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Lisa [10]
2 years ago
7

Which of the following inequalities matches the graph? graph of an inequality with a dashed line through the points (0, 7) and (

1, 5) with shading below the line 2x + y < 7 2x − y > 7 2x + y < −7 The correct inequality is not listed
Mathematics
2 answers:
stiks02 [169]2 years ago
7 0

Answer:

2x + y < 7

Step-by-step explanation:

First we find the slope of the line that passes through the given points.  The formula for slope is:

m=\frac{y_2-y_1}{x_2-x_1}

Using our points, we have

m=\frac{7-5}{0-1}=\frac{2}{-1}=-2

The y-intercept will be the point where the data crosses the y-axis.  All y-intercepts have an x-coordinate of 0; since we already have the point (0, 7), we have the y-intercept at 7.  This makes our equation

y = -2x + 7

The inequalities we're given are written in standard form, Ax+By=C.  This means we need x and y on the same side of the equals in our equation.

Since the inequality is graphed below the line, we want our inequality to be

y < -2x+7

To move the x-value to the other side of the equation, we will add 2x to each side:

y+2x < -2x+7+2x

y+2x < 7

2x+y < 7

vovikov84 [41]2 years ago
7 0

the answer is 2x + y < 7 .


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IrinaVladis [17]
Tax
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(0.07 is the 7% tax in decimal form)

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7 0
3 years ago
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I need help algebra ​
asambeis [7]

Answer:

A. the slope value is 1/4

B. 0

C. y = 1/4x

Step-by-step explanation:

A: the slope can be calculated with the formula

m =  \frac{rise}{run}  = \frac{y2 - y1}{x2 - x1}

m is the slope

(x1, y1) is your first coordinate point (any point will work)

(x2, y2) is your second coordinate point (any point will work)

Plug in your values, in this case I chose (0,0) and (4,1) as the two coordinates:

m =  \frac{y2 - y1}{x2 - x1}  =  \frac{1 - 0}{4 - 0}  =  \frac{1}{4}

B: the y-intercept is the y-coordinate of where the graph touches the y-axis and in this case the coordinate is (0,0) where the y coordinate is 0.

C:

the equation of the graph is y = mx + b.

m is the slope = 1/4

b is the y-intercept = 0

Therefore the equation is y = 1/4x

6 0
3 years ago
What is the surface area of the rectangular prism?
Nadusha1986 [10]
348 in. 2

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3 years ago
A box contains 5 red balls, 6 white balls and 9 black balls. Two balls are drawn at
valina [46]

Answer:

P(Same)=\frac{61}{190}

Step-by-step explanation:

Given

Red = 5

White = 6

Black = 9

Required

The probability of selecting 2 same colors when the first is not replaced

The total number of ball is:

Total = 5 + 6 + 9

Total = 20

This is calculated as:

P(Same)=P(Red\ and\ Red) + P(White\ and\ White) + P(Black\ and\ Black)

So, we have:

P(Same)=\frac{n(Red)}{Total} * \frac{n(Red) - 1}{Total - 1} + \frac{n(White)}{Total} * \frac{n(White) - 1}{Total - 1}  + \frac{n(Black)}{Total} * \frac{n(Black) - 1}{Total - 1}

<em>Note that: 1 is subtracted because it is a probability without replacement</em>

P(Same)=\frac{5}{20} * \frac{5 - 1}{20- 1} + \frac{6}{20} * \frac{6 - 1}{20- 1}  + \frac{9}{20} * \frac{9- 1}{20- 1}

P(Same)=\frac{5}{20} * \frac{4}{19} + \frac{6}{20} * \frac{5}{19}  + \frac{9}{20} * \frac{8}{19}

P(Same)=\frac{20}{380} + \frac{30}{380}  + \frac{72}{380}

P(Same)=\frac{20+30+72}{380}

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4 0
2 years ago
Help please -2x+3=x+12
BARSIC [14]

Step-by-step explanation:

-2x+3=x+12

combin like terms

-2x-x=12-3

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x=9/-3

x=-3

3 0
2 years ago
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