Answer:
8, 9, 10
Step-by-step explanation:
three positive consecutive integers
x, x + 1, x + 2
the product of the smallest and the largest is 26 more than six times the middle integer
x(x + 2) = 6(x + 1) + 26
Expand
x^2 + 2x = 6x + 6 + 26
Combine like terms
x^2 + 2x = 6x + 32
Subtract 6x + 32 from both sides
x^2 - 4x - 32 = 0
Factor
(Alternately use the quadratic formula or complete the sqaure)
(x - 8)(x + 4)
x = {-4, 8}
-4 is extraneous because the integers must be positive
x = 8
x + 1 = 9
x + 2 = 10
8, 9, 10
Answer:
245
Step-by-step explanation:
that is the answer 245
Answer:
c = 1
Step-by-step explanation:
The formula for the MVT is
where f'(c) is the derivative of the function: 8x - 3;
f(b) is the function evaluated at an x value of 2 (the second number in the interval): f(b) = 12;
f(a) is the function evaluated at an x value of 1 (the first number in the interval: f(a) = 2
Setting up:
So basically what we end up with is
8c - 3 = 5 and
8c = 8 so
c = 1
This function does in fact satisfy the requirements for the MVT: it is continuous on the interval and it is differentiable on the interval as polynomials by nature are continuous and differentiable on all values of x.
Answer:
258.75
Step-by-step explanation:
5x5=25
25x4.5=112.5
112.5x2.3=258.75