Answer: n=1.8
Step-by-step explanation:
6n+14=25
-14 on both sides
25-14=11
6n=11
divide 6 on both sides
n=1.83333..
Answer:
y = 1/3mx + b
Step-by-step explanation:
x = 3(y - b)/m
~Multiply m to both sides
mx = -3b + 3y
~Add 3b to both sides
mx + 3b = 3y
~Divide everything by 3
1/3mx + b = y
y = 1/3mx + b
Best of Luck!
Answer:
f(x) = (x + 6)² - 29
Step-by-step explanation:
Given
f(x) = x² + 12x + 7
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² + 12x
x² + 2(6)x + 36 - 36 + 7
= (x + 6)² - 29, thus
f(x) = (x + 6)² - 29
Answer:
242 ft^2
Step-by-step explanation:
15 x 14 + 4 x 8 = 242 ft^2
(break down the polygon into two rectangles)
X^4-33x^2+200=0 (factor that out)
<span>x^4-33x^2+200 -----> (x^2-8)(x^2-25)
</span>
new equation:
x^2-8=0 x^2-25=0 (solve for x for both equations)
x^2=8 x^2 =25
the x's are still squared so you have the square root both sides of the equations to get rid of the ^2:
x^2=8 x^2=25
![\sqrt{x ^{2} } = \sqrt{25}](https://tex.z-dn.net/?f=%20%5Csqrt%7Bx%20%5E%7B2%7D%20%7D%20%3D%20%5Csqrt%7B25%7D%20)
x=
![2 \sqrt{2}](https://tex.z-dn.net/?f=2%20%5Csqrt%7B2%7D%20)
x=5