Answer:
![\sqrt[6]{z}](https://tex.z-dn.net/?f=%5Csqrt%5B6%5D%7Bz%7D)
Step-by-step explanation:
The denominator of the fractional exponent is the index of the root.
Answer:
a=-8 b=2
Step-by-step explanation:
x^2+6x-16
x^2+(8-2)x-16=0
x^2+8x-2x-16=0
X(X+8)-2(X+8)=0
(X+8)(x-2)=0
Compare with (X+a)(X+b)
Where we get a=-8 b=2
Answer:
The x-coordinate of the point changing at ¼cm/s
Step-by-step explanation:
Given
y = √(3 + x³)
Point (1,2)
Increment Rate = dy/dt = 3cm/s
To calculate how fast is the x-coordinate of the point changing at that instant?
First, we calculate dy/dx
if y = √(3 + x³)
dy/dx = 3x²/(2√(3 + x³))
At (x,y) = (1,2)
dy/dx = 3(1)²/(2√(3 + 1³))
dy/dx = 3/2√4
dy/dx = 3/(2*2)
dy/dx = ¾
Then we calculate dx/dt
dx/dt = dy/dt ÷ dy/dx
Where dy/dx = ¾ and dy/dt = 3
dx/dt = ¾ ÷ 3
dx/dt = ¾ * ⅓
dx/dt = ¼cm/s
The x-coordinate of the point changing at ¼cm/s
Answer:D
Step-by-step explanation:fsdgffdsfsdfsfdsf
Answer:
143
Step-by-step explanation:
450-28= 422
422÷2.95= 143.05
round down to 143
Written explanation:
If her first card had $450 but she spent $28 that means she only has $422 left. In order to find out how many barrettes she can buy you divide the amount she has left by 2.95 and get roughly 143.05 barrettes, but you can't go over the budget so at the max Erin can only get 143 barrettes
