What is the remainder when the polynomial f(x)=3x^3-4x^2+2x+8 is divided by (x-5)

Answer:

slope=-3  

y=-3x+5

Step-by-step explanation:

use two given points (3,-4)(0,5)

5- -4= 9

0-3=-3

9/-3=-3

Answer: [tex]y+4=-3(x-3)[/tex]

Step-by-step explanation:

The point-slope equation of a straight line is:

[tex]y-y_{1}=m(x-x_{1}  )[/tex]

where m is the slope and [tex](x_{1}, y_{1}  )[/tex] are the coordinates of a point in the line.

So, to find the equation, the firs step is to find the slope. We can see in the graphic that the line intercepts the y axis at the point (0, 5), so we're going to use that and the other given point to find the slope:

[tex]m=\frac{y_{2}-y_{1}  }{x_{2}-x_{1}} =\frac{-4-5}{3-0} =\frac{-9}{3}=-3[/tex]

Then, you simply substitute the slope and the coordinates of the point and you get the point-slope equation:

[tex]y-(-4)=-3(x-3)\\y+4=-3(x-3)[/tex]

Answer:

For every 15 students scoring in the 60's there were 9 students scoring in the 70's.

Step-by-step explanation:

Your first step would be to rewrite the numbers into an easier to understand form like fractions, 45/3 and 27/3. Then you divide both numbers by 3, so you get comparable numbers. 45/3= 15, 27/3=9.

[tex]\left\{\begin{array}{ccc}2y+4x=18\\2y-3x=4&\text{add 3x to both sides}\end{array}\right\\\\\left\{\begin{array}{ccc}2y+4x=18&(**)\\2y=3x+4&(*)\end{array}\right\\\\\text{Substitute}\ (*)\ \text{to}\ (**):\\\\3x+4+4x=18\qquad\text{subtract 4 from both sides}\\7x=14\qquad\text{divide both sides by 7}\\\boxed{x=2}\\\\\text{Put the value of x to the first equation:}\\\\2y+4(2)=18\\2y+8=18\qquad\text{subtract 8 from both sides}\\2y=10\qquad\text{divide both sides by 2}\\\boxed{y=5}\\\\Answer:\ \boxed{x=2\ and\ y=5}[/tex]

Answer:

Y=-3x+9

Step-by-step explanation:

Slope is found using

9-3 over 0-2

This gets 6/-2

This gets -3

-3 is the slope

9 is the y-intercept

Answer:

69% or 69/100

Step-by-step explanation:

It's experimental odds based off of experience.

The probability of getting a head on the next flip is 69%.

In order to determine the probability of getting a head on the next flip, we must first analyze the given data. The number of heads obtained in the first 100 flips is 69, while the number of tails is 31. Based on this information, we can calculate the proportion of heads to the total number of flips. The probability of getting a head on the next toss is therefore 69/100 = 0.69 or 69%.

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Answer:

W + 8

Step-by-step explanation:

Given:

The length of the rectangle is 8 cm longer than its width.

Let's take "W" be the width.

Length = W + 8

The expression "w + 8" represents the length of the rectangle.

Thank you.

Answer:

L=W+8

Step-by-step explanation:

This means that whatever number of centimeters the width is, you will always add 8 centimeters in order to reach the size of the length. In order to calculate the perimeter of the rectangle you have to add all its four sides and the final formula would be as follows:

W+W+L+L=P, where W is Width and L, is Length (W+8).

In other words, you can calculate as shown below:

W+W+(W+8)+(w+8)=P

Answer:

14

Step-by-step explanation:

The LCD is the LCM of the denominators, 7 and 2. Since these numbers have no common factors, their LCM is simply their product:

... 7·2 = 14

Answer: 1.44

Step-by-step explanation:

1.2×1.2

1.2

1.2

__

24

120

__

144

Add two decimal places: 1.44

Answer:

1.44

Step-by-step explanation:

1.2^2 = 1.2 * 1.2

1.2 * 1.2 = 1.44

Your just finding the squad route of it. It can also be done the same way when your ^3 or even ^4 since its all timing the same number. Hope this helps out!

To write a linear function with the given values f(3) = -4 and f(5) = -4, we can use the point-slope form of a linear equation. The linear function is y = -4.

To write a linear function with the given values f(3) = -4 and f(5) = -4, we can use the point-slope form of a linear equation. The formula for point-slope form is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope. We can choose any point (x1, y1) from the given values. Let's choose (3, -4) as a point on the line. Now we can substitute the values into the formula to find the linear function:

y - (-4) = m(x - 3)

y + 4 = m(x - 3)

To find the slope, we can use another point on the line, such as (5, -4). Substituting the values into the formula, we get:

-4 + 4 = m(5 - 3)

0 = 2m

Solving for m, we get m = 0.

Now we can substitute the slope and one of the points back into the formula to find the linear function:

y + 4 = 0(x - 3)

y + 4 = 0

y = -4

So, the linear function with the given values is y = -4.

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Given values f(3) = -4 and f(5) = -4 suggest a horizontal line as the y-coordinate remains constant at -4 regardless of x values. Hence, the linear function is f(x) = -4.

The student wants to know how to write a linear function with the values f(3)=-4 and f(5)=-4. The first thing we need to understand here is that a linear function is represented by the equation y = mx + b, where y is the output, m is the slope, x is the input, and b is the y-intercept. In this problem, since f(3) = -4 and f(5) = -4, it indicates that the y coordinate remains the same (-4), thus forming a horizontal line despite the changes in the x coordinates. This means the function has a slope (m) of 0. So, the linear function that satisfies these conditions is f(x) = -4.

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Answer:

8P1 = 8

Step-by-step explanation:

Permutation  

The number of elements can be selected from a set of elements.

Let r be the number of elements want to select and n be the set of elements.

It can be written as nPr

nPr = n!/(n - r)!

To find 8P1

n= 8 and r = 1

8P1 = 8!/(8-1)! = 8!/7! = (8 x 7!)/7! = 8

Therefore 8P1 = 8

Answer:

50 and 26

Step-by-step explanation:

Make an equation! That makes it much simpler and has helped me a lot.

x+x-24=76

Combine like terms

2x+24=76

Add 24 on both sides

2x=52

Divide both sides by 2

x=26

72-26=50

To check that their difference is correct, subtract 26 from 50

50-26=24

Hope this helps!

Answer:

3) TB and NT

4) ∠KLM and ∠MLK

Step-by-step explanation:

3) those two rays intersect to form the angle shown in the diagram

4) an angle can always be named from left to right or right to left as long as the middle letter is always the vertex of the angle

Answer:

[tex]b=4\text { or }b=-2[/tex]

Step-by-step explanation:  

We have been given a rational expression: [tex]\frac{2b^2+3b-10}{b^2-2b-8}[/tex] and we are asked to find the illegal values of b.

Illegal values of b will be those values, which will make our denominator 0.

To solve for illegal or excluded values of b, let us set our denominator equal to 0.

[tex]b^2-2b-8=0[/tex]

We will factor out our equation by splitting the middle term.

[tex]b^2-4b+2b-8=0[/tex]

[tex]b(b-4)+2(b-4)=0[/tex]

[tex](b-4)(b+2)=0[/tex]

[tex]b-4=0\text { or }b+2=0[/tex]

[tex]b=4\text { or }b=-2[/tex]

Therefore, [tex]b=4\text { or }b=-2[/tex] are illegal values of b in the given fraction.

Answer:

6400 fans will be pleased.

Step-by-step explanation:

Out of 150 fans, 120 were pleased. Assuming the same ratio, out of 8000 fans, 8000x120/150 = 6400 will be pleased.

Answer:

6400

Step-by-step explanation:

We need to find the fraction of fans that are pleased

120 out of 150 are please

120/150  = 12/15 =4/5

We multiply this fraction by the fans at the game

4/5 * 8000 = 6400

6400 fans should be pleased

Answer:

306

Step-by-step explanation:

9 times 18= 162

24 times 6= 144

144+162=306

Answer:

11/20

Step-by-step explanation:

Answer:  [tex]\dfrac{11}{20}[/tex] represents the fraction of guests order the signature dish.

Step-by-step explanation:

Since we have given that

Percentage of guest who order the signature dish = 55%

Total percentage = 100

We need to find the fraction of guests order the signature dish.

So, Fraction of guests order the signature dish is given by

[tex]\dfrac{\text{Percentage of guest order the signature dish}}{\text{Total percentage}}\\\\=\dfrac{55}{100}\\\\=\dfrac{11}{20}[/tex]

Hence, [tex]\dfrac{11}{20}[/tex] represents the fraction of guests order the signature dish.

Answer: 30%

Step-by-step explanation:

The first step is to find the increase in numbers

26-20= 6

Now you find the percent. This means you're looking for the percent 6 is equal to when compared to 20. The easiest way is to divide the increase by the original number

6/20= 0.3

To convert that to percent, multiply it by 100

0.3 * 100= 30%

There was a 30% increase.

Final answer:

To calculate the percentage increase of guests from August's first party to the second, subtract the initial number from the final number, divide by the initial number, and multiply by 100. The calculation shows a 30% increase in guests from 20 to 26.

Explanation:

The question asks to calculate the percentage increase in the number of guests from the first dinner party to the second dinner party hosted by August. To find the percentage increase, you subtract the original number of guests from the new number of guests, divide by the original number, and then multiply by 100 to get the percentage.

We start with the initial number of guests at the first party, which is 20, and the final number of guests at the second party, which is 26. Using the formula:

Percentage Increase = ((Final Number - Initial Number) / Initial Number) × 100

Percentage Increase = ((26 - 20) / 20) × 100

Percentage Increase = (6 / 20) × 100

Percentage Increase = 0.3 × 100

Percentage Increase = 30%

Therefore, the percentage increase of the number of guests from the first party to the second party is 30%.

Answer:

Step-by-step explanation:

Basically, in each option, you have to find the relationship between x and y (for one pair). Like in option #1 - how do you get 1.5 from 3? divide it by 2. Now you apply it for all numbers. It the outcome the same? No. 7 ÷ 2 ≠ 3.

You do the same process for all, until you are left with the last one. y = 50x

The last option is the answer.

Answer:

1.  B. BD

2. C. 15

3. A. 2

Step-by-step explanation:

1.  From the figure,

∠DAB = ∠DAC

Therefore, BD is the bisector of ∠ABC.

2.  From the figure, IG = GH

3x = 5x - 10

10 = 5x - 3x

2x = 10

x = 5

So, GH = 5x - 10

= 5(5) - 10

= 25 - 10

= 15

Therefore, GH = 15.

3.  From the figure,

∠DAB = ∠DAC

10y = 8y + 4

10y - 8y = 4

2y = 4

y = 2

Answer:

174 packages of t-shirts    PLEASE GIVE BRAINLIEST

Step-by-step explanation:

139 x 5 = 695 t-shirts are needed

695 ÷ 4 = 173.75

Since you have to purchase whole packages of t-shirts you will need to buy 174 packages of t-shirts.  174 x 4 = 696 t-shirts

174 packages

[tex]\left\{\begin{array}{ccc}3x+6y=-9&\text{divide both sides by (-3)}\\x+2y=-3\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}-x-2y=3\\x+2y=-3\end{array}\right}\qquad\text{add both sides of the equations}\\. \qquad\qquad0=0\qquad TRUE\\\\Answer:\ \boxed{\text{Infinitely many solutions}}\\\\\left\{\begin{array}{ccc}x\in\mathbb{R}\\y=-\dfrac{1}{2}x-\dfrac{3}{2}\end{array}\right[/tex]

Answer:

the answer is

C

if i am wrong let me know

Step-by-step explanation:

[tex]\bf 7\div \cfrac{2}{3}\implies 7\cdot \cfrac{3}{2}\implies \cfrac{7\cdot 3}{2}\implies \cfrac{21}{2}\implies 10\frac{1}{2}~~\checkmark \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{so, what happened to Mario?}}{7\div \cfrac{2}{3}\implies \cfrac{7}{1}\div \cfrac{2}{3}}\implies \stackrel{\boxed{?}}{\cfrac{1}{7}}\cdot \cfrac{3}{2}\implies \cfrac{3}{14}~~\bigotimes[/tex]

he ended up multiplying the 7 by the 2 for some reason.

and an explanation could be he used the reciprocal of both numbers mistakenly.

Answer:

c

Step-by-step explanation:

Answer:

Huma's share =Rs x =  Rs. 1.35392881

Seema's share =Rs. 12x =  Rs (12 *  1.35392881) = Rs. 16.2471457

Hubna's share =Rs. 123*12x =  Rs. (123*16.2471457) = Rs. 1998.39892

Step-by-step explanation:

Given :

Huma , Hubna and Seema received a total of ₨2,016 as monthly allowance from their mother.

Seema gets 12 of what Huma gets

Hubna gets 123 times Seema’s share

To find : How much money do the three sisters get individually?

Solution :

Let  Huma's share be Rs. x.

Since we are given that Seema gets 12 of  Huma's share

⇒ Seema's share = Rs 12x.

Since we are given that Hubna gets 123 times Seema’s share

⇒Hubna's share = Rs. (123 * 12x) = Rs. 1476x.

We are given that they received together Rs. 2016 in total .

⇒[tex]x+12x+1476x= 2016[/tex]

⇒[tex]1489x= 2016[/tex]

⇒[tex]x = \frac{2016}{1489}[/tex]

⇒[tex]x = 1.35392881[/tex]

Thus Huma's share =Rs x =  Rs. 1.35392881

Thus Seema's share =Rs. 12x =  Rs (12 *  1.35392881) = Rs. 16.2471457

Thus Hubna's share =Rs. 123*12x =  Rs. (123*16.2471457) = Rs. 1998.39892

Answer:

option B is correct.

[tex]2\sin^2r - 1[/tex]

Step-by-step explanation:

Given the expression: [tex]1-2\cos^2r[/tex]                      ......[1]

Using trigonometric identities:

[tex]\sin^2r+ \cos^2r = 1[/tex]

We can rearrange this as;

[tex]\cos^2r = 1-\sin^2r[/tex]      ......[2]

Substitute equation [2] into [1] we get;

[tex]1-2(1-\sin^2r)[/tex]

Using distributive property:  [tex]a\cdot (b+c) = a \cdot b + a\cdot c[/tex]

[tex]1- 2 +2sin^2r[/tex]

or

[tex]-1+2\sin^2r[/tex]

therefore, the given expression in terms of sine terms is; [tex]2\sin^2r-1[/tex]

Answer:

Step-by-step explanation:

If you round 4.3 to the nearest whole number, you will get 4.The reason is because a number less than 5 is closer to 4 but a number greater than five or is five will be rounded to five.

Please mark brainliest!!!!!!!

Let's keep in mind the conversion factors between mile, yard, feet and inches:

1 mile = 1760 yards

1 yard = 3 feets

1 feet = 12 inches

a) 3 mi. 26 yd.

We have:

8 mi. 133 yd. 2 ft. –

5 mi. 107 yd. 2 ft =

Here, we can simply do the substraction of each term, and we get:

(8-5) mi  (133-107) yd  (2-2) ft =

3 mi. 26 yd  0 ft =

3 mi. 26 yd.

b) 2 yd. 7 in.

We have:

2 yd. 2 ft. 6 in. –

0 yd.  1 ft. 11 in.

Here, we need to convert 1 feet into 12 inches and add them to the inches in the first term as follows:

2 yd. 2 ft. 6 in. = 2 yd. 1 ft. (6+12) in. = 2 yd. 1 ft. 18 in.

So now the subtraction becomes:

2 yd. 1 ft. 18 in. –

0 yd.  1 ft. 11 in.

and now we can simply do the substraction of each term, and we get:

(2-0) yd.  (1-1) ft.  (18-11) in. =

2 yd. 0 ft. 7 in. =

2 yd. 7 in.

c)  5 yd. 5 in.

We have:

6 yd.  0 ft. 0 in. –

0 yd.  2 ft. 7 in.

We have to "move" 1 yard into  feets and inches in the first term, as follows:

6 yd.  0 ft. 0 in. = 5 yd. 3 ft. 0 in. = 5 yd. 2 ft. 12 in.

And now the subtraction becomes:

5 yd. 2 ft. 12 in. -

0 yd.  2 ft. 7 in. =

5 yd.  0 ft. 5 in. =

5 yd. 5 in.

d) 8 in.

We have:

8 yd. 0 ft. 4 in. –

7 yd. 2 ft. 8 in.

Again, let's convert the first term, moving yards into feets and inches:

8 yd. 0 ft. 4 in. = 7 yd. 3 ft. 4 in. = 7 yd. 2 ft. (4+12) in. = 7 yd. 2 ft. 16 in.

So now the subtraction is:

7 yd. 2 ft. 16 in. -

7 yd. 2 ft. 8 in. =

0 yd. 0 ft. 8 in. =

8 in.

Answer:

123

Step-by-step explanation:

Assuming that 85% of the total was either adults or boys, we can subtract

100-85

=15

Therefore, that 15% is girls

820*.15

=123