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Cloud [144]
2 years ago
5

If two sweaters and four shirts cost $150, and four sweaters and three shirts cost $200, find the price of each shirt and each s

weater.
Mathematics
2 answers:
Tpy6a [65]2 years ago
5 0

Answer:

What the other guy said

Step-by-step explanation:

STALIN [3.7K]2 years ago
4 0

Answer:

shirt = $20

sweater = $35

Step-by-step explanation:

This question would be solved using simultaneous equation

Let the price of sweater be represented by a

Let the price of shirt be represented by b

The following equations can be derived from the question

2a + 4b = 150   equation 1

4a + 3b = 200   equation 2

Multiply equation 1 by 2

4a + 8b = 300    equation 3

Subtract equation 2 from 3

5b = 100

divide both sides of the equation by 5

b = 20

substitute for b in equation 1

2a + 4(20) = 150

2a + 80 = 150

collect like terms

2a = 150 - 80

2a = 70

divide both sides by 2

a = 35

Price of sweater = $35

Price of shirt = $20

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Find the average rate of change for f(x) = x2 − 3x − 10 from x = 4 to x = 6. A) 5 Reactivate B) 7 C) 9 Reactivate D) 11
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Option B is correct.

Step-by-step explanation:

We need to find the average rate of change for f(x)=x^2-3x-10 from x = 4 to x = 6

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Rate\,\,of\,\,change=\frac{f(b)-f(a)}{b-a}

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f(x)=x^2-3x-10\\f(6)=(6)^2-3(6)-10\\f(6)=36-18-10\\f(6)=36-28\\f(6)=8

Finding f(4):

f(x)=x^2-3x-10\\f(4)=(4)^2-3(4)-10\\f(4)=16-12-10\\f(4)=16-22\\f(4)=-6

Now Putting values:

Rate\,\,of\,\,change=\frac{f(b)-f(a)}{b-a}

Rate\,\,of\,\,change=\frac{8-(-6)}{6-4}\\Rate\,\,of\,\,change=\frac{8+6}{2}\\Rate\,\,of\,\,change=\frac{14}{2}\\Rate\,\,of\,\,change=7

So, Rate of change is 7

Option B is correct.

Keywords: Rate of Change

Learn more about Rate of Change at:

  • brainly.com/question/3071107
  • brainly.com/question/6436086
  • brainly.com/question/2485860

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