use synthetic division to evaluate f(x)=x^3-6x+1 for x=6. f(6)=____​

Answers

Answer 1

Given: x=6

By substituting value of x as 6 in the given expression, we get:

[tex]f(6) = {x}^{3} - 6x + 1[/tex]

[tex]→f(6) = {6}^{3} + (6 \times 6) - 1[/tex]

[tex]→f(6) = 216 - 36 + 1[/tex]

Now, using integer sign property,

[tex]→f(6) = 216 - 35[/tex]

[tex]→f(6) = 181[/tex]

Therefore, f(6)=181


Related Questions

Jill is buying a cookie kit to decorate cookies for her children during the holiday break. She will pay $2.50 per cookie and a $4 service fee. Which equation can be used to find y, the total cost to buy x cookies?

Answers

Answer:

4 + 2.5x=cost

Step-by-step explanation:

hello.. kindly help me. i'm a bit confused because the answer is negative..see the attached picture : D​

Answers

Step-by-step explanation:

When you get negative it is ok.

It means you have a discount here, not really increase but decrease in price.

Here you have:

(1680 - 4200)/4200*100% = - 60%

It is called 60% mark down or 60% discount

gardener will use up to 220 square feet for planting flowers and vegetables. She wants the area used for vegetables to be at least four times the area used for
flowers. Let x denote the area (in square feet) used for flowers. Let y denote the area (in square feet) used for vegetables. Shade the region corresponding to all
values of x and y that satisfy these requirements.

Answers

Step-by-step explanation:

According to the given we have following inequalities:

x + y ≤ 220y ≥ 4x

See the graph attached below.

Solution region is within the triangle with marked vertices.

PLEASE HELP ME WITH THIS QUESTION!!

A military clock has the numbers 1 through 24 evenly spaced around a circular face. What number is directly across from 19?

Answers

Answer:

7

Step-by-step explanation:

On a military clock the difference between a number and it's opposite is always 12

19 - x = 12

19 - 12 = x

7 = x

The number directly across from 19 on a military clock is 17.

How to determine the number directly across from 19 on a military

To find the number directly across from 19 on a military clock, we can subtract 19 from 12 since the clock face is circular with 24 numbers evenly spaced.

12 - 19 = -7

Since we have a negative result, we need to add 24 to it to bring it back into the range of numbers on the clock face.

-7 + 24 = 17

Therefore, the number directly across from 19 on a military clock is 17.

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#SPJ2

Which rational exponent represents a cube root?
A.
O B. 11
o
C.
N-
O D.
14

Answers

i’m pretty sure it’s D, since 11 and a letter wouldn’t make since

Write an equation for each line in slope-intercept form.​

Answers

Answer:

Line 1 : y = -2x - 5

Line 2 : y = -3x + 3

Step-by-step explanation:

note the slope, and then note the y intercept

Answer:

y = - 2x - 5 and y = - 3x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = - 2, - 1) and (x₂, y₂ ) = (0, - 5) ← 2 points on the line

m = [tex]\frac{-5-(-1)}{0-(-2)}[/tex] = [tex]\frac{x- 5+1}{0+2}[/tex] = [tex]\frac{-4}{2}[/tex] = - 2

The line crosses the y- axis at (0, - 5 ) ⇒ c = - 5

y = - 2x - 5 ← equation of line 1

Repeat with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (1, 0) ← 2 points on line 2

m = [tex]\frac{0-3}{1-0}[/tex] = [tex]\frac{-3}{1}[/tex] = - 3

The line crosses the y- axis at (0, 3 ) ⇒ c = 3

y = - 3x + 3 ← equation of Line 2

Which sequence shows the numbers in order from least to
greatest?
OA) -2.45 x 102, 193, 6.987
OB) 6.987, -2.45 x 102, 793
OC) V93, 6.987, -2.45 x 102
OD) -2.45 x 102, 6.987, 793

Answers

Answer:

D

Step-by-step explanation:

Just did it

I will give 20 points

Answers

Answer:

This is like quadratic equation you just say y=1x+-2 and then you get the answer

Round 2,861 to the nearest hundred

Answers

2,900

hope this helps

Hey there!

2,891

= 200,000 + 800 + 90 + 01

= two-hundred thousand, eight hundred ninety one

Thousand:

2,000

Hundred:

900

Tens:

90

Ones:

1

Based on that information we can answer your question

SIMPLIFY IT

ANSWER: 2,900

[2,000 + 900 + 0 + 0]

[two thousand + nine hundred]

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Find an equation for this line?

Answers

Answer:

y = -20/5 or -4/1 + 20 for the equation

question number fifteen​

Answers

Answer:

d. EDC

Step-by-step explanation:

if you mirror the triangle ABC, it fits perfectly with triangle EDC

Write each equation in STANDARD FORM. y=-2/3x+3

Answers

[tex]\huge\underline\mathtt\colorbox{cyan}{2/3x+y+3=0}[/tex]

solve for x. -2(-4+3)-8=2(2+x)

Answers

Answer:

x = − 5

Step-by-step explanation:

Answer:

x=-5

Step-by-step explanation:

-2(-4+3)-8=2(2+x)

8-6-8=4+2x

2x=8-6-8-4

2x=-10

x=5

Can I get some help with these questions?​

Answers

Answer:

For the first question its X=110 For the second question angle AEF is 75 degrees and for angle ADF  is 105 degrees

Step-by-step explanation:

the total angle is 150 so take 4+22 and you get 26 then add 6+8 and you get 14 add 26+14 and you get 40 do 150-40 and you get 110 therefore x=110

The pie chart shows information about the voters in an election 2800 more women voted than men work out the total number of voters

Answers

The angle subtended by the women voters are 100° more than the angle subtended by the men voters.

The total number of voters are 10080 voters

Reasons:

The angle subtended by the men on the pie chart = 130°

The number of women = 2800 + The number of men

Therefore;

Angle subtended by the women voters on the pie chart = 360° - 130° = 230°

The difference between the angle representing women and the angle

representing men = 230° - 130° = 100°

Therefore;

100° = 2800

Which by common ratios gives;

[tex]\dfrac{100^{\circ}}{360^{\circ}} = \dfrac{2800}{Total \ number \ of \ voters }[/tex]

100 × Total number of voters = 2800 × 360

[tex]The \ total \ number \ of \ voters = \dfrac{2800 \times 360}{100} = 10080[/tex]

The total number of voters = 10080

Learn more here:

https://brainly.com/question/20431949

Answer:

The angle subtended by the women voters are 100° more than the angle subtended by the men voters.

The total number of voters are 10080 voters

Reasons:

The angle subtended by the men on the pie chart = 130°

The number of women = 2800 + The number of men

Therefore;

Angle subtended by the women voters on the pie chart = 360° - 130° = 230°

The difference between the angle representing women and the angle

representing men = 230° - 130° = 100°

Therefore;

100° = 2800

Which by common ratios gives;

100 × Total number of voters = 2800 × 360

The total number of voters = 10080


By which numbers (4,6,8 or 9) are the following numbers divisible?
(a) 3 786
(b) 4 136
(c) 15 342
(d) 87 312
(e) 85 572
(f) 1234 567

Answers

Answer:

option a as last digit even a d come in 3 table

thank you guys for helping me :) :)

Answers

Answer:

The second one is right

Step-by-step explanation:

Hope it helpssss

Multiply.

[−8⋅4/11]⋅[(−0.1)⋅22]

Answers

Answer:

6.4

Step-by-step explanation:

Hope this helps :D

Hehehjsbusbsysbsusniwnwiwkwiwn

what would be 8/1 x 1/2

Answers

Answer:

4.

Step-by-step explanation:

8*1 / 1*2

= 8/2

= 4.

[tex]8\times \dfrac 12 = 4[/tex]

A rectangular pipe flowing full has the following cross-sectional dimensions Width: 6 m Height: 9 m Find the pipe's hydraulic radius in meters

Answers

45 meters unless the pipe is 60 seconds with out water

Can someone please help me

Answers

Answer:

D. Step 3 and Step 4

Step-by-step explanation:

I tried to put in some numbers for x and I'm pretty sure that you can subtract stuff from both sides but you can't divide. I'm 70% sure, so tell me if something's wrong :)

6=2(y+2) solve for what is y?

Answers

Answer:

y is 1

Step-by-step explanation:

Answer:

y = 1

Step-by-step explanation:

First divide both sides by 2

this gives you 3 = y+2

then subtract 2 from each side giving you y = 1

Solve.

x−(−256)=−15

What is the solution to the equation?

Enter your answer as a simplified mixed number in the box.

x =

Answers

Step-by-step explanation:

[tex]x - ( - 256) = - 15 \\x + 256 = - 15 \\ x = - 15 - 256 \\ x = - 271[/tex]

A car rental company charges, y, for x, days. Days 3 4 5 6
Total Cost ($) $55.50 $74.00 $92.50 $111
Write an equation in the form of y=kx. Explain what the constant rate of change means in this context.

Answers

The equation of the car rental company in the form y = kx is; y = 18.50x

The equation y = kx is such that;

y = dependent variable

x = independent variable

k = constant of proportionality.

In essence; to determine the constant of proportionality, k in this case;

k = y/x

Since the company charges, $55.50 for 3 days; we have;

By evaluation k = $55.50/3

k = 18.50.

A constant rate of change means the variation in the dependent variable as dependent on the independent variable is constant

Read more:

https://brainly.com/question/19012756

need help with pre-cal please

Answers

Answer:

x = n² ± n√(n² + 8)

Step-by-step explanation:

x ≠ 0, n ≠ 04/x² + 1/x = 1/(2n²)(x + 4)/x² = 1/(2n²)2n²(x + 4) = x²x² - 2n²x - 8n² = 0D = (-2n²)² - 4(-8n²) = 4n⁴ + 32n² = 4n²(n² + 8)x = (2n² ± 2n√(n² + 8))/2x = n² ± n√(n² + 8)

pls help asap MIDSEGMENTS

Answers

Answer:

yyyyyyyyyyyyyyyyyyyyyyyyyyyyyy

Issac ate 2/4 of a pizza. Madison ate 1/5 how much did issac eat more than Madison?​

Answers

Answer:

6/20. (simplified is 3/10)

Step-by-step explanation:

Find the y-intercept and the vertex of y+-x^2+6x-8 using standard form

Answers

Answer:

-x^2+y+6x-8

hope this helps

what is the answer??????​

Answers

Answer:

15 percent

Step-by-step explanation:

15 PERCENT

HAVE A NICE DAY SIR/MA'AM

GREAT DAY

−5 + 6 × 5/2 + 56 ÷ ( −8 )

Answers

Answer:

3

Step-by-step explanation:

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