MATHEMATICS HIGH SCHOOL

Which inequality's graph will have a dashed boundary line?A.)x + 7y > 3



B.)7x + y ≤ 3



C.)6x − 5y ≥ 4



D.)y − x ≤ 3

Answers

Answer 1
Answer: THE EQUALITY WITH BOUNDARY IS B

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Factor completely:

7r^2− 64r + 64

Answers

Answer:

7r^2-64r+64

49r-64r+64

-15r+64

Step-by-step explanation:

Use long division or synthetic division to find the quotient of

Answers

Answer:

2x^2-x+1

Step-by-step explanation:

Answer:

2x² - x + 1

Step-by-step explanation:

((2x^(2)-x+1)(x+1))/((x+1)) = 2x^(2)-x+1

Five years ago, Rhea put $20,000 into savings. Now it's worth $30,000. Which of the following statements is true for this situation?

Answers

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Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 5 cos 5θ

Answers

Short answer. X axis. This is a teaching lesson intended to show you what the odd and even graphs look like.
Remark
You should always try to draw these kinds of questions using a graphing calculator or some sort of program on the internet that imitates a graphing calculator. Begin by looking at the diagram on the left. Are there any clues which one you should pick?

There are. Notice the "leaf" that's on the plus x axis. It looks the same on both sides of the x axis. 

There are 4 other leaves. Do they confirm your suspicion? They should. The next leaf counter clockwise above the  one on the x axis is the mirror image of the leaf that is next clockwise to the one symmetrical about the x axis. Those two are mirror images. 

Comment
What would happen if you were give an even number of leaves? Try 4.
r = 5*cos(4 theta). Notice that 2n leaves are produced (2*4 = 8 in this case). Notice also that you have a symmetry for the origin.

Finally
If the topic interests you, go to desmos and try r = 5*sin(4*theta) and r = sin(5*theta). Are there any differences? 

Remember to be working in polar coordinates in desmos. 

Answer:

x-axis

Step-by-step explanation:

r=4 cos⁡5θ

∙Subsitute (r,-θ)in the given function

4 cos⁡〖5θ=4 cos⁡5(-θ) 〗,then r(θ)=r(π-θ)

∴Thus,it is symmetric about x-axis.

Since

4 cos⁡〖5θ≠-4 cos⁡5(π-θ) 〗

∴Thus,it is not symmetric about y-axis.

∙Since

4 cos⁡〖5θ≠-4 cos⁡5(π+θ) 〗

∴Thus,it is not symmetric about the origin
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