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3 years ago

Write the solution to the given inequality in interval notation.

Mathematics

1 answer:

melomori [17]3 years ago

8 0

The answer is [4,6) because a square bracket (closed) denotes that the lower bound is inclusive, and the parenthesis (open) denotes that the upper bound is exclusive.

As you can see on the number line, there is a closed dot on 4 and an open dot on 6.

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Use the given equation to determine if the points in the brackets are on the graph

dmitriy555 [2]

The points in the brackets are on the graph are (0, 2) and (6, 10)

<h3>How to determine if the points in the brackets are on the graph?</h3>

The equation of the line is given as

4x - 3y = -6

The points are given as:

{(0,2),(1,3),(4,7),(6,10)}

Rewrite as

(x, y) = {(0,2),(1,3),(4,7),(6,10)}

Next, we substitute the x and y values in the equation 4x - 3y = -6

So, we have

(0, 2):

4(0) - 3(2) = -6

-6 = -6 ---- true

(1, 3):

4(1) - 3(3) = -6

-5 = -6 ---- false

(4, 7):

4(4) - 3(7) = -6

-5 = -6 ---- false

(6, 10):

4(6) - 3(10) = -6

-6 = -6 ---- true

Hence, the points in the brackets are on the graph are (0, 2) and (6, 10)

Read more about linear equations at:

brainly.com/question/2226590

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3 0

1 year ago

Order the set of integers from greatest to least.<br><br><br><br> {8, 32, 55, 32, 19, 3

dexar [7]

Answer:

55,32,32,19,8,3

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Four gallons of paint are used to paint 20 chairs and 5 small tables.if each chair and table used the same amount of paint, how

Vinil7 [7]

Answer:

0.16 gallons of paint are used on each piece of furniture.

The answer lies between the whole numbers 0 and 1.

Step-by-step explanation:

we know that

Four gallons of paint are used to paint 20 chairs and 5 small tables.

if each chair and table used the same amount of paint

then

sum the total pieces of furniture

20+5=25 pieces

Find the unit rate

Divide the total gallons of paint used by the total pieces

$\frac{4}{25}=0.16\ \frac{gallons}{piece}$

therefore

0.16 gallons of paint are used on each piece of furniture.

The answer lies between the whole numbers 0 and 1.

7 0

3 years ago

Kirk is uploading a large video file to a video sharing website. After 9 minutes, 17% of the video file has been uploaded. If th

Hatshy [7]

Answer:

53 minutes

Step-by-step explanation:

Let x be the time required for a full video upload. This would have the unit of (minutes/full upload). Since the upload rate is constant, we can write:

(0.17)*(x) = 9 minutes

This equation states that 17% of the full upload time is 9 minutes.

Solve for x:

x = (9 minutes)/(0.17)

x = 52.9 minutes or 53 minutes with 2 sig figs

8 0

2 years ago

!!!URGENT!!!

suter [353]

Use the slope formula y2-y1/x2-x1

3-(-7)/1-(-1) = 10/2 = 5

To find the y-intercept:

y=5x+b

3=5(1)+b

3 = 5+b

-5 -5

-2=b

The equation of the line that passes through (-1,-7) and (1,3) is

y=5x-2

5 0

3 years ago