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Ierofanga [76]
3 years ago
11

Wyatt solved the following equation: x + one over two (6x − 4) = 6

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

Answer:

x = 2

Step-by-step explanation:

x + 1/2 (6x - 4) = 6

DISTRIBUTIVE PROPERTY (distribute the 1/2)

x + 3x - 2 = 6

SIMPLIFY (combine like terms)

4x - 2 = 6

solve for x by adding 2 to both sides

4x = 8

divide both sides by 4

x = 2

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The table shows the price p, for renting for a d days from a car rental company?
masha68 [24]

\bf \begin{array}{|cc|ll} \cline{1-2} \stackrel{Days}{d}&\stackrel{Price}{P}\\ \cline{1-2} 1&\$115\\ 2&\$150&\leftarrow 115+\stackrel{35(1)}{35}\\ 3&\$185&\leftarrow 115+\stackrel{35(2)}{35+35}\\ 4&\$220&\leftarrow 115+\stackrel{35(3)}{35+35+35}\\ d&&\leftarrow 115+35d\\ \cline{1-2} \end{array}~\hfill \stackrel{part~A}{P(d)=35d+115} \\\\\\ ~\hspace{34em}

part B)

the slope is always in a linear equation, the coefficient of the independent variable, in this case namely "35".

35 or 35/1  dollars/day means

for every passing day the car is rented out, the charge is $35, so if you rent the car "d" days, you'll be charged 35d.

7 0
3 years ago
Subtract the given function and indicate the domain of the difference
maxonik [38]

Answer:

The domain is x\in (-\infty,\infty).

Step-by-step explanation:

Given functions f(x)=x^2+3x+1 and g(x)=2x^2-4x-1

Subtract these two functions:

f(x)-g(x)\\ \\=(x^2+3x+1)-(2x^2-4x-1)\\ \\=x^2+3x+1-2x^2+4x+1\\ \\=(x^2-2x^2)+(3x+4x)+(1+1)\\ \\=-x^2+7x+2

Plot these difference on the coordinate plane (see attached diagram). This function is defined for all vlues of x, so the domain is x\in (-\infty,\infty).

6 0
3 years ago
If your current examination mean is 97.2 and you receive a 99 on the next examination, what effect will this have?
mr Goodwill [35]

If you have an average of 97.2 on your current exam and you get a 99 on your next exam, your average will increase.

  • Mean in mathematics is the sum (total) of all the values in a set of data, such as numbers or measurements, divided by the total number of values.

  • To find the average, sum all the values ​​in the set. Then divide the total by the number of values.

We have the current examination mean, xold = 97.2

Now, we receive,  x = 99 on the next examination, the new mean will be:

xnew = (xold + x)/N

xnew = (97.2+99)/2

xnew = 196.2/2

xnew = 98.1  

The new average is 98.1

98.1 > 97.2

So if you score 99 on your next exam, your average will increase.

Learn more about mean here

brainly.com/question/1136789

#SPJ4

3 0
1 year ago
Read 2 more answers
Is 6/5 closer to 1/2
Alecsey [184]

\frac{6}{5} =\quad 1.2

\frac{1}{2}= \quad 0.5

1.2 > 0.5

\frac{6}{5} > \frac{1}{2}

<h3><em>Hope I helped you!</em></h3><h3><em>Success!</em></h3>
5 0
2 years ago
Read 2 more answers
Please please help me out
levacccp [35]

Answer:

D. -18x-6

Step-by-step explanation:

The Distributive property is all you do is time -3 to both the 6 and the 2 and you will get your answer. -18x-6.

7 0
3 years ago
Read 2 more answers
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