The cost of 50 pounds of pet food is 117.50. What is the cost for one pound?

The distance versus time plot for a particular object shows a quadratic relationship. Which column of distance data is possible

Viktor [21]

Answer:

(A) column A

Step-by-step explanation:

The distance values in column A are:

0, 1, 4, 9, 16, 25 and 36

If you just look at these values, these are the squares of 0, 1, 2, 3, 4, 5 and 6 which shows that distance in column A versus time would show a quadratic plot.

For the values showing a quadratic relationship, the second differences in the values are constant. This means, if we find the differences of two consecutive terms for all the terms and then find the difference of the answers resulted in previous step, these should be a constant for the quadratic function.

Differences in the values of Columns A are:

1, 3, 5, 7, 9, 11

The difference in these differences are:

2, 2, 2, 2, 2

which is a constant. Since, the difference is being calculated two times, it is known as second difference. The second difference must be constant for a quadratic relationship. For the other columns, the second differences are not constant.

Therefore, the correct answer is option A.

3 0

3 years ago

Find the value of y for the given value of x. <br><br> Y=2x3;x=3<br> Y=?

erik [133]

Answer:

6

Step-by-step explanation:

5 0

3 years ago

Help please!! Triangle QRS is similar to triangle TUV. Write the equation, in slope-intercept form, of the side of triangle QRS

Vanyuwa [196]

Answer:

y = x +9

Step-by-step explanation:

Side RS of triangle QRS is the one that is parallel to side UV. Being parallel, it has the same slope as UV. We observe that UV has a "rise" of 3 units (from 2 to 5) and a "run" of 3 units (from 1 to 4). Its slope is ...

m = rise/run = 3/3 = 1

__

The point-slope form of the equation for a line is ...

y -k = m(x -h) . . . . . . line with slope m through point (h, k)

We observe that point S has coordinates (-8, 1), so we can write the equation of line RS in point-slope form as ...

y -1 = 1(x -(-8))

Adding 1 to both sides and simplifying, we have the slope-intercept equation ...

y = x +9

3 0

2 years ago

Theresa has $12 in nickels and quarters. If she has the same number of each kind of coin, how many nickels and quarters does she

postnew [5]

Answer: She has 40 nickels and 40 quarters .

Step-by-step explanation:

Let be "n" the number of nickels Theresa has and "q" the number of quarters Theresa has.

You know that she has a total of $12 in nickels and quarters. In cents, this is:

$\$12*100=1,200\ cents$

Then, based on this you can write the following expression:

$5n+25q=1,200$

Since $n=q$ , you can rewrite it as:

$5n+25n=1,200$

Solving for "n", you get:

$30n=1,200\\\\n=\frac{1,200}{30}\\\\n=40$

Therefore she has 40 nickels and 40 quarters .

7 0

3 years ago

How to round 4.66 to the nearest hundredth

andrey2020 [161]

To round it to the nearest hundreth, round the 6 to the nearest number. 1-4 means round to the lowest number in the chart. 6-10 means round to the nearest number above the current number. The answer would be 4.7

5 0

4 years ago