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Luden [163]
2 years ago
8

Graph the inequality y>2/3x-1

Mathematics
1 answer:
xenn [34]2 years ago
5 0

Answer:

graph{y>2/3x-1 [-10, 10, -5, 5]}

Explanation:

First, graph a line with the equation y=23x−1. This equation is in the form y=mx+b. 23 is the slope and −1 is the y-intercept.

graph{2/3x-1 [-10, 10, -5, 5]}

However, we are graphing an inequality so we're gonna have to shade either the area above the line or below the line. First, let's look at the inequality symbols.

> Greater than

< Less than

≥ Greater than or equal to

≤ Less than or equal to

If the inequality includes equal to, then the line will be solid. If not, then the line will be dotted. Since the inequality y>23x−1 doesn't contain the equal to, the line will be dotted.

The direction of the inequality sign matters too. If it's greater than, then the top area will be shaded. If it's less than, then the bottom area will be shaded. Since the inequality y>23x−1 has greater than, the top area will be shaded.

graph{y>2/3x-1 [-10, 10, -5, 5]}

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Write the inverse variation function given that y varies inversely with x, and y = 0.25 when x = 8.
storchak [24]

Answer:

Step-by-step explanation:

If a given variable varies inversely with another variable, an increase in the value of the given variable would cause a corresponding decrease in the value of the other variable. Also, a decrease in the value of the given variable would cause a corresponding increase in the value of the other variable.

If y varies inversely with x, we would introduce a cost of variation, k so that the expression becomes

y = k/x

When y = 0.25, x = 8

Substituting into the expression above, it becomes

0.25 = k/8

k = 0.25 × 8

k = 2

The inverse variation function is

y = 2/x

5 0
3 years ago
Problem:<br>2x+3 (x-4)=x-20
monitta
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6 0
3 years ago
Buying one movie ticket online costs $16.50. Two tickets cost $30.50. Assuming that the relationship is linear, use the drop dow
HACTEHA [7]

Answer:

C(n)=14n+2.50

Step-by-step explanation:

Let

n -----> number of tickets

C ----> represent the cost of buy n tickets online

we have the ordered pairs

(1,16.50) and (2,30.50)

<em>Find out the slope of the linear equation</em>

The formula to calculate the slope between two points is equal to

m=\frac{C2-C1}{n2-n1}

substitute the values

m=\frac{30.50-16.50}{2-1}

m=14

<em>Find the equation of the line in slope intercept form</em>

C=m(n)+b

we have

m=14

point(1,16.50)

substitute

16.50=14(1)+b

b=16.50-14

1b=2.50

substitute

C(n)=14n+2.50

The domain of the function is all positive integers (whole numbers) including zero

{0,1,2,3,4,...}

5 0
2 years ago
Convert 0.533333... to a fraction.<br> (only the 3 is repeating)<br><br> Please show the work!!
amm1812
<span>Let x = 0.5333333333 ...

So 100x = 53.3333333333 ...
and 10x = 5.3333333333 ...
---------------------------------
90x = 53 – 5 = 48.

So x = 48/90 = 8/15 after reduction to lowest terms (by factor of 6)
0.3333... = ⅓. and that 0.5 = ½.

So 0.533333... = 0.5 + 0.0333333...0.5 + 0.3333.../10 = 1/2 + (1/3)/10 = 1/2 + 1/30 = 16/30 = 8/15</span>
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3 years ago
S=3.2yd<br> A=square <br><br> Find the area
wlad13 [49]

since a square must be the same length on all sides to be a correct square, you can legit just multiply the length of one side times four to get the area.

3.2 x 4 = 12.6
8 0
2 years ago
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