Which of the following graphs could be the graph of the function f(x) = x4 + x3 – x2-x?

The equation for Beth is: 9x + 10y = 297, that is, option B.

The equation for Sarah is: 8x + 5y = 194, that is, option A.

Equations are relations between two quantities involving variables raised to multiple powers, making up terms along with numerals.

In the question, we are asked to identify the equations that represent the boxes of candy Beth and Sarah are selling, using x for the number of small boxes of candy and y for the number of large boxes of candy, from the given information.

For Beth:

We are informed that Beth sold 9 small boxes of candy and 10 large boxes of candy for a total of $297.

As x is used for the number of small boxes of candy, we get a term 9x for the selling of 9 small boxes, and as y is used for the number of large boxes of candy, we get a term 10y for the  selling of 10 large boxes of candy.

The addition of these terms needs to make up 297, as the total selling amount is 297.

Thus, the equation for Beth is: 9x + 10y = 297, that is, option B.

For Sarah:

We are informed that Sarah sold 8 small boxes of candy and 5 large boxes of candy for a total of $194.

As x is used for the number of small boxes of candy, we get a term 8x for the selling of 8 small boxes, and as y is used for the number of large boxes of candy, we get a term 5y for the  selling of 5 large boxes of candy.

The addition of these terms needs to make up 194, as the total selling amount is 194.

Thus, the equation for Sarah is: 8x + 5y = 194, that is, option A.

Learn more about forming equations at

https://brainly.com/question/18052144

#SPJ2

Answer:

y = -9/8x+7

Step-by-step explanation:

First Find The Slope: 7--2/0-8=-9/8

Find Y Intercept=7

Than Write Equation: y=-9/8x+7

Answer: Yes, No

Step-by-step explanation:

Answer: z = 3

Step-by-step explanation: 1 centimeter = 1 month so 3 centimeter = 3 months

8/21 of the lawn still needs to be mowed.

To compare fractions, we need a common denominator. The least common multiple of 7 and 3 is 21.

Miss Lianto's fraction: (2/7) x (3/3) = 6/21

Son's fraction: (1/3) x (7/7) = 7/21

To calculate how much of the lawn still needs to be mowed, we can subtract the combined fractions mowed from the total:

Combined fractions mowed: 6/21 + 7/21 = 13/21

So, Remaining fraction: 1 - 13/21 = 8/21

Therefore, 8/21 of the lawn still needs to be mowed.

Learn more about Fraction here:

https://brainly.com/question/10354322

#SPJ1

Answer:

The proportion of products that exhibit edge roughness is 0.029 = 2.9%.

Step-by-step explanation:

Proportion of products that exhibit edge roughness:

2% of 25%(new blades).

3% of 60%(average sharpness).

4% of 15%(worn). So

\(p = 0.02*0.25 + 0.03*0.6 + 0.04*0.15 = 0.029\)

The proportion of products that exhibit edge roughness is 0.029 = 2.9%.

Answer:

D : 10 feet

Step-by-step explanation:

Hello I think I can help with this.

Now how I would do this given a multiple choice question is kind of use brute force with your given answers to find the solution.

So the formula for area is known as (L x W x H)

or (length x width x height)

Lets see what we are given.

We are given the length which is 12

We are also given the width which is 4 1/2

And if we multiply these we can find the surface area of the base of this rectangular prism so lets do that.

12 multiplied by 4 1/2

=

54

Alright so now we know the base of this rectangular prism is 54 ft²

Now we can start the brute force method. So we are trying to find the height in this problem since we already have the width and length and have worked that out. So now all we do is multiply what we found (54) by the possible answers until one of them gives us the answer 540 ft³.

NOW this is actually really easy because we got 54 as our answer to length x width and our total amount of area is 540.

So instead of brute force we can take an easier route and do 540 / 54 and get an easy answer of 10 which is option D :

10 feet

I hope this helps you understand this a bit better!

If you are confused or have any concerns / questions feel free to comment or message me :)

Answer:

Height = 540/(4.5*12) = 10 feet

Step-by-step explanation:

Answer:

t > 7

Step-by-step explanation:

2 paperclip points = 3 mm apart

After each trial, points are 2mm more apart ;

That is

Trial 1 : 3mm

Trial 2 : 5 mm

Trial 3 : 7 mm

Trial 4 : 9 mm

Trial 5 : 11 mm

Trial 6 : 13 mm

Trial 7 : 15 mm

Trial 8 : 17 mm...

Hannah reports feeling 1 point until the point are 15m apart which is equal to 7th trial

Hence, she starred reporting feeling 2 points after the 7 th trial

t > 7

Hence, the inequality

Answer:

the awnser would be blue because it has the longest time it took to run the same amount of distance as the other players

The Blue color line shows the slowest runner.

The graph is simply a structured representation of the data. It aids in our comprehension of the data. The numerical information gathered through observation is referred to as data.

Given:

We have the Four lines in the Graph.

Now, the slowest runner will be shown by that line which takes most of the time and covered little distance or which has higher slope.

and, the Fastest runner will be shown by that line which takes least of the time and covered large distance or which has lower slope.

Here in Graph Blue line has Higher slope which shows the slowest Runner and Red line has lower slope which shows the fastest Runner.

Learn more about Graph here:

https://brainly.com/question/17267403

#SPJ2

We cannot make a general assumption about whether the mean is greater or less than 3.5 based solely on the fact that the median is 3.5.

The mean is a measure of central tendency that represents the average value of a set of numbers. It is also called the arithmetic mean or simply the average.

We cannot make a general assumption about whether the mean is greater or less than 3.5 based solely on the fact that the median is 3.5.

The mean and the median are two different measures of central tendency, and they can have different values depending on the distribution of the data. In general, if a data set is symmetric and bell-shaped, the mean and the median are close to each other. However, if the data set is skewed, the mean and the median may be different.

For example, consider the following two data sets:

Set 1 data: 1, 2, 3, 4, and 5.

The median is 3.

The mean is (1 + 2 + 3 + 4 + 5) / 5 = 15 / 5 = 3.

Data set 2: 1, 2, 3, 4, 10

The median is 3.

The mean is (1 + 2 + 3 + 4 + 10) / 5 = 20 / 5 = 4.

In data set 1, the mean is the same as the median. In data set 2, the mean is greater than the median because the value 10 is an outlier that pulls the mean up.

Therefore, without additional information about the distribution of the data, we cannot make a general assumption about whether the mean is greater or less than 3.5 based solely on the fact that the median is 3.5.

To know more about mean visit:

https://brainly.com/question/10853033

#SPJ1

Answer:

x = 3

Step-by-step explanation:

We substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.

The given system of equations are 2x-1/3y = -2...(1)

3x+y=1...(2)

We solve this system of equations by using substitution method.

Let us solve for x in equation to substitute it in equation (2).

2x=-2+1/3y

Divide both sides of equation by 2.

x=-1+1/6y

Now plug in the value of x in equation 2.

Hence, we substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1

At x = 0 and x = 7, the function g(x) is undefined.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression of the function is,

⇒ g (x) = 6 / x (x - 7)

Now, We know that;

The function f(x) = a(x) /b (x) is not defined at b (x) ≠ 0

Here, The expression of the function is,

⇒ g (x) = 6 / x (x - 7)

So, Function g (x) is not defined when,

x (x - 7) = 0

⇒ x = 0

or, x - 7 = 0

⇒ x = 7

Thus, At x = 0 and x = 7, the function g(x) is undefined.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

Answer:

X+3x+2x=180

6x=180

x=30

2*30=60

w=60 degrees

Answer:

(x,5)

Step-by-step explanation:

If the line is horizontal, the y values cannot change.  So, for a line of infinite length, there are infinite possible values for x but only a single value for y.  Any ordered pair in which the y value is 5 is an acceptable answer.

Answer:

4 rth answer is correct if it is wrong plz comment

Step-by-step explanation:

=14-3/21

=11/21

=

2-1/6

1/6

4-3/12

1/12

Answer:

Not enough info given

Step-by-step explanation:

There isn’t a accurate slope to find if they are parallel or perpendicular

Answer:

The number of empty seats each of these three airlines carried on its flight are as follows:

United Continental = 150 empty seats

American = 50 empty seats

Southwest = 70 empty seats

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question. See the attached pdf for the complete question.

The explanation of the answers is now provided as follows:

Let U, A and W represents number of empty seats of United Continental, American, and Southwest respectively. Therefore, we have:

U + A + W = 270 ………………………. (1)

Since United Continental had three times as many empty seats as American, this implies that:

U = 3A ………………………………… (2)

Substituting U = 3A into equation (1), we have:

3A +A + W = 270

4A + W = 270

W = 270 - 4A ………………………….. (3)

For the cost, we have:

3,000[((14.90 / 100) * 3A) + (14.60A / 100) + (12.40W / 100)] = $114,990

((14.90 / 100) * 3A) + (14.60A / 100) + (12.40W / 100) = $114,990 / 3,000

((14.90 / 100) * 3A) + (14.60A / 100) + (12.40W / 100) = 38.33

0.447A + 0.146A + 0124W = 38.33

0.593A + 0.124W = 38.33 ………………… (4)

Substituting W = 270 - 4A from equation (3) into (4) and solve for A, we have:

0.593A + 0.124(270 - 4A) = 38.33

0.593A + 33.48 - 0.496A = 38.33

0.593A - 0.496A = 38.33 - 33.48

0.097A = 4.84

A = 4.84 / 0.097

A = 49.8969072164948

Rounding to a whole number, we have:

A = 50

Substituting A = 50 into each of equations (2) and (3), we have:

U = 3 * 50 = 150

W = 270 - (4 * 50) = 70

Therefore, the number of empty seats each of these three airlines carried on its flight are as follows:

United Continental = 150 empty seats

American = 50 empty seats

Southwest = 70 empty seats

Answer:

the product of the decimal equivalents of all discount in the series

Answer:

The question is not complete

Answer:

17.6 feet.

Step-by-step explanation:

The length of the I-beam can be calculated as follows:

Weight = Length * Weight per Foot

Rearranging this equation:

Length = Weight / Weight per Foot

Substituting the given values:

Length = 444.5 lb / 25.4 lb/ft = 17.6 ft

So, the length of the I-beam is 17.6 feet.

Answer:

Hi! The answer to your question is \(X = 3\)

Step-by-step explanation:

☆*: .｡.｡.:*☆☆.*: .｡..｡.:*☆☆*: .｡.｡.:*☆☆.*: .｡..｡.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

Answer:

$31.04

Step-by-step explanation:

Answer:

Last Option : D

Step-by-step explanation:

Answer:

D

Step-by-step explanation: