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taurus [48]
3 years ago
7

Please answer asap!!!

Mathematics
1 answer:
Anettt [7]3 years ago
8 0

Answer:

x + a + 2

Step-by-step explanation:

g(a) = a² + 2a

g(x) - g(a) = x² + 2x - a² - 2a

= x² - a² + 2x - 2a

= (x - a)(x + a) + 2(x - a)

= (x - a)(x + a + 2)

[g(x) - g(a)] ÷ (x - a)

= x + a + 2

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The Volume () of gas vanes inversely to the pressure (P). The volume of gas is 200 cm ^ 3 under pressure of 32 kg/cm^ 2 What wil
WITCHER [35]

Answer:

0.025 Kg/ cm²

Step-by-step explanation:

if two variables vary inversely, there is a negative relationship between both variables. the increase in one variable leads to a decrease in the other variable

the equation that represents inverse proportion :

y = \frac{b}{x}

where b = constant of proportionality

to determine the answer in this question :

1. determine constant of proportionality

200 = k / 32

k = 6400

2. Determine the amount of pressure using the constant of proportionality

256, 000 = 6400 / pressure

pressure = 6400 / 256, 000 = 0.025

4 0
3 years ago
PLEASE ANSWER ASAP *picture attached*
SVETLANKA909090 [29]

Answer:

x^{2} -2x-8

Step-by-step explanation:

(f g)(x) is equal to f(x) times g(x).  So you just need to multiply both of the equations together.  Use the foil method to multiply (x+2)(x-4)

(fg)(x)=f(x)*g(x)\\\\(fg)(x)=(x+2)(x-4)\\\\(fg)(x)=x^{2} -4x+2x-8\\\\(fg)(x)=x^{2} -2x-8\\

I have attached an image to better explain the foil method

4 0
3 years ago
Which choice is the solution to the inequality below?
Georgia [21]
<h3>hello!</h3>

In order to solve this inequality, we should divide both sides by 9:-

\sf{9x < 72}

Why 9? Because x is multiplied by 9, and we need to isolate x in order to find its value.

\sf{x < 8}

Hence, that's the solution to the inequality.

<em>It also means that the numbers less than 8 will satisfy the given inequality (make the inequality true)</em>

(Option C is correct :) )

<h3>note:-</h3>

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

8 0
2 years ago
Read 2 more answers
Marge drive 290 miles in five hours. Three hours were on the interstate, then the remainder of the trip was on a road that cause
vivado [14]

Marge drove by 66 miles per hour on the interstate

Step-by-step explanation:

Marge drive 290 miles in five hours, her trip has two stages

  1. She drove 3 hours on the interstate
  2. The remainder of the trip was on a road that caused her to reduce her speed by 20 mph

We need to find how fast Marge drove on the interstate

Assume that she drove by speed x miles per hour on interstate

∵ Distance = speed × time

∵ Her speed on the interstate is x mph

∵ The time of interstate is 3 hours

∴ The distance of interstate = x × 3 = 3x miles

∵ The time of the total trip is 5 hours

∵ She spent 3 hours on the interstate

∴ The time of the remainder of the trip = 5 - 3 = 2 hours

∵ She reduced her speed 20 mph for the remainder of the trip

∴ Her speed on the remainder of the trip = x - 20 mph

∴ The remainder distance = (x - 20) × 2

∴ The remainder distance = 2x - 40 miles

∵ The total distance of the trip is 290 miles

- Equate the sum of the two distances above by 290

∴ 3x + 2x - 40 = 290

- Add the like terms in the left hand side

∴ 5x - 40 = 290

- Add 40 to both sides

∴ 5x = 330

- Divide both sides by 5

∴ x = 66

Marge drove by 66 miles per hour on the interstate

Learn more:

You can learn more about speed, time and distance in brainly.com/question/9998060

#LearnwithBrainly

7 0
3 years ago
Which of the following variable expressions represents the word phrase
soldier1979 [14.2K]
It’s c.p-2. Hope this helps
3 0
3 years ago
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