Answer:
-3 and 5
Step-by-step explanation:
f(n) = n² - 2n - 15
numbers whose product is -15 and sums up to -2 = -5 and 3
= n²- 5n+3n - 15
= n(n - 5) +3 (n - 5)
f(n) = (n + 3)( n - 5)
n + 3 = 0 n - 5 = 0
n = -3 n = 5
Roots = -3 and 5
Answer:
38 cm
Step-by-step explanation:
The perimeter of a rectangle is given by
P =2(l+w)
P =2( 2x+1 + x)
Combine like terms
P = 2(3x+1)
Distribute
P = 6x+2
Let x=6
P = 6*6+2
= 36+2
= 38 centimeters
Anwser:
The ratio of Saul's exact color is 3:1, so to make 16 gallons of paint he would mix 12 gallons of blue with 4 gallons of yellow. Hope this helps!
Given expression is
![\sqrt[4]{\frac{16x^{11}y^8}{81x^7y^6}}](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B%5Cfrac%7B16x%5E%7B11%7Dy%5E8%7D%7B81x%5E7y%5E6%7D%7D)
Radical is fourth root
first we simplify the terms inside the radical
So the expression becomes
![\sqrt[4]{\frac{16x^4y^2}{81}}](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B%5Cfrac%7B16x%5E4y%5E2%7D%7B81%7D%7D)
Now we take fourth root
![\sqrt[4]{16} = 2](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B16%7D%20%3D%202)
![\sqrt[4]{81} = 3](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B81%7D%20%3D%203)
![\sqrt[4]{x^4} = x](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7Bx%5E4%7D%20%3D%20x)
We cannot simplify fourth root (y^2)
After simplification , expression becomes
![\frac{2x\sqrt[4]{y^2}}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%5Csqrt%5B4%5D%7By%5E2%7D%7D%7B3%7D)
Answer is option B
