PLEASE HELP !!

When a right triangle with a hypotenuse of 1 is placed in the unit circle, which sides of the triangle correspond to the x- and y-coordinates?

The required expression is f(x) = (3x - 2).

A linear expression is an algebraic equation of highest degree 1 and it contains only one variable. A quadratic expression is an algebraic expression in which the variable has highest degree of 2. In a quadratic equation the two values of variable which satisfies the equation ax² + bx + c = 0 is called the roots of the given equation. According to the given question Square then subtract 5 is expressed as the function f(x) = x² - 5

∴ The function Multiply by 3, then subtract 2 will be expressed as

f(x) = (3x - 2).

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Complete question:

Express the rule in function notation. (For example, the rule "square, then subtract 5" is expressed as the function f(x) = (x2 − 5.)Multiply by 3, then subtract 2.

Problem

Solution

For this case we can conclude that:

DE = r

DF= s

EF= t

The decimal that is equivalent to 9% is:

Then, the decimal which is equivalent to 9% is 0.09.

There could have been 2,5,6, and 9 singers

1) Regarding 775,710 as an even number then for sure there could have been 2 singers on this TV Show

2) On the other hand, 775710 is also divisible by 5, for its last number is 0. So there could also have been 5 singers.

3) This number of teenagers can also be divided by 6 (for it is divisible by 2 and by 3) and by 9 as well ( the sum of the digits of 775710, 7+7+5+7+1+0=27 is also divisible by 9).

Hence, there could have been 2,5,6, and 9 singers since 775,710 can be divided exactly by 2,5,6, and 9.

At first, we will change the feet to the yard because the cost of carpet is per square yard

Since 1 yard = 3 feet, then

Divide each dimension by 3 to change it from feet to yard

Since the length of the room = 24 feet, then

The length of the room = 24/3 = 8 yards

Since the width of the room = 15 feet, then

The width of the room = 15/3 = 5 yards

The rule of the area of the rectangle is

Area = Length x width, then

The area of the room = 8 x 5 = 40 square yards

Since we will add extra 4 square yards to it, then

The total area needs to cover = 40 + 4 = 44 square yards

Since the cost of 1 square yard = $36, then

Multiply the area by the cost to find the cost of the carpet

The total cost = 44 x 36 = 1584

The cost of the carpet is $1584

The percent of bags of cookies will contain between 48 and 68 cookies is 68.29%.

The average of the specified collection of numbers is what is referred to as mean. It indicates that values in a particular data set are distributed equally.

μ = 58,  σ = 5,

Z₁ = X₁  - (μ/ σ)

= 48 - (58/5)

= 36.4

again,

Z₂=  X₂ - (μ/ σ)

= 68 - (58/5)

= 56.4

Thus, we know P( 48 < X < 68)

= p(-1 < Z < 1)

= 0.6829

= 68.29%

68.29% bags of cookies will contain between 48 and 68 cookies.

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Expression of the given interval (-4,-1) in inequality notation is -4< x <-1.

As given,

Given interval:

( -4 , -1 )

Let us consider x variable belongs to given interval x ∈ ( -4 , -1 ).

Given interval ( -4 , -1 ) is open interval.

In open interval when we plot it on the real number line , we are not including upper limit and the lower limit of the given interval.

-4 and -1 are exclusive values for the given variable.

Symbol representing open interval is sign of < or >.

Interval (-4,-1) in inequality notation is given by -4 < x < -1.

All values are included between -4 and -1 except -4 and -1.

Therefore, the expression of the given interval (-4,-1) in inequality notation is -4 < x < -1.

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The dividend is

and the divisor is

x+2

We begin by arranging them as follows:

now, we divide the leading term in the dividend by the leading term in the divisor to get the first term of the quotient: 4x^2 / x = 4x.

Then we multiply the divisor by 4x and subtract

the result from the dividend. That is:

We repeat the same procedure: using the last line -3x - 6 as the dividend:

So, the leading term of -3x-6 is -3x, so we have -3x/x = -3. Then we multiply the divisor by -3 and subtract the result from the dividend. That is:

Because the remainder is 0, we have finished the division. So the correct answer will be 4x-3

The perimeter of the shaded figure is 12 units

The area of the shaded figure is 8 square units

Given,

Length of the shaded figure = 4 units

Width of the shaded figure = 2 units.

The shaded figure resembles a rectangle

So,

Perimeter of the shaded figure = 2( length + width)

Perimeter, P = 2 ( 4 + 2)

P = 2 × 6

P = 12 units

Now,

Area of the shaded figure = length × width

Area, A = 4 × 2

A = 6 square units

Therefore,

The perimeter of the shaded figure is 12 units

The area of the shaded figure is 8 square units

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We will investigate the evaluation of recursive sequences.

A iterative sequences are categorized by two values i.e one value preceding and the current value. The current value is evaluated on the basis of the previous value. In other words the current value is a function of preceeding value or depends on it.

All iterative relations of a sequence are expressed mathematically by two values as follows:

A iterative relation is a unique mathematical relationship between the current term f ( n ) and the previous value given as follows:

For this particular relationship the first term value is given as follows:

We will now start determining the terms in the sequence by plugging the respective term numbers ( n ) and use the mathematical relationship for the sequence as follows:

We have evaluated the 2nd term in the sequence as 13. We will repeat the above steps for all term numbers ( n = 3 , 4 , 5 , 6 ).

And them lastly for the 6th term in the sequence as follows:

Hence, the answer to the 6th term number is:

Answer:

Explanation:

Answer:

Let x = amount in low risk account, then 10000-x is amount invested in high risk account. To earn 10% of 10000:

(.10)(10000) = (.055)x + .12(10000-x)

1000 = 1200 -.045x

x = 4444.44 in low risk and 5555.56 in high risk

The given graph representing function is a relation.

For the given question,

For every singles value of 'x' there is value on y. Thus, no domain element is repeating for the graph.

Thus, the graph shows the relation of the function.

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The total value of the exponential expression is a³

What is Exponentiation ?

Exponentiation is a mathematical operation that involves the base number (b) and the exponent (or power) number (n), and is represented as bⁿ. Its pronunciation is "b (raised) to the (power of) n." Exponentiation corresponds to repeated base multiplication where n is a positive integer; so, bⁿ is the result of multiplying n bases.

Now, The given expression is :

a^3 (2a^2 + 4bc^4)^ 0

From the properties of exponents we know that:

a⁰ = 1

Therefore the value of the part of the expression (2a² + 4bc⁴)⁰ is 1

Hence,  The total value of the exponential expression is a³

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The least number of decimal places in the other factor is 2

A factor simply means the number that can b multiplied with another number to get the original number.

Based on the question asked, lat the whole number be represented as 2. In this case the multiplication will be:

= 2 × 17.22

=34.44

In this case, one can see that 17.22 has 2 decimal places.

Therefore, the correct option is 2.

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Graph with the x axis labeled number of students and the y axis labeled amount of money raised and a line going from the point 0 comma negative 120 through the point 2 comma negative 100

Decorations for the dance cost $120

the club is charging $10 per student that attends.

In the graph, the x axis is labelled with number of students and the y axis with amount of money collected

As they spend $120 for the decorations of the dance the starting point for the money raised is -120, upon charging 2 students the money they will get is 2 x 10 = 20

So the money raised will be

-120 + 20 = -100

The line will pass from point (0, -120) through (2, -100)

Therefore, graph with the x axis labeled number of students and the y axis labeled amount of money raised and a line going from the point 0 comma negative 120 through the point 2 comma negative 100 is correct.

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Answer:

Step-by-step explanation:

A middle school club is planning a homecoming dance to raise money for the school. Decorations for the dance cost $100, and the club is charging $10 per student that attends.

Which graph describes the relationship between the amount of money raised and the number of students who attend the dance?

An inverse function which represents the average sales each day for the real estate company is: D. S⁻¹ = (t + 4)/(t - 5).

In order to determine equation which represents the average sales each day for the real estate company, we would factorize the numerator and denominator of the given inverse function as follows:

Numerator = t² + 3t - 4

Next, we would solve the quadratic equation by using the factorization method:

t² + 3t - 4 = t² + 4t - t - 4

t² + 4t - t - 4 = t(t + 4) - 1(t + 4)

t² + 4t - t - 4 = (t - 1)(t + 4)

Numerator = (t - 1)(t + 4)

For the denominator, we have:

t² - 6t + 5 = t² - 5t - t + 5

t² - 5t - t + 5 = t(t - 5) - 1(t - 5)

t² - 5t - t + 5 = (t - 1)(t - 5)

Denominator = (t - 1)(t - 5)

Now, we would rewrite the inverse function as follows:

S⁻¹ = Numerator/Denominator

S⁻¹ = (t - 1)(t + 4)/(t - 1)(t - 5)

S⁻¹ = (t + 4)/(t - 5)

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Answer:

Step-by-step explanation:

You want to solve the equations and check the solutions for ...

1. -2a-9=6a+15

2. 14+3n = 5n-6

3. 1/2 x -5=10 - 3/4 x

4. 7/3 y+1=1/6 y+8

Each of these equations has both a variable term and a constant term on each side of the equal sign. The usual 3-step solution is ...

This can be made less error-prone by choosing the variable term in Step 1 that has the smallest (least) coefficient. Then the constant in Step 2 will be the constant on the side of the equation that has the variable term with the largest coefficient.

We can do the subtractions of Step 1 and Step 2 both at the same time, reducing the work slightly. Of course, subtraction is the same as adding the opposite. Then what remains is dividing by the coefficient of the variable (or multiplying by its inverse).

  Add 2a -15 to both sides:

  -24 = 8a

  -3 = a . . . . . . divide by 8

  check: -2(-3)-9 = 6(-3) +15   ⇒   -3 = -3 . . . checks OK

  Add -3n+6 to both sides:

  20 = 2n

  10 = n . . . . . . divide by 2

  check: 14 +3(10) = 5(10) -6   ⇒   44 = 44 . . . checks OK

  Add 3/4x +5 to both sides:

  5/4x = 15

  x = 12 . . . . . . multiply by 4/5

  check: 1/2(12) -5 = 10 -3/4(12)   ⇒   1 = 1 . . . checks OK

  Add -1/6y -1 to both sides:

  13/6y = 7

  y = 42/13 . . . . . multiply by 6/13

  check: (7/3)(42/13) +1 = (1/6)(42/13) +8   ⇒   98/13 +1 = 7/13 +8

  ⇒   8 7/13 = 8 7/13 . . . checks OK

ANSWER

1.) YES! Maryse used her equation correctly.

2.) NO! Maryse did not use her equation correctly.

EXPLANATION

Given:

A bike ride model: y = 7x

where:

1). x is the time Maryse spent riding,

2). y is the distance she traveled

Now, she rode 14 miles in the first two hours of her trip

That is:

y = 7x

where y = 14 miles and x = 2 hours

14 = 7(2)

14 = 14

She indeed used her equation correctly.

When she predicted that she would travel 40 miles if she rode for four hours.

That is:

y = 7x

where y = 40 miles and x = 4 hours

Hence, She indeed used her equation correctly in part one but she did not use her equation correctly in part two.

Answer:

Step-by-step explanation:

the volume of the box: (cubes have all equal sides)

"cube-shaped boxes that each have a side length of 1.5 square feet."

V = lwh

V = 1.5 * 1.5 * 1.5

V = 3.375 cubic feet

the space inside the truck:

"The moving truck is 8 feet long, 6.5 feet wide, and 6.25 feet tall."

V = lwh

V = 8 * 6.5 * 6.25

V = 325 cubic feet

Now we see how many boxes we can fit, by dividing the size of the truck, by the boxes:

325 ÷ 3.375 = 96.2962963

96.2962963 boxes BUT you can't have .2962963 (part) of a box so you can only fit...

The growth of the real GDP per capita from 2019 to 2020 is 1.4.

Therefore, the formula to compute real GDP per capita = Real GDP / Population.

The real GDP in 2019 is $100B.

And the real GDP in 2020 is $240B.

The growth rate of real GDP = current value - previous value / previous value

Therefore, the growth of the real GDP per capita from 2019 to 2020 is 1.4.

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Answer:

A. 96 U2

Step-by-step explanation:

The cube has 6 faces

Multiply by 6 the area of one face

Surface area = 6 (4)(4) = 96 units2

Hope this helps

Answer:

0.02, 0.113, 0.2 0.38 0.4

Step-by-step explanation:

The answer to the given expression is 2

To "solve" or "isolate" a variable is to place it on its own side of the equation.

All other variables or constants should be moved to the opposite side of the equation using inverse operations. The operations must be applied to both sides of the equation in order to maintain the equation's balance.

Given : x = 5 and y = 7

To find :  [tex]\frac{y^{2} - x }{y + 3x}[/tex]

When we substitute the values mentioned above in this above expression we get;

[tex]\frac{7^{2}- 5 }{ 7+ 3X5}[/tex]

⇒ [tex]\frac{49 - 5}{ 7 + 15}[/tex]

⇒ [tex]\frac{44}{22}[/tex]

On dividing it with 22 we get

[tex]\frac{44}{22}[/tex] = 2

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10 degrees celsius

The formula for converting temperature in degree Farenheit to degree Celcius is:

By taking some products, we will see that the average amount processed per day is 1,260 tons.

We know that the recycling plant processes an average of 7/8 tons of cardboard each minute.

In one hour we have 60 minutes, so the amount processed per hour is given by the product:

60*7/8 tons = 52.5 tons.

And in one day we have 24 hours, so the total amount processed in one day is 24 times what we got above, which is:

24*52.5 tons = 1,260 tons.

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SOLUTION

The given expression is

Recall the formula for combination

Solving the given expresssion

This further gives

This further gives

Therefore the solution is 8

Answer:

1/100 or -1/100

Step-by-step explanation:

the two solutions are

0.01 = 1/100

-0.01 = -1/100