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aniked [119]
2 years ago
11

Solve the linear inequality -17x+2<-10x-19

Mathematics
1 answer:
Marizza181 [45]2 years ago
8 0

Answer:

x > 3

Step-by-step explanation:

-17x + 2 < -10x - 19

_____________

.Subtract 2 from both sides.

-17x + 2 - 2 < -10x - 19 - 2

____________________

.Simplify.

-17x < -10x - 21

__________________

.Add 10x to both sides.

-17x + 10x < -10x - 21 + 10x

____________________

.Simplify.

-7x < -21

_________________

.Multiply both sides by -1 (reverse the inequality).

(-7x)(-1) > (-21)(-1)

______________________

.Simplify.

7x > 21

_______________________

.Divide both sides by 7.

7x/7 > 21/7

_____________________

.Simplify.

x > 3

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Decimals from 7.0 to 8.4 with an interval of 0.2 between each pair of decimals
Vitek1552 [10]

Decimals from 7.0 to 8.4 with an interval of 0.2 between each pair of decimals

We start with 7.0  and keep adding 0.2 till we get 8.4

7.0 + 0.2 = 7.2

7.2 + 0.2 = 7.4

7.4 + 0.2 = 7.6

7.6 + 0.2 = 7.8

7.8 + 0.2 = 8.0

8.0 + 0.2 = 8.2

8.2 + 0.2 = 8.4

So, the decimals from 7.0 to 8.4 with an interval of 0.2 are

7.2, 7.4, 7.6, 7.8, 8.0, 8.2

3 0
3 years ago
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When using statistics in a speech, you should usually Group of answer choices manipulate the statistics to make your point. cite
NARA [144]

Answer:

Avoid Using too many statistics

Step-by-step explanation:

when a speaker is giving a speech, the listeners prefer main points to hearing too much of statistics. Too many statistics bore the audience and sometimes divert their attentions from the crux of the speech. If statistics are to be given, they must be clearly expressed and the source should be clearly stated.

Numbers that are of large decimal points can be rounded off so as not to confuse the audience and to make them grasp the main idea.

3 0
3 years ago
Find cot theta if 180° &lt; theta &lt; 270° and cos theta = - sqrt 3/2
avanturin [10]

Answer:

cot theta = -√3

Step-by-step explanation:

we are given that  cos theta = - √3/2 within the range 180° < theta < 270° and

since cos theta = adj/hyp

adj = - √3

hyp = 2

Get the opposite using the pythagoras theorem

hyp^2 = opp^2 + adj^2

2² = opp² + (-√3)²

4 = opp² + 3

opp² = 4-3

opp² = 1

opp = 1

tan theta = opp/adj

tan theta = - 1/√3

Recall that cot theta = 1/tan theta

cot theta = 1/(-1/√3)

cot theta = -√3

8 0
3 years ago
Which sequence follows the rule an =an–1 + 7?
Akimi4 [234]

Answer:

A

Step-by-step explanation:

using the rule : a_{n} = a_{n-1} + 7

sequence A with a₁ = 11

a₂ = a₁ + 7 = 11 + 7 = 18

a₃ = a₂ + 7 = 18 + 7 = 25

a₄ = a₃ + 7 = 25 + 7 = 32

sequence A is generated using the rule

sequence B with a₁ = 17

a₂ = a₁ + 7 = 17 + 7 = 24

a₃ = a₂ + 7 = 24 + 7 = 31

a₄ = a₃ + 7 = 31 + 7 = 38

sequence B is not generated using the rule

sequence C with a₁ = - 15

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sequence C is not generated using the rule

sequence D with a₁ = - 9

a₂ = a₁ + 7 = - 9 + 7 = - 2

a₃ = a₂ + 7 = - 2 + 7 = 5

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sequence D is not generated using the rule



7 0
3 years ago
Please I need help !!
kicyunya [14]

Answer:

y = -1x + 1

Step-by-step explanation:

6 0
3 years ago
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