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VashaNatasha [74]
3 years ago
12

Find the x-intercepts and y-intercept for the parabola below. Write answers as (x,y) coordinates.

Mathematics
1 answer:
dimulka [17.4K]3 years ago
4 0
The equation given is:
y = -7x^2 - 4x + 3

(1) The x intercept occurs at the point that has y = 0, therefore:
y = -7x^2 - 4x + 3
0 = -7x^2 - 4x + 3
(7x-3)(x+1) = 0
either x = 3/7 ......> the point is (3/7 , 0)
or x = -1 ......> the point is (-1,0)

(2) The y-intercept occurs at the point that has x = 0, therefore:
y = -7x^2 - 4x + 3
y = -7(0)^2 - 4(0) + 3
y = 3 ............> the point is (0,3)
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Find the equation of the line that passes through the following points. Write the equation in slope-intercept form.
ra1l [238]

Answer:

The equation in the slope-intercept form will be:

y  = 1/4x - 7

Step-by-step explanation:

Given the points

  • (-4.-8)
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\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-4,\:-8\right),\:\left(x_2,\:y_2\right)=\left(-8,\:-9\right)

m=\frac{-9-\left(-8\right)}{-8-\left(-4\right)}

m=\frac{1}{4}

We know that the slope-intercept of line equation is

y=mx+b

where m is the slope and b is the y-intercept

substituting m = 1/4 and the point (-4, -8) to find the y-intercept 'b'

y = mx+b

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b = -8+1

b = -7

so the y-intercept = b = -7

substituting m = 1/4 and b = -7 in the slope-intercept form of line equation

y = mx+b

y  = 1/4x + (-7)

y  = 1/4x - 7

Thus, the the equation in slope-intercept form will be:

y  = 1/4x - 7

6 0
3 years ago
Simplify. 16 – 7 – (–4) + 12 A. –7 B. 17 C. 25 D. 39
alexandr402 [8]
1)  16-7+4+12
       =25
so the answer is C
hope it helps
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3 years ago
25/8 in decimal form
Brilliant_brown [7]

Answer:

3.125

Step-by-step explanation:

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A is not true

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