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2 years ago

Write the equation of a line with slope m= 1/2 half and including point (4, -1).

Mathematics

1 answer:

poizon [28]2 years ago

4 0

Formula: y=mx+b
(4,-1)
4 is x
-1 is y
m=1/2

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

-1=2+b
-1-2=-3

-3=b

y=1/2x-3

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Solve this equation. -3y≥72

likoan [24]

-3y≥72

divide both side by (-3)
-3y/-3 >= 72/-3
Simplify
y >= -24

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3 years ago

Which ordered pairs are solutions to the inequality y−2x≤−3?

My name is Ann [436]

we will proceed to resolve each case to determine the solution

we have

$y-2x \leq -3$

$y\leq2x-3$

we know that

If an ordered pair is the solution of the inequality, then it must satisfy the inequality.

case a) $(5,-3)$

Substitute the value of x and y in the inequality

$-3\leq2*5-3$

$-3\leq7$ -------> is true

The ordered pair $(5,-3)$ is a solution

case b) $(0,-2)$

Substitute the value of x and y in the inequality

$-2\leq2*0-3$

$-2\leq-3$ -------> is False

The ordered pair $(0,-2)$ is not a solution

case c) $(-6,-3)$

Substitute the value of x and y in the inequality

$-3\leq2*-6-3$

$-3\leq-15$ -------> is False

The ordered pair $(-6,-3)$ is not a solution

case d) $(1,-1)$

Substitute the value of x and y in the inequality

$-1\leq2*1-3$

$-1\leq-1$ -------> is True

The ordered pair $(1,-1)$ is a solution

case e) $(7,12)$

Substitute the value of x and y in the inequality

$12\leq2*7-3$

$12\leq11$ -------> is False

The ordered pair $(7,12)$ is not a solution

Verify

using a graphing tool

see the attached figure

the solution is the shaded area below the line

The points A and D lies on the shaded area, therefore the ordered pairs A and D are solution of the inequality

6 0

3 years ago

Read 2 more answers

Solve by elimination 3×+11y=4,-2×-6y=0

gizmo_the_mogwai [7]

3x + 11y = 4

2x + 6y = 0

I got
15/2, -5/4

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2 years ago

Jordan throws a ball from a cliff 12 feet above the ground with an initial velocity of 32 feet per second. In the following func

lbvjy [14]

Answer:

Your answer will be the third function

Step-by-step explanation:

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Your acceleration in this problem is going to be gravity which they give to you, 32 feet per second squared. Since the ball is falling, it means it will have negative acceleration. Now you have the equation h(t)= -16t^2. The final step is to add the initial height from which the ball was dropped giving you: h(t)= -16t^2 +12

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2 years ago

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Natali [406]

Answer:

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Step-by-step explanation:

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