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Snezhnost [94]
3 years ago
7

Evaluate the function at the given point ​

Mathematics
2 answers:
Elena-2011 [213]3 years ago
7 0

Answer:

y=-2

Step-by-step explanation:

On the graph, It says where x is -15, y is -2.

jonny [76]3 years ago
5 0

Answer:

The answer is Option 3.

Step-by-step explanation:

By looking at the table, when x = -15, then, y is equals to -2.

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Is this graph a function or not a function?
weeeeeb [17]

Answer:

It is a function.

Step-by-step explanation:

You can test if a graph is a function if you draw a vertical line anywhere on the graph and you see it hits two points.

This is the table for the graph.

\left[\begin{array}{ccc}x&y\\-3&0\\0&1\\3&2\end{array}\right]

Remember these rules:

  • Each x value, or input, has its unique y value, or output
  • If you draw a vertical line anywhere on the graph, it should only go through one point

We can check these two rules for this graph:

  • Does each x value have its own, unique y value? Yes
  • If you draw a vertical line anywhere on the graph, does it only go through one point? Yes, there are no overlaps

Keep in mind that two different x-values can have the same y value.

Figure 1:

It has two x values with the same y-values.

Figure 2 and 3:

The vertical line goes through two points. So the same x-value has two different y-values.

-Chetan K

4 0
2 years ago
An open box is to be made out of a 6-inch by 14-inch piece of cardboard by cutting out squares of equal size from the four corne
lawyer [7]

Answer:

The dimensions of the resulting box that has the largest volume is 1.3 inches x 1.3 inches

Step-by-step explanation:

Card board size is L= 14 inches and

W = 6 inches

Let x be the size of equal squares cut from 4 corners and bent into a box whose size is now;

L = 14 − 2x , W = 6 −2x and h = x inches.

Volume of the box is given as;

V = (14 −2x)(6−2x)x

V =(4x² − 40x + 84)x

= 4x³ − 40x² + 84x.

Now, for the maximum value,

dV/dx =0

Thus,

dv/dx = 12x² - 80x + 84 = 0

Using quadratic formula

x = [-(-80) ± √(-80²) - 4(12 x 84)]/(2 x 12)

x = [80 ± √(6400 - 4032)]/24

x = (80 + 48.66)/24 or (80-48.66)/24

x = 5.36 or 1.31

Looking at the two values, 1.31 would be more appropriate because if we use 5.36,we will get a negative value of the width (W).

Thus, x = 1.31 inches

Let us use the Second Derivative Test to verify that V has a local maximum at x = 1.31.

Thus;

d²v/dx² = 24x - 80 = 24(1.31) - 80 = -48.56

This is less than 0 and therefore, the volume of the box is maximized when a 1.31 inch by 1.3 inch square is cut from the corners of the cardboard sheet.

3 0
3 years ago
7000 litres of water is pumped out of a tank in 42 minutes. How many litres could be pumped out in one hour at the same rate?
viktelen [127]

Answer:

8600 litre×235 will be there in the tanks

7 0
3 years ago
3÷3912.00 carry to the hundreth
irga5000 [103]
7.67 is your answer. hope this helps, let me know if you need more help
5 0
3 years ago
Read 2 more answers
How do I solve this math problem?
nikitadnepr [17]
1,088 if you set it up as a proportion. It would be 17/20 compared to x/1280 multiply 17 by 1280 and then divide by 20.
3 0
3 years ago
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