Answer:
f(g(x))= 3x+9
Step-by-step explanation:
f(g(x)) means that you need to take the function g and plug that function into f for x. So g(x) which is x+4 will be plugged into f(x)=3x-3.
So what you get is 3(x+4)-3
If you distribute the positive three, you will get 3x+12-3 and your answer will be 3x+9.
f(g(x)) can also be written as (fog)(x)
fog just means f composite g or f of g of x
For g(f(x)), it will be the same concept as above. However, this time you will be plugging in f(x) into g(x) and I will let you do g(f(x))
Answer:
(a) $1428
(b) $228
(c) 11 months
Step-by-step explanation:
(a) Total installment price = 119 × 12 = $ 1428
(b) The carrying charges = amount paid - cash price
= 1428 - 1200 = $ 228
(c) No. of needed to save the money = 1200 ÷ 119 = 10.08 ≈ 11 months
Answer:
Median and Mode.
Step-by-step explanation:
The data could be represented in table form in ascending order as:
<u>Number of meals</u> <u> Frequency</u>
2 2
3 3
4 2
19 1`
On the basis of the data now we find the mean, median and mode:
Mean= average of the data
Mean=\dfrac{2\times 2+3\times 3+4\times 2+19\times 1}{2+3+2+1}=\dfrac{40}{8}=5
Hence mean is 5.
Median is the central tendency of the data
on looking at our data we see that the Median=3.
also the mode of the data is the entry corresponding to the highest entry.
Hence the highest frequency is 3 and the corresponding value is 3.
Hence, Mode=3
Hence, the most appropriate measure of center for this situation is :
Median and Mode.
Answer: It's not solvable.
Reason:
You need to ask for more information from your teacher, because x can be anything.
Answer:
117 degrees
Step-by-step explanation:
So we already know that one angle is 38 degrees, so we have that one. The angle, 101 is exterior, and we have to subtract 180 from that to get the interior angle. We get a difference of 79. Since the sum of a triangle's interior angles are 180, we have to add 38+79 to get 117. Then, we have to subtract it from 180 to get the value of the interior angle as 63 degrees. Because x is on the outside, we have to again subtract 63 from 180 to get the missing value of x as 117.
