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docker41 [41]
3 years ago
15

If h(x)=x^2-5x, g(x)=2x, f(x)=3x-2, what is h(f(g(x)))

Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
6 0

Step-by-step explanation:

start from f(g(x))

f(g(x))= 3(g(x)) -2

f(g(x))= 6x -2

h(f(g(x)))=(f(g(x)))² -5(f(g(x)))

h(f(g(x)))=(6x-2)² -5(6x-2)

h(f(g(x)))=36x²-24x+4-(30x-10)

h(f(g(x)))=36x²-24x+4-30x+10

h(f(g(x)))=36x²-54x+14

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For ΔABC, ∠A = 2x - 2, ∠B = 2x + 2, and ∠C = 5x. If ΔABC undergoes a dilation by a scale factor of 1 2 to create ΔA'B'C' with ∠A
Zolol [24]
<h3>Answer:</h3>

A) ∠A = ∠A' = 38° and ∠B = ∠B' = 42°

<h3>Explanation:</h3>

The sum of angles in ∆ABC is 180°, so ...

... (2x -2) + (2x +2) + (5x) = 180

... 9x = 180

... x = 20

and the angles of ∆ABC are ∠A = 38°, ∠B = 42°, ∠C = 100°.

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The sum of angles of ∆A'B'C' is 180°, so ...

... (58 -x) +(3x -18) +(120 -x) = 180

... x +160 = 180

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and ∠A' = 38°, ∠B' = 42°, ∠C' = 100°.

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The values of angle measures of ∆ABC match those of ∆A'B'C', so we can conclude ...

... A) ∠A = ∠A' = 38° and ∠B = ∠B' = 42°

8 0
3 years ago
Explain the difference between solving an equation with one radical and solving an equation with more than one radical.
Alex_Xolod [135]

Answer:

A radical equation is an equation in which a variable is under a radical. To solve a radical equation: Isolate the radical expression involving the variable. If more than one radical expression involves the variable, then isolate one of them.

Step-by-step explanation:

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8 0
3 years ago
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Solve for x: 6x – 8y = 12
Tcecarenko [31]

Hi there!


Since we have 2 variables in the given equation, and you only want to solve for one, the other will end up in your answer.


6x + 8y = 12


Step 1) Add 8y to both sides.


6x - 8y + 8y = 12 + 8y 6x = 8y + 12


Step 2) Divide both sides by 6.


\frac{6x}{6} =  \frac{8y + 12}{6}


x =  \frac{4}{3} y + 2


Final Answer -


x =  \frac{4}{3} y + 2


Hope this helps! :D


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MAVERICK [17]

Answer:

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Step-by-step explanation:

To calculate the tip, you would find 20% of 55.22 by doing this:

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Hope that helps :>

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Answer:

True

Step-by-step explanation:

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To determine the answer, substitute 2 for n in the function and solve. So:

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