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1 year ago

Which table represents a linear functionWhich table represents a linear function

Mathematics

1 answer:

IceJOKER [234]1 year ago

6 0

The table that has a constant average rate of change represents a linear function.

<h3>What is the average rate of change of a function?</h3>

The average rate of change of a function is given by the change in the output of the function divided by the change in the input.

When this rate is constant, the function is said to be linear, hence the table that has a constant average rate of change represents a linear function.

More can be learned about linear functions at brainly.com/question/24808124

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The length of each side of a regular pentagon is increased by 8 inches, so the perimeter is now 65 inches. What is the original

evablogger [386]

Here as the Pentagon is regular so it's all sides will be of equal length . And if we assume It's each side be s , then it's perimeter is going to be (s+s+s+s+s) = 5s.And as here , each side is increased by 8 inches and then it's perimeter is 65 inches , so we got that it's side after increament is (s+8) inches and original length is s inches . And if it's each side is (s+8) inches , so it's perimeter will be 5(s+8) and as it's equal to 65 inches . So , 5(s+8) = 65

${:\implies \quad \sf 5(s+8)=65}$

${:\implies \quad \sf 5s+5\times 8=65}$

${:\implies \quad \sf 5s+40=65}$

${:\implies \quad \sf 5s=65-40}$

${:\implies \quad \sf 5s=25}$

${:\implies \quad \sf s=\dfrac{25}{5}=5}$

${:\implies \quad \bf \therefore \quad \underline{\underline{s=5\:\: Inches}}}$

As we assumed the original side to be s .

Hence, the original side's length 5 inches 

8 0

1 year ago

A roulette wheel has 38 slots. a gambler will play roulette 50 times, betting a dollar on four numbers each time. if one of thes

Keith_Richards [23]

For 1 play, the chance of gaining $8 is 4/38, while the chance of losing the $1 is 34/38. Therefore, the expected value is ($8)(4/38) + ($-1)(34/38) = $(-1/19). Over 50 plays, which are mutually independent of each other, we multiply the number of plays by the expected value to get $(-50/19) = $-2.63.

7 0

3 years ago

A fireman is heading towards a forest fire and needs to know how far away the fire is. The person in the fire tower can determin

hjlf

Answer: 3.82 miles

Step-by-step explanation:

According to the shown figure, we can imagine the scene as a right triangle, where the tower is located at the right angle, and the fireman and the forest fire located at each of the other two vertices.

So, since we are dealing with a right triangle we can use the Pithagorean Theorem, in order to find the distance from the fireman to the fire $d$ , which is also the hypotenuse.

$d^{2}= (2.1 miles)^{2} +(3.2 miles)^{2}$

$d=\sqrt{(2.1 miles)^{2} +(3.2 miles)^{2}}$

Finally:

$d=3.82 miles$

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3 years ago

Please help fast ASAP

ololo11 [35]

A is the answer because is quadrilateral is a four sided shape that can be congruent and a parallelogram is a four-sided plane rectilinear figure with opposite sides parallel.

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3 years ago

1. Solve: 6 yd. 9 ft. 4 in. x 2 =

valkas [14]

Answer:

Step-by-step explanation:

6*2 = 12

9*2 = 18

4*2 = 8

Answer is 12 yd. 18 ft. 8 in.

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2 years ago