Answer:
g(f(x)) = 2x - 2
Step-by-step explanation:
to evaluate g(f(x)) substitute x = f(x) into g(x)
g(f(x)) = g(2x + 1) = 2x + 1 - 3 = 2x - 2
Answer:
The distance around the inside is 199.44 m.
Step-by-step explanation:
Given that,
Length = 84.39 m
Width = 9.76 m
Suppose, all the way around and 73 m wide.
We know that,
Perimeter of half circle is
We need to calculate the inner radius of the circle
Using formula of radius
Put the value into the formula
We need to calculate the distance around the inside
Using formula of distance
Distance around the inside= two inner perimeter of the circle+two length of rectangle
Put the value into the formula
Hence, The distance around the inside is 199.44 m.
False, It was till Pack 5 it was going up 3 every pack but at 5 it went up 13 cookies.
Answer:
15
Step-by-step explanation:
10% of 12 =1.2
1.2*2= 2.4 (20%)
1.2/2= 0.6 (5%)
2.4+0.6= 3
12+3= $15
Answer: 10, 11, & 12
<u>Step-by-step explanation:</u>
Let x represent the age of the youngest child.
Their ages are consecutive so,
Youngest: x
Middle: x + 1
Oldest: x + 2
The age of the Youngest squared (x²) equals 8 times the Oldest [8(x + 2)] plus 4.
x² = 8(x + 2) + 4
x² = 8x + 16 + 4
x² = 8x + 20
x² - 8x - 20 = 0
(x - 10)(x + 2) = 0
x - 10 = 0 or x + 2 = 0
x = 10 or x = -2
Since age cannot be negative, x = -2 is not valid
So, the Youngest (x) is 10
the Middle (x + 1) is 11
and the Oldest (x + 2) is 12