Answer:
The answer is n = <u>31</u>
Step-by-step explanation:
Equation: <u>2n + 13</u> = 75
2n = 75 - 13
2n = 62
n = 62/2
n = 31
check:
2*31 + 13 = 75
62 + 13 = 75
Answer:
Step-by-step explanation:
It should say a "highway bridge." No bride should be anchored to the ground.
x² = 1.5² + 6.8² = 48.49
x = √48.49 ≅ 7 units
Answer:
the x-intercepts are -5 and 2
Step-by-step explanation:
![y=2x^2+6x-20](https://tex.z-dn.net/?f=y%3D2x%5E2%2B6x-20)
x-intercept is when y is set equal to zero
So, y = 0
![0 = 2x^2+6x-20](https://tex.z-dn.net/?f=0%20%3D%202x%5E2%2B6x-20)
![2x^3+6x-20 = 0\\Taking \ 2 \ common\\2(x^2+3x-10) = 0\\Dividing \ both \ sides \ by \ 2\\x^2+3x-10 = 0\\Using \ mid\ term \ break \ formula\\x^2+5x-2x-10 = 0\\x(x+5)-2(x+5)=0\\Taking \ (x+5) \ common\\(x+5)(x-2) = 0](https://tex.z-dn.net/?f=2x%5E3%2B6x-20%20%3D%200%5C%5CTaking%20%5C%202%20%5C%20common%5C%5C2%28x%5E2%2B3x-10%29%20%3D%200%5C%5CDividing%20%5C%20both%20%5C%20sides%20%5C%20by%20%5C%202%5C%5Cx%5E2%2B3x-10%20%3D%200%5C%5CUsing%20%5C%20mid%5C%20term%20%5C%20break%20%5C%20formula%5C%5Cx%5E2%2B5x-2x-10%20%3D%200%5C%5Cx%28x%2B5%29-2%28x%2B5%29%3D0%5C%5CTaking%20%5C%20%28x%2B5%29%20%5C%20common%5C%5C%28x%2B5%29%28x-2%29%20%3D%200)
Either,
x+5 = 0 <u><em> OR </em></u> x-2 = 0
x = -5 <u><em> OR </em></u> x = 2
So, the x-intercepts are -5 and 2