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victus00 [196]
3 years ago
11

Given , which of the following describes the boundary line and shading for the second inequality in the system?

Mathematics
1 answer:
ollegr [7]3 years ago
7 0

Answer:

dashed line, shade above

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Which of the following describes the correct process for solving the equation 3x + 6 = 21 and arrives at the correct solution?
yuradex [85]
It would be the last option. I just worked the problem out and figured it out. I hope this helped! (:

3 0
2 years ago
Explain why the intercepts, on their own, cannot be used to graph the relation 5x+9y= 0.
goldfiish [28.3K]
5x + 9y = 0

to find the x int, sub in 0 for y and solve for x
5x + 9(0) = 0
5x = 0
x = 0

to find the y int, sub in 0 for x and solve for y
5(0) + 9y = 0
9y = 0
y = 0

the reason u cannot use just the intercepts is because the line goes through the origin (0,0)....The intercepts coincide giving u only 1 point...and that is not enough to graph a line
3 0
2 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}.

5 0
3 years ago
Read 2 more answers
Solve the rational inequality x-2/x + x+2/x+3 < 3/2 represent your answer using a number line and using interval notation
Firdavs [7]

Answer and explanation:

To solve the inequality x-2/x + x+2/x+3 < 3/2 we have to first simplify the expressions on the left side of the inequality sign. And so we multiply x by the expressions on the left side to eliminate fractions:

=x(x-2/x)+x(x+2/x)+x(3)< 3/2

=x-2+x+2+3x < 3/2

=5x < 3/2

x < 3/2/5

x < 3/2×5/1

x < 15/2

x < 7 1/2 or 7. 5

7 0
2 years ago
Convert the fraction 2/5 to a decimal and a percent. Show all of your work and explain your answer.
Zielflug [23.3K]
To the convert 2/5 to a decimal it will be 0.40 because during when you do 5 do x20 so 1/5 = 0.20 and so on 
for the percent it may be 40% but idk
3 0
3 years ago
Read 2 more answers
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