefined (The slope of a vertical line is undefined.)

6) slope = 0 (The slope of a horizontal line is 0.)

Please help me I can’t figure it out

Answers

The number of times each number divides is 8 divides LCM into 11 times

11 divides into LCM 8 times and 22 divides into LCM 4 times .

What is LCM ?

The smallest positive integer that is divisible by both a and b is known as the least common multiple (lcm), lowest common multiple (lcm), or smallest common multiple of two numbers a and b in mathematics and number theory.

Least Common Multiple is a mathematical term. The smallest number that is a multiple of both of two numbers is called the least common multiple.

In mathematics, the least common multiple is sometimes referred to as LCM or the lowest common multiple. The smallest number among all the common multiples of the provided numbers is the least common multiple of two or more numbers.

The LCM of 8 , 11 and 22 is 88

∴ 8 divides into LCM 11 times

11 divides into LCM 8 times

22 divides into LCM 4 times

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(100 points) Need help asap!


The function f(x) is defined below. What is the end behavior of f(x)?

[tex]f(x)=\frac{1}{9} x^{12}[/tex]


A. as x→−∞,f(x)→−∞ and as x→∞,f(x)→∞

B. as x→−∞,f(x)→−∞ and as x→∞,f(x)→−∞

C. as x→−∞,f(x)→∞ and as x→∞,f(x)→−∞

D. as x→−∞,f(x)→∞ and as x→∞,f(x)→∞


The function f(x) is defined below. What is the end behavior of f(x)?

[tex]f(x)=-\frac{1}{10} x^{18}[/tex]


A. as x→−∞,f(x)→−∞ and as x→∞,f(x)→∞

B. as x→−∞,f(x)→−∞ and as x→∞,f(x)→−∞

C. as x→−∞,f(x)→∞ and as x→∞,f(x)→−∞

D. as x→−∞,f(x)→∞ and as x→∞,f(x)→∞

Answers

The end behavior of the function f(x) = 1/9 x¹² is

D. as x→−∞,f(x)→∞ and as x→∞,f(x)→∞

The end behavior of the function f(x) = -1/10 x¹⁸ is

B. as x→−∞,f(x)→−∞ and as x→∞,f(x)→−∞

What is end behavior?

The end behavior of function typically says the characteristics of the function at the ends

How to find the end behavior of function

The given function is:

f(x) = 1/9 x¹²

The positive exponents will mean that x will always yield positive values hence f(x) is always positive

f(x) = -1/10 x¹⁸

The positive exponents will mean that x will always yield positive values however the negative constant -1/10 will make f(x) always negative hence f(x) is always negative

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Write an equation that represents a discount of 18% on a retail price of $55. Let p represent the new price. f

Answers

An equation that represents a discount of 18% on a retail price of $55 can be written as follows:

p = 0.82 * 55

In this equation, p represents the new price after the discount has been applied, and 0.82 represents the percentage of the original price that remains after the discount has been applied (100% - 18% = 82%).

Solving this equation, we find that the new price, p, is equal to $45.90.

Note: This equation represents a discount, which means that the final price, p, will be less than the original price. If you want to represent a markdown (i.e., a price increase), you would use a value greater than 1 for the percentage factor (e.g., 1.18 for a markdown of 18%).
The equation here is 0.88

There is a proportional relationship between the weight and total cost of a bag of lemons. One bag weighs 2.4 pounds and costs $5.28. Another bag weighs 2.7 pounds and costs $5.94. Describe how you would graph the proportional relationship i need help asp

Answers

There is a directly proportional relationship between the weight and total cost of bag of of lemons.

What is constant of proportionality?

The ratio connecting two given numbers in what is known as a proportional relationship is the constant of proportionality. The constant of proportionality may also be referred to as the constant ratio, constant rate, unit rate, constant of variation, or even the rate of change.

When two variables are directly or indirectly proportional to one another, their relationship may be expressed using the formulas y = kx or y = k/x, where k specifies the degree of correspondence between the two variables. The proportionality constant, k, is often used.

As an illustration, we may write y = kx, where x is the amount of gas in gallons, y is the price in dollars, and k is the proportionality constant.

Given data :

One bag weighs 2.4 pounds and cost $5.28.

Another bag weighs 2.7 pounds and cost $5.94

2.4k = 5.28

k= 2.2

2.7k = 5.94

k = 2.2

k > 1

The weight and total cost of bag of of lemons is directly proportional, so when weight of lemon increases, the cost of lemon also increases.

Therefore, there is a directly proportional relationship between the weight and total cost of bag of of lemons.

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What is the solution to the system of equations?
{x+y=4
{x=y=1
O (3, 1)
O (2, 2)
O (1/2, 3/2)

Answers

Answer:

hat are the solution(s) to the system of equations shown below? x2 + y2 = 5 y = 2x. 1) x = 1 and x = −1. 2) x = 1. 3) (1,2)

Step-by-step explanation:

Therefore , the solution of the given problem of linear equation comes out to be (2,2).

A linear equation is defined.

A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.

Here,

=> y+ x = 3

=> y= 3-x

=> x= y = 1

=>3-x =1

=> x = 2

=> y = 2

(2,2)

Therefore , the solution of the given problem of linear equation comes out to be (2,2).

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Helpp!! Solve the system by graphing.

Answers

Answer - solution to the equations ( 3, -2)

See attached graph showing where the two lines intersect, that is your solution

WHAT IS A PRICE OF A 7 - MINUTE DIAL DIRECT CALL TO NEW YORK, NY, WHEN YOU
CALL IN THE EVENING?

Answers

The price of a seven minute call direct to New York, in the evening, is given as follows:

$5.82.

How to obtain the cost of the call?

The cost of the call is obtained considering the information given in the table, for which the proportions are applied.

We have a direct call, meaning that it is a person-to-person call, thus the flat rate is of $3.00 per minute.

Then the minute proportions, considering that the call happens in the evening, are given as follows:

First minute: 0.38 of $3.Each additional minute: 0.26 of $3.

A seven minute call is composed by six additional minutes after the first, hence the total cost is obtained as follows:

0.38 x 3 + 6 x 0.26 x 3 = $5.82.

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Need it ASAP, please!!!

Answers

Answer:

27y - 45 + 7z

1. Explain how place-value blocks can
help you with division.

Answers

Using place value along with division facts in a division equation, helps in dividing larger numbers easily. Place value counters and tape diagrams are often used to represent division using place value.

What is division?

With the arithmetic operation of division, we can divide a collection of items into equal pieces. Typically, it is represented by the symbol "÷".

The bigger amount that is divided into equal halves is called the dividend.

The number of groups that divide the payout is known as the divisor. Following division, the result is the quotient.

The value of a digit in a number is determined by its place in the number, or place value.

Divide larger numbers simply by applying place value and division facts in a division equation. Place value division is frequently shown using tape diagrams and place value counters.

Example - 4 ÷ 2 = 2

In the first equation, the digits are 4 and 2. We can write it as 4 ones ÷ 2 ones = 2 ones (using the division fact).

Example - 40 ÷ 20 = 2

For the second equation, the digits are the same, but a zero has been added after 4, and the quotient thus has one zero at the end. So, we can write it as 4 tens ÷ 2 ones = 2 tens (using place value and the division fact).

Example - 400 ÷ 200 = 2

Similarly, for the third division equation, the same digits are present, but the number of zeros has increased. We are dividing 4 hundreds ÷ 2 ones = 2 hundreds (using place value and the division fact).

Therefore, place value blocks help in division for making it simpler.

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Hafiz has $25. His sister has 1/5 as much as Hafiz. His father has 40% as much as Hafiz. Calculate how much money Hafiz, his sister and his father have in total.


please answer it ​

Answers

Answer:

Step-by-step explanation:

According to question, we know that

His Sister has "1/5*$25 which is equal to $5, and his father has "40%*$25 which is equal to 0.4 * $25 = $10". So, the money Hafiz, his sister and his father have in total

= $25+$5+$10 = $40

Given

Hafiz = $25

Sister = [tex]\frac{1}{5}[/tex]

Father = 40%

Find

Total money of Hafiz, Sister, and Father altogether.

SolutionSister

[tex]\frac{1}{5} X[/tex] $25

= $5

Father

40% (0.4) x $25

= $ 10

Add all

$ 25 + $ 5 + $ 10

Answer$ 40

7 - Select the equation that represents a true statement.
Mark all that apply.
A. 2+3 × 4 = 22 +12
B. z+zx9 = 9z O
C. -8y + 4.3y + 3.7 = 0
D. 12-1.8b+ 1.8b = 1.8b
E. m8+7(8) = m​

Answers

So the only true statement among the options is C. -8y + 4.3y + 3.7 = 0

Define Equation.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Define Algebraic expression.

An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A good example of an algebraic expression is 3x2 2xy + c.

A. 2+3 × 4 = 22 +12 is not a true statement, because the order of operations is not followed, multiplication should be done before addition.

B. z+zx9 = 9z is not a true statement, because it is not clear what the operation is between z and x, and what the operation is between x and 9

C. -8y + 4.3y + 3.7 = 0 is a true statement because it is a linear equation with one variable y, it represents a straight line.

D. 12-1.8b+ 1.8b = 1.8b is not a true statement, as it seems to be a mathematical manipulation of one side of the equation to the other, but it doesn't seem to make sense mathematically.

E. m8+7(8) = m is not a true statement, as it seems to be a mathematical manipulation of one side of the equation to the other, but it doesn't seem to make sense mathematically.

So the only true statement among the options is C. -8y + 4.3y + 3.7 = 0

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Which graph represents the solution to the following inequality? 3x - 2y ≥ 6

Answers

Answer:

First, solve for two points as an equation instead of an inequality to find the boundary line for the inequality.

For:

x

=

0

(

3

0

)

+

2

y

=

6

0

+

2

y

=

6

2

y

=

6

2

y

2

=

6

2

y

=

3

or

(

0

,

3

)

For:

y

=

0

3

x

+

(

2

0

)

=

6

3

x

+

0

=

6

3

x

=

6

3

x

3

=

6

e

d

)

(

3

)

x

=

2

or

(

2

,

0

)

We can now graph the two points on the coordinate plane and draw a line through the points to mark the boundary of the inequality.

graph{(x^2+(y-3)^2-0.125)((x-2)^2+ y^2-0.125)(3x+2y-6)=0 [-20, 20, -10, 10]}

Now, we can shade the left side of the line. And we need to make the boundary line a dashed line because the inequality operator does not contain an "or equal to" clause.

graph{(3x+2y-6) < 0 [-20, 20, -10, 10]}

Step-by-step explanation:

Roller coaster A can reach a top speed of 110 ft./s roller coaster B can reach a top speed of 85 mph which roller coaster has a greater top speed?

Answers

Roller coaster B has greater top speed than roller coaster A.

What is unit conversion?

Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor. The process may also require selection of the correct number of significant digits, and rounding. Different units of conversion are used to measure different parameters.

Given,

speed of roller coaster A = 110ft./s

speed of roller coaster B = 85mph

1 mile = 5280 feet

⇒ 85 mile = 5280 × 85 = 448800 feet

1 hour = 3600 seconds

speed of roller coaster  B = 448800/3600 ft/s = 124.67 ft/s

comparing speed of both

Speed of roller coaster B > speed of roller coaster A

Hence roller coaster B has greater top speed.

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A new car loan has a term of loan from 2 - 6 years and the interest rate is between 4% and 8%. what is the longest amount of time you could take to pay off the loan? what is the best interest rate you could get?

Answers

a) The longest time a borrower can take to pay off the new car loan of 2 - 6 years is 6 years.

b) Based on the above, the best interest rate the borrower could get is 8%.

How is the interest rate determined?

Many factors are considered in determining the interest rate for a loan.

Some of the factors include:

Loan TermLoan TypeCredit ScoreLoan AmountDown PaymentInterest rate type.

We know that the longer the term of a loan, the higher the interest rate charged.  This higher rate is meant to compensate the lender for the time value of money, made variable by inflation and credit risks.

Thus, if a loan term varies between two and six years, the longest time to pay off the loan is 6 years while the best interest rate the borrower can be granted is 8%.

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Verify which of the following are identities. 1) 1 + = 4 sec 2) 15 cos = 15 a. Only the first equation is an identity. b. None of the equations are identities. c. Only the second equation is an identity. d. Both the equations are identities. Please select the best answer from the choices provided A B C D

Answers

The correct option regarding which of the sentences represents a trigonometric identity is given as follows:

b. None of the equations are identities.

What is a trigonometric identity?

A trigonometric identity is a relation that is true for all possible angle measures of [tex]\theta[/tex]

The first relation is given as follows:

[tex]4\cos{\theta}\tan{\theta}\sec{\theta} = 4[/tex]

The tangent and secant equations are given as follows:

tan(x) = sin(x)/cos(x).sec(x) = 1/cos(x).

Hence:

4cos(x)tan(x)sec(x) = 4cos(x) x sin(x)/cos(x) x 1/cos(x)

4cos(x)tan(x)sec(x) = 4sin(x)/cos(x)

4cos(x)tan(x)sec(x) = 4tan(x).

Meaning that the first statement is not an identity.

The second relation is given as follows:

[tex]\frac{9\sec^{2}{\theta}}{\cos^{2}{\theta}} - \frac{\tan^{2}{\theta}}{\cos^{2}{\theta}} = 2[/tex]

With a single denominator, we have that:

[tex]\frac{9\sec^{2}{\theta} - \tan^{2}{\theta}}{\cos^{2}{\theta}} = 2[/tex]

The secant identity is given as follows:

[tex]\sec^2{\theta} = 1 + \tan^2{\theta}[/tex]

Hence:

[tex]\frac{9\sec^{2}{\theta} - \tan^{2}{\theta}}{\cos^{2}{\theta}} = 2[/tex]

[tex]\frac{9(1 + \tan^2{\theta}) - \tan^{2}{\theta}}{\cos^{2}{\theta}} = 2[/tex]

[tex]\frac{9 + 8\tan^2{\theta}}{\cos^{2}{\theta}} = 2[/tex]

Is also a false statement, hence neither is an identity and option B is correct.

Missing Information

The statements are given by the image presented at the end of the answer.

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the graph of a function f is the collection of ____________ or (x,f(x)) such that x is in the domain of f

Answers

Answer: ordered pairs

7. A group of friends orders pizza at a restaurant. Each person gives some money to Chris before they order.

a. Chris has $63 to spend on the order, including tax. The tax at the restaurant is 5%. What is the maximum cost of food the group can order and not go over $63? Explain your reasoning.

b. Chris wants to leave a 15% tip on the price of the food, calculated before sales tax. What is the maximum cost of food the group can order and not go over $63? Explain.

Answers

The answer to a is: 59.85$ because 5% of 63$ is 3.15$ so take away 3.15 from 63 and you you 59.85

The answer to B is: 53.55$ because 15% of 63$ is 9.45$ so once again do the same thing you did to A and take away 9.45$ from 63$ and you get 53.55

Use the binomial theorem to expand expressions 1-4 and answer question 5.

1. (3x^2 +y)^3
2. (5x^4 +2y^5)^4
3. (x^3 +4y^2)^5
4. (x-2y)^6
5. find the coefficient of x^3 y^4 in the expansion of (2x+5y^2)^5

Answers

On solving the provided question, we cans ay that the value of x from the polynomial [tex]5x^4 +2y^5)^4[/tex] and [tex](3x^2 +y)^3[/tex]  is = 16 and 1

what are polynomials?

A polynomial is a mathematical statement made up of coefficients and uncertainty that exclusively uses additions, subtractions, multiplications, and positive integer powers of variables. A single indeterminate x polynomial is represented by the expression x2 4x + 7. A polynomial is an expression in mathematics that consists of variables (sometimes referred to as indeterminates) and coefficients that may be added, subtracted, multiplied, and raised to negative integer powers of non-variables. A polynomial is an algebraic expression made up of coefficients and variables. The only operations that an expression can contain are addition, subtraction, multiplication, and non-negative integer exponents. These expressions are known as polynomials.

here,

[tex]5x^4 +2y^5)^4[/tex] and [tex](3x^2 +y)^3[/tex]  

as x = 0 and y = 1

answer   is = 16 and 1

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An Item costs $450 Before tax. and the sales tax is $31.50
Find the sales tax rate. Write your answer as a percentage

Answers

The tax rate of an Item that costs $450 Before tax. and the sales tax is $31.50 is 7%

What is tax rate?

The tax rate is the percentage of an income or an amount of money that has to be paid as tax.

To find the tax rate of $31.50 from $450

The formula is

Amount taxed/Principal amount x 100

= $31.50/$450 x100

=$3150/450

=7%

Hence, the tax rate is 7%

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