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Olenka [21]
3 years ago
14

A math class is having a discussion on how to determine if the expressions 4 x minus x + 5 and 8 minus 3 x minus 3 are equivalen

t using substitution. The class has suggested four different methods. Which describes the correct method?
Mathematics
2 answers:
irga5000 [103]3 years ago
4 0

Answer: blueface baby

Step-by-step explanation:

kondor19780726 [428]3 years ago
3 0

Answer:

Both expressions should be evaluated with one value. If the final values of the expressions are the same, then the two expressions must be equivalent.  

Step-by-step explanation:

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Graph the following inequality on the number line above. 3x < 12
shtirl [24]
We need to isolate x by diving 3 on both sides and you get x<4. To graph this, put an open circle around 4 (because 4 cannot be one of the solutions) and draw an arrow going left because x can be anything below 4
4 0
3 years ago
Yoko needs 300 copies of her resume printed. Dakota printing charges 19.50$ for the first 200 copies and 9$ for every 100 additi
Leokris [45]

Answer:

A. c(r)=$19.5 if r < 2

c(r)=$19.5+(r-2) ($9) (1.045) if r ≥ 2

B. $29.78

Step-by-step explanation:

A. Based on the information given if we are to express the cost of the resumes which is c(r) algebraically as a piecewise function what we would have will be:

c(r)=$19.5 when r represent an INTERGER and is less than 2

c(r)=$19.5+(r-2) ($9) (1+0.045)

c(r)=$19.5+(r-2) ($9) (1.045) when r represent an INTERGER and is greater than 2

Therefore to express the cost of the resumes c(r) algebraically as a piecewise function will be: c(r)=$19.5 if r < 2

c(r)=$19.5+(r-2) ($9) (1.045) if r ≥ 2

B. Calculation for How much will 300 copies cost, including a sales tax of 4 1/2%

Cost of 300 copies=($19.5+$9)+($19.5+$9) (0.045)

Cost of 300 copies=$28.5+$28.5(0.045)

Cost of 300 copies=$28.50+$1.28

Cost of 300 copies=$29.78

Therefore How much will 300 copies cost, including a sales tax of 4 1/2% will be $29.78

7 0
3 years ago
How to put 26.23 in scientific notation
Maslowich
The scientific notation is 2.623•10 to the power of one

The scientific e notation is 2.623e1

The decimal notation is 26.23

Hope this helps
6 0
3 years ago
Please help with multiple choice question
Volgvan

Answer:

D:   {9, 21, 33}

Step-by-step explanation:

Ken worked 2, 8 and 14 hours on 3 separate days.

For working 2 hours, his earnings were f(2) = 2(2) + 5, or 9;

For working 8 hours, his earnings were f(28) = 2(8) + 5, or 21; and

For working 14 hours, his earnings were f(14) = 2(14) + 5, or 33

Thus, the range of this function for the days given is {9, 21, 33} (Answer D)

7 0
3 years ago
Graph the image of the given triangle under a dilation with a scale factor of −2 and center of dilation (0, 0) .
Ronch [10]

To dilate an object means to enlarge or reduce the size of the object. The scale factor will determine how much larger or smaller the object will become.  If this factor is greater than 1, the object will increase in size. Otherwise, if the factor is less than 1, the object will decrease in size. So, the dilated object will be similar to its original. On the other hand, when corresponding points of the original and dilated figures are connected by straight lines, the center of dilation is the point where all the lines meet. In this problem, the center is (0, 0). When the center is the origin we need to multiply all the original coordinates of the object by the scale factor given. So:


A(-4, 1) \rightarrow A'=-2(-4,1) \rightarrow A'(8,-2) \\ \\ B(-3, -4) \rightarrow B'=-2(-3,-4) \rightarrow B'(6,8) \\ \\ C(-2, -2) \rightarrow C'=-2(-2,-2) \rightarrow C'(4,4)


So, the graph of the dilated triangle is shown in the Figure below

8 0
3 years ago
Read 2 more answers
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