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denis-greek [22]
3 years ago
9

What happens to a line when the y-intercept is changed

Mathematics
2 answers:
Alika [10]3 years ago
8 0

As the y-intercept increases, the graph of the line shifts up and as the y-intercept decreases, the graph of the line shifts down.



Marat540 [252]3 years ago
3 0
The x-intercept will change
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Select correct answer
Sergio [31]

Answer:

The values of p in the equation are 0 and 6

Step-by-step explanation:

First, you have to make the denominators the same. to do that, first factor 2p^2-7p-4 = \left(2p+1\right)\left(p-4\right)2p

2

−7p−4=(2p+1)(p−4)

So then the equation looks like:

\frac{p}{2p+1}-\frac{2p^2+5}{(2p+1)(p-4)}=-\frac{5}{p-4}

2p+1

p

−

(2p+1)(p−4)

2p

2

+5

=−

p−4

5

To make the denominators equal, multiply 2p+1 with p-4 and p-4 with 2p+1:

\frac{p^2-4p}{(2p+1)(p-4)}-\frac{2p^2+5}{(2p+1)(p-4)}=-\frac{10p+5}{(p-4)(2p+1)}

(2p+1)(p−4)

p

2

−4p

−

(2p+1)(p−4)

2p

2

+5

=−

(p−4)(2p+1)

10p+5

Since, this has an equal sign we 'get rid of' or 'forget' the denominator and only solve the numerator.

(p^2-4p)-(2p^2+5)=-(10p+5)(p

2

−4p)−(2p

2

+5)=−(10p+5)

Now, solve like a normal equation. Solve (p^2-4p)-(2p^2+5)(p

2

−4p)−(2p

2

+5) first:

(p^2-4p)-(2p^2+5)=-p^2-4p-5(p

2

−4p)−(2p

2

+5)=−p

2

−4p−5

-p^2-4p-5=-10p+5−p

2

−4p−5=−10p+5

Combine like terms:

-p^2-4p+0=-10p−p

2

−4p+0=−10p

-p^2+6p=0−p

2

+6p=0

Factor:

p=0, p=6p

7 0
3 years ago
Read 2 more answers
Drag and drop numbers into the equation to complete the equation of the line in slope-intercept form.
lara31 [8.8K]

Answer:

y = 4x - 15

Step-by-step explanation:

Find slope (m) using of the line that passes through (7, 13) and (4, 1).

slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 13}{4 - 7} = \frac{-12}{-3} = 4

Find y-intercept (b) by substituting x = 4, y = 1, and m = 4 in y = mx + b.

Thus:

1 = (4)(4) + b

1 = 16 + b

Subtract 16 from each side

-15 = b

b = -15

substitute m = 4, and b = -15 in y = mx + b, to get the equation.

The equation of the line would be:

✅ y = 4x + (-15)

y = 4x - 15

7 0
3 years ago
Ms. Jones bought a box with 8 packages of felt paper for her class. The total box of paper was priced at $40. If she buys the pa
stellarik [79]

Answer:

$4

Step-by-step explanation:

To answer, we have to find the base unit of how much each package would cost out of a box. To do this, we divide the total amount of the box of paper by how many packages were inside:

40 / 8 = 5

So, each package costed Ms. Jones $5, while the single packages cost $5.50, so Ms. Jones saved $0.50 per package she bought, which if you multiply by 8, you get 4, so Ms. Jones saved a total of $4.

Hope this helps :)

3 0
3 years ago
Read 2 more answers
There are 20 skittles in a package and 8 are purple. What percentage of skittles are purple?
galben [10]

Answer:

20-8=12

12-purple skittles

4 0
4 years ago
How do find length and width if you have the area?
chubhunter [2.5K]

Answer:

Step-by-step explanation:

The area of a rectangle(A) related to the length (L) and WITDH (W) of its sides by the following Relationship:A=L W if you know the width is easy to find the length rearranging this equation to get L=A÷w if you know the length and want width rearranged to get W=A÷L this is the formula not the answer.

5 0
4 years ago
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