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2 years ago

Which ordered pair is a solution. There can be more than one.

Mathematics

1 answer:

marshall27 [118]2 years ago

6 0

Answer:

c (-2, -4) & d(-1 , 1)

Step-by-step explanation:

The ordered pair that are lying inside the shaded region will be the solution.

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Help please and thank you: The graph of f x = x2 − 2x − 3 is shown. Which of these describes the effect changing f x to f −2x wi

Lemur [1.5K]

Answer:

Option (C).

Step-by-step explanation:

Graphed function is,

f(x) = x² - 2x - 3

= x² - 2x + 1 - 1 - 3

= (x² - 2x + 1) - 4

= (x - 1)² - 4

f(-2x) = (-2x)² - 2(-2x) - 3

= 4x² + 4x - 3

= 4(x² + x) - 3

= 4[x² + 2(0.5)x + (0.5)²- (0.5)²] -3

= 4(x + 0.5)² - 1 - 3

= 4(x + 0.5)² - 4

= 4[(x - 1) + 1.5]² - 4

Therefore, parent function 'f' will be a horizontal shrink by 4 units and shifted 1.5 units to the left.

Option (C) will be the answer.

5 0

3 years ago

Write the equation of the line that passes through (2, 3) and is parallel to the line 12x – 5y = 2.

Alexeev081 [22]

   12x - 5y = 2
12x - 12x - 5y = -12x + 2
   -5y = -12x + 2
      -5 -5
      y = 2.4x - 0.4
   y - 3 = 2.4(x - 3)
   y - 3 = 2.4(x) - 2.4(3)
   y - 3 = 2.4x - 7.2
         + 3    + 3
      y = 2.4x - 4.2

3 0

3 years ago

How many miles per hour is 350 km/h?

Hitman42 [59]

350 hm/h is 217.48 Miles an hour

8 0

3 years ago

Mae Ling earns a weekly salary of $310 plus a 7.5% commission on sales at a gift shop. How much would she make in a work week if

Illusion [34]

Answer: 662.50 dollars

==========================================================

Explanation:

If she doesn't sell a single thing, she still earns the base weekly salary of $310. This is the smallest amount she can earn per week.

If she does make sales, then she'll earn an additional 0.075x dollars where x is the amount of sales made (the total value of the merchandise). The 0.075 is the decimal form of 7.5%

In total, she makes 0.075x+310 dollars per week. In this case, she sold x = 4700 dollars worth of goods, which means,

0.075x+310 = 0.075*4700+310 = 662.50

She earned 662.50 dollars for that week.

7 0

2 years ago

Read 2 more answers

1. Judy took $30 with her to spend on popcorn and drinks for herself and her friends at the movie theater. The price for each ba

Pavel [41]

Answer:

Step-by-step explanation:

The relationship between the number of popcorn and drinks is linear relationshipThe responses are;(a) Please find attached the required graph created with MS Excel(b) From the graph, we have that as the number of bags of popcorn Judy buys increases, the number of drinks decreases linearlyReasons:The given parameter are;Amount Judy took with her to spend on popcorn and drinks = $30Price of each bag of popcorn = $5Price of each drink = Half the price of a bag of popcorn∴ The price of each drink = (a) Let X represent the number of bags of popcorn Judy buys and let Y represent the number of drinks she buys, we have;5·X + 2.5·Y = 302.5·Y = 30 - 5·XWhich gives;Y = 12 - 2·XUsing the above equation, the graph of popcorn and drinks bought by Judy is plotted with MS Excel and attached here(b) The data in the graph are presented as followsThe point corresponding to the y-intercept is the point that gives the maximum number of drinks Judy can buy if she does not buy popcorn is 12 drinks. The number of drinks she can buy reduces by 2 for each bag of popcorn she buys, such that she can buy 6 bags of popcorn and no drinks which is the x-intercept.

3 0

2 years ago

Read 2 more answers