Answer:
<h2>(g o f)(- 4) = 570</h2>
Step-by-step explanation:
f(x)=4x+5
g(x)=4x² - 5x - 3
To find (g o f)(-4) we must first find
(g o f )(x)
To find (g of f)(x) substitute f(x) into g(x)
That's
(g o f)(x) = 4(4x + 5)² - 5(4x - 5) - 3
= 4( 16x² + 40x + 25) - 20x + 25 - 3
= 64x² + 160x + 100 - 20x + 22
(g o f)(x) = 64x² + 140x + 122
To find (g o f)(- 4) substitute the value of x that's - 4 into (g o f)(x)
Thats
(g o f)(- 4) = 64(-4)² + 140(-4) + 122
= 64(16) - 576 + 122
= 1024 - 454
We have the final answer as
<h3>(g o f)(- 4) = 570</h3>
Hope this helps you
8÷18=84÷y
8y=18×84
8y=1512
y=189
Answer:
26 is the answer
Step-by-step explanation:
Answer:320 children and 262 adults swam in the public pool
Step-by-step explanation:
Let x represent the number of children that swam in the public pool.
Let y represent the number of adults that swam in the public pool.
582 people used the public swimming pool. This means that
x + y = 582
The daily prices are $1.50 for children and $2.00 for adults. The receipts for admission totaled to $1004.00. This means that
1.5x + 2y = 1004 - - - - - - - - - -1
Substituting x = 582 - y into equation 1, it becomes
1.5(582 - y) + 2y = 1004
873 - 1.5y + 2y = 1004
- 1.5y + 2y = 1004 - 873
0.5y = 131
y = 131/0.5 = 262
Substituting y = 262 into x = 582 - y, it becomes
x = 582 - 262 = 320
Answer:
37.68 Inches cubed (A)
Step-by-step explanation:
The formula for a cylinder is:
πr^2(h)
First, let's find the radius, which is:
4/2 = 2
Now, we can plug in the values:
3.14(2)^2(3)
Do exponents first:
3.14(4)(3)
Multiply left to right:
12.56(3)
Again:
37.68 Inches
So, the answer is:
37.68 Inches cubed (Or A)
Hope this helps!
