Answer:
the domain of a v-shaped graph is set of all real numbers
Step-by-step explanation:
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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Answer:
4 feet
Step-by-step explanation:
It is given that:
• At 2:30 p.m., the water depth was 2.6 feet.
• It is now 5:00 p.m., and the depth of the water is 3.6 feet.
So in 2.5 hours ( 5pm - 2:30pm) the water rose 1 feet (3.6 - 2.6).
Now <em><u>we can find how much water rises in 1 hour by setting up a ratio (let x be the depth increase of water in 1 hr):</u></em>
So, in 1 hour, the water level will rise 0.4 feet
So, at 6pm (1 hour from 5 pm) it will rise to 3.6 + 0.4 = 4 feet
180 - 64 = 116
116 / 2 = 58 :)
Check: 58 + 58 + 64 = 180
