We are told that f(x) = x + 2. We want to find
.
Squaring f(x) on one side means we square x + 2 on the other.
So,
f(x) = x + 2
(f(x))² = (x + 2)²
= (x + 2)(x + 2)
We can use FOIL to square x + 2. The first terms multiply to x², the outside terms to 2x, the inside terms to 2x and the last terms to 4.
= x² + 2x + 2x + 4
= x² + 4x + 4
So [f(x)]² = x² + 4x + 4
19 is the answer since 2 to the 2nd power is 4 5×4=20 -1 to the 2nd power is -1
20-1=19
Answer:
C 5/13
Step-by-step explanation:
A fraction is written in reduced form if there are no common factors in the numerator and denominator. Since you know your multiplication tables, you can easily identify the common factors:
A 20 = 5·4, so 4 is a common factor 4/(4·5) = 1/5
B 6 = 2·3, 9 = 3·3, so 3 is a common factor (2·3)/(3·3) = 2/3
C 13 is not a multiple of the prime number 5, so there are no common factors. 5/13 is a reduced fraction
D 14 = 2·7, 21 = 3·7, so 7 is a common factor (2·7)/(3·7) = 2/3
Well first following pemdas we do 3 to the 2nd power so 3*3 = 9
then we do 9 * 2 = 18
then our problem looks like this 1 + 18 - 5
so 1 +18 = 19
then 19 - 5 = 14 so our answer is 14
6/40 simplified is 3/20
3/20=15/100
100-15=85
The answer is 85%