Answer:
5:6
Step-by-step explanation:
20 divided by 4 = 5
24 divided by 4 = 6
So the ratio is 5:6
Answer:
f(x)=4x(x-3)
Vertex=3/2, -9
Step-by-step explanation:
First, factorize it.
That is equal to 4x(x-3)
Therefore, x intercepts are 0 and 3, as at least one of them need to be 0.
To find the vertex, first find the x of the vertex, which you can do by finding the average of the x intercepts, so it will be 3/2
Then, find the y, by making x in the original equation equal 3/2. This will give us -9 as the y.
The vertex will by 3/2, -9
Answer:
2) x times the seventh root of x cubed
Step-by-step explanation:
![\displaystyle\sqrt[7]{x^5}\cdot\sqrt[7]{x^5}=\sqrt[7]{x^{5+5}}\\\\=\sqrt[7]{x^{7+3}}=\sqrt[7]{x^7}\cdot\sqrt[7]{x^3}\\\\=x\sqrt[7]{x^3}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Csqrt%5B7%5D%7Bx%5E5%7D%5Ccdot%5Csqrt%5B7%5D%7Bx%5E5%7D%3D%5Csqrt%5B7%5D%7Bx%5E%7B5%2B5%7D%7D%5C%5C%5C%5C%3D%5Csqrt%5B7%5D%7Bx%5E%7B7%2B3%7D%7D%3D%5Csqrt%5B7%5D%7Bx%5E7%7D%5Ccdot%5Csqrt%5B7%5D%7Bx%5E3%7D%5C%5C%5C%5C%3Dx%5Csqrt%5B7%5D%7Bx%5E3%7D)
Answer:
(a) So the top of the hill is 365 feet above sea level.
(b) Checkpoint 5 is 185 feet higher than checkpoint 2.
Step-by-step explanation:
<u>Solution for (a):</u>
<u />
Checkpoint 2 is -218 feet above sea level.
The top of a hill rises 583 feet above Checkpoint 2.
The altitude of the top of the hill = -218 + 583 = 365
So the top of the hill is 365 feet above sea level.
<u>Solution for (b):</u>
<u />
Checkpoint 2 is -218 feet above sea level.
Checkpoint 5 is -33 feet above sea level.
Checkpoint 5 is -33 - -218 = 185 feet higher than checkpoint 2.
