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Alchen [17]
3 years ago
11

Solve the inequality.x/3-x-1/2≥1 a. x≤-3 b. x≥-3 c. x≤3 d. x≥3​

Mathematics
1 answer:
Harrizon [31]3 years ago
4 0

Answer:

x ≤-9/4

Step-by-step explanation:

x/3-x-1/2≥1

Multiply each side by 6 to get rid of the fractions

6(x/3-x-1/2)≥1*6

2x -6x -3≥6

Combine like terms

-4x-3≥6

Add 3 to each side

-4x-3+3≥6+3

-4x ≥9

Divide each side by -4, remembering to flip the inequality

-4x/-4 ≤9/-4

x ≤-9/4

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Find the missing side. round to the nearest tenth.
horrorfan [7]

Answer:

24) x = 9.2

25) x = 30.8

Step-by-step explanation:

Given

See attachment for triangles

Solving (24)

To solve for x, we make use of cosine formula

i.e.

cos(40) = adjacent ÷ hypotenuse

So, we have:

cos(40) = x ÷ 12

Multiply both sides by 12

12 cos(40) = x

12 * 0.7660 = x

x = 9.2

Solving (25)

To solve for x, we make use of sine formula

i.e.

sin(25) = opposite ÷ hypotenuse

So, we have:

sin(25) = 13 ÷ x

Multiply both sides by

x sin(25) = 13

Divide by sin(25)

x = 13 ÷ sin(25)

Using a calculator

x = 30.8

5 0
3 years ago
What is the value of the 30th term in the following arithmetic sequence 12,6,0,-6
satela [25.4K]
<span>arithmetic sequence 12,6,0,-6

</span>\text {General Sequence : } T_n = 18 - 6n
<span>
To find 30th term

</span>t_{30} = 18 - 6(30)

t_{30} = -162<span>

----------------------------------------
Answer: 30th term is -162
</span>----------------------------------------
7 0
4 years ago
Read 2 more answers
Pogo competitors paid $9.60 for six bottles of energy drink later on they paid $17.60 for 11 bottles of energy drink how much di
snow_lady [41]
9.60 divided by 6 is 1.60
17.60 divided by 11 is 1.60
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8 0
3 years ago
Which ordered pair is generated from the equation shown below?
Sveta_85 [38]

Answer:

A

Step-by-step explanation:

let's try A. 3(3)+2=9+2=11

11=11

So A is right

7 0
3 years ago
Read 2 more answers
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kolbaska11 [484]

Answer:

\sqrt{74}, or approximately 8.6

Step-by-step explanation:

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3 0
3 years ago
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