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2 years ago

Will mark as Brainliest.

1 answer:

5 0

B.
first set it equal to zero:
3x^2-36 = 0
add 36 to both sides:
3x^2=36
divide by 3 to both sides:
x^2=12
take the square root of 12 and you get factors of 2,2, and 3, so you're answer is b.

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Find the equation of the inverse.<img src="https://tex.z-dn.net/?f=y%20%3D%20%20%7B2%7D%5E%7Bx%20%2B%205%7D%20%20-%206" id="TexF

Contact [7]

Find the equation of the inverse.

$y = {2}^{x + 5} - 6$

we have

$y=\mleft\{2\mright\}^{\mleft\{x+5\mright\}}-6$

step 1

Exchange the variables

x for y and y for x

$x=\{2\}^{\{y+5\}}-6$

step 2

Isolate the variable y

$(x+6)=2^{(y+5)}$

apply log both sides

$\begin{gathered} \log (x+6)=(y+5)\cdot\log (2) \\ y+5=\frac{\log (x+6)}{\log (2)} \\ \\ y=\frac{\log(x+6)}{\log(2)}-5 \end{gathered}$

step 3

Let

$f^{(-1)}(x)=y$

therefore

the inverse function is

$f^{(-1)}(x)=\frac{\log(x+6)}{\log(2)}-5$

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1 year ago

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What ever solution is left over after solved

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2 years ago

Read 2 more answers

Write each number as a product of the GCF and another sum. Then use the Distributive Property to rewrite the sum. 45 + 30 = (15

Lorico [155]

Answer:

x=5/2

Step-by-step explanation:

Calculate, rewrite, remove the paretheses

Collect the like terms

Swap sides 75=30x swap to 30x=75

Then divide both sides

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2 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

I need help lol. Find the lateral surface area of the figure to the nearest tenth.

Mekhanik [1.2K]

Answer:

101.9 sq ft

Step-by-step explanation:

The figure is missing: find it in attachment.

Here we want to find the lateral surface area of the figure, which is the sum of the areas of all faces.

We have in total 5 faces:

- 1 of them is rectangle with sizes (8.5 ft x 3.3 ft), so its area is

$A_1=8.5 \cdot 3.3 =28.1 ft^2$

- 1 of them is a rectangle with sizes (3.3 ft x 5.1 ft), so its area is

$A_2 = 3.3\cdot 5.1 =16.8 ft^2$

- 1 of them is a rectangle with sizes (6.8 ft x 3.3 ft), so its area is

$A_3 = 6.8\cdot 3.3 =22.4 ft^2$

- Finally, we have 2 triangular faces (top and bottom), so their area is

$A_T=\frac{1}{2}bh$

where

b = 5.1 ft is the base

h = 6.8 ft is the height (because the triangle is a right triangle)

So the area of the triangle is

$A_T=\frac{1}{2}(5.1)(6.8)=17.3 ft^2$

So the total lateral surface area of the figure is:

$A=A_1+A_2+A_3+2A_T=28.1+16.8+22.4+2(17.3)=101.9 ft^2$

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3 years ago