MATHEMATICS HIGH SCHOOL

For questions 1-7, use the following functions to answer the questions: f(x)x^2+5x g(x)=3x-4/2
For questions 1-7, use the following functions to answer the - 1

Answers

Answer 1
Answer:

Answer:

f(4) = (4)² + 5(4) = 36.

g(9) = [3(9) - 4]/2 = 23/2.

f(-3) = (-3)² + 5(-3) = -6.

g(-6) = [3(-6) - 4]/2 = -11.

Set f(x) = 14.

=> x² + 5x = 14

=> x² + 5x - 14 = 0

=> (x + 7)(x - 2) = 0

=> x = -7 or x = 2.

Set g(x) = -28.

=> (3x - 4)/2 = -28

=> 3x - 4 = -56

=> 3x = -52

=> x = -52/3.
Answer 2
Answer:

Answer:

36

11.5

6

-11

-2, 7

-17.333 / - 17⅓

Step-by-step explanation:

f(4) = 4² + 5(4) = 16+20 = 36

g(9) = 3(9)-4 ÷ 2 = 23÷2 = 11.5

f(-3) = (-3)²+5(-3) = 9 - 15 = 6

g(-6) = 3(-6)-4 ÷ 2 = - 22 ÷ 2 = - 11

f(x) = 14

x² - 5x = 14

x² - 5x - 14 = 0

(x+2) (x-7) = 0

x = - 2 or x = 7

g(x) = -28

(3x - 4)/(2) = - 28

3x - 4 = - 56

3x = - 52

x = - 52/3 = - 17 ⅓

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Cost for t hours:

Answers

Answer:

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Step-by-step explanation:

1. 10+3+3=16

Solve for c.|c- 2| >3
Write a compound inequality like 1 3. Use in tegers, proper
fractions, or improper fractions in simplest form.

Answers

Answer:

To solve the inequality |c-2| > 3, we need to consider two cases:

c-2 > 3

c-2 < -3

For the first case, we add 2 to both sides of the inequality to get:

c > 5

For the second case, we add 2 to both sides of the inequality and multiply by -1 to get:

-c > -1

c < 1

Therefore, the solution to the inequality |c-2| > 3 is:

c < 1 or c > 5

This is a compound inequality that can be written as:

1 < c or c > 5

I hope this helps!

Whats the prime factorization of 30

Answers

Answer:

2 x 3 x 5

Step-by-step explanation:

Answer:

2 x 3 x 5

Step-by-step explanation:

The density of water is 1000 kilograms per cubic meter and the density of ice is about 916 kilograms per cubic meter of 700 kilograms of water and 450 kilograms of ice is combined in a container what is the volume of the water

Answers

Final answer:

The volume of water can be calculated by dividing the mass of water by the density of water.

Explanation:

The question asks for the volume of water when 700 kilograms of water and 450 kilograms of ice are combined in a container. To find the volume of water, we need to subtract the volume of ice from the total volume. The density of water is 1000 kg/m³, so the volume of water can be calculated by dividing the mass of water (700 kg) by the density of water (1000 kg/m³).

Volume of water = Mass of water / Density of water

Volume of water = 700 kg / 1000 kg/m³

Volume of water = 0.7 m³

Learn more about density of water here:

brainly.com/question/14373997

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What solution of the inequality -1<4+5x<9

Answers

-1\ \textless \ 4+5x\ \textless \ 9 \n \n -1 - 4 \ \textless \ 5x \ \textless \ 9 - 4 \ / \ subtract \ 4 \ from \ equation \n \n -5 \ \textless \ 5x \ \textless \ 5 \ / \ simplify \n \n - (5)/(5) \ \textless \ x \ \textless \ 1 \ / \ divide \ equation \ by \ 5 \n \n -1 \ \textless \ x \ \textless \ 1 \ / \ simplify \n \n

Answer: -1 < x < 1

Lala eats three times as many pancakes as her little sister Carmen. If Carmen eats m pancakes, how many pancakes does Lala eat?

Answers

Answer:21

Step-by-step explanation:1-63=90

Answer:

21

Hope this helps! :)
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