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2 years ago

In which quadrants do solutions for the inequality y≤x-4 exist?

Mathematics

1 answer:

aksik [14]2 years ago

8 0

Answer:

(a) I, III, and IV

Step-by-step explanation:

We want to identify areas on a graph where the solutions to an inequality might be found.

<h3>Boundary line</h3>

The boundary line for the inequality y ≤ 2/3x -4 has a positive slope and a negative y-intercept. That means it must pass through quadrants I, III, and IV.

<h3>Solution set</h3>

Quadrant II is above the line, but the y ≤ () inequality tells you the shading is below the line, where y-values are less than those on the line. There can be no solutions in quadrant II.

Solutions are found in quadrants I, III, and IV.

___

For reference, the second attachments shows the quadrant numbering.

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Answer:

131

Step-by-step explanation:

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3 years ago

Jane's favorite fruit punch consists of pear, pineapple, and plum juices in the ratio 5:2:3. C How many cups of pear juice shoul

Gala2k [10]

This question is incomplete

Complete Question

Jane’s favorite fruit punch consists of pear, pineapple, and plum juices in the ratio 5:2:3.

a) How much of each juice is needed to make 25 liters of this punch?

b) How much punch can she make if she has only 6 cups of plum juice?

c) How many cups of pear juice should she use to make the quantity of punch from part (b)?

Answer:

a)For pear =

12.5 liters

For Pineapple

= 5 liters

For plum

= 7.5 liters

b) 20 cups of punch

c) 10 cups of pear juice

Step-by-step explanation:

Jane’s favorite fruit punch consists of pear, pineapple, and plum juices in the ratio 5:2:3.

The total proportion is :

5 + 2 + 3 = 10

a) How much of each juice is needed to make 25 liters of this punch?

For pear =

5/10 × 25 = 12.5 liters

For Pineapple

= 2/10 × 25 = 5 liters

For plum

= 3/10 × 25 = 7.5 liters

b) How much punch can she make if she has only 6 cups of plum juice?

The ratio of plum juice is 3

6 cups / 3 = 2 cups per portion

Since 2 equals 2/3 of 3,

The quantity of pineapple juice = 2/3 of the plum juice

2/3 x 6 cups = 4 cups

Since 5 equals 5/3 of 3, the amount of pear juice amount 5/3 of the plum juuce

5/3 x 6 cups = 10 cups

So, the number of cups are

Pear juice = 10 cups

Pineapple juice = 4 cups

Plum juice 6 cups

Total=( 10 + 4 + 6) = 20 cups of punch

c) How many cups of pear juice should she use to make the quantity of punch from part (b)?

10 cups of pear juice can be used to make the quantity of punch in part b

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3 years ago

Which of the following options results in a graph that shows exponential growth. F(x) = 0.4(3)^x. F(x) = 3(0.5)^x. F(x) = 0.8(0.

Andre45 [30]

$f(x)=a^x\\\\if\ a \ \textgreater \ 1\ then\ a\ function\ is\ an\ exponential\ growth\ function$

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STatiana [176]

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3 years ago

Read 2 more answers

WILL MARK BRAINLIEST!

antiseptic1488 [7]

Answer:

9.58

Step-by-step explanation:

total score needed

9.5 * 5 = 47.5

Score from 4 judges

9.48 * 4 = 37.92

Score needed from 5th judge

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3 years ago