Use synthetic division to find f(2)

f(x) = 2x3 –3x²+7X-12​

Answers

Answer 1

Step by Step Solution:

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STEP

1

:

Equation at the end of step 1

 

STEP

2

:

           x3 + 3x2 - 7x - 12

Simplify   ——————————————————

                 x + 4        

Checking for a perfect cube :

2.1    x3 + 3x2 - 7x - 12  is not a perfect cube

Trying to factor by pulling out :

2.2      Factoring:  x3 + 3x2 - 7x - 12  

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -7x - 12  

Group 2:  x3 + 3x2  

Pull out from each group separately :

Group 1:   (7x + 12) • (-1)

Group 2:   (x + 3) • (x2)

1 result(s) found

x  

2

−x−3


Related Questions

Help!!! ASAP!!!
The sum of the areas of a polyhedron’s face is

A: Its perimeter divide by two.
B: its surface area.
C: its volume
D: non of these

Answers

Answer: The sum of the area of it's faces

Step-by-step explanation: its the surafce area.

Oct 16, 10:30:54 AM
A rocket is shot into the air. The function f (x) = -16x2 + 64x + 8 gives the
height of the rocket (in feet) as a function of the rockets horizontal distance from
where it was initially shot.
a. What was the initial height of the rocket when it was shot?
b. What is the maximum height the rocket reaches in the air?
a. The initial height of the rocket was
feet.
b. The maximum height the rocket reaches is
feet.

Answers

Answer:

A) 8 feet.

B) 72 feet

Step-by-step explanation:

We have the function [tex]f(x)=-16x^2+64x+8[/tex] which gives the height of the rocket (in feet) as a function of the rocket's horizontal distance.

Part A)

We want to find the initial height of the rocket when it was shot.

At the initial height, the rocket has not moved anywhere. So, the horizontal distance will be 0.

Therefore, to find the initial height, we will substitute 0 into our function. This yields:

[tex]f(0)=-16(0)^2+64(0)+8[/tex]

Evaluate:

[tex]f(0)=8[/tex]

Therefore, the initial height was 8 feet.

Part B)

Notice that our function is a quadratic.

Therefore, the maximum height will be given by the vertex of our quadratic.

To find the vertex, we use:

[tex](-\frac{b}{2a},f(-\frac{b}{2a}))[/tex]

Let's label our coefficients. We have [tex]-16x^2+64x+8[/tex]

Therefore, a=-16, b=64, and c=8.

Substitute them into the vertex formula to find the x-coordinate:

[tex]x=-\frac{64}{2(-16)}\\\Rightarrow x=64/32=2[/tex]

Now, to find the maximum height, substitute 2 back into our function f(x):

[tex]f(2)=-16(2)^2+64(2)+8[/tex]

Evaluate:

[tex]f(2)=-16(4)+64(2)+8\\\Rightarrow f(2)=-64+128+8\\\Rightarrow f(2)=72\text{ feet}[/tex]

Therefore, the rocket reaches a maximum height of 72 feet.

y=3x+22
x is equal to 225

Answers

9514 1404 393

Answer:

  y = 697

Step-by-step explanation:

Put the value of x into the equation and do the arithmetic.

  y = 3·225 +22 = 675 +22

  y = 697

Sebastian drove for 2.2 hours at an average rate of 43.5 miles per hour. He calculates that he drove 95.7 miles. He knows the answer should be near 80, because 40 times 2 is 80. Which best explains Sebastian’s actual solution?

Answers

Answer: A. The actual product is reasonable because it is near 80 but greater than 80. Both factors were rounded down, making the estimate lower than the actual product.

Step-by-step explanation:

Answer: A. The actual product is reasonable because it is near 80 but greater than 80. Both factors were rounded down, making the estimate lower than the actual product.

Step-by-step explanation:

PLZ HURRY IT'S URGENT!!
What is the y-intercept of the line?
y=2/3x+4
options:

0

1

2/3

4

Answers

Answer:

4

Step-by-step explanation:

y intercept is always the value without a coeffiecent

Answer:

ITS 4

Step-by-step explanation:

**PLEASE HELP THIS IS DUE TODAY** when the sun's declination is at the highest point, what direction does the sun rise and set?​

Answers

june 22 the declination reaches a maximum of 24.45° on june 22 summer solstice in the northern hemisphere and a minimum of -23.45 on december 21-22 winter solstice in the northern hemisphere. the sun, the moon, the planets and the stars all rise in the east and set in the west. and that’s because earth spins towards the east

find 759 divided by 3

Answers

Answer:

253 .....is that it??

Step-by-step explanation:

Answer:

253!

Step-by-step explanation:

Select all the expressions that are rational numbers.
a. 3.14159…
b. –9.1234567123…
c. –9.293847210103938…
d. 227
e. –26

Answers

Answer:

d,e

Step-by-step explanation:

rational numbers are positive and negative whole numbers.

Answer:

d,e

Step-by-step explanation:

PLEASE HELP ME ON ALL ASAP!!!! I WILL GIVE BRAINLIEST!!!

Answers

Answer:0=16  1=23   2=30   3=37   4=44

Step-by-step explanation:

GIVE ME BRAINLIESTTTTTTTT

The net of a rectangular shipping box is shown.

What is the surface area, in square centimeters, of the box?

Answers

Answer:

It would be 376.

What does it mean to divide a number by
a fraction (e.g., ¾)?

Answers

Answer: You can divide a number by a fraction by flipping over the fraction and multiplying them together.

Step-by-step explanation:

For example:

Lets say we wanted to divide 8 by 3/4

8÷[tex]\frac{3}{4}[/tex]

Change the division symbol into multiplication, and flip over the fraction (a great way to remember doing this is to remember the phrase Copy Dot Flip - Copy the first digit as it is, put a dot for multiplication, and then flip the fraction over)

8 ·[tex]\frac{4}{3}[/tex]

Now, just multiply and reduce/simplify the fraction if needed

Final answer is [tex]\frac{32}{3}[/tex], no need to simplify or reduce

Hope that helps!!

what does they y represent in the equation y=mx+b​

Answers

Answer:

The y-intercept of this line is the value of y at the point where the line crosses the y axis.

Step-by-step explanation:

The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept.

Question 4
5 pts
4. Cassie has 45 marbles. Abdul has m If Cassie has 9 times as many
marbles as Abdul. Choose the equation that correctly represents the
number of marbles Abdul has.
O 9 x m = 45
O 45 - 9 = m
O C. 9+ m = 45
O D. 9 x 45 = m

Answers

Answer:

8 x m = 45

Step-by-step explanation:

cassie has 9 times which means multiplcation so its the first one

Haseem was given the following enlargement.
6 cm
3 cm
5 cm
22.5 cm
Figures not drawn to scale.
What is the perimeter, in centimeters, of the enlarged triangle?
0 13.5
27
O 49.5
63

Answers

Answer: The answer is 63

Step-by-step explanation:

I’m sorry I don’t know how to explain but I got it right

Answer:

63

Step-by-step explanation:

Please help ASAP! All questions.

Answers

Answer:

I think i don't really know its been awhile for me.

Step-by-step explanation:

But i think you do 2 x 10 and what ever you get from that you multiply by 5 and what get from that you divide by 24.

I may not be right.

So please don't hate i tried.

57.99 The 9 in the hundredths place is _______ the value of the 9 in the tenths place.

Answers

Answer:The 9 in the hundredths place is 0.1x the value of the 9 in the tenths place.

Step-by-step explanation:

Every place going forward is 10x forward, so this means that every place going backwards is 0.1x.

Answer:

1/10th

Step-by-step explanation:

Shen is on the swim team. Each week he swims a total of 5000 meters. How many kilometers does he swim each week?
Be sure to include the correct unit in your answer.

Answers

Answer:

5 km

Step-by-step explanation:

to convert m to km you have to divide by 1000.

5000/1000=5

hope this helps!

y= -2x - 45. solve for x if y = -10

Answers

Answer:

-17.5

Step-by-step explanation:

-10 = -2x - 45

(add 45 on both sides)

35 = -2x

(divide both sides by -2)

x = -17.5

A young reptile is 0.6 foot long. An adult reptile is 19.5 times as long. How many feet longer is the adult reptile than the young reptile?

Answers

0.6ft x 19.5 = 11.7 ft
11.7ft-0.6ft = 11.1 ft
answer is 11.1 ft longer

By the end of Tina’s bike ride, she traveled a distance of 40 kilometers. How many miles did Tina ride? (1 mile ≈ 1.6 kilometers)

help plz brainless you help me

Answers

Answer:

24.85 or rounded to 24.9

Step-by-step explanation:

Conversion

K H D____D C M

The number of miles did Tina ride when (1 mile ≈ 1.6 kilometers) so it should be considered as the 25 miles.

Calculation of the number of miles:

Since

By the end of Tina’s bike ride, she traveled a distance of 40 kilometers.

And we know that

1 mile ≈ 1.6 kilometers

So,

[tex]= 40 \div 1.6[/tex]

= 25 miles

hence, The number of miles did Tina ride when (1 mile ≈ 1.6 kilometers) so it should be considered as the 25 miles.

Learn more about miles here: https://brainly.com/question/13208356

Plz help :( I need the negative if y plz show steps 6X plus 6Y equal 83/9 upper 2N

Answers

Answer:

x=8

Step-by-step explanation:

Simplifying

Combine like terms

Solving

help me please thank you​

Answers

24 blueberries. 24:60=2:5

Find the equation of a line through (-9, 2) perpendicular to y=3x-12
1 point
y=-1/3x-1
y=3x-1
y=1/3x+4
y=-3x-1

Answers

9514 1404 393

Answer:

  y = -1/3x -1

Step-by-step explanation:

The perpendicular line will have a slope that is the negative reciprocal of the slope of the given line. The given line's slope is the coefficient of x: 3. So, the perpendicular line's slope will be ...

  m = -1/3

Only one answer choice has that value as the coefficient of x:

  y = -1/3x -1

Find the perimeter of the figure.
7 mi
7 mi

Answers

Answer:

28mi

Step-by-step explanation:

The shape given is a square because all the internal angles are the same. Also, all the sides are equal;

   The perimeter of a square is given as;

          = 4L

Where L is the dimension of the sides

L in this problem is 7mi

Input the parameter and solve;

            Perimeter  = 4  x  7 = 28mi

Please help me if you know it thank you so much

Answers

Answer:

a) 9 beats

b) 9 beats per minute

c) y=9x

d) 180 times

The only expression 3(2x+7)-4(-3x+5) is equal (=) to

Answers

Answer:

18x + 1

Step-by-step explanation:

3(2x + 7) -4(-3x +5)

6x + 21 + 12x - 20

6x + 12x + 21 - 20

18x + 1

Answer:

18x+1

Step-by-step explanation:

3(2x+7)-4(-3x+5)= 6x+21+12x-20

Combine Like Terms:

6x+12x= 18x

21-20=1

=18x+1

Regina used nuts and fruits to make a snack mix. The graph below shows the quantities used for each serving

What do the points on the graph mean in this context? Select all that apply.

For every 3 cups of fruit, there is 1 cup of nuts.

For every 1 cup of fruit, there are 3 cups of nuts.

For every 2 cups of fruit, there are 6 cups of nuts.

For every 6 cups of fruit, there are 2 cups of nuts.

For every 12 cups of fruit, there are 4 cups of nuts.

Answers

Answer: 1st, 4th & 5th .

Answer:

1st, 4th, and 5th

Step-by-step explanation:

SOMEONE HELP WITH MY LAST TWO PROBLEMS

Answers

Answer:

What are your last 2 problems m8

Step-by-step explanation:

3. Use the equation y = 3.2x + 5
to complete in the table.
Type the answers in the boxes below.
1
2
4
3. Is y proportional to x and y?
Select the correct choice from the drop down.
Explain why or why not.
Type your response in the space below.

Answers

Answer/Step-by-step explanation:

Plug in the value of x in each row into the equation, y = 3.2x + 5, to find their corresponding y values respectively.

When x = 1:

y = 3.2(1) + 5

y = 3.2 + 5

y = 8.2

When x = 2:

y = 3.2(2) + 5

y = 6.4 + 5

y = 11.4

When x = 4:

y = 3.2(4) + 5

y = 12.8 + 5

y = 17.5

You have the following table:

x | y

1 | 8.2

2 | 11.4

4 | 17.5

To find out if y is proportional to x, find the ratio of y to x of each pair in the table.

x | y | ratio of y to x (y/x)

1 | 8.2 | 8.2/1 = 8.2

2 | 11.4 | 11.4/2 = 5.7

4 | 17.5 | 17.5/4 = 4.375

As you can see, here is no equal ratio. Each pair has a different ratio. Therefore, the a proportional relationship does not exist between x and y.

20x+x-2=4 rational equation​

Answers

Answer:

x = 2/7

Step-by-step explanation:

Step 1: Write equation

20x + x - 2 = 4

Step 2: Solve for x

Combine like terms: 21x - 2 = 4Add 2 to both sides: 21x = 6Divide both sides by 21: x = 6/21Simplify: x = 2/7

Step 3: Check

Plug in x to verify it's a solution.

20(2/7) + 2/7 - 2 = 4

40/7 + 2/7 - 2 = 4

42/7 - 2 = 4

6 - 2 = 4

4 = 4

Answer:

x = 2/7

Step-by-step explanation:

Collect like terms:

20x + x = 21x ----> 21x - 2= 4

Move the constant to the right hand side and change the sign of the constant:

21x = 4 + 2

Calculate:

21x = 4 + 2 ---> 21x = 6

Divide both sides by 21:

21/21 and 6/21 = 2/7

Solution:

x = 2/7 or x= 0.285714

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