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2 years ago

Find the solution set of the inequality 8x−8≤−72.

Mathematics

1 answer:

Ierofanga [76]2 years ago

5 0

Answer:

x≤-8

Step-by-step explanation:

When solving 8x-8≤-72, first add 8 to both sides of the inequality.

This leaves you with 8x≤-64.

Divide both sides by 8: 8x/8 and -64/8

This leaves you with x≤-8 as your solution.

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1. Given the below sequence: -1, -3, -5, -7, . . . (a) What are the next 3 terms? (b) Is this an arithmetic or geometric sequenc

valentinak56 [21]

Answer:

(a) -7 , - 9 , - 11

(b) Arithmetic sequence

(d) -53

Step-by-step explanation:

(a) To find the next three terms , we must firs check if it is arithmetic sequence or a geometric sequence . For it to be an arithmetic sequence , there must be a common difference :

check :

-3 - (-1) = -5 - (-3) = -7 - (-5) = -2

This means that there is a common difference of -2 , which means it is an arithmetic sequence.

The next 3 terms we are to find are: 5th term , 6th term and 7th term.

$t_{5}$ = a + 4d

$t_{5}$ = - 1 + 4 ( -2 )

$t_{5}$ = -1 - 8

$t_{5}$ = - 9

6th term = a +5d

$t_{6}$ = -1 + 5(-2)

$t_{6}$ = -1 - 10

$t_{6}$ = - 11

$t_{7}$ = a + 6d

$t_{7}$ = -1 + 6 (-2)

$t_{7}$ = -1 - 12

$t_{7}$ = -13

Therefore : the next 3 terms are : -9 , -11 , - 13

(b) it is an arithmetic sequence because there is a common difference which is -2

(d) $t_{27}$ = a + 26d

$t_{27}$ = -1 + 26 ( -2 )

$t_{27}$ = -1 - 52

$t_{27}$ = - 53

5 0

2 years ago

Which best describes the complement of spinning any number less than 3?

tatuchka [14]

Answer:

The complement of spinning any number less than 3, is spinning a number equal to or greater than 3.

Explanation:

The complement of a subset is the subset of elements that are not in the given subset.

You must know which numbers the spinner has.

Assuming the spinner has the numbers 1, 2, 3, 4, the complement of spinning any number less than 3, is spinning a number that is not less than 3.

Then, that is spinning a number that is equal to or greater than 3.

The numbers that are equal to or greater than four, for a spinner that has the numbers 1, 2, 3, and 4 are 3 and 4.

Thus, the complement of spinning any number less than 3 is spinning a three or a four.

8 0

2 years ago

Data management: Find n if C ( n+ 2 , 2 ) = 36

Lana71 [14]

Please, Karla, explain what "C" and "n" represent. Are you talking about combinations (for example, n+2 objects taken n at a time? Or is C some kind of function? I don't quite see the relationship of this problem to 'data management.'

3 0

3 years ago

1-cos^2 A / sec^2 A - tan^2 A

tiny-mole [99]

I hope this helps you

✔cos^2A+sin^2A=1

✔1-cos^2A=sin^2A

✔cos2A=cos^2A-sin^2A

✔sin2A=2.sinA.cosA

secA=1/cosA

tgA=sinA/cosA

sin^2A/1/cos^2A-sin^2A/cos^2A

sin^2A.cos^2A/cos2A

2.sin^2A.cos^2A/cos2A

sin2A.2.sin2A/cos2A

tg2A.2.sin2A

6 0

2 years ago

What is the slope of the equation 2x-5y=10

VikaD [51]

Using the slope-intercept form, y=mx + b to find the slope I found that correct answer is 2/5.

6 0

2 years ago