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Finger [1]
3 years ago
8

Which ordered pairs are solutions to the inequality y-3x<10

Mathematics
2 answers:
BartSMP [9]3 years ago
7 0

Answer:

(0,-4)

(4,-1)

(0,-1)

Step-by-step explanation:

find the ordered pairs are solutions to the inequality

y-3x

Lets check with each ordered pair

Lets plug in each pair (x,y)

(0,-4) , plug in x=0 and y=-4

-4-3(0)

-4 is True

(-6,0) , plug in x=-6 and y=0

0-3(-6)

18 is False

(-1,7) , plug in x=-1 and y=7

7-3(-1)

10 is False

(4,-1) , plug in x=4 and y=-1

-1-3(4)

-13 is True

(0,-1) , plug in x=0 and y=-1

-1-3(0)

-1 is True

maksim [4K]3 years ago
4 0
The first, second, and the last one are correct
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What is an equation of the line that passes through the point (-2,7) and is perpendicular to the line x-6y=42 ?
Natali5045456 [20]

Answer:

The equation of the line that passes through the point (-2,7) and is perpendicular to the line x-6y=42 is

6x+y=-5

Step-by-step explanation:

Given:  

Let,  

point A( x₁ , y₁) ≡ ( -2 , 7)

To Find:  

Equation of Line  that passes through the point (-2,7) and is perpendicular to the line x-6y=42=?  

Solution:  

x-6y=42    ..................Given

which can be written as

y=mx+c

Where m is the slope of the line

∴ y=\dfrac{x}{6}-7

On Comparing we get

Slope = m = \dfrac{1}{6}

The Required line is Perpendicular to the above line.

So,

Product of slopes = - 1

m\times m_{1}=-1\\Substituting\ m\\ \dfrac{1}{6} m_{1}=-1\\\\m_{1}=-6

Slope of the required line is -6

Equation of a line passing through a points A( x₁ , y₁) and having slope m is given by the formula,  

i.e equation in point - slope form

(y-y_{1})=m(x-x_{1})

Now on substituting the slope and point A( x₁ , y₁) ≡ ( -2, 7) and slope = -6 we get

(y-7)=-6(x--2)=-6(x+2)=-6x-12\\\\\therefore 6x+y=-5.......is\ the required\ equation\ of\ the\ line

The equation of the line that passes through the point (-2,7) and is perpendicular to the line x-6y=42 is

6x+y=-5

3 0
3 years ago
I need help with C, thank you.
guapka [62]
Simple....

\frac{3}{4} x\ \textless \  \frac{9}{2}

x<6

This means that on your graph at 6 it's a circle (not colored in) and it goes to the left indefinitely...

Thus, your answer.
6 0
3 years ago
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emmainna [20.7K]

Answer:

4/5

Step-by-step explanation:

16/20 in a simpler form is 8/10. 8/10 in the simplest form is 4/5 (division)

8 0
3 years ago
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Volgvan

Answer:

6x^2 - 3x

6x^2-3x

Step-by-step explanation:

3x (2x-1)

multiply 3x by 2x -> 6x^2

multiply 3x by -1 -> -3x

6 0
3 years ago
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What is the average rate of change of the function over the interval x = 0 to x = 6? f(x)=2x−1 3x+5 Enter your answer, as a frac
Tatiana [17]

Answer:

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Step-by-step explanation:

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8 0
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