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Vesna [10]
3 years ago
5

A T-shirt department store cost 7.50.the total cost in dollar of a T-shirt is givien by the function C(a)=7.5a

Mathematics
1 answer:
tigry1 [53]3 years ago
6 0

Given cost function C(a) = 7.5a, where a is the number of T-shirts.

Let us complete table.

We need to plug a=1,2,3,4 in above function to get the costs to complete the table.

For a =1

C(1)= 7.5(1) = 7.50

For a =2

C(2)= 7.5(2) = 15.00

For a =3

C(3)= 7.5(3) = 22.50

For a = 4

C(4)= 7.5(1) = 30.00

In order to find the common difference we need to find the diffrences of costs 15-7.50 = 7.50

22.50-15.00=7.50.

<h3>Therefore, common difference is 7.5.</h3>

a represents the number of T-shirts.

Domain of a is the numbers we can take for a.

So, we can take value for a as 0 or greater value.

Therefore, domain for a would be a is gerater than or equal to 0.

<h3>Domain : a≥0</h3>

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Oksana_A [137]
The examples of 50,000 written as an exponent are as follows (but not limited to):

500 * 10^2
50 * 10^3
5 * 10^4
0,5 * 10^5

Doublecheck (optional):

500 * 10^2 = 500 * 100 = 50,000
50 * 10^3 = 50 * 1000 = 50,000
5 * 10^4 = 5 * 10000 = 50,000
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2 years ago
Determine the product<br> (4.2x100). (5.7x100)
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Answer:

(4.2x100).(5.7x100) = 239.400

Step-by-step explanation:

We need to determine the product of (4.2x100).(5.7x100).

We know that when two numbers are multiplied together, the product is the same regardless of the order of the multiplicands. For that reason, we can multiply all together, and the result will be the same regardless of the order of the multiplicands:

Then:

(4.2x100).(5.7x100) = 4.2x100x5.7x100 = 420x570= 239.400

7 0
3 years ago
Be sure that polygon ABCD is not touching its image. Draw a line segment connecting point A and point AGH. Notice that intersect
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Answer:

The measure of the angle of intersection for   and  is 90°. As the line of reflection changes position, the angle measure stays the same.

Step-by-step explanation:

6 0
3 years ago
What is an equation of the line that passes through the point (8,-7)(8,−7) and is parallel to the line 5x+4y=165x+4y=16?
gizmo_the_mogwai [7]

Answer:

The equation of line that passes through the point (8,-7) and is parallel to the line 5x+4y=16 is  \mathbf{y=-\frac{5}{4}x+3}

Step-by-step explanation:

We need to write an equation of the line that passes through the point (8,-7) and is parallel to the line 5x+4y=16.

The equation will be of form y=mx+b where m is slope and b is y-intercept.

Finding slope of the line:

Since both the lines are parallel, and we know that parallel lines have same slope.

The slope of given line 5x+4y=16 can be found by writing in slope-intercept form y=mx+b

5x+4y=16\\4y=-5x+16\\y=-\frac{5}{4}x+16

Comparing with y=mx+b the slope m is: m=-\frac{5}{4}

So, the slope of required line is: m=-\frac{5}{4}

Now, finding y-intercept b

y-intercept can be found using slope m=-\frac{5}{4} and point (8,-7)

y=mx+b\\-7=-\frac{5}{4}(8)+b\\-7=-5(2)+b\\-7=-10+b\\b=-7+10\\b=3

So, we get y-intercept: b=3

Now, the equation of required line having slope m=-\frac{5}{4} and y-intercept b=3 is:

y=mx+b\\y=-\frac{5}{4}x+3

So, the equation of line that passes through the point (8,-7) and is parallel to the line 5x+4y=16 \mathbf{y=-\frac{5}{4}x+3}

4 0
2 years ago
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