Examine the inequality and its graph. Which values are part of the solution set? Check all that apply.
2 answers:
Answer: 3 and -1/2.
Step-by-step explanation:
You can represent any linear inequality using any of the following forms:
When the sign is pointing towards x, it means that x is greater than b.
The line under the greater sign means that x can also equal b.
In your case, b is -4., as that is the point at which numbers are no longer part of the set. An open dot over -4 is a way to represent that -4 is not a part of the solution - so x cannot equal -4.
The options given:
- 3: is greater than -4
- -5: is not greater than -4
- -1/2: is greater than -4
- -4.5: is not greater than -4
- -4: is not greater than -4.
So, your solutions are 3 and -1/2.
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Answer:
The length of segment QM' = 6
Step-by-step explanation:
Given:
Q is the center of dilation
Pre-image (original image) = segment LM
New image = segment L'M'
The length of LQ = 4
The length of QM = 3
The length of LL' = 4
The original image was dilated with scale factor = 2
QM' = ?
To determine segment QM', first we would draw the diagram obtained from the given information.
Find attached the diagram
When a figure is dilated, we would have similar shape in thus cars similar triangles.
Segment L'M' = scale factor × length of LM
Let LM = x
L'M' = 2x
Using similar triangles theorem, ratio of their corresponding sides are equal.
QM/LM = QM'/L'M'
3/x = QM'/2x
6x = QM' × x
Q'M' = 6
The length of segment QM' = 6
Answer:
B.
Step-by-step explanation:
Total number of students surveyed = 420
Of which only prefer rap.
So, the number of people who like rap is the product of the fraction of people who prefer rap and the total number of students.
The number of students that prefer rap is 105
So the equation is .