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babunello [35]
3 years ago
6

What is the solution of 4x - 30 ≥ -3x + 12?

Mathematics
2 answers:
amid [387]3 years ago
4 0
First, let's add 30 to both sides:
4x - 30 +30 ≥ -3x + 12+30


4x ≥ -3x + 42

Now, let's add 3x to both sides
4x +3x ≥ -3x+3x + 42
7x ≥ 42

Let's divide both by 7:

x ≥ 6




Kipish [7]3 years ago
4 0
   4x - 30 ≥ -3x + 12
<u>+ 3x          + 3x        </u>
   7x - 30 ≥ 12
   <u>    + 30 + 30</u>
          <u>7x</u> ≥ <u>42</u>
           7      7
            x ≥ 6

The answer is (1). The solution set is (6, ∞).
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Write the expression in factored form s^2-20s-100
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Answer:

The factors of given expression are 10+10√2 and 10-10√2.

Step-by-step explanation:

We have given a quadratic expression.

s²-20s-100

We have to find factors of given expression.

We use quadratic formula to find factors.

x = (-b±√b²-4ac) / 2a

From given expression, a = 1 , b = -20 and c = -100

Putting values in above formula, we have

x = (-(-20)±√(-20)²-4(1)(-100) ) / 2(1)

x = (20±√400+400 ) / 2

x = (20±√800) /  2

x = (20± √400×2) / 2

x = (20±20√2) / 2

x = 10±10√2

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3 years ago
Help !!! please show work so i know how to do it :)))
satela [25.4K]

Answer:

70

Step-by-step explanation:

the red lines mean the two sides are equal

so its an isosceles triangle meaning the two angles other than the 40° one are equal

the inner angles of a triangle must add up to 180

so 180-40 = 2x

140 = 2x

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6 0
2 years ago
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A study has indicated that the sample size necessary to estimate the average electricity use by residential customers of a large
Zanzabum

Answer:

\sigma=547.1125

Step-by-step explanation:

-The margin of error is calculated using the formula:

ME=z_{\alpha/2}\times \frac{\sigma}{\sqrt{n}}\\\\

-We substitute the values, n=900 and ME=30 in the formula to solve for standard deviation:

ME=z_{\alpha/2}\times \frac{\sigma}{\sqrt{n}}\\\\\\30=1.645\times\frac{\sigma}{\sqrt{900}}\\\\\sigma=\frac{30^2}{1.645}\\\\=547.1125

Hence, the population standard deviation is 547.1125

7 0
3 years ago
A.1<br><br> B. 3<br><br> C. 4<br><br> D. 5<br><br> Note: l want answer true...please......;)
Ainat [17]
Hiya.
It would require 4 blocks, so it’s would be C.
5 0
3 years ago
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VLD [36.1K]

Answer:

10%

Step-by-step explanation:

10/100 = 1/10 = .1 = 10%

5 0
3 years ago
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