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faust18 [17]
3 years ago
14

Graph the equation 3x + 4y = 12 using the x- and y- Intercepts

Mathematics
1 answer:
poizon [28]3 years ago
7 0

Answer:

(4, 0) is the x-intercept

(0, 3) is the y-intercept

Now, find those two points on the graph, line up a ruler between them and draw your line.  Bingo!  You have graphed the equation

Step-by-step explanation:

The x-intercept occurs when y = 0 and the y-intercept occurs when x = 0

So, substitute 0 in for y            and substitute 0 in for x

                     3x + 4(0) = 12                   3(0) +4y = 12

                         3x + 0 = 12                      0 + 4y = 12

                          3x = 12                                  4y = 12

                            x = 4                                      y = 3

(4, 0) is the x-intercept

(0, 3) is the y-intercept

Now, find those two points on the graph, line up a ruler between them and draw your line.  Bingo!  You have graphed the equation

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5 (2x – 1) –7 = 2 (x – 3)
Sladkaya [172]

Answer:

x−3=x−3

Step-by-step explanation:

Evaluate (2x−1)−7, then set it equal to 2.

Subtract 7 from −1 = 2x−8

Solve 2x−8=2.

Move all terms not containing x to the right side of the equation.

Add 8 to both sides of the equation=2x=2+8

Add 2 and 8=2x=10

Divide each term by 2 and simplify.

Divide each term in 2x=10 by 2=2x/2=10/2

Cancel the common factor of 2

Cancel the common factor=10/2

Divide x by 1=x=10/2

Divide 10 by 2=x=5

Remove parentheses=x−3

List all of the solutions.

5=

(2x−1)−7=2=x=5

x−3=x−3

7 0
3 years ago
Differentiate between a fixed and movable pulley.<br>​
Tamiku [17]

Answer:

Step-by-step explanation:

A fixed pulley consists of a wheel fixed to a shaft and is used in conjunction with a belt to transfer energy to another fixed pulley. A movable pulley consists of a shell, a movable wheel and a rope. Movable pulleys are also know as block and tackle.

8 0
3 years ago
Solve the system by the linear combination method show all work carefully
suter [353]
<span>A-2b=2
A-b=6

</span>
<span>A-2b=2
-2(A-b=6)
-2A+2b= -12

A-2b=2
-2A+2b = -12
-------------------
-A = -10
-A/-1 = -10/-1

A = 10

a-b=6
10 - b = 6
10-10-b = 6 -10
-b = -4
-b/-1 = 14/-1
b= 4

Check
a - 2b =2
10 - 2(4) =2
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2=2


</span>
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3 years ago
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3 years ago
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Ludmilka [50]

Answer:

A. -0.93

Step-by-step explanation:

It is a negative due to the scatter plot line decreasing as the precipitation increases, which cancels out C & D. Then, it is decreasing rapidly, which portrays it as closer to -1 than 0, meaning the answer is A.

8 0
3 years ago
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