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larisa86 [58]
3 years ago
11

The possible values of x are given by x−3≥2 . What is the least possible value of 5x ?

Mathematics
2 answers:
Rufina [12.5K]3 years ago
8 0
X has to be higher than 1. 5-3 is 2, which is equal to two but not greater than. X cannot be less than 1. To show this in an inequality:

x\geq1
Zigmanuir [339]3 years ago
3 0

x-3\geq2 implies x \geq  3+2
hence x \geq 5.

this means x has smallest value 5.

THE SMALLEST VALUE OF 5X will thus be 5 * 5 = 25

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On Tuesday morning a school cafeteria served 16 gallons of orange juice during breakfast. How many cups are in 16 gallons?
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Answer:

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Step-by-step explanation:

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2 years ago
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If the values of the supplementary angles are 40 and 2x, what is the value of x? ANSWER QUICKLY PLS!​
Zolol [24]

Answer:

140°

Step-by-step explanation:

The value of supplement is 40 and X. We know that the sum of the sumplementary angles is 180. Therefore ,

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<h3><u>Hence </u><u>the</u><u> </u><u>value </u><u>of </u><u>x </u><u>is </u><u>1</u><u>4</u><u>0</u><u>°</u><u> </u><u>.</u></h3>
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3 years ago
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Leona [35]

Answer:

1 and 4 are correct. 2 and 3 are not.

Step-by-step explanation:

1.

When x = 0 where does the horse start?

y = 1.5*sin(0 + 0.5)*2*pi + 1.5

y = 1.5*sin(0.5*2pi) + 1.5

y = 1.5*sin(pi) + 1.5 But sin pi = 0

y = 0 + 1.5 So the horse is starting at the midpoint of it's travel.

2.

This one is a trick question. You can reason it without exact answers. At some point the sin(x + 0.5)*2pi will equal 1. When it does 1.5 * 1 + 1.5 = 3.0 At some other point sin(x + 0.5)*2pi = -1. When that happens the whole thing goes to 0. So the total of the distance traveled is 6 not three.

3.

You can figure this one out by letting x = 0.01 When it does then the value of the function is

y = 1.5*sin [(0.01 + 0.5)*2pi] + 1.5

y = 1.5*sin(0.51*2*pi) + 1.5

y = 1.5*sin(3.204424) + 1.5

y = 1.5*(- .0623) + 1.5

y = -0.9418 + 1.5

y = 1.4058 so it is going downward The value is getting smaller.

4.

The horse starts out in the middle of the pole. What  does x need to equal so that x + 0.5 = 1 ? And why 1. The answer to why 1 is that then the sine function will equal sin(2*pi)

That happens when x = 0.5 which is 1/2 a minute. If it takes 1/2 a minute to execute 1 complete cycle, then in 5 minutes the cycle will be executed 10 times. This one is correct.


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