Use synthetic division to evaluate f (x)= x^3+ 6x^2-2x - 12 when x = 3

Answers

Answer 1

The function value of given function at x = 3 is 63.

Synthetic division :

The given function is,

                   [tex]f(x)=x^{3} +6x^{2} -2x-12[/tex]

We have to calculate function value when [tex]x=3[/tex].

              [tex]f(3)=3^{3} +6*3^{2}-2(3)-12\\ \\f(3)=27+54-6-12\\\\f(3)=81-18\\\\f(3)=63[/tex]

Thus, the function value of given function at x = 3 is 63.

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Related Questions

What is the equation of this parabola?

Answers

Answer:

y = - x² + 4

Step-by-step explanation:

The equation of a parabola whose vertex is on the y- axis is

y = ax² + c

where a is a multiplier and c is the y- intercept

• If a > 0 then minimum vertex

• If a < 0 then maximum vertex

Here vertex is a max, thus a = - 1 and c = 4

Then equation of parabola is

y = - x² + 4

Two binomials were multiplied together and the result is represented by the 1 point
algebra tiles shown. What are the two original binomials?

Answers

Answer:

What are the answers?

Step-by-step explanation:

8+3m= -7
3m= -7-8
3m= -15
How to verify this answer

Answers

Answer:

see below

Step-by-step explanation:

8+3m= -7

Subtract 8 from each side

3m+8-8= -7-8

Combine like terms

3m= -15

Divide each side by 3

3m/3 = -15/3

m = -5

Check

8+3m= -7

8+3(-5) = -7

8-15 = -7

-7 = -7

m = -5 is the solution

Step-by-step explanation:

8+3m=-7

3m= -7-8

3m=-15

m= -5

Solve the division
1. (x^3y^3 + x^2y^3 – xy^4 + xy) ÷ xy
and this if possible
ii) 14p^3q^4 – 28p^4q^3 ÷ (-7p^2q^3)

Answers

Answer: The equation to solve is:

(x3y3+x2y2+xy+1)ydx+(x3y3−x2y2−xy+1)xdy=0

t3−t2−t+1t3+t2+t+1dt=dxx

any more help just ask :)

I will give thank you 5 stars AND brainliest for the correct answer!

Answers

Answer:

The answer is 1.2

Step-by-step explanation:

1.2/6=0.2

Hope this helped!

Answer:

1.2

Step-by-step explanation:

6X0.2=1.2

Bill is planning to drive 1,000 miles to visit his family. If he plans to drive 250 miles per day, which of the
following represents the remaining distance d, in miles, that Bill will have to drive to reach his family after
driving for n days?
А
d = 1,000 + 250n
B d = 1,000n - 250
d = 250n - 1,000
D d = 1,000 - 250n

Answers

the answer is
B d = 1,000n - 250

plss answer my question..

Answers

Answer:

Gradient of KL = 2

Step-by-step explanation:

From the diagram, we are to calculate the gradient of KL. Gradient is salso known as the slope of the line.

Gradient of KL = ΔOK/ΔOL

Given

OK = 2OL

Substitute into the formula

From the diagram, ΔOL = -5

ΔOK = 2ΔOL

ΔOK = 2(-5)

ΔOK = -10

Hence;

Gradient = -10/-5

Gradient of KL = 2

Ricardo has $25 to spend on school supplies. He spends 56% of the money on a backpack and the rest on a large binder. How much money does he spend on the backpack? How much does he spend on the binder

Answers

Answer:

Ricardo spends $14 on the backpack and $11 o the binder.

Step-by-step explanation:

First, you have to calculate 56% of the amount Ricardo has to spend on school supplies to find the money he spends on the backpack:

$25*56%=$14

Now, you have to subtract 56% from 100% to find the percentage that he spent on a large binder:

100%-56%=44%

Finally, you have to calculate the 44% of the amount Ricardo has to spend on school supplies to find the money he spends on a large binder:

$25*44%=11

According to this, the answer is that Ricardo spends $14 on the backpack and $11 o the binder.

( THIS COULD BE A QUICK ONE ! )

Amy solved the inequality and was asked to express her answer in set notation. Determine if she
made a mistake, correct the mistake if she made one and create the correct expression in set notation.

-X-7>-6

X> 1

(1, ∞ )

Answers

Step-by-step explanation:

-X - 7 > -6

-7 > X - 6

X < -1

Hence the answer in set notation is (-∞, -1).

Answer:

x<-1

x€(-∞,-1)

Step-by-step explanation:

Yes she made mistake

Here's the correction

Pedro paid $6.00 for 4 organic peaches. How much did he pay per peach?

A -$24.00 per peach
B- $1.50 per peach
C- $0.60 per peach
D-$0.25 per peach

Answers

$6.00/4 = $1.5
Answer: B, he paid $1.50 per peach
The answer is B - $1.50 per peach.

Explanation - I went to a calculator and divided $6.00 by 4 which gave me $1.50. That’s how you would find your answer.

Solve two sixths times three fifths.

six thirtieths
seven thirtieths
five elevenths
six elevenths

Answers

Answer: 2/6 times 3/5 = 1/5

Step-by-step explanation:

Answer:

Six thirtieths is the answer

Select the points that are solutions to the system of inequalities. Select all
that apply.
A. (1,2)
B. (-10,10)
C. (-2,0)
D. (0,10)

Answers

The answers will be points(-10) B and (0,10) D

Answer:

B and D

Step-by-step explanation:

which is the best approximation of square root of 51
a 5.9
b 5.3
c 9.2
d 7.1
need answer asap

Answers

Answer: Answer is D.

Step-by-step explanation:

Answer:

d 7.1

Step-by-step explanation:

Use a calculator

Evaluate the expression 50g^2 if g = 1/5.

Answers

Answer:

2

Step-by-step explanation:

50*1/5 squared

1/5 = 0.2.

0.2 squared = 0.04

0.04 * 50 = 2

The expression after simplifying gives as 2.

What are like and unlike terms in an expression?

In Algebra, the like terms are defined as the terms that contain the same variable which is raised to the same power. In algebraic like terms, only the numerical coefficients can vary. We can combine the like terms to simplify the algebraic expressions.

Given here: 50g² and g = 1/5.

Thus substituting we get 50 × 1/25=2

Hence, The expression after simplifying gives as 2.

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Does 4(x - 8) + 12 = 2(2x - 9) have one solution, no solution, or infinitely many solutions?

Answers

Answer:

no solution

Step-by-step explanation:

hope this helps =)

The given equation has no solution.

What is equation?

Equation is a statement that show the equality of two expressions connecting by equal sign. for example, 3x - 5 = 20. In this case, 3x - 5 and 20 both are expressions which are connected by equal sign. The two expressions are written on the left side of equal and right side of equal. There are different types of equations such as linear equation, quadatic equation, etc.

The equation is given in the question is 4(x - 8) + 12 = 2(2x -9).

when we find out the solution,

4(x - 8) + 12 = 2(2x -9)

Multiply x with 4 and 2 according to the equation.

4x - 32 + 12 = 4x - 18

4x - 20 = 4x - 18

now, you can see this equation has no solution as the value of x cannot be determined.

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In November 2010 the average cost of 5 gallons of regular unleaded gasoline in the United States was $14.46. What was the average cost for 16 gallons of gasoline?

Answers

Answer:

$46.72

Step-by-step explanation:

The first step is to find the price of 1 gallon

5 gallons= 14.46

1 gallon= x

5x= 14.46

x= 14.46/5

1 gallon= $2.92

Therefore the cost of 16 gallons of gasoline can be calculated as follows

1 gallon= 2.92

16= x

x= 2.92 × 16

= $46.72


Write 22 decreased by 6 as an algebraic expression

Answers

Answer:

22-6

Step-by-step explanation:

there isnt a variable so the answer is 16

Answer:

I am pretty sure you would just write 22-6

Step-by-step explanation:

Chelsea wants to join a fitness club. The fitness club charges and initial membership fee of $30 and a monthly fee of $10.50. She has $114 to spend on a membership at the fitness club. Right and solve an equation to find the number of months Chelsea can be a member of the fitness club

Answers

Answer:

She can be a member for 8 months

Step-by-step explanation:

Let x be the number of months

30 + 10.5(x) = 114

30 + 10.5x = 114

10.5x = 114-30

10.5x = 84

x = 84/10.5

x = 8 mints

Answer:

The monthly membership fee.

Step-by-step explanation:

12.5% of what number is 24​

Answers

Answer:

192

Step-by-step explanation:

what
[tex] \sqrt{9} [/tex]

Answers

Answer:

3 is the answer ####%%##

At a holiday market, the total cost for a cup of hot cocoa and a cookie is $1.80. If a cup of hot cocoa costs one dollar more than a cookie, how much does a cup of hot cocoa cost?

Answers

Answer:

$1.40

Step-by-step explanation:

if the total is $1.80 and the hot cocoa costs exactly $1 more the cookie has to be $0.40 otherwise the price would go above or below the total when it is doubled with another dollar added

A cup of hot cocoa costs is $0.40.

Given that,

At a holiday market, the total cost for a cup of hot cocoa and a cookie is $1.80.

If a cup of hot cocoa costs one dollar more than a cookie,

We have to determine,

How much does a cup of hot cocoa cost?

According to the question,

At a holiday market, the total cost for a cup of hot cocoa and a cookie is $1.80.

If a cup of hot cocoa costs one dollar more than a cookie,

The total is $1.80 and the hot cocoa costs exactly $1 more the cookie has to be $0.40

The price would go above or below the total when it is doubled with another dollar added.

Hence, A cup of hot cocoa costs is $0.40.

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Solve 3x+ k = c for x.

Answers

Answer:

x=(c-k)/3

Step-by-step explanation:

First, subtract k from both sides of the equation to get: 3x=c-k

Next, divide both sides by 3 to get x by itself=> 3x/3=c-k/3

The threes on the left side cancel, giving you x=(c-k)/3

X Y
27 9
48 16
63 21
Does Y vary directly with x
Yes or no

Answers

yes they vary directly 9 times 3 equals 27 , 16 times 3 equals 48 and 21 times 3 equals 63

A bag of 7 bouncy balls cost $9.80. What is the unit price?

Answers

Answer:

$1.40

Step-by-step explanation:

Unit = "1 value"

9.80/7 = 1.4

Write the following precent as a decimal 1/8%

Answers

Answer:

.125

Step-by-step explanation: To convert 1/8 to a decimal, divide the denominator into the numerator. 1 divided by 8 = . 125. To convert the decimal .

Answer: 0.00125

Step-by-step explanation:

percent= decimal×100 therefore, decimal=percent/100 so 1/8 divided by 100 is 0.00125

Which equation is a linear function?

Answers

Answer:

its not showing up

Step-by-step explanation:

HELP ME PLEASE I'M RUNNING OUT OF TIME!

Answers

Answer:

i think it should be C, im not so sure though

Step-by-step explanation:

if you look, you just go greatest to least, so ig Sanjay (who has 1000) should be the greatest, then Raisa, Felicity, then Megan. if im wrong im so sorry- ;-;

Cookies are on sale! Today each cookie costs $0.75 less than the normal price. Right now if you buy 7 of them it will only cost you $2.80!

Answers

Answer:

1.15

Step-by-step explanation:

1. What is the slope of the line shown?

Answers

Answer:The slope equals the rise divided by the run: . You can determine the slope of a line from its graph by looking at the rise and run. One characteristic of a line is that its slope is constant all the way along it. So, you can choose any 2 points along the graph of the line to figure out the slope.

Step-by-step explanation:

PLS HELP WILL GIVE BRANLIEST

Answers

Answer:

C

Step-by-step explanation:

hope this helped. I am in algebra two so you can trust my answer. happy holidays and stay safe

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