use the function rule, y=2x +5, to find the values of y when x=1,2,3,and 4. write the answers as ordered pairs that would be used to graph the function please show work

Answers

Answer 1

Answer: y = 2x + 5

x = 1

Replace x with 1, and evaluate the right side.

y = 2 * 1 + 5 = 2 + 5 = 7

Ordered pair: (1, 7)

x = 2

Replace x with 2, and evaluate the right side.

y = 2 * 2 + 5 = 4 + 5 = 9

Ordered pair: (2, 9)

x = 3

Replace x with 3, and evaluate the right side.

y = 2 * 3 + 5 = 6 + 5 = 11

Ordered pair: (3, 11)

x = 4

Replace x with 4, and evaluate the right side.

y = 2 * 4 + 5 = 8 + 5 = 13

Ordered pair: (4, 13)

The 4 ordered pairs are: (1, 7), (2, 9), (3, 11), (4, 13)

Answer 2

Answer:
$y = 2(1) + 5$
y=2+5=7. (1,7)

$2(3) + 5$
y=6+5= 11. (3,11)

$2(2) + 5$
y=4+5=9. (2,9)

$2(4) + 5$
y=8+5=13. (4,13)

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How do you solve the equation 2cos^2 - cosx = 0 for all solutions?

Answers

Answer:

π/2 and π/3

Step-by-step explanation:

Given the equation 2cos²x - cosx = 0, to find the solution to the equation, we will follow the following step.

let P = cosx

The equation becomes 2P²-P = 0

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Find the volume of a cylinder with radius of 4 meters and height of 12 meters?

Answers

Answer:

602.88 cubic meters

Step-by-step explanation:

volume(cylinder) = $\pi r^(2) h$

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Step-by-step explanation:

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Manufactured bolts can’t be too long or too short or they might not fit where they need to. Help determine which bolts will work and which won’t. Show your work for all steps.A machine makes bolts that are 12 mm long. The bolts are considered acceptable if they are within 0.2 mm of 12 mm.  
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What is the shortest the bolt can be and still be acceptable?

Answers

Answer:

longest: 12.2 mm
shortest: 11.8 mm

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The longest acceptable bolt is one that is longer than the mid-range value by an amount equal to the difference limit, 0.2 mm

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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