Charles needs to determine whether x+2 is a factor of f(x)=2x^4 -3x^3 +5x -16 .

How can Charles use the factor theorem to determine whether x+2 is a factor of f(x)?

Fill in the blanks using the word bank below:

f(-2) f(2) f(4) 30 2 320 is is not

Charles evaluates ________________ and determines its value to be______________Charles concludes that ______________ factor of .

Answer:

Below.

Step-by-step explanation:

10.

a) RT is a half of RG so RG = 18 x 2 = 36 (if you’re asking why, search up the properties of a rectangle.)

b) HI = RG (if you’re asking why, search up the properties of a rectangle.)

—> 4x + 12 = 10x - 15

—> 27 = 6x —> x = 27/6 = 4.5

11. Since this is a parallelogram —> angle PSR = angle PQR (if you’re asking why, search up the properties of a parallelogram.)

We also have PS = QR and PQ = RS (if you’re asking why, search up the properties of a parallelogram.)

In triangles PQR and RSP:

QR = SP (from above)

PQ = SR (from above)

<PSR = <PQR (from above)

—> Triangle PQR and triangle RSP are congruent (side angle side)

The contribution margin rate is 40%.

What is contribution margin rate?

A company's contribution margin rate is the total revenue minus variable costs divided by the revenue.

First we need to determine the contribution margin in order to calculate the contribution margin rate. There are two approaches to determine the contribution margin.

Contribution Margin = $15 - $9 = $6

The contribution margin is $6.

Now we will calculate the contribution margin rate using this formula,

Contribution Margin Rate = Contribution Margin \(/\) Sales Revenue

Contribution Margin Rate = $6 / $15

                                             = 0.4 * 100

                                             = 40%.

Hence the contribution margin rate is 40%.

To learn more about contribution margin rate from the given link

https://brainly.com/question/24039258

#SPJ1

The following food-cost problems:

FC ÷ FC % = SP: 2.75 ÷ 25% = 11.

FC ÷ SP = FC %: 3.80 ÷ $15.00 = 25.33%.

SP x FC % = FC: 24.00 x 21% = 5.04.

To complete the food-cost problems, we will apply the given formulas and solve for the missing values.

FC ÷ FC % = SP

Given: FC = 2.75, FC % = 25%

Substituting the values into the formula, we have:

2.75 ÷ 25% = SP

To divide by a percentage, we convert the percentage to a decimal by dividing it by 100:

2.75 ÷ 0.25 = SP

Simplifying the division, we get:

11 = SP

Therefore, the selling price (SP) is 11.

FC ÷ SP = FC %.

Given: FC = 3.80, SP = $15.00

Substituting the values into the formula, we have:

3.80 ÷ $15.00 = FC %

To divide by a dollar amount, we can simply perform the division:

0.2533... = FC %

Therefore, the food cost percentage (FC %) is approximately 25.33%.

SP x FC % = FC

Given: SP = 24.00, FC % = 21%

Substituting the values into the formula, we have:

24.00 x 21% = FC

To multiply by a percentage, we convert the percentage to a decimal by dividing it by 100:

24.00 x 0.21 = FC

Simplifying the multiplication, we get:

5.04 = FC

Therefore, the food cost (FC) is 5.04.

In summary:

2.75 ÷ 25% = 11

3.80 ÷ $15.00 = 25.33%

24.00 x 21% = 5.04

For similar question on selling price.

https://brainly.com/question/16710746  

#SPJ8

Answer:

(B)

Step-by-step explanation:

Answer:

I think it might be $36,360.06

Step-by-step explanation:

1365 batting orders  are possible for the game.

Given,

In the question:

In a cricket match, you have a squad of 15 players and you need to select 11 for a game.

To find the how many batting orders are possible for the game?

Let's Know:

What are combination?

Combinations are also referred to as selections. Combinations imply the selection of things from a given set of things. In this case, we intend to select the objects.

Combination formula

ⁿCr = n! / ((n – r)! r!

n = the number of items.

r = how many items are taken at a time.

Substitute the values in above formula :

15! / 11! (15 - 11)!

= 15! / 11! 4!

= 15 × 14 × 13 × 12 / 4 × 3 × 2

= 1365 orders

Hence, 1365 batting orders  are possible for the game.

Learn more about combinations on:

https://brainly.com/question/28720645

#SPJ1

Answer:

b = 12

Step-by-step explanation:

b/3 + 4 = 8

subtract 4 on both sides

b/3 = 4

multiply 3 with 4

b = 12

Answer:

y=-2x-4

Step-by-step explanation:

by using this website

its a graphing calculator

desmos. com/calculator

Answer:

108 feet

Step-by-step explanation:

multiply both 6 and 8 by 1.5 then bultiply the new awnsers of 9 and 12 together to get 108

Quadrilateral JKLM has sides with equal lengths (√85), and the slopes of opposite sides are equal. However, it is not a special type of quadrilateral like a rectangle or a square.

To describe quadrilateral JKLM, let's first plot the given points J(9, 7), K(2, 1), L(0, -8), and M(7, -2) on a coordinate plane:

J(9, 7) K(2, 1)

L(0, -8)   M(7, -2)

To find the slopes and lengths of each side of the quadrilateral, we can use the distance formula and the slope formula.

Slope of JK:

Slope (m) = (change in y) / (change in x)

m(JK) = (7 - 1) / (9 - 2) = 6/7

Length of JK:

Length (d) = √[(x2 - x1)^2 + (y2 - y1)^2]

d(JK) = √[(9 - 2)^2 + (7 - 1)^2] = √(49 + 36) = √85

Slope of KL:

m(KL) = (-8 - 1) / (0 - 2) = -9/2

Length of KL:

d(KL) = √[(0 - 2)^2 + (-8 - 1)^2] = √(4 + 81) = √85

Slope of LM:

m(LM) = (-2 - (-8)) / (7 - 0) = 6/7 (same as slope of JK)

Length of LM:

d(LM) = √[(7 - 0)^2 + (-2 - (-8))^2] = √(49 + 36) = √85

Slope of MJ:

m(MJ) = (7 - (-2)) / (9 - 7) = 9

Length of MJ:

d(MJ) = √[(7 - 9)^2 + (-2 - (-8))^2] = √(4 + 36) = √40

Based on the calculations, we can describe quadrilateral JKLM as follows:

The slope of JK and LM is 6/7.

The slope of KL is -9/2.

The slope of MJ is 9.

The length of each side (JK, KL, LM, MJ) is √85.

The quadrilateral is not a rectangle or a square since the slopes of opposite sides (JK and LM) are not perpendicular.

For more such question on Quadrilateral. visit :

https://brainly.com/question/23935806

#SPJ8

Answer:B all integers

Step-by-step explanation: took the test

The option second all integers are correct because for every value of the x the function will always give an integer value.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function

f(x)= 4[X-3]+ 2

f(x) represents the greatest integer function, which means for every value of the x the function will always give an integer value.

The function will be discontinuous for all integers.

Thus, the option second all integers are correct because for every value of the x the function will always give an integer value.

Learn more about the function here:

brainly.com/question/5245372

#SPJ2

The answer to this question is a 4 point increase. This is because the change in value of the stock is measured based on the difference between the current value and the previous value.

It is determined by the supply and demand of buyers and sellers in the market. The price of a stock can fluctuate daily and is a reflection of the market's opinion of the company. It is important for investors to keep track of stock prices in order to make informed decisions about their investments.

In this case, the stock price increased from 1 point to 4 points, indicating a 4 point increase.

This can be expressed mathematically as follows:

Change in stock price = Current Value - Previous Value

Change in stock price = 4 - 1

Change in stock price = 3

Therefore, the stock's value increased by 4 points. This is because the change in value is calculated by subtracting the previous value from the current value.

In this case, the stock price increased by 3 points, resulting in a 4 point increase.

For more questions related to stock price

https://brainly.com/question/29362234

#SPJ1

Answer:

y = -6x + 8

Step-by-step explanation:

\begin{bmatrix}6x+y=8\\ y=-6x+8\end{bmatrix}

I don't know why it came out like this

Answer:

Coefficients are 6 and 4. The exponents are 3 and 1.

Step-by-step explanation:

The coefficient of a term is the number next to variable, the number that the variable is multiplied by.

Remember that if you are subtracting by a term, you are adding the "negative" term.

Meaning:

6x³ - 4x = 6x³ + (-4x)

The exponent of a term is the power (the little number on top). When the exponent (power) is not shown, it is just 1.

Meaning:

-4x = -4x¹

The expected total dollar net operating Income for next year = $70,000

1) The contribution format income statement for the game last year, and the degree of operating leverage is computed below:

Contribution format income statement for the game last year Sales (15,000 × $20) = $300,000

Variable expenses (15,000 × $6) = $90,000

Contribution margin = $210,000

Fixed expenses = $182,000Net operating income = $28,000

Degree of operating leverage = Contribution margin / Net operating income= $210,000 / $28,000= 7.5 2)

The expected percentage increase in net operating income for next year:

The expected sales in next year = 18,000

games selling price per game = $20

Therefore, Total sales revenue = 18,000 × $20 = $360,000

Variable expenses = 18,000 × $6 = $108,000

Fixed expenses = $182,000

Expected net operating income = Total sales revenue – Variable expenses – Fixed expenses

= $360,000 – $108,000 – $182,000= $70,000

The expected percentage increase in net operating income = (Expected net operating income - Last year's net operating income) / Last year's net operating income*100= ($70,000 - $28,000) / $28,000*100= 150%

The expected total dollar net operating income for next year = $70,000

To know more about Income.

https://brainly.com/question/30467914

#SPJ8

Answer:

25/4

Step-by-step explanation:

The expansion of (3x-4y)¹¹ using Pascal's Triangle is:

177147x¹¹ - 2598156x¹⁰y - 17321040x⁹y² - 69284160x⁸y³ - 184757760x⁷y⁴ -  344881152x⁶y⁵ - 458941536x⁵y⁶ - 437944320 x⁴y⁷ - 291962880x³y⁸ - 129761280x²y⁹ + 34603008xy¹⁰ - 4194304y¹¹.

So, the expression is:

Now, use Pascal's Triangle to expand as follows:

Therefore, the expansion of (3x-4y)¹¹ using Pascal's Triangle is:

177147x¹¹ - 2598156x¹⁰y - 17321040x⁹y² - 69284160x⁸y³ - 184757760x⁷y⁴ -  344881152x⁶y⁵ - 458941536x⁵y⁶ - 437944320 x⁴y⁷ - 291962880x³y⁸ - 129761280x²y⁹ + 34603008xy¹⁰ - 4194304y¹¹.

Know more about Pascal's Triangle here:

https://brainly.com/question/13670757

#SPJ13

Answer:

2 km and half is 2500 meters

Slope of the given data is 579.88

The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line.

Here, given data;

            x₁ = 2009                   y₁ = 12078 burger

            x₂ = 2017                    y₂ = 16717 burger

Now, Slope = (y₂ - y₁)/(x₂ - x₁)

         Slope = (16717 - 12078) / (2017 - 2009)

         Slope = 4639 / 8

         Slope = 579.88

Thus, Slope of the given data is 579.88

Learn more about Slope from:

https://brainly.com/question/3605446

#SPJ1

Answer:

14.2% students

Step-by-step explanation:

279 / 1960 = 0.142

0.142 x 100% = 14.2 %

Answer:

2. ad is the angle bisector of angle a

3. ad is perpendicular to bc

4. both are right angles as given

5. common

6. ASA congruence

Answer:

he spent 2hours 50minutes snowboarding

the time he spent skiing and snowboarding minus the time he skied

5hours minus 2hours 10minutes

Answer:

It is

Step-by-step explanation:

If a is positive and b is greater than 1 , then it is exponential growth. If a is positive and b is less than 1 but greater than 0 , then it is exponential decay.

Answer:

77% decrease

Step-by-step explanation:

Answer:

The numbers are 10 and 139.

Step-by-step explanation:

Assuming you have two numbers you need to search for, let's label them as x and y.

x is 19 more than 12 times y. We can rearrange this to be x = 19 + 12y. This will be our first equation. It is then stated that their sums, or x + y, is equal to 149. We have two equations now:

Because x is already separated, we can plug equation (1) into equation (2).

(19 + 12y) + y = 149

Because there is nothing in the parentheses that we can combine, we can remove them and begin combining like terms.

19 + 12y + y = 149

19 + 13y = 149

We subtract 19 from both sides to begin to isolate the variable y.

13y = 130

y = 10

Because we have obtained y, we can plug it back into equation (2) to obtain x.

x + y = 149

x + (10) = 149

x = 139

Given:

To determine the roots, we let f(x)=0 first:

Next, we find factor of the equation:

Then, we use quadratic formula for x^2-x-1=0:

We plug in what we know:

Hence,

We also get the x value of x+4=0:

Therefore, the answer is:

Answer:

\(3a^{b} *\sqrt{3} +2a*\sqrt{3b}\)

Step-by-step explanation:

\(\sqrt{3^{2}*3a^{2b} } +a*\sqrt{2^{2} *3b} \\\sqrt{3^{2} *a^{2b} *3} +a(\sqrt{2^{2} *\sqrt{3b} } )\\\)

Result:

\(3a^{b} *\sqrt{3} +2a*\sqrt{3b}\)

Answer:

-6

Step-by-step explanation:

Let "what" be termed as "x".

Set the equation:

3 * x = -18

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Divide 3 from both sides:

(3x)/3 = (-18)/3

x = -18/3

x = -6*

*Note: When you divide a negative number with a positive number, your answer will be negative.

-6 is your answer.

~

The value of number which is 3 times to -18 is -6 .

Given,

3 *x = -18

So,

Let "what" be termed as "x".

Form the equation including the variable x ,

3 * x = -18

Isolate the variable, x.

Note the equal sign, what you do to one side, you do to the other. Divide 3 from both sides:

(3x)/3 = (-18)/3

x = -18/3

x = -6

-6 is the required answer .

Know more about equations,

https://brainly.com/question/20906227

#SPJ6

The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.