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nekit [7.7K]
3 years ago
10

Convert to an improper fraction. Type in your answer with the negative in the numerator.

Mathematics
1 answer:
MariettaO [177]3 years ago
6 0

Answer:

-35/4

Step-by-step explanation:

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Which number completes the system of linear
LiRa [457]

The number that completes the System of Linear Inequalities represented by the Graph y >= 2x – 2 and x + 4y > =  is -12. Hence, x + 4y \geq -12

<h3>What is a System of Linear Inequalities?</h3>

A collection of linear inequalities in the same variables is referred to as a system of linear inequalities. Any ordered pair that fulfills all of the inequalities is the solution.

<h3>What is the calculation to prove the above assertion?</h3>

Recall that:

  • The linear equation with slope m and intercept c is given as follows.

y = mx + c

  • The formula for slope of line with points  and  can be expressed as

m = (y2 - y1)/(x2 - x1)

Given that

The orange line intersects y-axis at (0,-2), therefore the y-intercept is -2.

The orange line intersect the points that are (1,0)  and (0, -2).

The slope of the line can be obtained as follows:

m = (-2-0)/(0-1)

= -2/-1

= 2

The slope of the line is m = 2.

Therefore, the orange line is y \geq 2x -2

The blue line intersects y-axis at (0,-3), therefore the y-intercept is -3.

The blue line intersect the points that are (-4, -2) and  (0, -3)

The slope of the line can be obtained as follows.

m = (-3-(-2))/(0-(-4))

= (-3 + 2)/4

= - (1/4)

The slope of the line is:
m = -(1/4)

The inequalities is x + 4y \geq b passes through the point (0, -3)

(0) + 4 (-3) = b

-12 =b

Thus, -12 in is the number that completes the system. Hence, x + 4y \geq -12

Learn more about system of inequalities at;
brainly.com/question/9774970
#SPJ1

4 0
2 years ago
A 4-pint carton of sour cream costs $9.12. What is the price per cup?
Mamont248 [21]
1 pint = 2 cups

1 pint x 4 & 2 cups x 4

4 pints = 8 cups

9.12/8

1.14

$1.14 per cup
5 0
3 years ago
Can anyone solve this for me???
Elena-2011 [213]

Answer:

Step-by-step explanation:

It x

5 0
3 years ago
Write an expression for the perimeter of the triangle shown in the picture
umka2103 [35]

Answer: x-5+5+5

Step-by-step explanation:

3 0
2 years ago
If a=(-1, -3) and b=(11, -8) what is the length of ab?
professor190 [17]

Answer: D.  The length is 13 units.

Step-by-step explanation:

(-1, -3 )    Find the difference between the x values and y values.

 (11, -8)  

-3-(-8) = 5

-1-11 =   -12    now find the  absolute values.

The absolute value of 5 is 5 .  The absolute value of  -12 is 12.

Now use the Pythagorean Theorem formula a^2 + b^2 =c^2  where c square is the length between AB.

5^2 + 13^2 = C^2

25 + 144 = c^2  

169=c^2

c= 13

8 0
3 years ago
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