Answer:
x=7
Step-by-step explanation:
−9(x + 6) + 60 = 13 − 10x
Distribute
−9x -54 + 60 = 13 − 10x
Combine like terms
-9x +6 = 13 -10x
Add 10x to each side
-9x+10x +6 = 13-10x+10x
x +6 = 13
Subtract 6 from each side
x+6-6=13-6
x = 7
Answer:
To satisfy the hypotheses of the Mean Value Theorem a function must be continuous in the closed interval and differentiable in the open interval.
Step-by-step explanation:
As f(x)=2x3−3x+1 is a polynomial, it is continuous and has continuous derivatives of all orders for all real x, so it certainly satisfies the hypotheses of the theorem.
To find the value of c, calculate the derivative of f(x) and state the equality of the Mean Value Theorem:
dfdx=4x−3
f(b)−f(a)b−a=f'(c)
f(x)x=0=1
f(x)x=2=3
Hence:
3−12=4c−3
and c=1.
Answer:
9+x<12
Step-by-step explanation:
add 9 to an unknown number.
9+x
use the < less than symbol (instead of an equal sign) and write 12.
Answer: 24 model airplanes can be made in 2 hours.
Step-by-step explanation:
Answer:
-1, 0, 0.1, 1
Step-by-step explanation:
-1 is a negative value, which makes it before 0
0.1 is less than 1 but more than 0
