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3 years ago

-5x-12>6x-4 Solve the inequality and give the answer in interval notation.

Mathematics

1 answer:

lora16 [44]3 years ago

7 0

-5x-12>6x-4

To Solve the inequality we need to get x alone

-5x-12>6x-4

first we remove -12, for that we add 12 on both sides

-5x-12+12>6x-4+12

-5x > 6x +8

Now subtract 6x from both sides

-5x -6x> 6x-6x +8

-11x > 8

Divide by -11. when we divide by -11 we flip the inequality . so > becomes <

$x < -\frac{8}{11}$

We need to give the answer in interval notation.

x is less than -8/11 so x value starts from -8/1 and goes to -infinity(left)

So interval notation is (-∞, $-\frac{8}{11}$ )

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3 years ago

Micah is watching a TV program that is 2 hours long during the program there are six commercials that are each 90 sec. How many

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Answer:

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step 1

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3 years ago

Select the correct answer

lora16 [44]

Answer:

Data set 3 has the highest IQR, so the correct option is {13,17,12,21, 18,20}

Step-by-step explanation:

The question is:

Which data set has the greatest spread for the middle 50% of its data

We have given the data sets:

{18,13,22, 17, 21, 24}

{17,19,22,26,17,14}

{13,17,12,21, 18,20}

{18,21,16,22,24,15}

To find the greatest spread for the middle we need to find the IQR for all the data sets and check which one is highest.

So,

For the first set: 22-17 = 5

For the second: 22-17 = 5

For the third set = 20-13 = 7

For the fourth set = 22-16 = 6

Since data set 3 has the highest IQR, so the correct option is {13,17,12,21, 18,20} ....

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3 years ago

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Musya8 [376]

Answer:

The correct answer is B) - 1/6

Step-by-step explanation:

To find the answer, simply subtract two consecutive values of f(x). Any 2 will give you the same answer.

49/6 - 25/3

49/6 - 50/6

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3 years ago