2 years ago

Question 7 of 19

Mathematics

1 answer:

Ierofanga [76]2 years ago

5 0

C, 120 units2 is the answer

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Solve for x: 7x + 15 = 38

olganol [36]

7x + 15 = 38
7x = 38 - 15
7x = 23
x = 23/7 (twenty- three sevenths)

7 0

2 years ago

A rental car company charges $150.00 for a weekly rental and an additional $0.20 for each mile driven. The function rule C = 0.2

son4ous [18]

Answer:

A rental car company charges $150.00 for a weekly rental and an additional $0.20 for each mile driven.

The function $C = 0.20m+ 150.00$ ,

where m is the number of miles and C is the total cost.

Since it is given that : If the rental car can only be driven a maximum of 200 miles.

Then the total cost for this is,

$C = 0.20 (200)+150$ or

$C= 40+150$

On simplify we get,

$C = \$ 190$

A rental Car can only be driven a maximum of 200 miles for a cost of $ 190.

Graph the function : $C = 0.20m+ 150.00$ as shown in the attachment.

7 0

3 years ago

Consider the function f(x) = √5x + 15 for the domain [-3, ∞).Find f-¹(x), where f-1 is the inverse of f.Also state the domain of

Ymorist [56]

Answer: We have to find the inverse function of the following:

$f(x)=\sqrt{5x+15}\rightarrow[-3,\infty)\Rightarrow(1)$

The Inverse of the (1) is as follows:

$\begin{gathered} f(x)=y=\sqrt{5x+15} \\ \\ \text{ Switch: }x\text{ and }y\text{ and solve for }y(x)\text{ } \\ \\ \\ y=\sqrt{5x+15}\rightarrow x=\sqrt{5y+15} \\ \\ \\ x^2=5y+15 \\ \\ \\ x^2-15=5y \\ \\ \\ y=\frac{x^2}{5}-\frac{15}{5} \\ \\ \\ \\ y=f^{-1}(x)=\frac{x^2}{5}-3 \\ \\ \\ f^{-1}(x)=\frac{x^{2}}{5}-3 \end{gathered}$

The domain of the inverse function is: