Expand and simplify the following expression: $(a-2b){3}$

Answers

Answer 1

Answer: $(x-y)^3=x^3-3x^2y+3xy^2-y^3\n--------------------------\n(a-2b)^3=a^3-3a^2\cdot2b+3a\cdot(2b)^2-(2b)^3\n\n=a^3-6a^2b+12ab^2-8b^3$

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12. Edie can paint a wall in 3 hours. Dan can paint the same wall in 6 hour. If the work together how many hours will it take Edie and Dan to paint the wall?A) 1 hour B) 1.5 hours C) 2 hours D) 4.5 hours
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Find the perimeter and area of the figure...

If the base and height of a triangle are measured in inches, what will the units of the perimeter be? centimeters square inches inches

Answers

normally you would give the answer in the units given
UNLESS OTHERWISE STATED

so normally it would be inches (unless the quesiton asks to convert to centimeters)
square inches is for area, we are solving for perimiter

answer is inches

Which is a factored form of 8x^3+1?

Answers

in factor form (2x+1)(4x^2-2x+1)

James paddles upstream in a canoe at 2mph (relative to the shore), and when he paddles down-stream, he goes 9mph. Find the speed of the current and the speed James can paddle in still water and come up with an equation.

Answers

Let x represent James's speed and y represent the speed of the current. Since upstream the current goes against him, $x-y=2$ describes the speed upstream, and since downstream the current goes with him, $x+y=9$ describes the speed downstream.

Use elimination to solve for x: $x-y=2 \n -(x+y=9) \n =-2y=-7 \n y=7/2$ or 3.5 miles per hour for James in still water. Substitute y into either original equation: $x-(7/2)=2 \n x=11/2$ or 5.5 miles per hour for the current. As far as an equation, you can use $y=(11/2)x$ , where x is the number of hours James has paddled in still water and y is the distance he has traveled (in miles).

Not sure what equation you're looking for, but against the current he goes 2 mph and with he goes 9mph, so 9-2=7mph difference between them, divided by 2 = 3.5 mph of the current. So in this case, James can paddle 2+3.5= 5.5 mph in still water and the current moves at 3.5 mph.

James can paddle 5.5 mph
The current moves at 3.5 mph
Equation: speed = 5.5 + 3.5x where x can equal -1, 0, or 1 depending on whether James is going with the current (x = 1), without the current (x = 0), or against the current (x = -1)

The data set below has an outlier.2, 10, 10, 11, 11, 12, 12, 12, 13, 14, 14

Which value is changed the most by removing the outlier?

A: the range
B: the median
C: the lower quartile
D: the interquartile range

Answers

2, 10, 10, 11, 11, 12, 12, 12, 13, 14, 14

range: 14 - 2 = 12
median: 12
lower quartile: 10
interquarile range: 14 - 10 = 4

10, 10, 11, 11, 12, 12, 12, 13, 14, 14
range: 14 - 10 = 4
median: 12
lower quartile: 10.5
interquartile range: 14 - 10.5 = 3.5

2 is the outlier.

the value that change is most is A. THE RANGE.
From 12, it became 4 when the outlier was removed from the data set.

the value that changes the most is the range

The following are the last 10 run scores Colin got in cricket: 5, 3, 9, 11, 4, 28, 0, 30, 0, 23 a) Work out Colin's mean score.

Answers

Answer:in pula mea dute si invata nu mai venii aici\

Step-by-step explanation:vezii ca daca nu invetii ii zic lu mata aia creata ca folosesti brainly bai nesimtitule mars la munca nu la frecat ou bai labare.

$√(x)$

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) 〗