Which of the following graphs represents a function?

Mathematics

2 answers:

Mnenie [13.5K]3 years ago

8 0

Answer:

The last one

Step-by-step explanation:

If you look at a graph, none of the line should overlap each other vertically. If a graph overlaps anywhere vertically, it is not a function.

Tanzania [10]3 years ago

7 0

Answer: Third graph is the correct choice.

Step-by-step explanation:

Since we have given figures

We need to find the graph which is a function.

For being a function , it should satisfy the condition mentioned below :

If we draw a vertical line which intersect the graph more than once, then it is not considered to be function as there will be more than one values for x .

According to options , only third graph satisfy the condition when we draw a vertical line intersecting the graph.

There will be only one value of y for each x.

Hence, third graph is the correct choice.

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The 11 foot long bed of a dump truck loaded with debris must rise an angle of degrees before the debris will spill out. Approxim

Ymorist [56]

Answer:

The answer is below

Step-by-step explanation:

The question is not complete. The complete question is:

The 12 foot long bed of a dump truck loaded with debris must rise an angle of 30 degrees before the debris will spill out. Approximately how high must the front of the bed rise for the debris to spill out.

Solution:

Let x be the height of the front of the bed rise needed to be raised for the debris to spill out. We can find x using trigonometric identities. That is:

sin θ = opposite / hypotenuse

Using trigonometric identities, we can get that:

sin(30) = x / 12

This gives:

0.5 = x / 12

Cross multiplying the terms to get:

x = 12 * 0.5

x = 6 ft

Therefore the front of the bed rise must be raised 6 ft for the debris to spill out.