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lubasha [3.4K]
3 years ago
15

Please help me!!!!!!!!

Mathematics
2 answers:
mart [117]3 years ago
8 0

Answer:

(2,1)

Step-by-step explanation:

So the first thing you want to do is substitute. You want to plug in the equation for y in for the y value above.

So you would do 3x+4(x-1)=10. As you can see we took the bottom equation and put it in for the top equation. We did this so we only have x s and no y s.

Now you would solve. You would distribute first. You would get 3x+4x-4=10. Now combine like terms. 3+4 is 7 so you would get 7x-4=10.The next thing you want to do is get the 7x by itself so move the 4.You would get 7x=14. Now divided both sides by 7 because you want to get the x by itself.

You would get x=2. Now for the y value just plug it in for an equation above. The easier one would be y=x-1. y=(2)-1 will equal 1. You write your final answer in (x,y) style. Your final answer will then be (2,1)

vfiekz [6]3 years ago
3 0

Answer:

<h2>A. (2, 1)</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}3x+4y=10&(1)\\y=x-1&(2)\end{array}\right\\\\\text{Substitute (2) to (1):}\\\\3x+4(x-1)=10\qquad\text{use the distributive property}\\3x+4x-4=10\qquad\text{add 4 to both sides}\\7x=14\qquad\text{divide both sides by 7}\\x=2\\\\\text{put the value of x to (2):}\\\\y=2-1\\y=1

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Nataly [62]

The correlation is a negative correlation, because weights and city MPG do not increase at the same time

<h3>The graph of the table of values</h3>

To graph of the table of values, we plot

  • The weights on the x-axis
  • The city MPG on the y-axis

See attachment for graph

<h3>Type of correlation</h3>

The correlation is a negative correlation, because weights and city MPG do not increase at the same time

<h3>The equation of the line of best fit</h3>

To do this, we make use of a graphing calculator.

From the graphing calculator, we have the following summary:

  • Sum of X = 463
  • Sum of Y = 388
  • Mean X = 28.9375
  • Mean Y = 24.25
  • Sum of squares (SSX) = 862.9375
  • Sum of products (SP) = -857.75

The line of best fit equation is

y = bx + a

Where

b = SP/SSX = -857.75/862.94 = -0.99

a = MY - bMX = 24.25 - (-0.99*28.94) = 53.0

So, we have:

y = -0.99x + 53

Hence, the equation of the line of best fit is y = -0.99x + 53

<h3>The weight for 30 MPG</h3>

This means that y = 30

So, we have:

-0.99x + 53 = 30

Subtract 53 from both sides

-0.99x = -23

Divide by -0.99

x =23

Hence, the predicted weight is 23 pounds

<h3>The city MPG for 1500 pounds</h3>

This means that x = 1500

So, we have:

y = -0.99 * 1500 + 53

Evaluate

y = -1432

Hence, the city MPG for 1500 pounds is -1432

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2 years ago
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3 years ago
A ball was thrown with an initial upward velocity of 80 ft./s from an initial height of 4 feet right in equation for H the heigh
ella [17]
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5 0
3 years ago
Math please help i am stuck explain
san4es73 [151]

9514 1404 393

Answer:

  9/16 inch

Step-by-step explanation:

A = 3/4 +1/16

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The difference between A and B on the ruler is 9/16 inch.

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