Answer:
(b) x ≤ -4
Step-by-step explanation:
There are a few things to note when reading an inequality on a number line.
The number line would contain the following:
i. <em>circles</em>: These can be closed or open. Closed circles are denoted by a shaded small circle showing that the point or number shown on the number line is included in the inequality. Open circles are denoted by an unshaded small circle showing that the point or number shown on the number line is not included in the range of inequality.
ii. <em>arrows</em>: An arrow can point to the right or left. When it points to the right, that means the values greater than the number specified on the number line are included in the range. When it points to the left, the values less than the number are included.
From the given number line,
The type of circle is a closed circle since it is shaded. This means that the number pointed at on the number line (-4 in this case) is included in the range.
Also, the arrow is pointing leftwards. This means that values less than the number pointed at (-4 in this case) are included in the range.
Therefore, the inequality should read,
x ≤ -4
This shows that all values of x less than or equal to -4 are included in the range.
Answer:A unit rate is a rate with 1 in the denominator. If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.
Step-by-step explanation:
Answer:
i. Cell phone cases
Airpods
ii. x + y = 20 .............. 1
10.98x + 27.98y = 355.60 .............. 2
iii. x = 12, and y = 8
Step-by-step explanation:
Amount of sale = $355.60
Cost of Cell phone cases = $10.98
Cost of Airpods = $27.98
Number of phone accessories sold = 20
1. The variables to be considered in the question are:
i. Cell phone cases
ii. Airpods
2. Let the number of cell phone cases bought be represented by x, and that of airpods be represented by y.
Thus,
x + y = 20 .............. 1
10.98x + 27.98y = 355.60 .............. 2
From equation 1,
x = 20 -y
substitute the value of x in equation 2
10.98(20 - y) + 27.98y = 355.60
219.6 -10.98y + 27.98y = 355.60
17y = 136.60
y = 
y = 8.0353
So that,
x = 20 -y
= 20 - 8.0353
x = 11.9647
Thus,
x = 12, and y = 8
Answer:
84pi in think
Step-by-step explanation:
The value of x in the equation 
is x = -1 or x = -2
<h3>How to solve the equation?</h3>
The equation is given as:
Start by taking the LCM
Expand the denominator
Cancel out the common factor
4x(x - 2) - 5x(x - 1)= 2
Expand
Evaluate the like terms
Rewrite as:
Expand
Factorize
x(x + 2) + 1(x + 2) = 0
Factor out x + 2
(x + 1)(x + 2) = 0
Solve for x
x = -1 or x = -2
Hence, the value of x in the equation is x = -1 or x = -2
Read more about rational equations at:
brainly.com/question/1851758
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