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)
---------------------------------------
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:
h = -t+20
After 8 hours the candle will be 12 inches
Step-by-step explanation:
We have 2 points (time, inches)
(3,17) and (5,15)
We can find the slope
m = (y2-y1)/(x2-x1)
= (15-17)/(5-3)
= -2/2
= -1
We can use point slope form
y-y1 = m(x-x1)
Replace y with h and x with t
h-17 = -1 (t-3)
Distribute
h-17 = -t+3
Add 17 to each side
h-17+17 = -t+3+17
h = -t+20
Known :
h = 10
d = 3
Asked :
V = ...?
Answer :
V = ¼πd²h
= ¼ × 3.14 × 3² × 10
= ¼ × 3.14 × 9 × 10
= <u>7</u><u>0</u><u>.</u><u>6</u><u>5</u>
<em>Hope </em><em>it </em><em>helpful </em><em>and </em><em>useful </em><em>:</em><em>)</em>
Answer:
Step-by-step explanation:
we know that
The equation of the line in slope intercept form is equal to
Step 1
Find the slope m
Let
Step 2
Find the value of b
we have
substitute in the equation of the line
The equation in slope intercept form is equal to
Answer:
A) Ms. Hynnes'
B) Mr. Charles'
Step-by-step explanation:
I start by finding the LCM (lowest common multiple) of 5, 9, and 7, which is 315. Then, to calculate the top number, I divide 315 by the denominator to determine how many times I need to multiply the numerator. For 5, it's 63, giving us a numerator of 126. For 9, it's 35, giving us a numerator of 140. For 7, it's 45, giving us a numerator of 135. I then compare the numbers to find the answer.
