F(x)=2x
G(x)=x+5
Now
F(g(x))=2(x+5)
=2x+10
G(f(x))=2x+5
Answer:
C. 3.33 hours
Step-by-step explanation:
Use the algebra work equation:
= 
+ 
, where tb is the time to work together, t1 is the time it takes one person, and t2 is the time it takes the other person
Plug in the values we know:
= 
+ 
= 
+ 
= 
20 = 6tb
3.33 = tb
So, it would take them 3.33 hours when working together.
Answer:
D. All of the above
Step-by-step explanation:
Samples may be classified as:
Random: Basically, put all the options into a hat and drawn some of them.
Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.
Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.
Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.
In this problem:
Two random samples are selected and combined. The combination is a random sample. So A. is correct.
They are not balanced. More male professors than female are chosen. So B. is correct.
The teachers are divided into groups(male and female). And some members of each group are selected. So C. is correct.
So the correct answer is:
D. All of the above
Answer:
x = 20
Step-by-step explanation:
The consecutive angles in a parallelogram are supplementary, sum to 180°
5x + 4x = 180
9x = 180 ( divide both sides by 9 )
x = 20
So our equation to find this can be represented by 7x + 10 = 45.
(x representing miles run)
Just solve for x!
Subtract the 10 from both sides, you've got
7x = 35
And now to isolate the x, we divide both sides by 7.
Now we're left with just
x = 5!
We can check this by substituting 5 as x in our equation.
7x x 5 + 10 = 45
45 = 45
It's right!
So the runner ran 5 miles total.
Hope this helps!
If I skimmed over this too much, let me know and I'll try to explain the best that I can.
