If n = number of hours and the equation is 174 + 58n then the answer is 3 hours
174 = 58n
÷ 58
3 = n
Answer:
A.) gf(x) = 3x^2 + 12x + 9
B.) g'(x) = 2
Step-by-step explanation:
A.) The two given functions are:
f(x) = (x + 2)^2 and g(x) = 3(x - 1)
Open the bracket of the two functions
f(x) = (x + 2)^2
f(x) = x^2 + 2x + 2x + 4
f(x) = x^2 + 4x + 4
and
g(x) = 3(x - 1)
g(x) = 3x - 3
To find gf(x), substitute f(x) for x in g(x)
gf(x) = 3( x^2 + 4x + 4 ) - 3
gf(x) = 3x^2 + 12x + 12 - 3
gf(x) = 3x^2 + 12x + 9
Where
a = 3, b = 12, c = 9
B.) To find g '(12), you must first find the inverse function of g(x) that is g'(x)
To find g'(x), let g(x) be equal to y. Then, interchange y and x for each other and make y the subject of formula
Y = 3x + 3
X = 3y + 3
Make y the subject of formula
3y = x - 3
Y = x/3 - 3/3
Y = x/3 - 1
Therefore, g'(x) = x/3 - 1
For g'(12), substitute 12 for x in g' (x)
g'(x) = 12/4 - 1
g'(x) = 3 - 1
g'(x) = 2.
Answer:
See below
Step-by-step explanation:
The area is 15 square units.
-hope it helps
We know that DO and OX have equal side lengths. Since DX's length is 13, we divide 13 by 2 to get 6.5 as our answer for length OX. We also know that DO's length is also 6.5 because when we add 6.5 by 6.5, we get 13 as our total length of DX.
6.5 rounded to is 7.
So, length OX is 7 when rounded and that would be your answer.
Answer:
{d|d<-15}
Step-by-step explanation:
We want to to rewrite the inequality, d<-15 using, the braces or set notation.
This is given as:
{d|d<-15}
This is called the solution set notation.
This is called the truth set notation.
