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qwelly [4]
3 years ago
15

A party planner is preparing gift bags for an event. She has purchased a large box of individually wrapped chocolates to divide

equally into each gift bag. Which measure provides the best information to the party planner?
bags per chocolate
chocolates per party
chocolates per bag
bags per person
Mathematics
1 answer:
LenKa [72]3 years ago
5 0
The best answer best on the information provided would be chocolates per bag.
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Which equation is not a linear equation? Question options: a) –4v + 2w = 7 b) x4= y c) x = -5 d) 2x + 3y = 5
Semmy [17]

Answer: Option b

x^4= y

Step-by-step explanation:

Linear equations have the following form:

a_1x^n + a_2y^m + a_3w^s + a_4v^h = b

Where the exponents n, m, s and h are always 0 or 1

To know which equations are nonlinear, identify among the options given, those that have exponents other than 1 or 0

Note that in option b) the exponent of the variable x is n = 4 therefore the equation is nonlinear

Finally the answer is the option b

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3 years ago
Select all operations under which the polynomials 5x - 1 and 3x - 10 are not closed.
sammy [17]
It's division.
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7 0
3 years ago
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}.

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