All categories

3 years ago

Given: f(x) = 2x + 5 and g(x) = x2 and h(x) = -2x h(g(f(x))) = ?

Mathematics

1 answer:

Alex3 years ago

8 0

Answer:

-2(2x +5)² = -8x² -40x -50

Step-by-step explanation:

Evaluate from the inside out, according to the order of operations.

h(g(f(x))) = h(g(2x +5)) = h((2x +5)²) = -2(2x +5)² = -2(4x² +20x +25)

= -8x² -40x -50

I personally prefer the factored form, but that is not considered "simplified."

You might be interested in

In the system of equations shown, x represents the number of pounds of strawberries, and y represents the number of pounds of gr

olga_2 [115]

Answer:

The difference between the number of pounds of strawberries and the number of pounds of grapes in the mix is 33.42 pounds.

Step-by-step explanation:

I think that the right question is:

In the system of equations shown, x represents the number of pounds of strawberries, and y represents the number of pounds of grapes in a fruit mix. x y = 15.82 and x - 1.90y = 72.5. what is the difference between the number of pounds of strawberries and the number of pounds of grapes in the mix

Given that:

x represents the number of pounds of strawberries, and y represents the number of pounds of grapes in a fruit mix.

The equation relating x and y is given by the equation:

$x+y=72.5...(1)\\x-1.9y=15.82...(2)$

Subtracting equation 2 from equation 1, we get:

$2.9y = 56.68\\y=\frac{56.68}{2.9} \\y=19.54pounds$

Putting y = 19.54 in equation 1 to get:

$x+y=72.50\\x+19.54=72.50\\x=72.50-19.54=52.96\\x=52.96pounds$

Therefore, the difference between the number of pounds of strawberries and the number of pounds of grapes in the mix is given by:

$x-y=52.96-19.54=33.42pounds$

The difference between the number of pounds of strawberries and the number of pounds of grapes in the mix is 33.42 pounds.

8 0

3 years ago

Read 2 more answers

There were 320 girls and 180 boys at a theater. What percent of children were girls

Mariana [72]

Answer: 64% were girls

Step-by-step explanation:

Add 320 with 180

320+180=500

take 500 and divide it by 320

320/500 = 64%

7 0

3 years ago

Read 2 more answers

Question image below below please answer

Nimfa-mama [501]

Answer:

slope equals -1/14

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

The first modern humans appeared on Earth about 200,000 years ago. Would it be possible to measure that number in terms of feet

Marina86 [1]

Hi um i know this answer is 79

8 0

3 years ago

Spike is not a terribly bright student. His chances of passing chemistry are 0.35; mathematics, 0.40; and both, 0.12. Are the ev

Feliz [49]

Answer:

The events "Spike passes chemistry" and "Spike passes mathematics" are not independent.

The probability that he fails both subjects = 0.37

Step-by-step explanation:

The probability of Spike passing Chemistry = P(Chemistry) = 0.35

The probability of Spike passing Mathematics = P(Mathematics) = 0.40

The probability of Spike passing both Chemistry and Mathematics = P(Chemistry,Mathematics) = 0.12

For the events "Spike passes chemistry" and "Spike passes mathematics" to be independent, P(Chemistry,Mathematics) should be equal to P(Chemistry) * P(Mathematics)

But P(Chemistry) * P(Mathematics)=0.35*0.40 =0.14

So the two events are not independent.

The Probability that he passes Chemistry or Mathematics is given by P(Chemistry) + P(Mathematics) - P(Chemistry,Mathematics)

= 0.35+0.40-0.12=0.63

So the probability that he fails both subjects is the complement of this, namely (1 - 0.63) = 0.37

8 0

3 years ago