Answer:
P=16+2x
Step-by-step explanation:
The formula for finding the perimeter of a rectangle is P=2l+2w.
Plug the length of 8 and the width of x into the formula.
You'll get P=2(8)+2(x).
Multiply. 2•8=16 and 2•x=2x.
Your expression is P=16+2x.
I hope this helps.
Answer:
B. f(g(x)) = 7x + 27
Step-by-step explanation:
We have, f(x) = 7x+13 and g(x) = x+2.
So, the function f(g(x)) is obtained by substituting the function g(x) = x+2 in f(x) = 7x+13,
i.e. f(g(x)) = f(x+2)
i.e. f(g(x)) = 7 × (x+2) + 13
i.e. f(g(x)) = 7x + 14 + 13
i.e. f(g(x)) = 7x + 27
Thus, f(g(x)) = 7x + 27
Hence, option B is correct.
Answer:
1. a. 2,000
2. b. 10 years
3. a. 6.72937
4. d. 9%
Step-by-step explanation:
1. If 58% are boys, the percentage of girls is:
= 100 - 58
= 42%
That means 840 is 42% of the students in class. The students in class are therefore:
= 840 / 42%
= 2,000 students
2. If Birr 300 is invested at 6% per year, the amount in interest it earns per year is:
= 300 * 6%
= Birr 18
To get to Birr 180, it would take:
= 180/18
= 10 years
3. When a number is in percentage that means that it is a fraction with the denominator being 100. The number is decimal will therefore be it divided by 100:
= 672.937/100
= 6.72937
4. The investment accrued Birr 12 out of Birr 400 in 4 months. This means that it increased by:
= 12/400
= 3%
A year can be divided into three by 4 months. This means that the yearly rate is therefore:
= 3% * 3
= 9%
For this case we have the following polynomials:
(2n ^ 2-7n + 2)
(3n + 1)
Multiplying we have:
(2n ^ 2-7n + 2) * (3n + 1)
(6n ^ 3-21n ^ 2 + 6n) + (2n ^ 2-7n + 2)
Rewriting we have:
6n ^ 3 + n ^ 2 (-21 + 2) + n (6-7) + 2
6n ^ 3 - 19n ^ 2 - n + 2
Answer:
6n ^ 3 - 19n ^ 2 - n + 2
