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3 years ago

Which is true about the solution to the system of inequalities shown?

Mathematics

1 answer:

vivado [14]3 years ago

3 0

Answer:

All values that satisfy y ≤ 1x/3 - 3 are solutions (option 2)

Step-by-step explanation:

the values satisfying y ≤ x/3 - 3 (red area) are a subset of those satisfying

y ≤ x/3 - 1 (blue plus red area) and therefore satisfy both inequalities.

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Solve x - 6x = 40 by factoring. What is<br> the solution?

marta [7]

Answer:

x=-8

Step-by-step explanation:

collect like terms

-5x=40

divide both sides of the equation by -5

so the answer would be x=-8

7 0

3 years ago

the line y=2x-4 is dilated bt a scale factor of 3/2 and centered at the origin. Write an equation that represent that image of t

Veseljchak [2.6K]

Answer: $y = 2x -6$

Step-by-step explanation:

Since, If (x,y) represents the coordinates of a line, then after dilation about the origin by the scale factor k, the coordinates of the resultant line will get by the rule,

$(x,y)\rightarrow (kx,ky)$

Here, The equation of the given line is,

y = 2x - 4

x-intercept and y-intercept of the line are (2,0) and (0,-4) respectively,

Hence, the line y = 2x - 4 will be passes through the points (2,0) and (0,-4),

By the above property,

The dilated line about the origin will be passes through the points (3,0) and (0,-6), ( Because (3/2× 2, 3/2×0) = (3,0) and (3/2×0, 3/2×-4) = (0,-6) )

Hence, the equation of transformed line after dilation,

$y-0 = \frac{-6-0}{0-3}(x-3)$

$y-0=2(x-3)$

$y-0=2x-6$

$y=2x-6$

7 0

3 years ago

Read 2 more answers

2(5x-7)=2x+10 what Is the distributive property

professor190 [17]

2(5x)2(-7)=2x+10

2(5x)= 10x
2(-7)=-14

10x-14=2x+10

Solve:
10x-2x=8x

8x-14=10

14+10=24

8x=24

24/8=3

X=3

4 0

3 years ago

For a recent project, a teacher purchased 250 pieces of red construction paper and 114 pieces of blue construction paper. What i

Lisa [10]

The answer is b because you can divide them by 2 to get the answer<span />

7 0

3 years ago

Read 2 more answers

Please help!! Due soon!! It's multiple choice!! Can you PLEASE try to show the work? I will give you brainliest!! Please answer

liberstina [14]

16)

(4x + 2) is equal to 150 because they are vertical angles. When two lines intersect, on the opposite sides of the x like these are will be equal to one another. So let’s make them equal to each other.

4x + 2 = 150

Subtract 2

4x = 148

Divide by 4

x = 37

So it will be A

17)

The two angles added up with each other

34 + 146 = 180

Since these two add up to 180 degrees, they would be supplementary angles.

So, H

18)

The two angles will make a 90 degree angle (as shown with the little box formed in the corner)

When angles add up to make 90 degrees, they will be complimentary angles.

So, C.

3 0

3 years ago