Answer:
(-∞, -2) and (2, ∞)
Step-by-step explanation:
ƒ(x) = x³ -12x + 10
f'(x) = 3x² - 12
Set 3x² - 12 = 0
x² - 4 = 0
x² = 4
x = ±2
The points x = -2 and x = + 2 divide the number line into three intervals:
(-∞, -2), (-2, +2), and (+2, ∞).
a. Interval (-∞, -2)
x < -2, so f'(x) > 0 when -∞ < x < -2
The function is increasing in (-∞, -2).
b. Interval (-2, 2)
|x| < 2, so f'(x) <0
The function is decreasing in (-2, 2).
c. Interval (2, ∞)
x > 2, so f'(x) > 0 when 2 < x < ∞
The function is increasing in (2, ∞).
Thus, the function is increasing in the intervals (-∞, -2) and (2, ∞).
Answer:
Each boy will get <u>25</u> marbles.
Step-by-step explanation:
Given:
William has 3 jars of marbles to share equally with his brother the first jar holds 12 marbles the second jar holds 21 marbles the last jar holds 17 marbles.
Now, to write an expression using parentheses to find number of marbles each boy get.
Let the number of marbles each boy get be 
Total number of boys = 2.
Number of marbles first jar holds = 12.
Second jar holds = 21.
And third jar holds = 17.
As given, William shares marbles equally with his brother.
Now, we write the expression to find the number of marbles each boy get:
Therefore, each boy will get 25 marbles.
Answer:
The answer is
<h2>10 units</h2>
Step-by-step explanation:
The distance between two points can be found by using the formula
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-2,1) and (-8,9)
The distance between them is
We have the final answer as
<h3>10 units</h3>
Hope this helps you
Step-by-step explanation:
density =mass/Volume
but Si unit of volume is m3
convert 980000cm3 into m3 by dividing with 1000000= 980000/1000000= 0.098 m3
D= M/V = 65.8/0.098= 671.43 kg/m3
2 - z/3 = 12
Subtract 2 to both sides:
-z/3 = 10
Multiply 3 to both sides:
-z = 30
Multiply -1 to both sides:
z = -30
