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3 years ago

The solution set for the inequality - 3 (x - 4) > 6(x - 1), includes 3 as an element.

2 answers:

6 0

-3(x-4) > 6(x-1)
-3x +12 > 6x -6
12+6 > 6x+3x
18 > 9x

x < 18/9

x < 2 so from this result the solution set for this inequality dont includes 3 as an element

galben [10]3 years ago

5 0

Answer:

I'm a little late answering but the answer is False.

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What is 56/74 in simplest form?

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56/74 in simplest form

56/74×2/2=28/37

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4 years ago

Read 2 more answers

A line is drawn through (-7, 11) and (8, -9). The equation

Oduvanchick [21]

Answer:

$4x+3y=5$

$y=-\frac{4}{3}x+\frac{5}{3}$

Step-by-step explanation:

we have the points

(-7, 11) and (8, -9)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{-9-11}{8+7}$

$m=-\frac{20}{15}$

Simplify

$m=-\frac{4}{3}$

Write the equation in point slope form

$y-y1=m(x-x1)$

we have

$m=-\frac{4}{3}$

$point\ (-7, 11)$

substitute

$y-11=-\frac{4}{3}(x+7)$

Convert to standard form

we have

$y-11=-\frac{4}{3}(x+7)$

Multiply by 3 both sides

$3y-33=-4x-28\\4x+3y=5$

Convert to slope intercept form

we have

$y-11=-\frac{4}{3}(x+7)$

Isolate the variable y

$y=-\frac{4}{3}x-\frac{28}{3}+11$

$y=-\frac{4}{3}x+\frac{5}{3}$

8 0

3 years ago

A particular dam contains approximately 1,900,000,000,000 cubic feet of water. for a week long spike flood, the dam released at

Fantom [35]

Answer:

a) How much water was released during the flood?

14878080000 cubic feet or 14,878,080,000ft³

b) What percentage of the dam was released during the flood?

0.78%

Step-by-step explanation:

a) How much water was released during the flood?

The first step would be to find out how many seconds are in a week

60 seconds = 1 minute

60 minutes = 1 hour

24 hours = 1 day

7 days = 1 week

Hence, the number of seconds in a week =

1 week × (7 days/1 week)× (24 hours/1 day )×( 60 minutes/1 hour) ×( 60 seconds/1 minute)

= 604800 seconds

Therefore, the quantity of water released per week =

604800 seconds × 24,600 cubic feet per second

= 14,878,080,000 cubic feet or 14,878,080,000ft³

b) What percentage of the dam was released during the flood?

This is calculated as quantity released during the week ÷ Quantity of water in the dam × 100%

Quantity of water released during the flood in a week = 14,878,080,000 cubic feet

Quantity of water in the dam= 1,900,000,000,000 cubic feet of water

Percentage of the dam released during the flood =

14,878,080,000 cubic feet ÷ 1,900,000,000,000 × 100

= 0.7830568421%

Approximately = 0.78%

7 0

3 years ago