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ruslelena [56]
3 years ago
10

If f(x)=4x-1 and g(x)=x^2+7 ,find G(f(x))

Mathematics
1 answer:
frutty [35]3 years ago
5 0

Answer:

g(f(x))=(4x-1)^2+7=16\,x^2-8x+8

Step-by-step explanation:

Given:

f(x)=4x-1\\and \\g(x)=x^2+7

Then the composition of functions:

g(f(x))=g(4x-1)=(4x-1)^2+7= (16\,x^2-8x+1)+7=16\,x^2-8x+8

where we have written the final functional expression in its standard form.

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Help this is due tomorrow!!!
r-ruslan [8.4K]

Answer:

V=4/3*3.14*r^3

V=4/3*3.14*3^3

V=113.1

Volume of Himiphere= Volume of sphere/2

113.1/2

V=56.6

Step-by-step explanation:

The answer is 56.6

4 0
2 years ago
Read 2 more answers
Which of the following represents the equation of a line that is parallel to 2y-x=16 and passes through the
Sliva [168]
The correct equation would be Y=1/2x+4 :)

This is true because both equations have the same slope therefore they are parallel and the equation above also includes point (-6,1).
5 0
2 years ago
(NO LINKS I WILL REPORT!)
nevsk [136]

Answer:

b. $35.61

Step-by-step explanation:

First, convert the 25% to an actual number that can be used in a calculation. For percents,this is always done by simply dividing the percent (in this case 25%) by 100%.So, the conversational term "25%" becomes 25% / 100% = 0.25 in terms of a real mathematical number.

Second, you need to find out what 25% of your $28.49 meal cost is.This is always done by multiplying 0.25 by $28.49, or

<h2>                       0.25 x $28.49=$7.12. </h2>

So, the amount of tip you are going to leave is $7.12.

This makes the total cost of your meal (to write on your charge slip or other payment)

<h2>                      $28.49 + $7.12 = $35.61. </h2>

4 0
3 years ago
TEST TOMORROW 33. Mid Town Sports Apparel has found that it needs to sell golf hats at $2.75 each to be competitive. It costs $2
Mars2501 [29]

a. The total cost is the sum of variable and fixed cost. So the average cost of each hat is simply total cost divided by x:

ave cost = (2.12 x + 3000) / x

 

b. Total cost should be equal to Income:

2.12 x + 3000 = 2.75 x

Solve for x:

x = 4762 units

 

c. Profit is income minus total cost:

Profit = 2.75 x – (2.12 x + 3000)

1000 = 2.75x – 2.12 x – 3000

Solving for x:

<span>x = 6439 hats</span>

4 0
3 years ago
Saline solution A is 10% strength and saline solution B is 5% strength. I have an order for 6 litres of an 8% saline solution. T
kupik [55]
Let x = volume of saline solution A,
y = volume of saline solution B.

We're going to set up two equations. 
Firstly, x + y = 6. That gives us y = 6 – x     (1)

Second, 0.1x + 0.05y = 0.08•6, 
or 0.1x + 0.05y = 0.48               (2)

Substitute (1) into (2):
0.1x + 0.05(6 – x) = 0.48
0.1x + 0.3 – 0.05x = 0.48
0.05x + 0.3 = 0.48

Subtract 0.3 from both sides:
0.05x = 0.18
x = 3.6
Then y = 6 – 3.6 = 2.4

So we have to use 3.6 litres of solution A and 2.4 litres of solution B.


7 0
3 years ago
Read 2 more answers
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