Answer:
-6 - square root 31, -6 + square root 31
Given:
The equations are
To find:
Which function is changing more quickly.
Solution:
The slope intercept form of a line is
Where m is slope and b is y-intercept.
On comparing with the slope intercept form, we get
On comparing with the slope intercept form, we get
Since, , it means the absolute rate of change of second function is greater than the first function.
Therefore, the second function is changing more quickly.
Answer:
(b) 1
Step-by-step explanation:
To differentiate we will need the product rule:
.
We have , so the following equation is true by the transitive property:
By subtraction property we have:
Since , then we can divide both sides by :
This implies is constant.
So we have that where is a real number.
Since and , then by transitive property .
So .
Checking:
So the following conditions were met.
Answer:
20 cm
Step-by-step explanation:
A prism's volume is found using the formula A = B*h where B is the are of the base. Here the volume v = 250 and the B = 12.5. Substitute the values and solve for h.
250 = 12.5*h
250/12.5 = h
20 = h
Answer:
4a^2-19ab-5b^2
Step-by-step explanation:
What you do is the FOIL process.
F=First. The first thing that you do is times 4a and a together to get 4a^2.
O=Outer. You multiply the outer numbers 4a and -5b together to get -20ab.
I=Inner. You multiply the inner numbers b and a together to get ab.
L=Last. You multiply the last numbers b and -5b together to get -5b^2.
Put it all together to get 4a^2-19ab-5b^2 as your answer.