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statuscvo [17]
3 years ago
11

Solve each inequality. Graph the solution on a number line.

Mathematics
1 answer:
Kamila [148]3 years ago
6 0

Step-by-step explanation:

<u>Step 1:  Find the solution for the first one</u>

4x > -36

4x / 4 > -36 / 4

x > -9 ← Solution

<u>Step 2:  Find the solution for the second one</u>

<u />7u\le-49

7y/7\le-49/7

y \le -7 ← Solution

<u>Step 3:  Find the solution for the third one</u>

-5m \ge 15

-5m / -5 \ge 15 / -5

m \le -3 ← Solution

<u>Step 4:  Find the solution for the fourth one</u>

-2p > -3

-2p / -2 > -3 / -2

p < 1.5 ← Solution

<u>Step 5:  Find the solution for the fifth one</u>

45 \le - 10r

45 / -10 \le -10r / -10

-4.5 \ge r ← Solution

<u>Step 6:  Find the solution for the sixth one</u>

<u />-66 \ge -11t

-66 / -11 \ge -11t / -11

6 \le t ← Solution

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X^2=7^2+8^2-2(7)(8)(cos32)
Natasha_Volkova [10]

Answer:

x ≈4.244833711

Step-by-step explanation:

x^2=7^2+8^2-2(7)(8)(cos32)

Determine the powers

x^2=49+64-2(7)(8)(cos32)

Multiply from left to right

x^2 = 49+64 - 112cos32

x^2 = 49+64 - 94.98138677

Add and subtract

x^2 =113-94.98138677

x^2 = 18.01861323

Take the square root of each side

sqrt(x^2) = sqrt(18.01861323)

x = sqrt(18.01861323)

x ≈4.244833711

x^2 =113

3 0
3 years ago
1. y-23=55 2. x-14= -8
leva [86]

Answer:

1. y = 32

2. x = 6

3. -33 = n

4. a = -15.6

Step-by-step explanation:

1.

y-23=55

 +23  +23          (23 cancels)

y = 32

2.

x - 14 = -8

 +14      +14           (-14 cancels)

   x = 6

3.

-15 = n + 18

    -18       -18          (18 cancels)

    -33 = n

4.

18.3 + a = 2.7

-18.3        -18.3        (18.3 cancels)

         a = -15.6

8 0
3 years ago
Type your answer into the box. X 30° Calculate the size of angle x. angle x =​
andrezito [222]

Answer:

60°

Step-by-step explanation:

90°+30°=120°

180°_120°=60°

4 0
3 years ago
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PSYCHO15rus [73]

Answer:

Nominal.

Step-by-step explanation:

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3 years ago
J={x|x is an integer and x&gt;-1}
Digiron [165]
The sentence reads:
J equals the value of x such that x is an integer AND x is greater than -1.

Translated to English, we can say J is an integer which is zero or positive, or in other words, J is a non-negative integer.
8 0
3 years ago
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