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Vanyuwa [196]
3 years ago
6

On a coordinate plane, a solid straight line has a positive slope and goes through (0, negative 1.3) and (3, negative 0.3). Ever

ything below and to the right of the line is shaded.
Which linear inequality is represented by the graph?

y ≤ One-thirdx – 1.3
y ≤ One-thirdx – Four-thirds
y ≥ One-thirdx – Four-thirds
y ≥ One-thirdx – 1.3
Mathematics
2 answers:
blsea [12.9K]3 years ago
7 0

Answer:

A

Step-by-step explanation:

slope=\frac{-0.3-(-1.3)}{3-0}=\frac{1}{3}\\eq.~of~line~is y-(-1.3)=\frac{1}{3}(x-0)\\y=\frac{1}{3}x-1.3\\as~it~is~shaded~to~the~right~so~y\leq \frac{1}{3}x-1.3~satisfies ~it.

Nat2105 [25]3 years ago
7 0

Answer:

A. y\leq \frac{1}{3}x-1.3.

Step-by-step explanation:

We have been given that or a coordinate plane, a solid straight line has a positive slope and goes through (0, -1.3) and (3, -0.3). Everything below and to the right of the line is shaded. We are asked to choose the inequality that represents the graph.    

First of all, we will find the slope of line using our given points as:

m=\frac{-0.3-(-1.3)}{3-0}

m=\frac{-0.3+1.3}{3}

m=\frac{1}{3}

Now we will use point-slope form of equation to find the equation of boundary line as:

y-y_1=m(x-x_1)

y-(-1.3)=\frac{1}{3}(x-0)

y+1.3=\frac{1}{3}x

y+1.3-1.3=\frac{1}{3}x-1.3

y=\frac{1}{3}x-1.3  

The one side of line would be y\geq \frac{1}{3}x-1.3 and other side of the boundary line would be y\leq \frac{1}{3}x-1.3.  

Now we will graph our line.

We can see that the point (0,6) is on right side of boundary line, so we will test (0,6) in both inequalities.

6\leq \frac{1}{3}(0)-1.3

6\leq 0-1.3

6\leq -1.3

Since point (0,6) satisfies the inequality y\leq \frac{1}{3}x-1.3, therefore, our required inequality would be y\leq \frac{1}{3}x-1.3 and option A is the correct choice.

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Roberto can lift 103.5 pounds. That is .9 times the amount his friend Vance can lift. Can Vance lift more or less than 103.5 pou
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Answer:

Step-by-step explanation:

Vance can lift 0.9×103.5 pounds.

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What is the slope of the line whose equation is y−4=5/2(x−2)?
postnew [5]

Answer:

m=\dfrac{5}{2}

Step-by-step explanation:

If the equation of the line is

y=mx+b,

then m represents the slope of the line and b represents the y-intercept of the line. This equation is called the equation of the line in the slope form.

Rewrite the equation of the line in the slope form

y-4=\dfrac{5}{2}(x-2)\\ \\y-4=\dfrac{5}{2}x-\dfrac{5}{2}\cdot 2\\ \\y-4=\dfrac{5}{2}x-5\\ \\y=\dfrac{5}{2}x-1

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irina1246 [14]
  • you will need 2 busses to only transport the boys.
  • Mark is at (1 + 5/6) miles of his house.
<h3>How many buses would it take to carry only the boys?</h3>

We know that there are (3 + 1/2) groups, such that each group fill one bus.

2/5 of the students are boys, then the number of groups that we can make only with boys is:

(2/5)*(3 + 1/2) = 6/5 + 1/5 = 7/5 = 5/5 + 2/5 = 1 + 2/5

Then you can make one and a little less than a half of a group, which means that you need 1 and 2/5 of a buss to transport the boys, rounding that to the a whole number, you will need 2 busses to only transport the boys.

<h3>How far is Mark from his house?</h3>

The original distance is:

D = (2 + 3/4) miles.

But Mark only covers 2/3 of that distance, then we have:

d = (2/3)*D = (2/3)*(2 + 3/4) miles = (4/3 + 2/4) miles

d = (4/3 + 1/2) miles = (8/6 + 3/6) miles = (1 + 5/6) miles

Mark is at (1 + 5/6) miles of his house.

If you want to learn more about mixed numbers:

brainly.com/question/21610929

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