MATHEMATICS HIGH SCHOOL

Solve the following system of equations by substitution and select the correct answer below:2x − 4y = 24
4x − 12y = 36


x = 18, y = 3

x = 18, y = −3

x = −18, y = 3

x = −18, y = −3

Answers

Answer 1
Answer:

Answer: x = 18, y = 3

Step-by-step explanation:

Given system of liner equation is :-

2x-4y=24.....(1)\n4x-12y=36..........(2)

From (1), we get

2x=24+4y\n\Rightarrow x=12+2y.........(3)

Substitute the value of x in equation (2), we get

4(12+2y)-12y=36\n\Rightarrow\ 48+8y-12y=36\n\Rightarrow-4y=36-48\n\Rightarrow\ -4y=-12\n\Rightarrow\ y=3

Now, substitute the value of y in (3), we get

x=12+2(3)=12+6=18

x = 18, y = 3
Answer 2
Answer: x=(24+4y)/2

4(24+4y)/2-12y=36
48+8y-12y=36
4y=12
y=3

2x-4x3=24
2x=36
x=18

Correct answer: A

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Answers

Hello,

all you have to do is to calculate the distance betheen the 2 points (pythagorean theorem)

d²=(3-8)²+(1-1)²=25+0=25

d=5

Please help asap
graphing slope

Answers

So to find the slope, its "rise over run" aka (y_(2)-y_1)/(x_2-x_1)

To find it, take two points on the graph, in this case I'll use (0,1) and (5,4). Just place them into the equation and solve.

(4-1)/(5-0) \n \n (3)/(5)

In short, 3/5 is the slope.

the slope would be 3/5

Which of the binomial below is a factor of this trinomial? 2x^3-18x^2+40xa) 2x+5
b)x+5
c)x-5
d)2x-5

Answers

2x^3 - 18x^2 + 40x

2x(x^2 - 9x + 20)

2x(x - 5)(x - 4)

Answer is c) x - 5
2x^3 - 18x^2 + 40 \n \n ( 2x:common);\n => 2x(x^2 - 9x + 20) \n \n (factoring:x^2-9x+20)\n\n =>(2x)(x-5)(x-4) \n \n => Answer:(C):(x-5)

I’ll mark you brainliest!!!!! Which point is a solution to the inequality represented by this graph?

Answers

Answer:

A is a solution because it is in the shaded area.

Step-by-step explanation:

A publisher claims that the average salary paid at its company is $37,500 but it could differ as much as $4,500. Write and solve an absolute value inequality to determine the range of salaries at this company.|x − 37500| ≤ 4500; The salaries range from $33,000 to $42,000

|x − 37,500| ≤ 4500; The salaries are less than $33,000 or greater than $42,000.

|x − 37500| ≥ 4500; The salaries range from $33,000 to $42,000

|x − 37,500| ≥ 4500; The salaries are less than $33,000 or greater than $42,000.

Answers

Given:
Average salary = 37,500
differ as much as 4,500

37,500 + 4,500 = 42,000
37,500 - 4,500 = 33,000

|x − 37500| ≤ 4500; The salaries range from $33,000 to $42,000

Answer:

|x − 37500| ≤ 4500; The salaries range from $33,000 to $42,000

Step-by-step explanation:

What is 8.2p-33.4=1.7-3.5p

Answers

8.2p-33.4=1.7-3.5p 

8.2p=1.7-3.5p+33.4         Add \ 33.4 \ to \ both \ sides

8.2p=-3.5p+35.1 

8.2p+3.5p=35.1                   Add \ 3.5p \ to \ both \ sides

11.7p=35.1 

(11.7p)/(11.7) = (35.1)/(11.7p)             Divide \ both \ sides \ by \ 11.7

p=3       Solution
p=3
First you add 33.4 to both sides. Then add 3.5p to both sides. Then divide 35.1 by 11.7 and you get 3. 
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