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ArbitrLikvidat [17]
2 years ago
15

Step 1: –10 + 8x < 6x – 4 Step 2: –10 < –2x – 4 Step 3: –6 < –2x Step 4: ________ What is the final step in solving the

inequality –2(5 – 4x) < 6x – 4?
Mathematics
2 answers:
Tamiku [17]2 years ago
8 0

Given:

The inequality is

-10+8x

To find:

The missing step in solving the given inequality.

Solution:

Step 1: The given equation.

-10+8x

Step 2: Subtract 8x from both sides.

-10+8x-8x

-10

Step 3: Add 4 on both sides.

-10+4

-6

Step 4: Divide both sides by -2 and change the sign of inequity as we divide the inequality by a negative number.

\dfrac{-6}{-2}>\dfrac{-2x}{-2}

3>x

Therefore, the missing step is 3>x.

eduard2 years ago
8 0

Answer:

<h2>c. x<3</h2>

Step-by-step explanation:

on edg. :)

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Among 21- to 25-year-olds, 29% say they have driven while under the influence of alcohol. Suppose that three 21- to 25-year-olds
Vilka [71]

Answer:

0.6421

Step-by-step explanation:

In this case we have 3 trials and we have 2 options for each one. The driver has or hasn't been under alcohol influence. The probability that the driver has is 0.29 and the probabiility that the driver hasn't is 1 - 0.29 = 0.71

each trial is independent because we are assuming that the population of drivers in between 21 and 25 years old is very big.

The probability that one of them was under alcohol influence can be found by finding the probability that non of them was under alcohol influence because:

1 = p(x = 0) + p(x ≥ 1)

p(x ≥ 1) = 1 - p(0)

The probability that none of them was under alcohol influence is going to be:

0.71×0.71×0.71 = 0.3579

The probability of finding at least one driver that has been under alcohol influence is:

0.6421

4 0
2 years ago
Draw a double number line to show that 6 out of 25 M&amp;Ms are green then use it to find what percent are green
Talja [164]

Answer:

Egg

Step-by-step explanation:

eggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggegg

4 0
2 years ago
According to the Rational Root Theorem, which could be a factor of the polynomial f(x) = 60x4 + 86x3 – 46x2 – 43x + 8?
kaheart [24]
<span> If P(x) is a polynomial with integer coefficients and if is a zero of P(x) ( P( ) = 0 ), then p is a factor of the constant term of P(x) and q is a factor of the leading coefficient of P(x) .

</span><span>A. x – 6
</span><span>60(6)^4 + 86(6)^3 – 46(6)^2 – 43(6) + 8 = 94430
</span><span>
B. 5x – 8
</span>60(8/5)^4 + 86(8/5)^3 – 46(8/5)^2 – 43(8/5) + 8 = 566.912<span>

C. 6x – 1
</span>60(1/6)^4 + 86(1/6)^3 – 46(1/6)^2 – 43(1/6) + 8 = 0 -------> ANSWER
<span>
D. 8x + 5
</span>60(-5/8)^4 + 86(-5/8)^3 – 46(-5/8)^2 – 43(-5/8) + 8 = 5.07
3 0
2 years ago
Read 2 more answers
One column of numbers consists of 61, 24, and 47. When the digits of the numbers are added together, the result is 6 + 1 + 2 + 4
ololo11 [35]
The question is incomplete because it must content a list of choices to select the right one.

Any way, a conclusion that you can make, and that is a common one for this kind of questions, is about whether the sum of the numbers of the second column may or not be the same sum of the numbers of the first column.

The condition for the two sums be the same is that when the digits of the second column are added together the result be the same obtained for the sum of the digits of the first column. In this case that is 6.

So, the possible answer is:

<span>If the end result from the second column is not 6, then the sum of the numbers in the first column is not equal to the sum of the numbers in the second column.</span>
5 0
2 years ago
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Which triangle defined by three points on the coordinate plane is congruent with the triangle illustrated, and why?
HACTEHA [7]
The triangle defined by three points on the coordinate plane is congruent with the triangle illustrated:

C) (4,2); (8,2); (4,8) because the corresponding pairs of sides and corresponding pairs of angles are congruent. 

If we plot these points we can observe that they are congruent, we should also solve for the distance of each point between each other to conclude their congruency. 
4 0
2 years ago
Read 2 more answers
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