Answer:
y = 3x + 7
(Not sure what the question was so, I just put it in slope intercept form)
Step-by-step explanation:
Let x be Steve's age.
Steve = x
Steve's Mom = y
Now let's create an equation:
y - 7 = 3x
y = 3x + 7
(Not sure what the question was so, I just put it in slope intercept form)
Please let me know if I misunderstood the question that way I can help you! <3
Answer:
It would probably be 15 actually
Ummm .... the answer is D
Answer:
Step-by-step explanation:
6w + 6 = 36
6w = 36 - 6
6w = 30
w = 30/6
w = 5
Answer: 118.40, 300, $18,000
<u>Step-by-step explanation:</u>
a) p(x) = ![-\frac{1}{5} (8) + 120](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B5%7D%20%288%29%20%2B%20120)
p(8) = ![-\frac{8}{5} + 120](https://tex.z-dn.net/?f=-%5Cfrac%7B8%7D%7B5%7D%20%2B%20120)
= -1.60 + 120
= 118.40
b) R(x) = x * p(x)
= ![x(-\frac{1}{5}x + 120)](https://tex.z-dn.net/?f=x%28-%5Cfrac%7B1%7D%7B5%7Dx%20%2B%20120%29)
= ![-\frac{1}{5}x^{2} + 120x](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B5%7Dx%5E%7B2%7D%20%2B%20120x)
a=
, b=120
x = ![\frac{-b}{2a}](https://tex.z-dn.net/?f=%5Cfrac%7B-b%7D%7B2a%7D)
= ![\frac{-120}{-\frac{2}{5}}](https://tex.z-dn.net/?f=%5Cfrac%7B-120%7D%7B-%5Cfrac%7B2%7D%7B5%7D%7D)
= ![\frac{-120(5)}{-2}](https://tex.z-dn.net/?f=%5Cfrac%7B-120%285%29%7D%7B-2%7D)
= 300
c) R(x) = ![-\frac{1}{5}x^{2} + 120x](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B5%7Dx%5E%7B2%7D%20%2B%20120x)
R(300) = ![-\frac{1}{5}(300)^{2} + 120(300)](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B5%7D%28300%29%5E%7B2%7D%20%2B%20120%28300%29)
= -18,000 + 36,000
= 18,000
***********************************************************************
sec θ = ![\sqrt{6}](https://tex.z-dn.net/?f=%5Csqrt%7B6%7D)
![\frac{hypotenuse}{adjacent} = \frac{\sqrt{6}}{1}](https://tex.z-dn.net/?f=%5Cfrac%7Bhypotenuse%7D%7Badjacent%7D%20%3D%20%5Cfrac%7B%5Csqrt%7B6%7D%7D%7B1%7D)
adjacent² + opposite² = hypotenuse²
1² + opposite² = (√6)²
1 + opposite² = 6
opposite² = 5
opposite = √5
csc θ = ![\frac{hypotenuse}{opposite} = \frac{\sqrt{6}}{\sqrt{5}} = \frac{\sqrt{30}}{5}](https://tex.z-dn.net/?f=%5Cfrac%7Bhypotenuse%7D%7Bopposite%7D%20%3D%20%5Cfrac%7B%5Csqrt%7B6%7D%7D%7B%5Csqrt%7B5%7D%7D%20%3D%20%5Cfrac%7B%5Csqrt%7B30%7D%7D%7B5%7D)
cot θ = ![\frac{adjacent}{opposite} = \frac{1}{\sqrt{5}} = \frac{\sqrt{5}}{5}](https://tex.z-dn.net/?f=%5Cfrac%7Badjacent%7D%7Bopposite%7D%20%3D%20%5Cfrac%7B1%7D%7B%5Csqrt%7B5%7D%7D%20%3D%20%5Cfrac%7B%5Csqrt%7B5%7D%7D%7B5%7D)
sin θ =
cos θ = ![\frac{adjacent}{hypotenuse} = \frac{1}{\sqrt{6}} = \frac{\sqrt{6}}{6}](https://tex.z-dn.net/?f=%5Cfrac%7Badjacent%7D%7Bhypotenuse%7D%20%3D%20%5Cfrac%7B1%7D%7B%5Csqrt%7B6%7D%7D%20%3D%20%5Cfrac%7B%5Csqrt%7B6%7D%7D%7B6%7D)
tan θ = ![\frac{opposite}{adjacent} = \frac{\sqrt{5}}{1} = \sqrt{5}](https://tex.z-dn.net/?f=%5Cfrac%7Bopposite%7D%7Badjacent%7D%20%3D%20%5Cfrac%7B%5Csqrt%7B5%7D%7D%7B1%7D%20%3D%20%5Csqrt%7B5%7D)
**********************************************************************
Answer: 144°
<u>Step-by-step explanation:</u>
![\frac{\pi}{180}=\frac{4\pi}{5(x)}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%7D%7B180%7D%3D%5Cfrac%7B4%5Cpi%7D%7B5%28x%29%7D)
π(5x) = 180(4π)
x = ![\frac{180(4\pi)}{5\pi}](https://tex.z-dn.net/?f=%5Cfrac%7B180%284%5Cpi%29%7D%7B5%5Cpi%7D)
= 36(4)
= 144