Write the polynomial you created in factored form.

Answer:

a) 8

b) 10

c) 12

Step-by-step explanation:

C is 12 because tablets sold under 30 are the first 2 bars. 5 stores sold 9-19 and 7 store sold 20-30

There are infinitely many solutions to the given equation, 8x + 2(x - 7) = 7x + 3x - 14.Property used to address this condition: property with distribution

We must simplify and solve the given equation in order to count the number of possible solutions. We should start by working on the situation:

8x + 2(x - 7) = 7x + 3x - 14

To start with, we disseminate the 2 to the terms inside the brackets:

8x + 2x - 14 = 7x + 3x - 14

Then, we join like terms on the two sides of the situation:

10x - 14 = 10x - 14 The variable term 10x appears on both sides of the equation, as we can see. This indicates that when we subtract 10x from both sides, the variable cancels out:

At this point, we have -14 = -14, which is correct. 10x - 10x - 14 = 10x - 10x - 14 = -14 This equation is an identity because it has no variables and holds true no matter what the value of x is.

Therefore, there are infinitely many solutions to the given equation, 8x + 2(x - 7) = 7x + 3x - 14.

Property used to address this condition: property with distribution

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Carolyn made an error in her work because she did not correctly distribute the negative in Step 3.

A system of equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point of the intersection.

You can solve a system of equations by the adding or substitution methods. In the addition method, you eliminate a variable, on the other hand, in the substitution method you replace a variable for the other.

The question gives:3x-2y=7 (1)y=x+2The question shows that Carolyn applies the substitution method because she replaces the variable y (equation 2) in equation 1. See the given step 2.

3x – 2y = 7

3x – 2(x + 2) = 7

3x – 2x - 4 = 7 - here it is the mistake. (Carolyn did not correctly distribute the negative).

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It is the fourth one because n could be any number on that red line because it’s is greater than -3

Answer:

The 4th option on the picture

Step-by-step explanation:

First, we can find -3 on the number line. Next, the inequality doesn't say n is greater than or equal to -3 (When you have a line under the greater sign, it means greater than or equal to), it says that n is greater than -3, so you don't fill in the dot. We know that to be greater than something, you point the line to the right side of the point (And we plot less than a point is to go left of the point), so we have all of the data to plot the line. The point is at -3 and isn't filled in and goes right of -3. Therefore, the answer is the 4th one.

Answer:

B. 60L

Step-by-step explanation:

30L = 1hr

2hrs= 30×2= 60L

Answer:

B

Step-by-step explanation:

Answer:

i told you in the comment it equals 7

Step-by-step explanation:

The value of variable x that makes -4x-(-10 - 8x) = -(12x-14) true is 1/4. thus, option c is correct.

An equation's unknown numerical value is represented by a symbol (typically a letter) called a variable in algebra. X and Y, which are real-number unknowns, as well as z, which are complex-number unknowns, as well as t, r, and s are frequently used variables (arc length).

Given

-4x-(-10 - 8x) = -(12x-14)

-4x + 10 + 8x = -12x + 14

4x + 10 = 14 - 12x

4x + 12x = 14 - 10

16x = 4

x = 4/16

x = 1/4

Thus, Option C is correct, x = 1/4

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Answer:

Part 1: x = -2

Part 2: x = 56

Step-by-step explanation:

Part 1:

12x + 9 = -15

Given that-

12x + 9 = -15

12x + 9 - 9 = -15 -9                >> Subtract 9 to both sides

12x = -24

12x/12 = -24/12                    >> Divide both sides by 12

x = -2

Check Answer:

12(-2) + 9 = -15                 >> 12 × -2 = -24

-24 + 9 = -15                   >> -24 + 9 = -15

-15 = -15                        >> Correct

Part 2:

x/7 - 4 = 4

Given that-

x/7 - 4 = 4

x/7 - 4 + 4 = 4 + 4                 >> Add 4 to both sides

x/7 = 8                

7x/7 = 8 × 7                             >> Multiply both sides by 7

x = 56

Check Answer-

Substitute x in the equation the check.

56/7 - 4 = 4              >> 56/7 = 8

8 - 4 = 4                  >> 8 - 4 = 4

4 = 4                        >> Correct

RevyBreeze

You did not post enough information.

Answer:

The total number of nails in Susan's box is 660 nails

Step-by-step explanation:

The given parameters are;

The number of small nails in John's box = 65

The number of medium nails in John's box = 40

The number of large nails in John's box = 45

The number of medium nails in Susan's box = 176

The ratio of the nails in John's box  is given as follows;

The ratio of small nails in John's box = 65/(65 + 40 + 45) = 13/30

The ratio of medium nails in John's box = 40/(65 + 40 + 45) = 4/15 = 8/30

The ratio of large nails  in John's box = 45/(65 + 40 + 45) = 3/10 = 9/30

Given that the proportion of the nails in John's box and Susan's box are the same, we have;

The ratio of medium nails in Susan's box =  8/30

Therefore;

Where the total number of nails in Susan's box = X, we have;

8/30 × X = 176

X = 176 × 30/8 = 660 nails

The total number of nails in Susan's box = 660 nails.

Using proportions, it is found that the total number of nails in Susan's box was 660.

---------------

---------------

Since the proportions are equal:

\(\frac{40}{150} = \frac{176}{x}\)

\(40x = 150\times176\)

\(x = \frac{150\times176}{40}\)

\(x = 660\)

The total number of nails in Susan's box was 660.

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Answer:

3.15GB

Step-by-step explanation:

1000MB = 1GB

1000MB*5 = 5000MB

5000/100*37% = 1850MB USED

SO, 5000-1850 = 3150MB = 3.15GB

Answer:

(-1,12)

Step-by-step explanation:

let R be(x,y)

Q(4,5)=midpoint

R(x,y)=(x1,y1)

p(9,-2)=(x2,y2)

now,

(4,5)= x1+x2/2 , y1+y2/2

(4,5)= x+9/2 , y-2/2

so,

x+9/2=4              y-2/2=5

x+9=8                  y-2=10

x= -1                      y=12

therefore, R(x,y)= (-1,12)

Answer: 22.5° F at 12 noon

Step-by-step explanation:

If it is already 12° F. at 5:00 am then there is only 7 hours to go till 12 noon. So if there is only 7 hours to go and it rises 1.5° F per hour, you would take 1.5 times 7 hours left and get that it will rise 10.5° F in that 7 hours and it is already 12° F so they will combine to make it 22.5° F at 12 noon.

The equation of the number of pages is y = 40 + 10x and for 9 days, you read 130 pages

From the question, we have

Initial number of pages = 40

Rate per day = 10 pages per day

The equation of the number of pages is then represented as

y = Initial number of pages + Rate per day x Number of days

Substitute the known values in the above equation, so, we have the following representation

y = 40 +10 * x

Evaluate

y = 40 + 10x

For 9 days, we have

x = 10

This gives

y = 40 +10 * 9

Evaluate

y = 130

Hence, the number of pages is 130

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The dependent variable in the study where participants were instructed to walk an additional 0.5 miles, 1 mile, or 1.5 miles every day, whereas others were told to go about their normal daily routine with no additional exercise is the change in physical fitness level. However, let's first understand:

what a dependent variable is?

Dependent variable: A dependent variable (DV) is a variable in an experiment or study whose variation or outcome is the effect being studied or measured by the researchers. It is what changes as a result of the variation in the independent variable. The researchers compare the results obtained from the dependent variable across the different groups or conditions to draw conclusions about the effect of the independent variable.

In this study, participants were either instructed to walk an additional 0.5 miles, 1 mile, or 1.5 miles every day or go about their normal daily routine with no additional exercise. The physical fitness level is the dependent variable in the study as it is what changes as a result of the variation in the independent variable, which is the walking instruction given to the participants.

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The estimated crop yield from the simulation is 443 (option b).

To estimate the crop yield from the given random numbers, we need to assign a specific meaning to each random number. Let's assume that each random number represents the crop yield for a particular year.

Given random numbers: 37, 23, 92, 01, 69, 50, 72, 12, 46, 81

To find the estimated crop yield, we sum up all the random numbers:

37 + 23 + 92 + 01 + 69 + 50 + 72 + 12 + 46 + 81 = 443

Therefore, the estimated crop yield from the simulation is 443. The correct option is b.

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If Noelia has a milkshake then She will not have icecream.

1) Considering the statements

P = Noelia eats ice cream

Q = Noelia has a milkshake

~P = Noelia doesn't /will not eat ice cream (Denies P)

2) Since we have a Conditional Statement, we can write the following translating into words

3) If Noelia has a milkshake then She will not have icecream. The last option is the right option to turn the logic notation into the current language. Since ~p denies the statement p.

Not including a variable that should be in a regression equation can lead to omitted variable bias, biased parameter estimates, and reduced model accuracy, which can have significant implications for interpreting and using the model's results.

Not including a variable that should be in a regression equation can lead to several issues.

Omitted variable bias occurs when a relevant variable is excluded from the regression equation. This can cause the coefficients of the included variables to be biased, as they may inadvertently capture the effects of the omitted variable.

Biased parameter estimates result from not accounting for the omitted variable's influence on the dependent variable. This can lead to misleading conclusions about the relationships between the variables in the model.

Reduced model accuracy is another consequence of excluding a relevant variable. The model's predictive power and goodness of fit can be negatively affected, making the model less reliable for decision-making purposes.

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The equation log₂(x - 1) = x³ - 4x has one solution at x = 2.

To determine the solutions to the equation log₂(x - 1) = x³ - 4x, we can set the two expressions equal to each other:

log₂(x - 1) = x³ - 4x

Since we know that the graphs of the two functions intersect at the points (2, 0) and (1.1187, -3.075), we can substitute these values into the equation to find the solutions.

For the point (2, 0):

log₂(2 - 1) = 2³ - 4(2)

log₂(1) = 8 - 8

0 = 0

The equation holds true for the point (2, 0), so (2, 0) is one solution.

For the point (1.1187, -3.075):

log₂(1.1187 - 1) = (1.1187)³ - 4(1.1187)

log₂(0.1187) = 1.4013 - 4.4748

-3.075 = -3.0735 (approx.)

The equation is not satisfied for the point (1.1187, -3.075), so (1.1187, -3.075) is not a solution.

Therefore, the equation log₂(x - 1) = x³ - 4x has one solution at x = 2.

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The area of the regular hexagon is 150√3 square centimeters.

The formula for the area of a regular hexagon is:

A = (3√3 / 2) × s²

where A is the area, s is the side length, and √3 is the square root of 3.

In this problem, the side length is given as 10 centimeters, so we can substitute that into the formula:

A = (3√3 / 2) × 10²

A = (3√3 / 2) × 100

A = 150√3

However, the apothem is also given as 5√3 centimeters, and we can use that to check our answer. The formula for the area of a regular hexagon can also be expressed as:

A = (1/2) × apothem × perimeter

where the perimeter is equal to 6 times the side length. Substituting in the values we have:

A = (1/2) × 5√3 × 6 × 10

A = 150√3

So our answer is consistent with the alternative formula for the area of a regular hexagon. Therefore, the area of the regular hexagon is 150√3 square centimeters.

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Answer:

I'm not 100 % sure but I think is zero

Answer:

The answer is -5 + 5= 0 Or its A

Answer:

It's most likely spposed to be 22

Step-by-step explanation:

Answer: 91.65

Part 1: You will need to find the average by adding 108, 72, and 95. This will give you 275. Now you divide the sum by the amount of numbers there are which is 3 numbers. 275/3 would be 91.6

Part 2: Now that you have all four numbers you should repeat the process, 108 + 72 + 95 + 91.6 which is 366.6 now divide by four, and you have 91.65.

Let me know if this was correct!

The expected number of airplanes circling the airport, waiting in queue for clearance to land, if this new radar system were to be used is zero.

The new radar system is being considered as a means of reducing congestion, which implies that there is currently an issue with congestion at the airport. One way to reduce congestion is to process planes at a faster rate, which is exactly what the new radar system aims to do.

The statement "planes can be processed at a constant rate of 15 per hour (i.e., the variance is zero)" indicates that the system is able to process planes at a consistent rate of 15 per hour, with no variation in this rate. This means that there should be no planes waiting in queue for clearance to land, as they can all be processed at the constant rate of 15 per hour. Therefore, the expected number of airplanes circling the airport and waiting in queue for clearance to land is zero.

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Answer:

C(p) = 0.25p + 5

Step-by-step explanation:

$5 is the amount of money you have to pay when you don't get a pumpkin (a pumpkin that's 0 lbs), so the y-intercept is 5. 0.25 is the rate at which the price increases as the weight increases, so the slope is 0.25.

m = slope, b = y-intercept

C(p) = mp + b

C(p) = 0.25p + 5

-1/7, since parallel lines have equal slopes.

Answer:

3,-3

Step-by-step explanation:

The coordinates are 3 and -3. x is 3 and y is -3.

Answer:

(3,-3)

Step-by-step explanation:

as the answer is at down of x axis

The percent frequency for S&P 100 companies in the Consumer Staples sector is 8.2%

From the pie chart of the dataset (see attachment for the pie chart), we have:

Consumer Staples = 8.2%

This means that the percent frequency for S&P 100 companies in the Consumer Staples sector is 8.2%

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Answer:

Step-by-step explanation:

ima a braintlest