Answer:
The answer to your question is a) (f°g)(x) = 4x² + 2
b) (f + g)(x) = 4x² + x + 2
c) (f - g)(-3) = -37
Step-by-step explanation:
Data
f(x) = x + 2
g(x) = 4x²
a) Calculate (f°g)(x)
Just sum the function
(f°g)(x) = (4x²) + 2
-Simplification
(f°g)(x) = 4x² + 2
b) (f + g)(x)
(f + g)(x) = x + 2 + 4x²
-Simplification
(f + g)(x) = 4x² + x + 2
c) (f - g)(-3)
-Calculate (f - g)(x)
(f - g)(x) = x + 2 - 4x²
-Simplify
(f - g)(x) = -4x² + x + 2
-Evaluate in (-3)
(f - g)(-3) = -(4)(-3)² + (-3) + 2
-Simplification
(f - g)(-3) = -4(9) - 3 + 2
-Result
(f - g)(-3) = -36 - 3 + 2
(f - g)(-3) = -37
<span>y=axb^x.
when x>0 and not equal to 0</span>
Answer:
Step-by-step explanation:
if your question is
"Choose the student who correctly used substitution to determine if 19 was a solution to the equation. 6 + m = 24. 6 + 19 = 24. 24 = 24. 19 is a solution. 6 + m = 24. 6 + 19 = 24. 25 not-equals 24. 19 is not a solution. 6 + m = 24. 6 + 24 = 24. 30 not-equals 24. 19 is not a solution. 6 + m = 24. 6 + 19 = 24. 25 = 24. 19 is a solution."
then juan is correct
Answer:
575
Step-by-step explanation:
.
The total of tickets sold would be 100% or 1, so we have 1/6 of total tickets for kids and 1/2 of total of tickets for adults, for finding the part of tickets sold for seniors we calculate: 1/6 + 1/2 + x = 1 here x is the part of tickets for seniors.
Solve for x: x=1/3.
Now let total of tickets be "T", we know the amount of tickets sold for seniors (40) so we can say: 1/3*T = 40, solve for T and get T = 40*3 = 120 tickets sold.
Finally we can calculate the money collected from tickets sold multiplying the cost*the part of tickets sold for each group*120 and add all of them, this is:
$2*1/6*120 + $6*1/2*120 + $3*1/3*120 = $40 + $360 + $120 = $520
The money collected from ticket sales is: $520
