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bixtya [17]
4 years ago
12

What is |2x-3| less than or equal to 7??

Mathematics
2 answers:
Trava [24]4 years ago
8 0
|2x-3|=2x-3 ;x≥ 3/2
|2x-3|=-2x+3;x≤3/2
zalisa [80]4 years ago
7 0
|2x-3| </= 7. This needs to be split into 2 separate inequalities, due to the | | absolute value phrase.
1) 2x-3 </= 7 --> 2x-3 +3 </= 7 +3
2x </= 10 --> x </= 5
2) 2x-3 >/= -7 --> 2x-3 +3 >/= -7 +3
2x >/= -4 --> x >/= -2
These two inequalities can be placed together as: -2 </= x </= 5
So the numbers that are correct for the original inequality are: -2, -1, 0, 1, 2, 3, 4, 5
Hope that helps!
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Claire has $210 to spend on clothes. She wants to buy a pair of shorts and some shirts. The cost of a pair of shorts is $25, and
Komok [63]

Answer:

discount of 50% on one shirt, which inequality can be used to find the maximum number of shirts, n, that she can buy?

Step-by-step explanation:

has $210 to spend on clothes. She wants to buy a pair of shorts and some shirts. The cost of a pair of shorts is $25, and the cost of a shirt is $40. If she gets a discount of 50% on one shirt, which inequality can be used to find the maximum number of shirts, n, that she can buy?

3 0
4 years ago
A parabolic microphone used on the sidelines of a professional football game uses a reflective dish 24 inches wide and 6 inches
Strike441 [17]
The answer is a.
When you are solving problems like this you would use the equation y^2=4ax. The x and Y would be the coordinates. Based on the equation you have given the coordinates would be (6,12) and (6,-12), (24 is split up evenly between the y-axis).  
Then we go on to solve the equation by plugging in the numbers 12^2=4a(6)
144=24a
144/24=24a/24
6=a
5 0
3 years ago
A child enters a carousel that takes one minute to revolve once around. The child enters at the point (1,0). Assume the carousel
Shtirlitz [24]

Answer:

(-1,0)

Step-by-step explanation:

Given that ;

1 minute= 1 revolution

2minutes=2 revolution

30seconds, 0.5 minutes= 1/2 a revolution

Hence;

2 minutes 30 seconds will be two and a half revolutions

2 minutes will complete 2 revolutions to return to point (1,0), then from (1,0), the carousel proceeds to cover the half revolution and complete 2 minutes and 30 seconds

Note the revolutions will be conducted in anticlockwise direction, so the 1/2 revolution will follow the property of rotation in anticlockwise direction about the origin through 180°, starting from point (1,0)

The property states that a points (h,k) rotated about the origin in anticlockwise direction through 180° will be mapped to (-h,-k)

Hence (1,0) will be mapped to (-1,0)

4 0
3 years ago
Which graph represents this system?<br> first one is the system is it A.B.C or D
larisa86 [58]

Answer and Step-by-step explanation:

Well, Let's refer to the attachment shall we?

The first attachment is for y=2x+1

And the second attachment is for y=-4x+7

And the third attachment is for when you combine them together.

Now it's up to you which graph suites best? You will get your answer by referring it with my graph.

Hope this will help you!

3 0
4 years ago
At sunrise, the temperature was –4.5°C. During the day, the temperature rose 9.7°C and then fell 4.8°C.
ollegr [7]
-4.5 rose 9.7 then fell 4.8

-4.5 + 9.7 = 5.2

5.2 - 4.8 = 0.4
8 0
3 years ago
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