Answer:
176 cm
Step-by-step explanation:
You can use the Pythagorean theorem to find the hypotenuses of each triangle by sibstituting the given lengths of each leg.
Let the number of months = x , and total budget = y
<span>An inequality to represent the situation:

For budget = $155
∴ 155 = 20 x +15
solve for x
20 x = 155 - 15 = 140
∴ x = 140/20 = 7
∴ T</span>he greatest number of months = 7 <span>months.</span>
Answer:
A
Step-by-step explanation:
So we have the equation:

First, let's subtract 16 from both sides:

Now, let's divide both sides by 3:

Remember that with fractional exponents, we can move the denominator into the root position. Therefore:
![(\sqrt[3]{x-4})^4=16](https://tex.z-dn.net/?f=%28%5Csqrt%5B3%5D%7Bx-4%7D%29%5E4%3D16)
Let's take the fourth root of both sides. Since we're taking an even root, make sure to have the plus-minus symbol!
![\sqrt[3]{x-4} =\pm 2](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx-4%7D%20%3D%5Cpm%202)
Cube both sides. Since we're cubing, the plus-minus stays.

Add 4 to both sides.

Calculator:

So, our answer is A.
And we're done!
Answer:
See graph in attachment.
Step-by-step explanation:
The graph of
is a parabola that has its vertex at the origin.
The equation of the transformed graph is

The vertex of this transformed function is

Drag the blue graph up so that the vertex will now be at (4,3).
See graph in attachment.
Answer:
C
Step-by-step explanation:
Divide 62 by 4