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solong [7]
2 years ago
12

If h(x)=3x-5 and g(x) =2x^2-7x, find (g•h)(x)

Mathematics
2 answers:
Anastasy [175]2 years ago
8 0

Answer:

Correct answer:  (g · h) (x) = 18 x² - 81 x + 85

Step-by-step explanation:

Given:

h(x) = 3 x - 5

g(x) = 2 · x² - 7 x

This is a composition of functions:

(g · h)(x) = g(h(x)) = g(3 x - 5) = 2 · (3 x - 5)² - 7 (3 x - 5) = 2 · (9 x² - 30 x + 25)

(g · h)(x) = 2 · (9 x² - 30 x + 25) - 21 x + 35 = 18 x² - 60 x + 50 - 21 x + 35

(g · h)(x) = 18 x² - 81 x + 85

God is with you!!!

Murrr4er [49]2 years ago
4 0

Answer:

The answer is 25.67and then you multiply by8 and get you 205.36

Step-by-step explanation:

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Person A buys 10 granola bars and 6 cups of yogurt for 518 Person B buys 5 granola bars and 4 cups of yogurt for $9.50. Find the
Alja [10]

Person A buys 10 granola bars and 6 cups of yogurt for <em>$18</em>

Person B buys 5 granola bars and 4 cups of yogurt for <em>$9.50</em>

Let <u>x</u> represent the granola bars

Let <u>y</u> represent the yogurt

10x + 6y = 18 << ( Divide both sides by 2 )

The second equation is 5x + 4y = 9.50. Now subtract the two equations.

5x + 4y = 9.50

-5x - 3y = -9

         y = $.50

5x + 3(.50) = 9

5x + 1.50 = 9

5x = 7.5

  x = $1.50

I hope this answered your question  

Please remember to rate my answer and comment bellow if you have any questions

4 0
2 years ago
zoe and Hannah share tips in the ratio 3:7 last week zoe recived £24 how much did hannah recieve last week
VladimirAG [237]

Answer:

56

Step-by-step explanation:

3 0
2 years ago
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t takes Dariya 35 seconds to download 5 songs from the Internet. How can the number of seconds it would take Dariya to download
Vitek1552 [10]
She would be able to download 49 at this rate.
Because 5/35 =7/n which would then =245/5 which equals 49
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2 years ago
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Round 96.9617186007 to the nearest tenth.
Pavlova-9 [17]

if you're talking about the whole number, 100.96. if you're referring to decimal place values; 96.70.

underline the digit that you round to

circle the digit to the right

five or more goes up

four or less stays the same

everything behind becomes a zero.

6 0
2 years ago
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An animal park has lions, tigers and zebras. 20% of the animals are lions and half of the animals are zebras. If there are 120 a
RoseWind [281]

Answer:

36\ tigers

Step-by-step explanation:

Let

x ----> the number of lions

y ----> the number f tigers

z ----> the number of zebras

we know that

x+y+z=120 ----> equation A

Remember that

20\%=20/100=0.20

50\%=50/100=0.50

To find out the number of lions, multiply the total animals by the percentage of lions

x=0.20(120)=24\ lions

To find out the number of zebras, multiply the total animals by the percentage of zebras

z=0.50(120)=60\ zebras

Substitute the value of x and the value of z in equation A and solve for y

24+y+60=120

y+84=120

y=36\ tigers

6 0
2 years ago
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