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Sophie [7]
3 years ago
5

Write the slope -intercept form of an equation of the line that passes through the given point and is parallel to the graph of t

he equation.
5,-5,3x+y=-2

A. y=10x+3
B. y=-3x+10
C. y=1/3x-10
D. y=-3x-10
Mathematics
1 answer:
ElenaW [278]3 years ago
7 0

Answer:

The equation of the required line in the slope-intercept form is

y = -3x + 10

Step-by-step explanation:

i) the required line passes through the point (5, -5)

ii) the required line is also parallel to the line 3x + y = -2 ⇒ y = -3x - 2

  Therefore the slope of the given line is -3.

  Therefore the slope of the required line is also -3

  The equation of the required line in the slope-intercept form is

  y - (-5) = -3(x - 5) ⇒ y + 5 = -3x + 15    ⇒      y = -3x + 10   ∴ 3x + y = 10.

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3 0
3 years ago
Mike pays $20 per hour for algebra tutoring. The equation y = 20x relates the cost of tutoring (y) to the number of hours (x) he
kotykmax [81]

The unit rate in the equation is 20.

Option C) is the correct answer.

<u>Step-by-step explanation</u>:

Step 1 :

In the given equation y = 20x

where,

x ⇒ total number of hours for tutoring

20 ⇒  the cost per hour of tutoring

y ⇒ the total cost for total hours of tutoring

Step 2 :

Unit rate refers to the value per hour.

Here, the cost for 1 hour of tutoring is $20.

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8 0
4 years ago
List 2 numbers between 5.2 and 5.03
Ann [662]

Answer:

5.1 and 5.05

Not really much to explain. Still, hope this helped!

P.S. (5.2 is more than 5.03, btw)

3 0
3 years ago
write the equation in standard form of the function with x intercepts at (4,0) and (-2,0) that has been reflected across the x a
Anastaziya [24]

answer

-3x^{2} +6x + 24

explanation

since there are 2 x-intercepts, the lowest degree the function could possibly have is 2, so this could be the graph of a parabola

since our zeros are at x = 4 and x = -2, our factors are (x - 4) and (x + 2)

our equation so far is

(x - 4)(x + 2)

= x^2 -4x + 2x - 8

= x^{2} -2x - 8

since the function is reflected across the x-axis, multiply the equation by -1

-(x^{2} -2x - 8)

= -x^{2} +2x + 8

since the function has a vertical stretch of 3, multiply the equation by 3

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= -3x^{2} +6x + 24

3 0
3 years ago
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FromTheMoon [43]

Answer:

Each person shared 1/6 of the cake.

Step-by-step explanation:

3 people shared a half of a cake so it’s 1/2 divided by 3.

7 0
3 years ago
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