Answer:
y=3/10;X=-7/10
Step-by-step explanation:
put y=x+1 into where you find y.
solve for X which is -7/10
and put -7/10 into the second equation and solve for y. which is also =3/10
Hi there!
A.) Begin by verifying that both endpoints have the same y-value:
g(-1) = 2(-1)² - 4(-1) + 3
Simplify:
g(-1) = 2 + 4 + 3 = 9
g(2) = 2(2)² - 4(2) + 3 = 8 - 8 + 3 = 3
Since the endpoints are not the same, Rolle's theorem does NOT apply.
B.)
Begin by ensuring that the function is continuous.
The function is a polynomial, so it satisfies the conditions of the function being BOTH continuous and differentiable on the given interval (All x-values do as well in this instance). We can proceed to find the values that satisfy the MVT:
Begin by finding the average rate of change over the interval:
Now, Find the derivative of the function:
g(x) = 2x² - 4x + 3
Apply power rule:
g'(x) = 4x - 4
Find the x value in which the derivative equals the AROC:
4x - 4 = -2
Add 4 to both sides:
4x = 2
Divide both sides by 4:
x = 1/2
Answer: D<1
Step-by-step explanation:
Move all terms not containing D to the right side of the inequality.
Inequality Form:
D<1
Answer:
Wdym number?
Improper Fraction: (17/10)
Whole Fraction: 1 (7/10)
Otherwise... I'm not sure what you mean numbers...?