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Anvisha [2.4K]
3 years ago
5

A box of pencils costs $10.The total cost (c) as a function of the number of boxes (b) is expressed as c = f(b) = 10b. What is t

he domain of this function?
A.
all positive integers and zero
B.
all real numbers
C.
all real numbers except 0
D.
all positive real numbers except 10
Mathematics
1 answer:
denpristay [2]3 years ago
3 0

Answer:

All positive integers and zero

A is correct

Step-by-step explanation:

A box of pencils costs $10

The total cost (c) as a function of the number of boxes (b) is expressed as

c = f(b) = 10b

The function, f(b) = 10b

b is independent variable and c is dependent variable.

For any function find domain using independent variable.

b represents number of boxes.

Number of boxes neither be negative nor decimal.

Possible value of b: {0,1,2,3,4,5,.......}

All positive integers and zero.

Domain: All positive integers and zero

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(2,170), (5,365) slope
Alexxandr [17]

Answer:

To find the slope given two points, use the slope formula. The slope formula is Y2-Y1/X2-X1. Substitute in the given points and solve.

365-170/5-2

195/3

65

The slope of the two points is 65.

Hope this helps! :)

5 0
2 years ago
Mrs. Hinojosa head 75 ft of ribbon if each of the 18 students in her class gets an equal length of ribbon how long would each pi
Helen [10]

Answer:

4 1/6 ft

Step-by-step explanation:

Since each of the 18 students gets an equal length of ribbon, we need to divide the 75 ft of ribbon into 18 equal parts.

75/18= 4 1/6

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4 0
3 years ago
Tim picked 1 7/12 buckets of apples, and Fred picked 4 2/3 buckets of apples. How many more buckets did Fred pick?
ElenaW [278]
The answer is 2 buckets

Explain:
Tim picked 1 7/12 and Fred picked 4 2/3
These as improper fractions are 19/12
And 8/3
To make these have the same denominator you would times the 8/3 by 4 to give 32/12
Take these two away, Fred has 13 more apples.
And as we calculated it with there being 12 in each bucket there would be one full bucket but we would need another bucket for the apple left
So Fred picked 2 more buckets than Tim.
Hoped it makes sense and that I helped
3 0
3 years ago
Find the length of UT.
otez555 [7]

Answer: A. 32

Concept:

Here, we need to know the idea of the intersecting chord theorem and segment addition postulate.

The<u> intersecting chord theorem </u>states that when two chords intersect at a point, P, the product of their respective partial segments is equal.

The<u> Segment Addition Postulate</u> states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

<u>Given information</u>

CW = 12

TW = 14

VW = 2x + 5

UW = 2x + 2

<u>Given expression deducted from intersecting chord theorem</u>

CW · VW = TW · UW

<u>Substitute values into the expression</u>

(12) · (2x + 5) = (14) · (2x + 2)

<u>Expand parentheses and apply the distributive property</u>

24x + 60 = 28x + 28

<u>Subtract 14x on both sides</u>

24x + 60 - 24x = 28x + 28 - 24x

60 = 4x + 28

<u>Subtract 28 on both sides</u>

60 - 28 = 4x + 28 - 28

32 = 4x

<u>Divide 4 on both sides</u>

32 / 4 = 4x / 4

x = 8

<u>Given expression deducted from the segment addition postulate</u>

UT = UW + TW

<u>Substitute values into the expression</u>

UT = 2x + 2 + 14

<u>Substitute x value into the expression</u>

UT = 2 (8) + 2 + 14

UT = 16 + 2 + 14

<u>Combine like terms</u>

UT = 32

Hope this helps!! :)

Please let me know if you have any questions

5 0
2 years ago
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