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Ugo [173]
2 years ago
10

A grocery store sells packages of beef. The function C(w) represents the cost, in dollars, of a package of beef weighing w pound

s. The most appropriate domain for this function would be?

Mathematics
1 answer:
victus00 [196]2 years ago
3 0

Answer:

(4)

Step-by-step explanation:

Integers are:  ... -3, -2, -1, 0, 1, 2, 3 ....

Positive integers are the positive ones of the line above.

Rational numbers include all the numbers between the whole ones, so fractions and decimals included. Any number that can be written as a fraction (including repeating decimals).

Now, domain is the set of x-values (input) of the function.

The input of the function C(w), is w, which is the number of pounds.

You can buy 3 pounds, 4 pounds etc. as well as 3.2 pounds, 3/4 pound etc.

So, you can buy rational numbers number of pounds, not only integers.

Also, NOT ALL RATIONALS, since you can't buy NEGATIVE POUNDS of beef, so we can say:

THe domain is positive rational numbers.

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Find the gradient of the line segment between the points (2,3) and (-3,8).
fiasKO [112]

Answer:

m = -1

Step-by-step explanation:

Given

Points (2,3) and (-3,8)

Required

Determine the gradient

Gradient (m) is calculated by dividing the change in y values by the change in x values.

i.e.

m = \frac{y_2 - y_1}{x_2 - x_1}

Where:

(x_1,y_1) = (2,3)

(x_2,y_2) = (-3,8)

m = \frac{y_2 - y_1}{x_2 - x_1} becomes

m = \frac{8 - 3}{-3 -2}

m = \frac{5}{-5}

m = -1

<em>Hence, the gradient is -1</em>

7 0
2 years ago
7700 dollars is placed in an account with an annual interest rate of 5.75%. How much will be in the account after 24 years, to t
Amanda [17]

Answer:

A = $18,326.00

(assuming simple interest)

Step-by-step explanation:

Assuming simple interest, the following formula applies:

final amount = (principal amount) x [1  + (annual rate)(time elapsed) ]

or

A = P (1 + rt)

in our case,

P = $7,700

r = 5.75% = 0.0575

t = 24 years

hence,

A = 7700 [ 1 + (0.0575)(24)]

A = 7700 ( 1 + 1.38)

A = 7700 x 2.38

A = $18,326.00  

4 0
2 years ago
A chess player moves a knight from the location (3, 2) to (5, 1) on a chessboard. If the bottom-left square is labeled (1, 1), t
iragen [17]
We have to find how the chess player can move a knight from one location to another.
Also we have to remember that the bottom - left square is labelled ( 1 , 1 ).
First he wants to move a knight from ( 3 , 2 ) to ( 5 , 1 ).
Answer: 2 squares left, 1 square down.
Then he wants to move it from ( 5 , 1 ) to ( 6 , 3 ).
Answer: 2 squares right, 2 squares up, 1 square left.

5 0
2 years ago
Read 2 more answers
On a number​ line, the coordinates of​ X, Y,​ Z, and W are ​, ​, ​, and ​, respectively. Find the lengths of the two segments be
Arturiano [62]

Complete Question:

On a number​ line, the coordinates of​ X, Y,​ Z, and W are −8​, −5​, 4​, and 6​, respectively. Find the lengths of the two segments below. Then tell whether they are congruent. \overline{XY} and \overline{ZW}

Answer:

\overline{XY} = 3

\overline{ZW} = 2

They are not congruent

Step-by-step explanation:

Length of segment XY:

Coordinate of X = -8

Coordinate of Y = -5

\overline{XY} = |-8 -(-5)| = |-8 + 5| = 3

Length of ZW:

Coordinate of Z = 4

Coordinate of W = 6

\overline{ZW} = |4 - 6| = 2

\overline{XY} ≠ \overline{ZW}, therefore, they are not congruent.

3 0
2 years ago
After a (not very successful) trick or treating round, Candice has 15 Tootsie rolls and 9 Twizzlers in her pillow case. Her moth
VladimirAG [237]

Answer:

4 ways.

Step-by-step explanation:

The total amount of candy she has is 15 + 9 = 24 pieces. She has three younger brothers, and 24 is divisible by 3 (24/3 = 8). 15 and 9 are also both divisible by 3 (15/3 = 5 and 9/3 = 3).

-She can give them each 5 tootsie rolls.

-She can give them each 3 twizzlers.

- She can give them each 5 tootsie rolls and 3 twizzlers (if she were to give them all of the candy)

- She can give them one of each which would leave her 12 tootsie rolls and 6 twizzlers (which is the best option if she's trying to save for herself)

I see 4 ways to do this, and 2 ways after her mother asks her to give at least 1 type of candy to each of them.

6 0
2 years ago
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