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kaheart [24]
3 years ago
12

Which expression is equivalent to 3(x – 6) + 5(x – 4)? A. 8x – 10 B. 15x2 – 38x C. 8x – 38 D. 9x – 22

Mathematics
2 answers:
Paul [167]3 years ago
7 0

Answer:

C. 8x – 38

Step-by-step explanation:

he equation.

All the options have the parenthesis solves, with all the numbers distribute, so first, you need to do that.

3(x – 6) + 5(x – 4)=

(3*x) - (3*6) + (5*x) -(4*5)=

now, solve what you can

3*x=3x\\3*6=18\\5*x=5x\\4*5=20

And put it all together

3x - 18 + 5x - 20

You can link the X therms and the no X terms

(3x + 5x) =8x\\(-18 - 20) =-38

And the final equation is: 8x - 38

sesenic [268]3 years ago
3 0

The answer is C.

3(x-6)+5(x-4) = 3•x+3•-6 = 3x-18  and  5•x+5•-4 = 5x-20

3x-18+5x-20

3x+5x = 8x  and  -18+-20 = -38

<u>Which gives you...</u>

8x-38

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Your friend Michelle just graduated and has two job offers that she is considering. Both job offers pay the same, but JobA
just olya [345]

Money offered to Michelle per annum in Job A = $1700

Number of years she will work in job A = 5

Percentage of earnings per annum for her retirement plan = 6.60%

Money she will earn will be the simple interest at the end of 5 years.

We know that :

\color{plum}{ \tt{Simple \:  interest  =  \frac{Principle  \ \: \times  \: Rate  \:  \: \times \:  \:  Time}{100} }}

Principal = $1700

Rate = 6.60%

Time = 5 years

Which means :

=  \frac{1700 \times 6.60 \times 5}{100}

=  \frac{56100}{100}

= \color{plum}\$561

We also know that :

\color{plum}\tt \: Amount = Principal + Interest

Amount Michelle will earn at the end of 5 years for her retirement plan :

= 1700 + 561

=\color{plum}\bold{\$ 2261}

2261 can be rounded off to 2260.

Therefore, Michelle will earn <u>$2260</u> at the end of 5 years for her retirement plan.

5 0
3 years ago
Given the points below, are the two lines parallel, perpendicular, or neither?
Karo-lina-s [1.5K]

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Select all of the following tables which represent y as a function of x.x 5 10 11y 3 9 15x 5 10 11y 3 9 9x 5 10 10y 3 9 15
11Alexandr11 [23.1K]

Answer:

Table 1 and 2 represent a function

Step-by-step explanation:

Given

<em>Table 1</em>

x 5 10 11

y 3 9 15

<em></em>

<em>Table 2</em>

x 5 10 11

y 3 9 9

<em>Table 3</em>

x 5 10 10

y 3 9 15

Required

Determine which of the tables represent that y is a function of x

For a relation to be a function; the x values must be unique.

In other words, each x value must not be repeated;

Having said that;

Analyzing Table 1

<em>Table 1</em>

x 5 10 11

y 3 9 15

<em></em>

Note that the x rows are unique as no value were repeated;

Hence, Table 1 is a function

<em>Table 2</em>

x 5 10 11

y 3 9 9

Note that the x rows are unique as no value were repeated;

Hence, Table 2 is a function

<em>Table 3</em>

x 5 10 10

y 3 9 15

Note that the x rows are not unique because 10 was repeated twice;

Hence, Table 3 is not a function

7 0
3 years ago
What is the area of a cylindrical ring where the diameter of the cross section is 6.3 in and the center line has a length of 48
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Answer:

The area of cylinder 949.536 in²

Step-by-step explanation:

Points to remember

Curved surface area of cylinder = 2πrh

Where r - radius of cylinder

h - Height of cylinder

<u>To find the area of cylinder</u>

Here r = diameter/2 = 6.3/2 = 3.15 in

h = 48 in

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= 949.536 in²

Therefore area of cylinder 949.536 in²

4 0
3 years ago
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