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Tpy6a [65]
3 years ago
13

Which linear inequality is represented by the graph? y ≥ 1/3x – 4 y ≤1/3 x – 4 y ≤ 1/3x + 4 y ≥1/3 x + 4

Mathematics
1 answer:
dolphi86 [110]3 years ago
4 0

Answer:

The correct option is y ≤1/3 x – 4

Step-by-step explanation:

If you look at the attached graph you will see that the inequality is the shaded area below the solid line.

The slope of the line is positive which is 1/3.

The y intercept is equal to -4

Thus the inequality must be:

y ≤1/3 x – 4

Therefore the correct option is:

y ≤1/3 x – 4 ....

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What is an equation for the linear function whose graph contains the points (−1, −2) and (3, 10) ? Enter your answers in the box
RideAnS [48]

There are two ways to equate a straight line. We first have y=mx+b. Then, we have (y-y₁)=m(x-x₁). Both work fine and have similar variables, but the numbers are mixed around a bit. Your equation clearly shows the second form of equation. As our equation has x-x₁ on the right, we can notice that x+1 must mimic that, so x+1=(x-x₁). As x-(-1)=x+1, we can only assume that x is -1. Looking at the points given to us, y must be -2, so we have y-(-2)=y+2, so 2 fills in the leftmost open box. To find the slope, or m, we must take

\frac{(y_{1} -y_{2})}{(x_{1} -x_{2})} from points (x₁, y₁) and (x₂, y₂). It doesn't matter which point is (x₁, y₁) , but it matters that the y₁ corresponds to the x₁. Thus, we have our slope as \frac{-2-10}{-1-3} =\frac{-12}{-4} =3


Feel free to ask further questions, and Happy Halloween!


5 0
4 years ago
Read 2 more answers
Find the equation of the line shown
liraira [26]

The equation of line passing through points (4.5. 0) and (0, 9) is y = -2x + 9.

<h3>What is the equation of a line passing through two given points in a 2-dimensional plane?</h3>

Suppose the given points are (x_1, y_1) and (x_2, y_2), then the equation of the straight line joining both two points is given by

(y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)

The graph of the picture shows two clear points (4.5. 0) and (0, 9)

(y - 0) = \dfrac{9 - 0}{0 - 4.5} (x -4.5)\\\\\\(y - 0) = \dfrac{9 }{- 4.5} (x -4.5)\\\\\\-4.5y = 9(x -4.5)\\\\-4.5y = 9x - 40.5\\\\y = -2x + 9

Hence, the equation of line passing through points (4.5. 0) and (0, 9) is y = -2x + 9.

Learn more about straight-line equations here:brainly.com/question/380976

#SPJ1

3 0
2 years ago
______ an antiques dealer, paid $150 for a painting. She wants to sell the painting for
ikadub [295]

Answer:

plzzzzz

Step-by-step explanation:

lolzzzz

3 0
3 years ago
Read 2 more answers
1/4 + 1/2 +x=−3/4
masya89 [10]
Work from the left to right.
add 1/4 and 1/2 which would give you 3/4
then subtract 3/4 from both sides of the equal sign witch would give you
x=-3/2
5 0
3 years ago
Read 2 more answers
Question 4 pleaseeeeeee
arsen [322]

Answer:

B

Step-by-step explanation:

Unit rate means one quantity in terms of another unit quantity. In the answer choices, we see that the denominator is always in terms of UNIT LITERS (1 L), so that means, we have to find gallons in terms of UNIT LITERS.

It means, we have to divide gallons by liters to get in terms of unitary liters.

Let's check the first line:

19.5/75 = 0.26 Gallons / 1 Liter

Now, checking 2nd:

39/150 = 0.26 Gallons / 1 Liter

So, yes, they are the same and other 2 lines would be the same as well. The unit rate is:

0.26 gal/1L

That's answer choice B

7 0
3 years ago
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