The inequalities which matches the graph are: x ≥ ₋1.5 and ₋1.5 ≤ x
Given, a number line is moving from ₋3 to ₊5 .
Next a mark is made at ₋1.5 and everything to its left is shaded which means not visible.
When we mark the point and shade the left part of it then we can start applying the inequality expressions.
And from that we can match the applicable inequalities while observing the graph.
- For the first inequality ₋1.5 ≥ x.Here,x value ranges from ₋1.5 to ₊5, hence we take this as an inequality expression.
- Next, if we consider x ≤ ₋1.5, then here x value will range from ₋1.5 to ₋3. where the region is shaded. Hence this expression doesn't satisfy the graph.
- the next expression is ₋1.5 ≤ x. here the value will again range in the shaded area so it is not applicable.
- ₋1.5 ≥ x, here the values will satisfy the graph.
- remaining inequality expressions does not support the graph.
Therefore the only inequalities the graph represents is x ≥ ₋1.5 and ₋1.5 ≤ x
Learn more about "Linear Inequalities" here-
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The distance covered by bicycle is 1.885 km.
What is distnace?
Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in ordinary language.
Given: A bicycle wheel with radius 30cm made 1000 revolutions.
We have to find the total distance covered by bicycle.
First to find the circumference of the bicycle wheel.
Circumference = 2πr
where, r is the radius.
Here r = 30.
So,
Circumference = 2 x π x 30 = 60π
Now to find the total distance,
D = circumference x number of revolutions.
D = 60π x 1000
D = 188,495.5592 cm
D = 188,495.5592 /1000 km
D = 1.88 km
Therefore, the distance covered by bicycle is, 1.885 km.
To know more about the distance, click on the link
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Answer:
A
Step-by-step explanation:
Given
x - 8 = - 12 ( multiply through by 3 to clear the fraction )
x - 24 = - 36 ( add 24 to both sides )
x = - 12 → A
$0.70 for 2 lollipops
X for 94 lollipops
So, 2X=94*0.70
X= (94*0.70)/2 = 65.8/2
X= $32.9
The answer is YES. They are charging enough money to get $32.90 after selling 94 lollipops on sale for buy one and get one for free.
Answer: 567
Step-by-step explanation: cause im smart i think
