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stiv31 [10]
3 years ago
12

Given g(x)=x^2 and h(x)= x-3 find (g ∘ h)(x)

Mathematics
1 answer:
DerKrebs [107]3 years ago
5 0

Answer:

<h2>(g ∘ h)(x) = x² - 6x + 9</h2>

Step-by-step explanation:

g(x) = x²

h(x) = x - 3

To find (g ∘ h)(x) substitute h(x) into g(x) that's for every x in g(x) replace it with h(x)

That's

(g ∘ h)(x) = ( x - 3)²

= x² - 3x - 3x + 9

We have the final answer as

<h3>(g ∘ h)(x) = x² - 6x + 9</h3>

Hope this helps you

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A fruit merchant sells packages of apples and bananas. Each package includes 3 apples and 4 bananas. If the merchant Sells 20 pa
diamong [38]

Answer:

80

Step-by-step explanation:

number of apples in each package = 3

number of bananas in each package = 4

total number of bananas in every 20 packages = 20 × 4 = 80

pls mark as brainliest. . .

6 0
3 years ago
A hovercraft takes off from a platform. Its height (in meters), xxx seconds after takeoff, is modeled by: h(x)=-2x^2+20x+48h(x)=
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the maximum height is the y-value of the vertex.

h(x) = -2x² + 20x + 48

      <em>  a=-2, b=20, c=48</em>

x = \frac{-b}{2a} = \frac{-20}{2(-2)} = \frac{-20}{-4} = 5

h(5) = -2(5)² + 20(5) + 48

      =  -50   +  100   + 48

      =          50         + 48

      =                98

Answer: 98 meters

8 0
3 years ago
50 points decreased by 26%
labwork [276]
26% of 50
26/100 * 50
13

50 - 13 = 37


7 0
3 years ago
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Cups of dog food is recommended for a 25 pound dog
bagirrra123 [75]

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100 cups of food is for a 25 pound dog

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3 years ago
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What are the solutions to
Svetllana [295]

Answer:

B and F

Step-by-step explanation:

Given

x² + 4x + 4 = 12 ( subtract 4 from both sides )

x² + 4x = 8

Using the method of completing the square to solve for x

add ( half the coefficient of the x- term )² to both sides

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x = ± \sqrt{12} - 2

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Hence

x = 2\sqrt{3} - 2 → B

x = - 2\sqrt{3} - 2 → F

4 0
3 years ago
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