Important: Use the symbol "^" to denote exponentiation:
<span>x3 – 9x2 + 5x – 45 NO
</span><span>x^3 – 9x^2 + 5x – 45 YES
Look at the first 2 terms. They can be rewritten as x^2(x-9). Then look at the last 2 terms. They can be rewritten as 5(x-9). So, x-9 is the common factor here. Thus, the original expression becomes:
(x^2-5)(x-9).
Note that x^2-5 can be factored, so that the final 3 factors are:
(x-sqrt(5)), (x+sqrt(5)), (x-9).</span>
Answer:
b. False
Step-by-step explanation:
In a research study, when a researcher wants to find the impact of a new treatment, then the researcher randomly divides the the study participants into two groups. The groups are :
-- control group
-- treatment group
The control group is a group that is used to establish the cause-and-effect relationship by making the effect of an independent variable isolate. It receives no treatment or some standard treatment for the which the effect is already known.
The treatment group receives the treatment for which the effect the researcher is interested in.
Thus the averages of the four categorized groups are not required for estimating the difference.
Therefore, the answer is FALSE.
Given:
From 1:00 pm to 3:30 pm the room temperature had dropped from 82F to 72F.
To find:
The average rate of change of temperature in this room over the period.
Solution:
Time between 1:00 pm to 3:30 pm is 2 hr 30 minutes, i.e., 2.5 hours.
So, change in time is 2.5 hours.
Room temperature had dropped from 82F to 72F.
Change in temperature = 72 F - 82 F
= -10 F
We know that, average rate of change of temperature in this room over the period is
Therefore, the average rate of change of temperature in this room over the period is -4. It means the temperature is decreasing 4 F per hour.
9514 1404 393
Answer:
88 = 8m
Step-by-step explanation:
The product of 8 and m (which represents Mabel's score) is written <em>8m</em>. We are told that is equal to 88.
88 = 8m
Answer:
15
Step-by-step explanation:
Angle 2 is 2x+10
angle 4 is 4x+80
and from the figure we can understand that when we add these 2 equations
We get
6x+ 90= 180
6x = 180 - 90= 90
6x= 90
x = 90 ÷ 6 = 15
answer = 15