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evablogger [386]
3 years ago
14

Can you pllleeeassseee help me out?

Mathematics
1 answer:
Andru [333]3 years ago
8 0

1) Debbie has $93 saved up to buy a PS4 on Black Friday. On Black Friday the PS4 will cost $150 dollars, if Debbie babysits and earn two dollars everyday she babysits, how many days left does she have until she can buy the PS4?

2n+93=150

2n=150-93

2n=57

n=\frac{57}{2}

2) What does P equal? P stands for the amount of apples needed for a pie sale. We also need to find Q, which is how much peaches we'll need as well, because it is a peach and apple pie sale.

\frac{p}{10}= \frac{7}{q}  

p=\frac{7}{q} *10                    

p=\frac{70}{q}                      

-----------------------------------------

\frac{p}{10}= \frac{7}{q}

\frac{p}{10}q=7

\frac{pq}{10} =7

pq=7*10

pq=70

q=\frac{70}{p}

Hope this helps, have a BLESSED and wonderful day! :-)

-Cutipatutie ☺❀❤

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Answer:

Choice A) F(x) = 3\sqrt{x + 1}.

Step-by-step explanation:

What are the changes that would bring G(x) to F(x)?

  • Translate G(x) to the left by 1 unit, and
  • Stretch G(x) vertically (by a factor greater than 1.)

G(x) = \sqrt{x}. The choices of F(x) listed here are related to G(x):

  • Choice A) F(x) = 3\;G(x+1);
  • Choice B) F(x) = 3\;G(x-1);
  • Choice C) F(x) = -3\;G(x+1);
  • Choice D) F(x) = -3\;G(x-1).

The expression in the braces (for example x as in G(x)) is the independent variable.

To shift a function on a cartesian plane to the left by a units, add a to its independent variable. Think about how (x-a), which is to the left of x, will yield the same function value.

Conversely, to shift a function on a cartesian plane to the right by a units, subtract a from its independent variable.

For example, G(x+1) is 1 unit to the left of G(x). Conversely, G(x-1) is 1 unit to the right of G(x). The new function is to the left of G(x). Meaning that F(x) should should add 1 to (rather than subtract 1 from) the independent variable of G(x). That rules out choice B) and D).

  • Multiplying a function by a number that is greater than one will stretch its graph vertically.
  • Multiplying a function by a number that is between zero and one will compress its graph vertically.
  • Multiplying a function by a number that is between -1 and zero will flip its graph about the x-axis. Doing so will also compress the graph vertically.
  • Multiplying a function by a number that is less than -1 will flip its graph about the x-axis. Doing so will also stretch the graph vertically.

The graph of G(x) is stretched vertically. However, similarly to the graph of this graph G(x), the graph of F(x) increases as x increases. In other words, the graph of G(x) isn't flipped about the x-axis. G(x) should have been multiplied by a number that is greater than one. That rules out choice C) and D).

Overall, only choice A) meets the requirements.

Since the plot in the question also came with a couple of gridlines, see if the points (x, y)'s that are on the graph of F(x) fit into the expression y = F(x) = 3\sqrt{x - 1}.

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