Answer:
x = 69.44
Step-by-step explanation:
We have, 36% × x = 25
or, 36/100 × x = 25
Multiplying both sides by 100 and dividing both sides by 36,
we have x = 25 × 100/36
x = 69.44
If you are using a calculator, simply enter 25×100÷36, which will give you the answer.
Answer:
p = <u>T</u> - a - <u>b</u>
Step-by-step explanation:
Hope that helps, not sure if it is correct though.
Answer:
(7, 0) and (-5, 0)
Step-by-step explanation:
<u>Vertex form</u>
(where (h, k) is the vertex)
Given:
![\implies y=a(x-1)^2-108](https://tex.z-dn.net/?f=%5Cimplies%20y%3Da%28x-1%29%5E2-108)
Given:
![\implies a(0-1)^2-108=-105](https://tex.z-dn.net/?f=%5Cimplies%20a%280-1%29%5E2-108%3D-105)
![\implies a(-1)^2=-105+108](https://tex.z-dn.net/?f=%5Cimplies%20a%28-1%29%5E2%3D-105%2B108)
![\implies a=3](https://tex.z-dn.net/?f=%5Cimplies%20a%3D3)
Therefore:
![\implies y=3(x-1)^2-108](https://tex.z-dn.net/?f=%5Cimplies%20y%3D3%28x-1%29%5E2-108)
The x-intercepts are when y = 0
![\implies 3(x-1)^2-108=0](https://tex.z-dn.net/?f=%5Cimplies%203%28x-1%29%5E2-108%3D0)
![\implies 3(x-1)^2=108](https://tex.z-dn.net/?f=%5Cimplies%203%28x-1%29%5E2%3D108)
![\implies (x-1)^2=36](https://tex.z-dn.net/?f=%5Cimplies%20%28x-1%29%5E2%3D36)
![\implies x-1=\pm \sqrt{36}](https://tex.z-dn.net/?f=%5Cimplies%20x-1%3D%5Cpm%20%5Csqrt%7B36%7D)
![\implies x=1\pm 6](https://tex.z-dn.net/?f=%5Cimplies%20x%3D1%5Cpm%206)
![\implies x=7, x=-5](https://tex.z-dn.net/?f=%5Cimplies%20x%3D7%2C%20x%3D-5)
Therefore, the x-intercepts are (7, 0) and (-5, 0)