Answer:
q = 15
Step-by-step explanation:
Given
f(x) = x² + px + q , then
f(3) = 3² + 3p + q = 6 , that is
9 + 3p + q = 6 ( subtract 9 from both sides )
3p + q = - 3 → (1)
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f'(x) = 2x + p , then
f'(3) = 2(3) + p = 0, that is
6 + p = 0 ( subtract 6 from both sides )
p = - 6
Substitute p = - 6 into (1)
3(- 6) + q = - 3
- 18 + q = - 3 ( add 18 to both sides )
q = 15
Answer:
Cos 74°= Sin 16°
Sin 20°= Cos 70°
Sin A°=Cos (90°- A°)
Step-by-step explanation:
This is because the three pairs are complementary i.e they add up to 90° and in trigonometric ratios, complementary ratios are equal.
Answer:
3x6, (3)(6), 6+6+6
Step-by-step explanation:
The are asking which equation matches the situation,...
3 tables, 6 chairs per table = 3 x 6chairs = 18 chairs
3x6
(3)(6)
6+6+6
What they want you to do is put that equation 3x6 in the "Represent the Situation" box and the rest in the "Do not represent Situation" one
Answer:
c
Step-by-step explanation:
The mean value theorem states that for a continuous and differentiable function on a interval there exists a number c from that interval, that

First we must determine the endpoints:


We find the derivative of the function, f'(c)

Therefore:

Simplify:


Area=Length×Width
Width=Area÷Length
So, the answer should be 25/54÷5/9=25/54×9/5=225/270=5/6 mills
Length=5/9 miles
Area=25/54 square miles
Width=5/6 miles