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Klio2033 [76]
3 years ago
7

Benjamin solved the following equation: 4x − 2x + 8 = 6(x + 4) Step Work Justification 1 4x − 2x + 8 = 6x + 24 Combine like term

s 2 2x + 8 = 6x + 24 Combine like terms 3 −4x + 8 = 24 Subtraction property of equality 4 −4x = 16 Subtraction property of equality 5 x = −4 Division property of equality Which step has an incorrect justification?
Mathematics
1 answer:
Finger [1]3 years ago
3 0
For this case we have the following expression:
 4x - 2x + 8 = 6 (x + 4)
 The first step is:
 4x - 2x + 8 = 6x + 24
 The first step is, correct.
 However, the justification "Combine like terms" is NOT correct.
 The correct justification is:
 Distributive property of multiplication.
 Answer:
 
A step that has an incorrect justification is:
 
Step 1
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This line has a slope<br> of -3 and passes<br> through the point<br> (4, -10)
ANEK [815]

Answer:

Step-by-step explanation:

y= mx+c

-10= -3 x 4 +c

-10= -12 +c

c= 2

then, y= -3x+2 would be the answer, if you were wanting the equation of the line.

8 0
3 years ago
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ohn is interested in purchasing a multi-office building containing five offices. The current owner provides the following probab
Galina-37 [17]

Answer:

$28,875

Step-by-step explanation:

The given table is:

\left|\begin{array}{c|cccccc}$Number of Lease Offices&0&1&2&3&4&5\\$Probability&5/32&3/16&3/32&1/4&9/32&1/32\end{array}\right|

The expected probability is derived using the formula: \sum_{i=0}^{5}x_iP(x_i)

Therefore, for the given distribution,

Expected Probability

=(0*\frac{5}{32})+ (1*\frac{3}{16})+ (2*\frac{3}{32})+ (3*\frac{1}{4})+ (4*\frac{9}{32})+ (5*\frac{1}{32})\\=2.40625

If each yearly lease is $12,000

The Expected Yearly Lease for the Whole Building=2.40625 X 12000

=$28,875

4 0
3 years ago
BEST ANSWER GETS BRAINLIEST
Alexandra [31]

Answer:

1. The speed of the truck, S = D/T.

2. The formula that connects D and T is: S = D/T.

3. The coefficient of variation, k, is the ratio of the standard deviation to the mean speed.

Step-by-step explanation:

a) The speed of a truck at a fixed speed is given as the distance covered by the truck divided by the time it takes the truck to cover the said distance.  This implies that speed is a function of distance and time.  However, this formula represents the mean speed.  There are variations in speed.

b) If the truck covers a distance of 60 kilometers, for example, under 3 hours, we can conclude that the speed is 20 kilometers per hour (60/3) or 20 km/hr.

4 0
3 years ago
Find the difference of 89,24,17
erma4kov [3.2K]
<span>Find the difference of 89,24,17 
</span>and what

8 0
4 years ago
Please can someone do this for me? thanks alot x
Nimfa-mama [501]

Answer:

<em>Learning Objective</em>: Use the mean and range to <u>compare</u> the spread and averages.

a) Sarah Mean = 70.9, Katie Mean = 78.9

b) Sarah Range = 15, Katie Range = 25

c) Sentences

- The <u>mean</u> shows, on average, Sarah was 8 seconds quicker than Katie.

- The <u>range</u> shows that Sarah was more consistent with her times. Katie had a larger spread of times which shows she was less consistent.

Step-by-step explanation:

Given:

Sarah's Data Set:

  • 79, 70, 68, 75, 69, 64, 69, 75, 64, 76

Katie's Data Set:

  • 79, 79, 76, 81, 89, 76, 64, 85, 82, 78

To Find:

  • The mean and range of both data sets separately.

Work:

The mean of a data set is commonly known as the average. You find the mean by taking the sum of all the data values and dividing that sum by the total number of data values. The formula for the mean of a population is \mu = \frac{{\sum}x}{N}.

The formula for the mean of a sample is \bar{x} = \frac{{\sum}x}{n}.

Both of these formulas use the same mathematical process: find the sum of the data values and divide by the total. For the data values given above, the solution is: \frac{709}{10} = 70.9

Therefore, the mean of Sarah's data set is 70.9.

For Katie's Data Set, \frac{789}{10} = 78.9.

Therefore, the mean of Katie's data set is 78.9.

To fill in the summary, we have to use the data we just calculated.

That summary can be found in the answer section.

4 0
2 years ago
Read 2 more answers
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