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Aleksandr [31]
2 years ago
8

A student had gotten 66.5 over 70 what did that student get?

Mathematics
1 answer:
MariettaO [177]2 years ago
8 0
66.5 over 70 is the same as saying

66.5/70 which is

66.5 ÷ 70 = .95

Move the decimal 2 places to the right to convert to %

95%
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Please help with the attached question. Thanks
Mademuasel [1]

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}.

5 0
3 years ago
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spin [16.1K]

Answer:

-6/3

Step-by-step explanation:

Move down 6 from the top point.

Then move right 3 to the bottom point.

7 0
2 years ago
There are 7.55 grams of sugar in 5 servings of strawberries. How many grams of sugar are in a single serving of strawberries?
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Answer:

1.51

Step-by-step explanation:

Divide 7.55 by 5 and it equals 1.51

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The scale on a map says that 2 inches = 150 miles. If two cities are actually 325 miles apart, how many inches apart will they b
vodomira [7]
150/2= 75(that is the diff)
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Can someone help me with this question please ​
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