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NISA [10]
2 years ago
7

Andrew claims the initial value and y - intercept are the same thing on a graph. Is he correct?

Mathematics
1 answer:
Agata [3.3K]2 years ago
6 0

Answer:

We conclude that the initial value and y-intercept are the same thing on a graph.

Please check the attached graph of the equation y = 2x+1.

Step-by-step explanation:

We know that the initial value on a graph is basically the out-put value y of the point where the line meets or crosses the y-axis.

In other words, the initial value is the y-value or output of the point at x = 0

For example,

Let the equation

y = 2x+1

substitute x = 0

y = 2(0)+1

y = 0+1

y = 1

Thus, the initial value of the equation y = 2x+1 is: y = 1

Please check the attached graph of the equation y = 2x+1.

It is clear from the graph that at x = 0, the value of y = 1.

Thus, at y = 1, the line meets the y-axis.

Hence, the initial value of the line is: y = 1

Similarly, we know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

For example,

Let the equation

y = 2x+1

substitute x = 0

y = 2(0)+1

y = 0+1

y = 1

Thus, the y-intercept of y = 2x+1 is y = 1.

Please check the attached graph of the equation y = 2x+1.

It is clear from the graph that at x = 0, the value of y = 1.

Therefore, the y-intercept of y = 2x+1 is y = 1.

Conclusion:

Therefore, we conclude that the initial value and y-intercept are the same thing on a graph.

Please check the attached graph of the equation y = 2x+1.

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guapka [62]
That would be :
 4x – 10 = x2 – 5x + 10  ( y = 4x - 10 is substitute for y)

 PROOF:        y + 5x = x²<span> + 10
</span>                      (4x - 10) + 5x = x² + 10
                       4x - 10  =  x² -5x + 10
     <span>
    
</span>0 = x2 – 9x + 20<span>  (liked terms are grouped and simplified)

PROOF:     </span> 4x - 10  =  x² -5x + 10
                    4x = x² -5x + 10 + 10
                     0  = x² -5x -4x + 20
                     0  = x² - 9x + 20


Solving:
              x² - 9x + 20 = 0 

              x² - 5x - 4x + 20 = 0

              (x - 5) (x - 4)  = 0

           ⇒ x = 4  (as question says) OR x = 5
     

8 0
3 years ago
Read 2 more answers
Complete each question by choosing or typing in the best answer. To receive the highest score, be sure to leave nothing blank. W
Stells [14]

Answer:

The correct option is C) 36

Step-by-step explanation:

Consider the provided table:

x - y

1 - 1

2 - 4

3 - 9

4 - 16

Observe the pattern:

If we square the x value we can find the corresponding y value.

For example

2² = 4

Where 2 is x value and 4 is corresponding y value, similarly

3² = 9

4² = 16

Now we need to find the y value when x=6.

To find this simply square the x value that will gives us the corresponding y value.

6² = 36

Hence, the correct option is C) 36

5 0
3 years ago
Given that 7x – 2y = 30
weeeeeb [17]

Answer:

x=32/7

Step-by-step explanation:

7x-2(1)=30  Plug in 1 as y and simplify.

7x-2=30     Add 2 on both sides of the equation.

  <u>+2 +2</u>

7x=32         Divide both sides of the equation by 7.

<u>/7   /7</u>

x=32/7

Hope this helps...have an amazing day (。・∀・)ノ゙

8 0
2 years ago
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Pachacha [2.7K]

Answer:

b I think!!!!!!!!!!!##$

4 0
2 years ago
Help! please!!!!!! look at photo :))
JulsSmile [24]

Hey there!

We know that Danielle earns $10 per hour, so muliply that by 3 and get 30.

Because Danielle works an extra half an hour, divide 10 by 2 and get 5.

Danielle earns $35 in 3 hours and a half.

Hope this helps! Please mark me as brainliest!

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4 0
3 years ago
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