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docker41 [41]
2 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]2 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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Wewaii [24]
Can the answer is 6 xy2
3 0
3 years ago
Read 2 more answers
Twice a number, added to seven, is the same
eduard

Answer:

Your number is -10

Hope this helps :)

Step-by-step explanation:

Let x be the number

 

Twice a number is 2x

Added to 7 means + 7 so 2x + 7

Is means =

2x+7=

 

At this point I have to assume you mean

"is the same as three subtracted from THE SAME number"

Otherwise, rather than a number, we end up with the

equation of a line....

 

2x + 7 = x - 3   subtract x from both sides

x + 7 = -3        subtract 7 from both sides

x = -10

 

Your number is -10

 

Check:  2x+7 = x-3

           2(-10) + 7 = -10-3

           -20+7 = -13

            -13 = -13

            The answer fits the parameters of the problem.

6 0
2 years ago
The mayor of the city of San Diego wants to increase taxes to invest in a modern transit system. She hires a polling agency to s
sasho [114]

Answer:

Step-by-step explanation:

Part A: What is the population in this survey?

The population in this context is the total number of registered voters in the whole city of San Diego.

Part B: What is the population parameter

The population parameter in this survey is the maximum percentage increase in municipal taxes that they would approve.

Part C: What is the sample in this survey?

The sample in this survey is the randomly selected 650 registered voters in the city.

4 0
3 years ago
In rhombus MOTH, angle HTM=(5x+6) degrees. If angle HMO=(12x-6)degrees, what is angle HMO?
forsale [732]

Answer:

m∠HMO=102°

Step-by-step explanation:

we know that

In a Rhombus the diagonals bisect the angles and opposite angles are equal

In this problem

Angles HMO and HTO are opposite angles

m∠HMO=m∠HTO

m∠HTM=(1/2)m∠HMO ----> because the diagonals bisect the angles and opposite angles are congruent

substitute the values

(5x+6)\°=(1/2)(12x-6)\°

solve for x

10x+12=12x-6\\12x-10x=12+6\\2x=18\\x=9

<em>Find the measure of angle HMO</em>

m∠HMO=(12x-6)°

substitute the value of x

m∠HMO=(12(9)-6)=102°

see the attached figure to better understand the problem

5 0
3 years ago
Domain of f(x, y) =<br> 2<br> 2- y + x
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