Answer:
1) 25
2) 2
3) f(g(1)) = 42
Step-by-step explanation:
1) Given that f(x) = 4x^2 + 9
If x = -2
f(-2) = 4(-2)^2 + 9
f(-2) = 4(4) + 9
f(-2) = 16 + 9
f(-2) = 25
2) Given that f(x) = 4x - 6
y = 4x - 6
Replace y with x
x = 4y - 6
MAke y the subject of the forfmula
4y = x+ 6
y = (x+6)/4
SInce x = 2
f^(-1)(2) = (2+6)/4
f^(-1)(2) = 8/4 = 2
3) If f(x) = 6x and g(x) = x+6
f(g(x)) = f(x+6)
f(x+6) = 6(x+6)
Since x = 1
f(g(1)) = 6(1+6)
f(g(1)) = 6(7)
f(g(1)) = 42
<h3><u>
Answer:</u></h3>
The formula determine the distance from C to D is:

<h3><u>
Step-by-step explanation:</u></h3>
The formula that can be used to determine the distance from point C to point D is:

We know that distance between two points A(a,b) and B(c,d) is equal to the length of the line segment AB and is calculated by the help of the formula:

So, here we have:
(a,b)=(a,b) and (c,d)=(0,b)
Answer:
the first and second one
Step-by-step explanation:
the two last ones go over budget
1) 20×30=600 30×50=1500 total is 2100
2)50×30=1500 10×50= 500 total is 2000
3) 40×30=1200 40×50=2000 total is 3100>over budget.
4) 20×30=600 60×50=3000 total is 3600> way over budget.
Answer:
Step-by-step explanation:
Faster than, slope,greater than
Slope, gallons per minute
The answer is 105 because 180-75=105