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stellarik [79]
3 years ago
15

What is the solution for y=0.5x+3.5 and y=-2/3x+1/3 shown on the graph

Mathematics
1 answer:
valentinak56 [21]3 years ago
3 0
In this item, we are given with a system of linear equation as written below.
   y = 0.5x + 3.5
   y = -2x/3 + 1/3

To determine the values of x and y, we use the substitution method. We substitute the expression for y from the first equation to that of the second equation so that the equation becomes.
 0.5x + 3.5 = -2x/3 + 1/3

Multiply the equation by 6.
 3x + 21 = -4x + 2
Transpose all the terms with variables to one side and the constants to the other.
 (3x + 4x) = 2 - 21
      7x = -19

Divide the equation by 7,
        x = -19/7

The value of y,
   y = (0.5)(-19/7) + 3.5 = 15/7

<em>ANSWER:</em>
<em>  x = -19/7</em>
<em>  y = 15/7</em>
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Sean and Kyle have 26 dollars between them. If Sean has 8 more dollars than Kyle, how much money does Kyle have, in dollars?
vredina [299]

Answer: 9$

Step-by-step explanation:

kyle has x dollars. Sean has x+8 dollars. They equal 26. 2x+8=26

2x=18

x=9

7 0
3 years ago
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The weight of an object on mars is about 2/5 its weight on earth. how much would an 80 1/2 pound dog weigh on mars?
Paladinen [302]
Look at this equation it should help.

5 0
3 years ago
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Please help with 32 and 33, thank you.
PtichkaEL [24]

Answer:

32. ∛((x-7)/4) = f^(-1)(x)

33. -10x - 9

Step-by-step explanation:

32. We want to switch f(x) and x, and then solve for f(x) to get the inverse.

x = 4f(x)³ + 7

subtract 7 from both sides

x -7 = 4f(x)³

divide both sides by 4

(x-7)/4 = f(x)³

cube root both sides

∛((x-7)/4) = f(x)

make f(x) f^(-1)(x) because this is now the inverse

∛((x-7)/4) = f^(-1)(x)

the second answer is correct

33. for composition, we can treat (f · g) (x) as attached picture (content filter!), so we plug g(x) into f(x). This results in

2(-5x-7) + 5

expand

-10x - 14 + 5

add

-10x - 9

the second answer is correct

4 0
3 years ago
A lender estimates the closing costs on a home loan will be 3% of the loan amount of $180,000. The actual closing costs are list
Anvisha [2.4K]

Based on the information provided, it can be inferred that the lender made an excellent estimate; was equal to actual closing costs (option A)

<h3>How do you know what the lender's estimate was? </h3>

Based on the information provided, the lender estimated that the closing cost is equal to 3% of the $ 180,000 loan. To calculate that value we must do the following operation:

  • $ 180,000 / 100 x 3% = $ 5,400.

Based on the above, the estimated closing cost for that loan is $ 5,400.

<h3>How to know the real cost of closing the loan? </h3>

To know the real cost of the loan closing we must add the following values:

  • Closing Cost Charge Loan origination $ 345
  • Title insurance $ 600
  • Attorney's fees $ 1,350
  • Appraisal $ 480
  • Inspection $ 550
  • Recording fees $ 175
  • Escrow $ 1,900

$ 1,900 + $ 175 +% 550 + $ 480 + $ 1,350 + $ 600 + $ 345 = $ 5,400.

According to the above, the lender made a very precise estimate because his calculation hit the exact value of the closing cost (option A)

Learn more about lender in: brainly.com/question/3268275

3 0
2 years ago
The perimeter of a rectangle is 24 cm. find the lengths of the sides of the rectangle giving the maximum area. enter the answers
Simora [160]
24=2*12
P=2*(l+L)
⇒ L+l=12
    ⇒ for a maximum area l=5, L=7
Area=5*7=35 

8 0
3 years ago
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