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3 years ago

Which expression represents five less than the square of one more than a number?

Mathematics

2 answers:

vredina [299]3 years ago

5 0

Answer:

(x+1)² - 5

Step-by-step explanation:

one more than a number: x+1

the square of that (x+1)²

five less than that (x+1)² - 5

Leona [35]3 years ago

3 0

I’m pretty sure it’s the third chose

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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

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

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3 years ago

Rewrite the equation 7-y=5x+11 to standard form

Zielflug [23.3K]

Rewriting this <span>7-y=5x+11 in standard form involves only changing the order in which the terms appear:

</span><span>7-y=5x+11 becomes 5x + y + 11 - 7 = 0, or 5x + y + 4 = 0, or 5x + y = -4.</span>

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3 years ago

Factor the expression below.

Lemur [1.5K]

The answer is C
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...
....
......
........
......
.....
....
..
.

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3 years ago

What's the length of side b in the figure below? I posted a picture so you can view the actual problem. Please help.

svetoff [14.1K]

we know that

in the right triangle of the figure

Applying the Pythagorean Theorem

$13^{2} =b^{2} +7^{2} \\ b^{2} =13^{2}-7^{2}\\ b^{2}=120\\ b=\sqrt{120} \ cm$

therefore

the answer is the option

C) $b=\sqrt{120} \ centimeters$

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3 years ago

Read 2 more answers

X and y intercepts of -3x+4y=-36

Andrews [41]

X intercept is 12
Y intercept is 9.
To find answer just cover up the one you don't want.
For x it would be -3x=-36
For y it would be 4y=-36

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3 years ago