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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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At higher altitudes, water boils at lower temperatures. This relationship between altitude and boiling point is linear. At an al
Mashutka [201]

Let's assume

boiling point is y

altitude is x

we are given

This relationship between altitude and boiling point is linear

At an altitude of 1000 feet, water boils at 210°F

so, first point is (1000,210)

so, x1=1000 , y1=210

At an altitude of 3000 feet, water boils at 206°F

so, second point is (3000,206)

so, x2=3000,y2=206

now, we can find slope

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

now, we can plug values

m=\frac{206-210}{3000-1000}

m=-\frac{1}{500}

now, we can use point slope form of line

y-y_1=m(x-x_1)

so, we can plug it

y-210=-\frac{1}{500}(x-1000)

so, point slope form of line is

y-210=-\frac{1}{500}(x-1000)

now, we can plug x=8000

and then we can solve for y

y-210=-\frac{1}{500}(8000-1000)

y=196

So,

the boiling point of water at an altitude of 8000 feet is 196°F..........Answer

4 0
2 years ago
Read 2 more answers
At Monroe High School, 62% of all students participate in after school sports and 11% participate in both after school sports an
dimaraw [331]
Hey there!

Before you start solving anything, you need to identify which situation you want to call event A and which you want to call event B. I usually just do it in the order of the events as they're given to me in the question, so:

A = S<span>tudent participates in student council
B = S</span><span>tudent participates in after school sports

Any problems that contain the word "given" in the question portion will want you to refer to </span>P(A | B)<span> = P(</span>A ∩ B)/P(B). P(A | B) literally means "probability of event A, given that event B has occurred." P(A ∩ B) is the probability of event A and B happening, and P(B) is just the probability of event B happening. We've been given all of that, so:

P(A | B) = P(A ∩ B)/P(B)
P(A | B) = 11% / 62%
P(A | B) = 0.11 / 0.62
P(A | B) = 0.18

There will be about an 18% chance that <span>a student participates in student council, given that the student participates in after school sports. 

Hope this helped you out! :-)</span>
4 0
2 years ago
Read 2 more answers
The value -1 is a lower bound for the zeros of the function shown below.
BlackZzzverrR [31]

Answer:

false

Step-by-step explanation:

3 0
2 years ago
A geometry teacher asked Radric to define "parallel lines." Radric said that parallel lines are lines in a plane that do not hav
UkoKoshka [18]

Answer: The answer is Yes.

Step-by-step explanation:  Given in the question that Radric was asked to define "parallel lines" and he said that parallel lines are lines in a plane that do not have any points in common. We are to decide whether Radric's definition is valid or not.

Parallel lines are defined as lines in a plane which never meets or any two lines in a plane which do not intersect each other at any point are called parallel.

Thus, Radric's definition is valid.

6 0
2 years ago
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Five minivans and three trucks are traveling on a 3.0 mile circular track and complete a full lap in 98.0, 108.0, 113.0, 108.0,
Alex

Answer:

The time-mean speed of the minivans is of 105.8 seconds.

Step-by-step explanation:

Mean of a data-set:

The mean of a data-set is the sum of all values in the data-set divided by the number of values.

Five minivans, times of: 98.0, 108.0, 113.0, 108.0, 102.0, in seconds.

Thus, the mean is:

M = \frac{98 + 108 + 113 + 108 + 102}{5} = 105.8

The time-mean speed of the minivans is of 105.8 seconds.

7 0
2 years ago
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