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Brilliant_brown [7]
3 years ago
8

Two math questions

Mathematics
1 answer:
Ivenika [448]3 years ago
5 0
1. Substitute y in the first equation into the second one.
x+4=-2x-2

Add 2x to both sides
3x+4=-2

Subtract 4 from both sides
3x=-6

Divide both sides by 3
x=-2

Plug in the x value
y=-2+4
y=2

Final answer: (-2,2)

2. There are 0 solutions because the lines are parallel and will never cross each other
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Witch is grater 3/4 or 11/16 ??
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Which equations and/or functions represent the graphed line? Select four options. f(x) = 0.2x - 4
Vanyuwa [196]

Answer:

f(x) = 0.2x - 4  (incorrect)

f(x) = 0.5x + 2  (correct)

f(x) = 1/2x + 2      (correct)

y – 3 = 1/2(x – 2)     (correct)

y – 1 = 0.5(x + 2)

Step-by-step explanation:

<em>Step 1 : Find two coordinates</em>

(0, 2) (-4, 0)

<em>Step 2 : Find the slope</em>

Slope = m = Y2-Y1/X2-X1

m = 0-2/-4-0

m = -2/-4

m = 1/2 or 0.5

<em>Step 3 : Find the y-intercept</em>

Y-intercept is where the line intersects the y-axis

c = 2

<em>Step 4 : Form the equation y=mx + c</em>

<em>Given Equations and their slope intercept forms:</em>

1) f(x) = 0.2x - 4

This is incorrect because slope is 1/2 or 0.5 and y intercept is 2

2) f(x) = 1/2x + 2

y = 1/2x + 2

This is correct because slope is 1/2 or 0.5 and y intercept is 2

3) f(x) = 0.5x + 2

y= 0.5x + 2 (As m=0.5)

This is correct because slope is 1/2 or 0.5 and y intercept is 2

4) y – 3 = 1/2(x – 2)

Rearranging in slope intercept form:

y-3=1/2x - 1

y = 1/2x-1+3

y = 1/2x + 2

This is correct because slope is 1/2 or 0.5 and y intercept is 2

5) y – 1 = 0.5(x + 2)

y -1 = 0.5x+1

y = 0.5x +1+1

y = 0.5x + 2

This is correct because slope is 1/2 or 0.5 and y intercept is 2

!!

6 0
3 years ago
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