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quester [9]
3 years ago
15

Write in slope-intercept form an equation of the line that passes through the given points. (2,4),(5,13)

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
7 0

Answer:

y = 3x-2

Step-by-step explanation:

We can find the slope using the equation for slope

m = (y2-y1)/(x2-x1)

    = (13-4)/(5-2)

    = 9/3

     = 3

We know the slope and a point, so we can use point slope form to make an equation

y-y1 = m(x-x1)

y-4 = 3(x-2)

Distribute

y-4 = 3x-6

Add 4 to each side

y-4+4 = 3x-6+4

y = 3x-2

This is in slope intercept form (y= mx+b)

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Write an equation for the quadratic graphed below: x-intercepts: (-1,0) and (4,0); y-intercept: (0,1)
Luda [366]

Answer:

y = (1/4)x² - (5/4)x + 1

Step-by-step explanation:

The x-intercepts of the quadratic equation are simply it's roots.

Thus, we have;

(x + 1) = 0 and (x - 4) = 0

Now, formula for quadratic equation is;

y = ax² + bx + c

Where c is the y intercept.

At y-intercept: (0,1), we have;

At (-1,0), thus;

0 = a(1²) + b(1) + 1

a + b = -1 - - - (1)

At (4,0), thus;

0 = a(4²) + b(4) + 1

16a + 4b = -1

Divide both sides by 4 to get;

4a + b = -1/4 - - - (2)

From eq 1, b = -1 - a

Thus;

4a + (-1 - a) = -1/4

4a - 1 - a = -1/4

3a - 1 = -1/4

3a = 1 - 1/4

3a = 3/4

a = 1/4

b = -1 - 1/4

b = -5/4

Thus;

y = (1/4)x² - (5/4)x + 1

6 0
3 years ago
WILL MARK BRAINLIEST IF GOTTEN RIGHT IF YOU GET IT WRONG ON PURPOSE I WILL BE REPORTING YOU
Sauron [17]

Answer: im pretty sure its 5 to the second power so the third one

Step-by-step explanation:

8 0
3 years ago
A company has determined that its weekly profit is a function of the number of items that it sells. Which equation could represe
Mrac [35]

Answer:

B. y= -x^2+50x-300

Step-by-step explanation:

A. y^2=4x^2-100

B. y= -x^2+50x-300

C. x=-y^2-400

D. x^2=-6y^2+200

we are to find profits (y) when the company sells x items

Option A can be used to calculate the profit (y) squared

Option B can be used to calculate profits (y)

Option C can be used to calculate items sold(x)

Option D can be used to calculate items sold squared(x^2)

We are asked to find the weekly profit (y) function which eliminate options A, C and D leaving us with option B

Therefore, the weekly profits (y) function in thousands of dollars when the company sells x items is

B. y= -x^2+50x-300

7 0
3 years ago
Read 2 more answers
Find the mean of the data: 14, 9, 2, 13, 16, 3, 13, 10
svp [43]
<span>14+ 9 + 2+ 13+ 16+3+ 13+ 10 = 80
80/8 = 10

answer
mean = 10

</span>
7 0
3 years ago
Pleasseeeeee help meee
maks197457 [2]

Answer:

29.

a. A = 24ft²

b. A = 44ft²

30. He will need 72 pieces

31. There is 17,750ft² of land left

Step-by-step explanation:

look at the picture

4 0
2 years ago
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