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Black_prince [1.1K]
3 years ago
13

Y=1/4x + 6 that passes through the point (-4, 3) in slope-intercept form.

Mathematics
1 answer:
Komok [63]3 years ago
5 0

Answer:

The answer is

<h2>y =  \frac{1}{4} x + 4</h2>

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line.

The equation is

y = 1/4x + 6

Comparing with the general equation above

Slope = 1/4

Since the lines are parallel their slope are also the same

That's

Slope of parallel line = 1/4

So the equation of the parallel line using point (-4 , 3) and slope 1/4 is

<h3>y - 3 =  \frac{1}{4} (x + 4) \\ y - 3 =  \frac{1}{4} x + 1 \\ y =  \frac{1}{4} x + 1 + 3</h3>

We have the final answer as

<h3>y =  \frac{1}{4} x + 4</h3>

Hope this helps you

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I need help with this question <br>-4 (2p+ 3) = -(p+1) - 2​
ankoles [38]

Answer:

-4 (2p+ 3) = -(p+1) - 2​

-8p -12 = -p-1-2

-7p=9

p=-9/7

Step-by-step explanation:

6 0
3 years ago
A bicyclist travels at a constant speed of 12 miles per hour for a total of 45 minutes. Use set notations for the domain and ran
Mama L [17]

A bicyclist travels at a constant speed of 12 miles per hour for a total of 45 minutes

Domain x is number of hours

Range y is distance traveled

speed = 12 miles per hour

time = 45 minutes = \frac{45}{60} = 0.75 hours

We know distance formula

Distance = speed * time

Distance = 12 * 0.75= 9 miles

Number of hours x is 0 to 0.75 hours

So domain is { x | 0}

Distance is 0 to 9 miles

So range is { x | 0}

5 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B4%7D%20%20-%206%20%7Bx%7D%5E%7B3%7D%20%20%2B%2022%20%7Bx%7D%5E%7B2%7D%20%20-%2
alexira [117]

Answer:

x = 2, 1 + 3i, 1 − 3i

Step-by-step explanation:

Find the Roots (Zeros)

x^4 − 6x^3 + 22x^2 − 48x + 40

Set x^4 − 6x^3 + 22x^2 − 48x + 40 equal to 0. x^4 − 6x^3 + 22x^2 − 48x + 40 = 0

Solve for x.

Factor the left side of the equation.

Factor x^4 − 6x^3 + 22x^2 − 48x + 40 using the rational roots test.

(x − 2) (x^3 − 4x^2 + 14x − 20) = 0

 Factor x^3 − 4x^2 + 14x − 20 using the rational roots test.

(x − 2) (x − 2) (x2 − 2x + 10) = 0

 Combine like factors.

(x − 2)2 (x^2 − 2x + 10) = 0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

(x − 2)^2 = 0

x^2 − 2x + 10 = 0

 Set (x − 2)^2 equal to 0 and solve for x.

Set (x − 2)^2 equal to 0.

 (x − 2)^2 = 0

Solve (x − 2)^2 = 0 for x.

x = 2

 Set x^2 − 2x + 10 equal to 0 and solve for x.

Set x^2 − 2x + 10 equal to 0. x^2 − 2x + 10 = 0

Solve x^2 − 2x + 10 = 0 for x.

Use the quadratic formula to find the solutions.

−b ± (√b^2 − 4 (ac) )/2a

Substitute the values a = 1, b = −2, and c = 10 into the quadratic formula and solve for x.

2 ± (√(−2)^2 − 4 ⋅ (1 ⋅ 10))/2 ⋅ 1

Simplify.

Simplify the numerator.

  x =    2 ± 6i/ 2.1

Multiply 2 by 1

 x =  2 ± 6i/2⋅1

 Simplify

  2 ± 6i/2  

   x = 1 ± 3i

The final answer is the combination of both solutions.

x = 1 + 3i, 1 − 3i

The final solution is all the values that make (x − 2)2 (x2 − 2x + 10) = 0 true.

x = 2, 1 + 3i, 1 − 3i

3 0
3 years ago
Which of these is NOT a function ?
Kazeer [188]

Answer:

A

Step-by-step explanation:

it fails the vertical line test

7 0
3 years ago
Read 2 more answers
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Sergio [31]

Answer:

max is 25 there is no min

Step-by-step explanation:

max is 25 because when you do the table the highest y value their is it is 25 the min they are the same so there is no absolute min

8 0
2 years ago
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