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2 years ago

|-2+k|< or equal to 8 Solve the inequality, show the solution step by step

Mathematics

1 answer:

lina2011 [118]2 years ago

6 0

Answer:

k ≤ 10 or k ≤ -6

Step-by-step explanation:

| -2 + k | ≤ 8

-2 + k ≤ 8

k ≤ 10

-2 + k ≤ -8

k ≤ -6

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What is 10+10/10? Please Help

Andreyy89

Answer:

Step-by-step explanation:

10+1=11

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2 years ago

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Gnoma [55]

The answer is 8 and heres why:

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2 years ago

Francis is getting new carpet tiles in his living room and den. His living room and den are connected. He needs to figure out ho

Anna007 [38]

Area of den =8x3 = 24ft²
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3 years ago

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A home gardener estimates that 18 apple trees will produce an average yield of 80 apples per tree. But because of the size of th

aliina [53]

19 trees should be planted to maximize the total

<h3>How many trees should be planted to maximize the total</h3>

From the question, we have the following parameters:

Number of apples, x = 18

Yield, f(x) = 80 per tree

When the number of apple trees is increased (say by x).

We have:

Trees = 18 + x

The yield decreases by four apples per tree.

So, we have

Yield = 80 - 4x

So, the profit function is

P(x) = Apples * Yield

This gives

P(x) = (18 + x) *(80 - 4x)

Expand the bracket

P(x) = 1440 - 72x + 80x - 4x^2

Differentiate the function

P'(x) = 0 - 72 + 80 - 8x

Evaluate the like terms

P'(x) = 8 - 8x

Set P'(x) to 0

8 - 8x = 0

Divide through by 8

1 - x = 0

Solve for x

x = 1

Recall that:

Trees = 18 + x

So, we have

Trees = 18 + 1

Evaluate

Trees = 19

Hence, 19 trees should be planted to maximize the total

Read more about quadratic functions at:

brainly.com/question/12120831

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8 months ago

1) A cyclist travels a distance of 90 miles in 5 hours. What

Nostrana [21]

Answer:

Step-by-step explanation: <u>Speed</u> is distance an object travelled per unit time.

It is represented by letter v and can assume various units.

1) $v=\frac{distance}{time}=\frac{d}{t}$

$v=\frac{90}{5}$

v = 18 miles per hour

Her average speed is 18 mph.

2) Rearraging formula for distance:

d = v.t

d = 70 * 4

d = 280 miles

You would travel 280 miles.

3) $v=\frac{d}{t}$

$v=\frac{315}{6}$

v = 52.5 mph

My average speed is 52.5 mph.

4) Rearranging formula to determine time:

$t=\frac{d}{v}$

$t=\frac{210}{90}$

t = 2.34 hours

It will take 2 hours and half to arrive in Leeds. So, we will be expected to arrive at 12:04.

5) The unit change but the way of calculating time is the same.

$t=\frac{2000}{4}$

t = 500 s

or t = 8.34 minutes

It will take, for an athlete to run 2000m, 8.34 minutes.

6) a) All units must match, so for a speed in mph:

45 minutes is 0.75 hours. Total time is 8.75 hours.

$v=\frac{420}{8.75}$

v = 560 mph

The average speed is 560 mph.

b) $t=\frac{d}{v}$

$t=\frac{420}{63}$

t = 6.67 hours

Sam will take 6.67 hours to covered the distance.

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2 years ago