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3 years ago

I would really appreciate it if this would get answered thank you

Mathematics

1 answer:

Maksim231197 [3]3 years ago

5 0

Answer: I'll simplify the inequality

11. x≤8

12. y<8

13. z>2

14. b≥12

15. c<1.8

16. already solved a≤0

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Which equation is the inverse of y = 9x2 - 4?

m_a_m_a [10]

Answer:

The inverse will be:

$y' = \frac{\sqrt{x+4}}{3}$

Step-by-step explanation:

In order to find the inverse of the equation, we do a variable change, since we are finding the inverse, :

$f(x) = 9x^{2} - 4$

$y = 9x^{2} - 4$

$x = 9y' ^{2} - 4$

Now solve for y'.

First add 4 in both sides of the equation and change to the left y'.

$x + 4= 9y'^{2} - 4+4$

$9y'^{2}$ = x + 4

Second divide by 9

$9y'^{2}$ /9 = (x + 4)/9

$y'^{2}$ = (x + 4)/9

Now you will have to clear y, with the square root.

$[tex]y'^{\frac{2}{2}} = \sqrt{x + 4} / \sqrt{9}$ [/tex] =

Simplifying terms

$y' = \frac{\sqrt{x+4}}{3}$

$f^{-1}(x) = \frac{\sqrt{x+4}}{3}$

You can check the answer by doing the evaluation of the following equation:

(f o $f^{-1}$ ) (x)

substitute the equation for y' or inverse function $f^{-1}$

f( $\frac{\sqrt{x+4} }{3}$ )

Now substitue the value into f(x)

You will have

$= 9(\frac{\sqrt{x+4} }{3}} )^{2} - 4\\\\Solving\\\\9(\frac{{x+4} }{9}} ) - 4$

5 0

3 years ago

Mei's Diner sold 230 milkshakes last week. 69 of the milkshakes had whipped cream on top. What percentage of the milkshakes had

Orlov [11]

Answer:

30%

Step-by-step explanation:

To know the percentage you times the fraction with 100

$\frac{69}{230} \times 100 = 30$

Since you have 69 milkshakes with whipped cream out of the 230 milkshakes. And you times it with 100

3 0

3 years ago

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Find the absolute value of each number

Ainat [17]

There is no picture but ok

6 0

2 years ago

Read 2 more answers

For what values of x will 8+x to the third power be negative

Ganezh [65]

(8+x)^3 < 0

take the cube root

8+x <0

subtract 8

x<-8

Answer x<-8

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3 years ago

PLEASE HELP!!!!!!!!

Vlad [161]

Answer: C is the answer

Step-by-step explanation:

7 0

2 years ago