please help fill in these..

Answer:

n = 4 is 10

hope it helps and have a good day

Step 1: Write the dividend and divisor:

\(\sf\:\frac{{x^3 - 8x^2 + 6x + 41}}{{x - 4}} \\ \)

Step 2: Divide the first term of the dividend by the first term of the divisor:

\(\sf\:\frac{{x^3}}{{x}} = x^2 \\ \)

Step 3: Multiply the divisor (x - 4) by the result (x^2):

\(\sf\:(x - 4) \cdot (x^2) = x^3 - 4x^2 \\ \)

Step 4: Subtract the result from the original dividend:

\(\sf\:(x^3 - 8x^2 + 6x + 41) - (x^3 - 4x^2) = -4x^2 + 6x + 41 \\ \)

Step 5: Bring down the next term from the dividend:

\(\sf\:\frac{{-4x^2 + 6x + 41}}{{x - 4}} \\ \)

Step 6: Repeat steps 2-5 with the new dividend:

\(\sf\:\frac{{-4x^2}}{{x}} = -4x \\ \)

\(\sf\:(x - 4) \cdot (-4x) = -4x^2 + 16x \\ \)

\(\sf\:(-4x^2 + 6x + 41) - (-4x^2 + 16x) = -10x + 41 \\ \)

Step 7: Bring down the next term from the dividend:

\(\sf\:\frac{{-10x + 41}}{{x - 4}} \\ \)

Step 8: Repeat steps 2-5 with the new dividend:

\(\sf\:\frac{{-10x}}{{x}} = -10 \\ \)

\(\sf\:(x - 4) \cdot (-10) = -10x + 40 \\ \)

\(\sf\:(-10x + 41) - (-10x + 40) = 1 \\ \)

Step 9: There are no more terms to bring down, so the division is complete.

Step 10: Write the final result:

The quotient is \(\sf\:x^2 - 4x - 10\\\) and the remainder is 1.

Therefore, the division of \(\sf\:(x^3 - 8x^2 + 6x + 41) by (x - 4) \\\) is:

\(\sf\:(x^3 - 8x^2 + 6x + 41) ÷ (x - 4) \\ \) \(\sf\:= x^2 - 4x - 10 + \frac{{1}}{{x - 4}} \\ \)

Answer:x=bx2 is the answer

Step-by-step explanation:

Answer:

3 · |x+6|

Step-by-step explanation:

Write out what you see. "Three times" is 3 · something; "the absolute value of the sum of a number and 6" is |number + 6|. We'll use x for our number. Put it all together and you get 3 · |x+6|

The expression of the statement, Three times the absolute value of the sum of a number and 6 is  \(\[3\left| n+6 \right|\]\) .

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The solution of the function 3f(1) - 4g(-2)  is -19.

The functions can be solved as follows;

f(x) = 7x - 4

g(x) = 11 - x²

Therefore, let's solve the composite function as follows:

A composite function is generally a function that is written inside another function.

Hence,

3f(1) - 4g(-2) = ?

f(1) = 7(1) - 4 = 7 - 4 = 3

g(-2) = 11 - (-2)² = 11 - 4 = 7

Therefore,

3f(1) - 4g(-2) = 3(3) - 4(7) = 9 - 28 = -19

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Answer:

The graph answer choices are needed to answer this question, otherwise no one can help you.

Step-by-step explanation:

From the graph attached below, the solution to the system of linear inequalities are (1, 4)

A system of linear inequalities is a collection of linear inequalities in the same variables. The solution is any ordered pair that satisfies each of the inequalities.

In the problem given;

y < - x + 5 ...eq(i)

y ≥ 3x + 1 ...eq(ii)

To determine the solution to the system of linear inequalities, it is easier for us to use graphical method. This is simply done by plotting the points and determine the coordinate at which both inequalities intersect.

From the graph of the system of linear inequalities, the solution to this is (1, 4) which is option E

Kindly find attached graph below

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Answer:

the probability would be 3/8

Step-by-step explanation:

Since there are 3 red and 5 green, there is a total of 8 balls in the bag making it a chance of 3/8 to get a red ball. You're Welcome :) <3

Probability of picking a red ball is  \(\frac{3}{8}\)

Probability of getting head coin is  \(\frac{1}{2}\)

"Probability is the possibility or chance of an event to occur." Ratio of number of favorable outcomes and total number of favorable outcomes is called probability.

We have,

Red balls = 3

Green balls =5

Formula for probability

 \(\frac{Number of Favorable Outcomes}{Total Number of Favorable Outcomes}\)

Total number of outcomes n(S) = 8

Number of favorable outcomes for getting a red ball n(E) = 3

Probability of picking a red ball

= \(\frac{Number of Favorable Outcomes}{Total number of Favorable Outcomes}\)

= \(\frac{3}{8}\)

We have a fair coin,

Total number of outcomes n(S) = 2

Number of favorable outcomes for getting head n(E) = 1

Probability of getting head coin

= \(\frac{Number of Favorable Outcomes}{Total Number of Favorable Outcomes}\)

= \(\frac{1}{2}\)

Hence, Probability of picking a red ball is  \(\frac{3}{8}\)

Probability of getting head coin is  \(\frac{1}{2}\).

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The profit function for a furniture company introducing a new line of lounge chairs is P(x) =\(-8.32x^2 + 1,248x - 36,400\), where x represents the number of chairs to be manufactured and sold.

The problem provides the revenue function and cost function for a furniture company introducing a new line of lounge chairs. To find the profit function, we need to subtract the cost function from the revenue function.

The revenue function R(x) is given as 1,248x - \(8.32x^2\), where x represents the number of chairs manufactured and sold. This function calculates the total revenue obtained by the company by multiplying the number of chairs sold (x) by the price of each chair (1,248 - 8.32x).

The cost function C(x) is given as 36,400 - 83.2x. This function calculates the total cost incurred by the company to manufacture x chairs, which includes both fixed and variable costs.

To find the profit function for the furniture company, we need to subtract the cost function C(x) from the revenue function R(x):

P(x) = R(x) - C(x) = (1,248x - \(8.32x^2\)) - (36,400 - 83.2x)

Simplifying this expression, we get:

P(x) =\(-8.32x^2\) + 1,248x - 36,400

Therefore, the profit function for the furniture company is P(x) = \(-8.32x^2\) \(+ 1,248x - 36,400\).

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Each person will sell 8 shirts if 56 shirts were sold

Mandy and 6 of her teammates each sold an equal number of shirt

Mandy is one person, let add 1 plus six to get the total number

1 + 6

= 7

The total number of shirts sold is 56 shirts

Since there are 7 people, the number of shirt that each person will sell can be calculated by dividing 56 by 7

= 56/7

= 8

Hence 8 shirts will be sold by each person

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Answer:

9

Step-by-step explanation:

Multiply 2/5 by three, creating 6/15. subtract 15 by 6, 15-6=9

Answer:

7

Step by step explanation:

1. multiply both sides by 3

          3(x+5)/3 =4 x 3

2. Simplify

   x + 5=12

3. Subtract 5 from both sides

   x+5-5=12-5

4. Simplify

  7

The diagonal of the rectangular box will be 9.7 inches.

Given that:

Length, L = 3 inches

Width, W = 2 inches

Height, H = 9 inches

The diagonal of the rectangular prism is given as,

d² = L² + W² + H²

The diagonal of the rectangular box will be calculated as,

d² = 3² + 2² + 9²

d² = 9 + 4 + 81

d² = 94

d = √94

d = 9.7 inches

The diagonal of the rectangular box will be 9.7 inches.

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Answer:

−5(x+2)=−4x−12−x+2

Step-by-step explanation:

1) −5(x+2)=−4x−12−x+2

−5x−10=−4−10−x

-5x= -5x

0=0

so, it is true for all values

Answer:

Step-by-step explanation:

Answer:

https://brainly.com/invite/7572c22d605dca5f994821814911b9d2?utm_source=invite&utm_medium=link&utm_campaign=bfp_parental_feed&utm_term=parent

Step-by-step explanation:

Answer:

(f+g)(x)= 9x² + 9x

(f+g)(3) = 108

Step-by-step explanation:

f(x)=8x² +7x

g(x)= x² +2x

(f+g)(x) = f(x) + g(x) = 8x² +7x +x² +2x = 9x² + 9x

(f+g)(x)= 9x² + 9x

(f+g)(3)= 9*3² + 9*3 = 108

Answer:

No

Step-by-step explanation:

10 is not less than 6, so 10 < r when r=6 is not true.

Answer:

  209.25 ft²

Step-by-step explanation:

The area of the composite figure is the sum of the areas of its parts. Those parts are a triangle, rectangle, and semicircle.

__

The area formula is ...

  A = 1/2bh

  A = 1/2(6 ft)(10 ft) = 30 ft²

The area formula is ...

  A = bh

  A = (14 ft)(10 ft) = 140 ft²

The area formula is ...

  A = 1/2πr² . . . . where radius r is half the diameter

  A = 1/2(3.14)(5 ft)² = 39.25 ft²

The sum of the areas of the parts is ...

  total area = (30 +140 +39.25) ft² = 209.25 ft²

Here the positive intercept should be considered as the -1 and 5.

Since X-Intercept shows the landing point i.e. bottom of the cliff since all x intercepts contains a y value of 0.

In this case it would be 0 feet.

So,

\(h(x)= -16x^2-16x+80x+80\)

h(x)= -x(16x-16) +5(16x+16)

h(x)= (-x+5)(16x+16)

x intercepts = -1 and 5

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Answer:

8.7

Step-by-step explanation:

Use trigonometry. The ladder and the building form a right triangle with the ground. You are given the length of the hypotenuse and the base angle. You use sine since we are trying to figure out the opposite side from the angle and we have the hypotenuse length. Sin = opposite/hypotenuse. So in this case, sin 60°= x/10. We solve for x by multiplying both sides by 10. Now x= sin 60° (10) = (0.8660)(10) = 8.7 m.

Step-by-step explanation:

A=102cm2

A=Lengthxbreadth

102=Lengthx6

Length=17 cm

Answer:

186.

Step-by-step explanation:

By multiplying six by thirty one, you'll get every single way the instructor can choose six students from a class of thirty one students for a field trip.

The number of different ways that an instructor can choose 6 students from a class of 31 students for a field trip is 186.

We have a number of different ways that an instructor can choose 6 students from a class of 31 students for a field trip.

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.

By multiplying six by thirty-one, you'll get every single way the instructor can choose six students from a class of thirty-one students for a field trip.

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The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

Step-by-step explanation:

We have the number:

This can be expressed in terms of "m" using the rule:

The factors are:

Answer:

Answer: 18

Step-by-step explanation:

Do 120 x 15%

Answer:

18

Step-by-step explanation:

15% is 15 out of 100, so in decimal form it would be 0.15. if you multiply 0.15 by 120 (0.15 * 120) you would get 18.

Answer: - 21/16 = 15/16 (simplified)

= - 1.3125 convert decimal to fraction

= - 13125/10000

= - 21/16 = 15/16  (simplified)