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mart [117]
2 years ago
13

Solve this system. Write your answer as an ordered pair.

Mathematics
1 answer:
yarga [219]2 years ago
6 0
Y = -3 + 5x ----------------- (1)
3x - 8y = 24 --------------- (2)     

Solve by substitution. We will substitute equation (1) into equation (2):

------------------------------------------------------------
Substitute equation (1) into equation (2) :
------------------------------------------------------------
3x - 8y = 24                 // Equation (2)
3x - 8(-3 + 5x) = 24      // Sub x = -3 + 5x
3x + 24 - 40x = 24        // Apply distributive property
-37x + 24 = 24              // Combine like terms      
-37x = 0                        // Take away 24 from both sides
x = 0                             // Divide by -37 on both sides

Sub x = 0 into equation (1) :
y = - 3 + 5(0)                   // Sub x = 0
y = -3                               // Combine like terms

-----------------------------------------------
Answer : The ordered pair is (0, -3).
-----------------------------------------------      
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Graph by using the slope and the y intercept.
Mashutka [201]

1. a) equation of the line :

  • y =  \dfrac{2}{5}x   - 7

y - intercept = -7

so, it will pass through point (0, -7)

and if we plug the value of x as 5, we get

  • y =  (\dfrac{2}{5}  \times 5) - 7

  • y = 2 - 7

  • =  - 5

so, it will pass through point (5, -5) too

now, just plot the points (0 , -7) and (5 , -5) and join them.

2. b) equation of line is :

  • y =  - 3x + 5

here, y - intercept = 5

so the line passes through point (0 , 5)

now, Plugging the value of x = 1 we get :

  • y =(  - 3 \times 1) + 5

  • y =  - 3 + 5

  • y = 2

so, the given line passes through point (1 , 2)

plotting the points, we can get our required line.

6 0
2 years ago
The company is building a scale model of the theater's main show tank for an investor's presentation. Each dimension will be mad
Ede4ka [16]

Answer:

This means the mock-up tank has a volume 216 times smaller than the initial tank.

Step-by-step explanation:

The ratio between volume is given by

\frac{V_2}{V_1}=\frac{(1/6)L^{3} }{L^{3}}  =\frac{1}{216}

This means the mock-up tank has a volume 216 times smaller than the initial tank.

5 0
3 years ago
Read 2 more answers
The height of an ostrich is 20 inches more than 4 times the height of a kiwi. If an ostrich is 108 inches tall, how tall is a ki
pishuonlain [190]
Let the height of the kiwi be x, then the height of the ostrich is 20 + 4x.
20 + 4x = 108
4x = 108 - 20 = 88
x = 88/4 = 22
The height of the kiwi is 22 inches.
6 0
3 years ago
Choose the inverse of y = x2 – 10x.
ella [17]
The answer is (5,-25)
6 0
3 years ago
Read 2 more answers
Need the answer to this
Olegator [25]

Answer:

4.5 per package

Step-by-step explanation:

Though they give us 4 different pairs of values on the table, we only need 1 pair to solve this question. For simplicity, lets chose the pair of whole numbers:

54 : 12

This is the ration of servings to packages, or the servings per package.

To get our answer, we must find how many servings per 1 package, so we need to divide by 12:

\frac{54}{12} : \frac{12}{12}

   =

4.5 : 1

This means that there are 4.5 servings per 1 package!

Hope this helps!

4 0
2 years ago
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