Answer:
-3
Step-by-step explanation:
The average rate of change from point (x1, y1) to point (x2, y2) is given by ...
m = (y2 -y1)/(x2 -x1)
For the given points, this is ...
m = (2 -14)/(6 -2) = -12/4 = -3
The average rate of change on the interval is -3.
The density is 4, and the mass is 12.
So we just plug this into the equation
d = m/v
4 = 12/v
We know that the volume must be 3 to make the equation true, because 12/4 = 3.
Therefore, the answer is F. 3 cm ^3
Answer:
Your final answer is either
x≥-2 if your initial inequality was
6x+2≤2(5-x)
OR
x≤-2
if your initial inequality was
6x+2≥2(x-2)
Step-by-step explanation:
As shown you have an equality, not an inequality.
-6x+2=2(5-x) distribute through parenthesis
-6x+2=2(5)+2(-x)
-6x+2=10-2x add 2x to both sides
2x-6x+2=10-2x+2x
-4x+2=10 subtract 2 from both sides
-4x+2-2=10-2
-4x=8 divide both sides by -4
-4x/(-4) = 8/(-4)
x = -2
With the ≥ or ≤ sign you would solve the exact same way
except for the point where when dividing both sides by
-4 requires you to reverse the inequality.
Your final answer is either
x≥-2 if your initial inequality was
6x+2≤2(5-x)
OR
x≤-2
if your initial inequality was
6x+2≥2(x-2)
Answer:
CB=18
And the measure of angle BDA is 21 degrees
Step-by-step explanation:
Answer:
11 yrs
Step-by-step explanation:
Mean = sum of ages/number of ages
Let the age of the seventh girl be A
Given the addition of the age of the seventh girl will make the mean of the ages be 13,
So,
13 = 17+8+12+15+15+13+A/7
Add up the ages
13 = 80 + A /7
Cross multiply
80 + A = 13 x 7
80 + A = 91
Subtract 80 from both sides to isolate A
80 - 80 + A = 91 - 80
A = 11
The age of the seventh girl is 11
