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3 years ago

14

Marin writes the functions m(x) = StartFraction 3 x Over x + 7 EndFraction and n(x) = StartFraction 7 x Over 3 minus x EndFracti

on. Which equation must be true for m(x) and n(x) to be inverse functions?

1 answer:

cricket20 [7]3 years ago

5 0

Answer: B

Step-by-step explanation:

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0.75 is 10 times as much as

Shtirlitz [24]

Answer:

0.75=10x

Step-by-step explanation:

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3 years ago

Read 2 more answers

What is the halflife

blagie [28]

To model half-life, use the formula $A(t)=A_0 (\dfrac{1}{2})^{ \frac{t}{t_{1/2}}$ . Here, $A(t)$ is the amount remaining after a length of time $t$ . $A_0$ is the amount that you start with. $t_{1/2}$ is the half-life. You plug in 50 for $t_{1/2}$ , 10 for $A_0$ , and 25 for $t$ . You get $A(t)=10( \frac{1}{2})^{25/50} = 10( \frac{1}{2})^{1/2} = 7.07 \ grams$ .

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3 years ago

What is the area of a garden that measures 4mx4mx6mx4mx10mx8m

topjm [15]

The area of the garden is 120 square metre

<h2>Explanation:</h2>

The picture of the garden is shown below. In this problem, we have:

One square
Two rectangles

Recall that the area of a square is given by:

$A_{s}=L^2 \\ \\ A_{s}:Area \ of \ a \ square \\ L:Side \ of \ the \ square$

On the other hand, the area of a rectangle is given by:

$A_{r}=L_{1}\times L_{2} \\ \\ \\ A_{r}:Area \ of \ a \ rectangle \\ \\ L_{1}:Side \ 1 \ of \ the \ rectangle \\ \\ L_{2}:Side \ 2 \ of \ the \ rectangle$

Therefore:

FOR THE SQUARE:

$L=4m \\ \\ \\ Substituting \ values: \\ \\ \\ A_{s}=4^2 \\ \\ \boxed{A_{s}=16m^2}$

FOR THE RECTANGLE 1:

$L_{1}=6m \\ L_{2}=4m \\ \\ \\ Substituting \ values: \\ \\ \\ A_{r_{1}}=6(4) \\ \\ \boxed{A_{r_{1}}=24m^2}$

FOR THE RECTANGLE 2:

$L_{1}=10m \\ L_{2}=8m \\ \\ \\ Substituting \ values: \\ \\ \\ A_{r_{2}}=10(8) \\ \\ \boxed{A_{r_{2}}=80m^2}$

Finally, the area of a garden is the sum of the three areas:

$A_{total}=A_{s}+A_{r_{1}}+A_{r_{2}} \\ \\ A_{total}=16m^2+24m^2+80m^2 \\ \\ A_{total}=16+24+80 \\ \\ \boxed{A_{total}=120m^2}$

<h2>Learn more:</h2>

Area of a pizza: brainly.com/question/12878495

#LearnWithBrainly

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3 years ago

6. A pizza's original price is $11. It is on sale for $9.25. What percent off is it?

wolverine [178]

Solution:

<u>We know that:</u>

$Original \ price = \$11$

$Sale \ price = \$9.25$

$\frac{9.25}{11} + \frac{1.75}{11} =100\%$

<u>Simplify the equation to find the percent off:</u>

$\frac{9.25}{11} + \frac{1.75}{11} =100\%$

$84\% + \bold{16\%} = 100\% \space\ \space\ \space\ \ \ \ \ [Rounded]$

This means that the <u>original price</u> has decreased about 16%.

4 0

3 years ago

Calculate the constant of proportionality, k, for the given table.

yan [13]

Answer:

k = y/x

Step-by-step explanation:

1/5, 2/10, 3/15 . . . all equal to 1/5 which is what the value of k is; 'k' stands for constant of proportionality

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3 years ago