Mai skated x miles, and Clare skated 35 3 5 farther than that. Write an equation to represent the relationship between the distance Mai skated (x) and the distance Clare skated (y). BoldItalicUnderline

Given:

The height of an object, f(x), after x seconds is

[tex]f(x)=-2x^2+32[/tex]

To find:

The time taken be object to hit the ground.

Solution:

We have,

[tex]f(x)=-2x^2+32[/tex]

The object will hit the ground if the height is 0, i.e., f(x)=0.

[tex]0=-2x^2+32[/tex]

[tex]2x^2=32[/tex]

Divide both sides by 2.

[tex]x^2=\dfrac{32}{2}[/tex]

[tex]x^2=16[/tex]

Taking square root on both sides.

[tex]x=\pm 4[/tex]

Time cannot be negative. So, x=4.

Therefore, the object will hit the ground after 4 seconds.

Answer: The slope is undefined.

Step-by-step explanation:

Using the formula given, find the difference in the y coordinates of the points and divide it by the x coordinates.

(3,6)

(3,-3)  

y coordinates:  6 - (-3) =  9

x coordinates:   3- 3 = 0  

9/0 =  undefined.

Any number being divided by 0  is undefined because you can't divide something by anything.  

Also remember that if a line is vertical through any of the x coordinate, the slope will always be undefined and the equation of line is x = 3

Answer:

It would be the 2nd one because 15+27=42 and that is less than 44 which should be more

Step-by-step explanation:

Answer:

ever get answer et

Step-by-step explanation:

Answer:

$510

Step-by-step explanation:

Formula for calculating money with simple interest: principle money × interest rate with 100% × period of time

Total amount of money = 100 × [tex]\frac{100+2}{100}[/tex] × 5

                                       = 510

Step-by-step explanation:

x cannot be factored out of these two monomials because x is not present in both of them.

The largest degree of x that can be factored out of all terms 9x and 45​ is 0

If we have [tex]a^b[/tex] then 'a' is called base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).

Exponentiation(the process of raising some number to some power) have some basic rules as:

[tex]a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\\\ a^b \times a^c = a^{b+c} \\\\^n\sqrt{a} = a^{1/n} \\\\(ab)^c = a^c \times b^c\\\\a^b = a^b \implies b= c \: \text{ (if a, b and c are real numbers and } a \neq 1 \: and \: a \neq -1 )[/tex]

Suppose there is a constant 'c'.

We can write it as:

[tex]c = c \times 1 = c \times x^0[/tex]

where 'x' is the variable in consideration. Here even when x = 0, we would assume that for all real numbers 'x', its power raised to 0 makes it evaluate to 1.

For this case, we can rewrite both the terms as:

Thus, the maximum of x that can come out common out of these two terms is [tex]x^0[/tex] (its degree, or power, or exponent is 0)

Thus, the largest degree of x that can be factored out of all terms 9x and 45​ is 0

Learn more about exponentiation here:

https://brainly.com/question/26938318

#SPJ2

Answer:

(1, 7)

x = 1

y = 7

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define systems

-5x + 2y = 9

y = 7x

Step 2: Solve for x

Substitution

Step 3: Solve for y

Answer: x = 1 and y = 7

Step-by-step explanation:

first you substitude y for 7x

-5x + 2(7x) = 9

then you distribute

-5x + 14x = 9

then you combine like terms

9x = 9

then you divide both sides by 9

x = 1

then you subsitute the x value in the other equations

y = 7(1)

meaning y = 7

Find the least common multiple.

List the multiples of each:

9, 18, 27, 36, 45, 54, 63, 72

6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72

8, 16, 24, 32, 40, 48, 56, 64, 72

The least common multiple is 72

The number of packs of each would be:

Bread rolls: 72/9 = 8

Cheese = 72/6 = 12

Ham = 72/8 = 9

Answer:

To know what the ratio for the cos of theta, we actually have to see the adjacent and hypotenuse values. cos=adjacent/hypotenuse.

Step-by-step explanation:

Answer:

18 nickels, 6 dimes, and 9 quarters

Step-by-step explanation:

nickels dimes and quarters

x y and z

x+y+z=33

y+3=z

3y=x

3y+y+y+3=33

5y+3=33

5y=30

y=6

z=9

x=18

Hope this helps plz hit the crown :D

Answer:

6 wrong.

Step-by-step explanation:

25 questions  76% 25*0.76=19 so he got 6 wrong.

Hope this helps plz hit the crown :D

Answer:

he got 19 correct and 6 incorrect

Step-by-step explanation:

Answer:

1/20

Step-by-step explanation:

1/20

Answer:

Step-by-step explanation:

(a+b)³

a³+a²b+ab²+b³

Or

a³+b³+ab(a+b)

[tex](a + b)^{3} = {a}^{3} + 3{a}^{2} b + 3a {b}^{2} + {b}^{3} [/tex]

Also do not get mixed between

[tex] {a}^{3} + {b}^{3} [/tex]

They both are not the same.

[tex](a + b)^{3} ≠ {a}^{3} + {b}^{3} [/tex]

Answer: m =11

Step-by-step explanation:Use the slope formula to find the slope  

m

.

Answer:

slope = 3/2

Step-by-step explanation:

(y2-y1)/(x2-x1)

= (6-3)/(9-7)

= 3/2

Hope this helps!       :3

plz mark as brainliest!

Answer:

Step-by-step explanation:

1

. Start by making a "let statement."

Let

x

represent the weight of the package.

2

. Create an algebraic expression.

5

7

x

=

40.5

i

pounds

3

. Isolate for

x

by dividing both sides by

5

7

.

5

7

x

÷

5

7

=

40.5

i

pounds

÷

5

7

4

. Recall that in order to divide a fraction by another fraction, take the reciprocal of the divisor and change the division sign to a multiplication sign.

5

7

x

⋅

7

5

=

40.5

i

pounds

⋅

7

5

5

. Solve for

x

.

5

⋅

7

7

⋅

5

x

=

40.5

⋅

7

5

i

pounds

x

=

∣

∣

∣

∣

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

a

a

56.7

i

pounds

a

a

∣

∣

−−−−−−−−−−−−−−−

Answer:

-1078

Step-by-step explanation:

n=0 is the first term in the sequence.

Every next term is 20 less then the previous term.

In Mathematics you can write this as follows:

f(n) = f(0) - (n-1)*20

f(n) = f(0) - {(n-1)*20}

f(n) = f(0) - {(20n) -20}

Attention: Please note that -1 * -20 = +20

f(n) = f(0) - 20n + 20

Check yourself, find f(2):

f(0) = 2

f(2) = 2 - 20*2 + 20

f(2) = 2 - 40 + 20

f(2) = 2 - 20

f(2) = -18

Check yourself once more, find f(3):

f(0) = 2

f(3) = 2 - 20*3 + 20

f(3) = 2 - 60 + 20

f(3) = 2 - 40

f(3) = -38

Now just find f(55):

f(55) = 2

f(55) = 2 - 20*55 + 20

f(55) = 2 - 1100 + 20

f(55) = 2 - 1080

f(55) = -1078

Answer:

Hence the artic depth is approximately 31 times deeper than atlantic

Step-by-step explanation:

Given the following;

Average depth of the Artic Ocean = 3.953 x 10^5 feet

Average depth of the Atlantic Ocean = 1.2851 x 10^4 feet.

Taking the ratio of both depth;

Ratio = Depth of Artic/Depth of Atlantic

Ratio =  3.953 x 10^5/1.2851 x 10^4

Ratio =  3.076 * 10^1

Ratio = 30.76

Depth of artic/depth of atlantic = 30.76

Depth of artic = 30.76 * depth of atlantic

Hence the artic depth is approximately 31 times deeper than atlantic

Answer:16

Step-by-step explanation:

Using this tool you can find the percent Decrease for any value. So, we think you reached us looking for answers to questions like:

1) What is the percentage Decrease from 64 to 48? 2) What is the absolute Decrease from 64 to 48. Or may be: What is the percent change from 64 to 48?

See the solution to these problems just after below.

How to calculate percent change - Step by Step

Percent increase or decrease measures percent changes between two values. Use this calculator when comparing an old value to a new value.

The Percent Calculator (Change) uses this formula:

% change = New Value - Old Value|Old Value|× 100%

Where |Old Value| represents the absolute value of the reference (this is made in order to work well with both positive and negative values of Old Value and New Value. Note that percent change and relative change mean the same thing. It can be a percent increase or a percent decrease depending on the new and the old values. If the new value is greater than the old value, the result will be positive and we will have a increase. On the other hand, if the new value is smaller than old value, the result will be negative and we will have a we have a decrease. The old value, as a reference, may be: a theoretical, the actual, the correct, an accepted, an optimal, the starting, and so on. See more about percent percent change here.

Here are the solutions to the questions stated above:

1) What is the percentage decrease from 64 to 48?

Use the above formula to find the percent change. So, replacing the given values, we have

Percent change = 48 - 6464 x 100 = -25 % (decrease)

Where: 64 is the old value and 48 is the new value. In this case we have a % of decrease because the new value is smaller than the old value.

2) What is the absolute Decrease from 64 to 48?

This problem is not about percent or relative change, but about absolute change. Its solution is very simple:

Absolute change, or

change = new value - old value

= 48 - 64 = -16 (decrease)

Answer: -25%

Step-by-step explanation:A change from 64 to 48 represents a negative change (decrease) of -25%

Use the formula found below on this webpage to find the percent change by replacing the given values:

Percent change = New - Old

|Old|

x 100%

Percent change = 48 - 64

|64|

x 100 = -16

64

x 100 = -25 % (decrease)

Where: 64 is the old value and 48 is the new value. In this case we have a negative change (decrease) of -25 percent because the new value is smaller than the old value.

Answer:

3 meters/second

Step-by-step explanation:

acceleration = rate of change of speed (velocity)/change in time

                     = 16 - 4/4

                     = 12/4 = 3 m/s

Answer:

0

Step-by-step explanation:

Let's solve your equation step-by-step.

−3(10+4v)=−6(5−9v)

Step 1: Simplify both sides of the equation.

−3(10+4v)=−6(5−9v)

(−3)(10)+(−3)(4v)=(−6)(5)+(−6)(−9v)(Distribute)

−30+−12v=−30+54v

−12v−30=54v−30

Step 2: Subtract 54v from both sides.

−12v−30−54v=54v−30−54v

−66v−30=−30

Step 3: Add 30 to both sides.

−66v−30+30=−30+30

−66v=0

Step 4: Divide both sides by -66.

−66v

−66

=

0

−66

v=0

Answer:

omg im so sorry

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

15*30 is 450 rounded down is 45

Answer:

x=2

Step-by-step explanation:

5x-7=3

Add 7 to each side

5x - 7+7 = 3+7

5x = 10

Divide each side by 5

5x/5 = 10/5

x = 2

Answer:

x = 2

Step-by-step explanation:

5x-7=3

Move the 7 from the left side. So you'll add it to both sides

5x-7(+7)=3(+7)

Making your formula

5x=10

Then divide 5x on both sides

Since 5x divided by itself is one it's just x

10 divided by 5 is 2

So the answer is x = 2

Answer:

B. I think, im not in this level yet

Step-by-step explanation:

Answer:

B. y-intercept = 2 and slope = 3

Step-by-step explanation:

Answer:

y intercept is 2 and slope is - 3

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of acre on which crop A is farmed and B represent the number of acre crop B is farmed.

Therefore:

Since there is a total of 40 acre farm, hence:

x + y = 40        (1)

The farmer can spend at most $900 on seed, crop A seed cost $15 and crop B seed cost $50, hence:

15x + 50y ≤ 900   (2)

Her profit is given as:

Profit = 50x + 110y

From the geogebra plot, the point that maximizes the profit is at (60, 0)

Therefore the maximum profit = 50(60) + 110(0) = $3000

Answer:

Correct answer:

3

Step-by-step explanation:Using the defined function, f(a) will produce the same result when substituted for x:

f(a) =  a2 – 5

Setting this equal to 4, you can solve for a:

a2 – 5 = 4

a2 = 9

a = –3 or 3