The function after synthetic division f(x) = 4x3 + 3x2 − 16x − 12

Answers

Answer 1

Answer:

[tex]\huge\purple{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]

»ANSWER«

(1) Write properties of function:

x intercept/zero:

[tex] x_{1} = \frac{3}{4} [/tex]

y intercept:

[tex]y = - 12[/tex]

domain:

[tex]( - \infty \: \infty )[/tex]

type of function: cubic fraction

standard form:

[tex]f(x) = 4 {x}^{3} - 3 {x}^{2} + 16x - 12[/tex]

factorize form:

[tex]f(x) = (4x - 3)( {x}^{2} + 4)[/tex]

even/odd/neither: neither

bounce/cross x axis:

[tex]x = \frac{3}{4} \: across[/tex]

increasing interval:

[tex]( - \infty \: \infty )[/tex]

decreasing interval: no

number of positive real zeros: 1

number of possible turning point: 2

order/degree: 3

leading term:

[tex]4x ^{3} [/tex]

leading coefficent: 4

constant term: -12

end behavior:

[tex]as \: x \: → \infty f(x) → \infty \: as \: x → - \infty f(x) → - \infty [/tex]

#CarryOnLearning

The Function After Synthetic Division F(x) = 4x3 + 3x2 16x 12

Related Questions

Answer I need help plsssssssssssssss??

Answers

Answer:

1. -1/2

2. Graph attached below:

Step-by-step explanation:

1) To find to slope of the line with two points would be the following equation:

[tex]y_{2} - y_{1} / x_{2} - x_{1}[/tex]

So let’s assume our variables and subsitute them to see that the Carma’s Working out is an error.

Form: [tex](x_{2}, y_{2}), (x_{1}, y_{1})[/tex]

[tex]y_{2} = 3[/tex]

[tex]y_{1} = 1[/tex]

[tex]x_{2} = 7[/tex]

[tex]x_{1} = 11[/tex]

[tex]3 - 1 / 7 - 11 = -1/2[/tex]

1. Error one: The point values of the slope aren‘t correctly labeled and are not the same form as in the formula.

2. Error two: The slope output is not correct, it is 2 but the slope is -1/2.

Now let’s get on the graph of Carma’s workout, I can spot that the point (-4, 5) is not plotted correctly. Instead it is plotted (4, -5). To understand clearly I will label these points on a graph, image attached below:

3. Error three: The point (-4, 5) is not plotted correctly, x should be negative and y should be positive.

4. Error four: The slope is not correct, instead the slope of the graph is negative but we need a positive slope.

Now it is time to fix Carma’s mistakes:

1) Slope: -1/2

2) Graph attached below

how to factorize 5x^2-20y^2​

Answers

Answer:

Step-by-step explanation:

[tex]5x^2-20y^2\\=5(x^{2} -4y^2)\\=5[x^{2} -(2y)^2]\\=5(x+2y)(x-2y)[/tex]

Answer:

Step-by-step explanation:

In the circle represented by the equation (x-4)2+(y-3)2=25, the diameter is

Answers

i’m pretty positive the answer is (-3,4)

Please help, we're supposed to be writing an equation from the table here. But I don't know.​

Answers

Answer:

y = 3x - 3

Step-by-step explanation:

This more of a guess than a reality of method. You have to try and guess which number when multiplied by 4 will give 9. It won't happen directly.

The best clue is provide by (0,-3).

So let's start with a general linear equation.

y = mx + b

If you put in 0 for x then mx disappears and you are are left with y = - 3

That means that b = - 3

So now you have

y = mx - 3  

Now try another one

y = mx - 3

y = 9

x = 4

9 = mx - 3

9 = 4m - 3            Add 3 to both sides

9+3 = 4m-3+3      Combine

12 = 4m                Divide by 4

12/4 = 4m/4        

3 = m

So the equation you want so far, is y = 3x - 3               Does it work for anything else?

Try - 3 , - 12 . If it works for this, it should work for anything.

y = 3*-3 - 3

y = -9 -3

y = - 12

and it does work, so that's your answer.

If y=8x and y=96 what does x equal

Answers

Answer:

X = 12

Step-by-step explanation:

8(12) = 96

Y= 96
Y= 8x
x = 96/8
x= 12

You must write your answer in fully simplified form.
8a= 5

Answers

Answer:

x = 5/8

Step-by-step explanation:

[tex]\frac{8x}{8} = \frac{5}{8}[/tex]

x=[tex]\frac{5}{8}[/tex]

a paper company needs to ship paper to a large printing business the paper will be shipped in small boxes in large boxes the volume of each box is 6 ft.³ and the volume of each large box is 12 ft.³ a total of 27 boxes of paper were shipped with a combined volume of 250 to cubic fe. graphically solve a system of equations in order to determine the number of small boxes shipped X and the number of large boxes shipped Y

Answers

Answer:

the answer is 10 :)

Step-by-step explanation:

Gabriel purchases a rug priced at $475. With sales tax, the total comes out to $513. What is the sales tax percentage?

Answers

Answer:

The tax is 8%

Step-by-step explanation:

Take the final price and subtract the original price

513-475 = 38

Divide by the original price

38/475 =.08

Change to percent form

8%

The tax is 8%

The tax price is 8%

513 - 475 = 38

38/475 = 0.08

To check your work.

475 x 0.08 = 38

475 + 38 = 513

Meaning the answer is 8%

Tyrone received the same score on each hand in a card game. His score on each hand was −18. He played 6 hands.

What was Tyrone's final score?

Enter your answer in the box.

points

Answers

-108 points

How?

Because -18×6=-108

------(Showed you some proof from above)

SOLVE HYPOTENUSE LEG-HL
-GEOMETRY

Answers

[tex]\huge \rm༆ Answer ༄[/tex]

The required information needed to prove the two triangles congruent by HL congruency criteria is ~

[tex] \sf {VW} \cong BA[/tex]


Order the angles in the triangle above from largest to smallest.
Largest
1.B
2.D
3.С
Smallest

Answers

The order is C, B, then D.

At the deli 1 pound of turkey cost seven and 98 Mr. Epson 5 3 pound of turkey how much will the turkey cost

Answers

Answer:

42.29 READ THE EXPLANATION

Step-by-step explanation:

i am guessing you mean the cost for 1 pound is 7.98 and he is getting 5.3 but if different do the steps, all you have to do is mutiple the unit rate (7.98) by how many pounds bought(5.3)

Which is factorial using integers?
a) y+25
b) y^2-25
c) y^2+25
d) y-10
e) y^2+10

Answers

Answer:

i feel like its A or D i could be wrong but i believe its one of the two

convert NPR 180000 into
1. USD

Answers

Answer:

Solution here,

1 US dollar=NRS 120.74

Therefore Rs 180000= 180000/120.74

=$1490.99

1/2.5+1/5.8+1/8.11+...+1/97.100

Answers

Answer:

that's is the correct answer

Step-by-step explanation:

hope it helps

Sam runs 6 miles in 55 minutes. At the same rate, how many miles would he run in 44 minutes?

Answers

Answer:

4.8

Step-by-step explanation:

6/55= ~0.109

0.109*44=4.8


Which graph represents a function?

Answers

Answer: B

Step-by-step explanation:

Please help ASAP, any links will be reported!
Write an inequality that represents the graph below:

Answers

Answer:

x< 0

Step-by-step explanation:

[] An open circle means we will be using < or > and not ≤ or ≥ because the number is not included in the inequality

[] The direction of the inequality sign will go in the direction of the graph, so we will be using < as our number is less than the value given

[] Our final answer, assuming we can use x for this graph, is x < 0

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

What is the area of a room that is 3 3/4 yards long by 3 1/3 yards wide?

Answers

Answer:

Depends on what your question asks for (in mixed or improper form) your answer would be: 150/12 yards or 12 1/2 yards

brainliest please?<3

Step-by-step explanation:

To find the area, first convert the mixed numbers to improper form:  

3 3/4 = 15/4 & 3 1/3 = 10/3

Now multiply them together:  

15/4 x 10/3  

= 150/12

Answer: 12.5

Step-by-step explanation:

3 3/4 in improper form is 15/4. 3 1/3 in improper form is 10/3.

15   10       150

==x == =  ====             150 divided by 12 is 12.5

4     3         12

Find the value of c that makes the trinomial a perfect square: x^2– 40x + c

Answers

Answer:

c=400

Step-by-step explanation:

Use the perfect square formula:

ax^2+bx+c=0

x^2-40x+c=0

bring c to the other side

x^2-40x+___=-c

divide -40 by 2 then square it; 400

add 400 to each side

c=400

(x-20)(x-20)

The value of c that makes the trinomial a perfect square x²– 40x + c is 400.

What is quadratic equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

We have to find the  value of c that makes the trinomial a perfect square: x²– 40x + c

Lets use the perfect square formula:

ax²+bx+c=0

The given equation is given below.

x²-40x+c=0

Take the c term to the right hand side

x²-40x=-c

x²-40x+400=-c+400

c=400

Hence, the value of c that makes the trinomial a perfect square x²– 40x + c is 400.

To learn more on Quadratic equation click:

https://brainly.com/question/17177510

#SPJ2

write the equation of a line that passes through the points (-4,-7) and (-6,9)?

Answers

To solve this you need to use the formula: y2 - y1

                                                                          x2 - x1

9-(-7) over -6-(-4)

The answer would be -8.

one more time what 4 + 4 × 4 + 4 ÷ 4=

Answers

Answer:

I think probably 21

Step-by-step explanation:

4+16+1 = 21

Need help now pls on HS geometry

Answers

Answer:

see explanation

Step-by-step explanation:

The triangle segment is a median

A median goes from the vertex to the midpoint of the opposite side.

On each median the distance from the vertex to the centroid is twice the distance from the centroid to the midpoint.

AC = 2 × FC = 2 × 35 = 70

BG = [tex]\frac{2}{3}[/tex] × BF = [tex]\frac{2}{3}[/tex] × 57 = 2 × 19 = 38

GC = 2 × DG = 2 × 14 = 28

AE = AG + GE = 42 + 21 = 63

HELPPPPP!!!!!!!!!!!!!!!!!!!!!!!

Answers

[tex]\left(-\dfrac 16 \right)^2 +\dfrac 58 \left(-\dfrac 19} \right)\\\\\\=\dfrac 1{36} -\dfrac{5}{72}\\\\\\=\dfrac 2{72} - \dfrac{5}{72}\\\\\\=-\dfrac 3{72}\\\\\\=-\dfrac 1{24}[/tex]

Answer:

Step-by-step explanation:

(-1/6)^2 + 5/8(-1/9)= -0.0416

Thus the answer is -1/24

Jake is 1.25 meters tall. At 11a.m he measures the length of a trees shadow to be 16.45 meters. He stands 11.5 meters away from the tree, so that the tip of his shadow meets the tip of the tree’s shadow. Find the height of the tree to the nearest hundredth of a meter

Answers

Answer:

1.25 yeah girlyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy i ttook the test

Step-by-step explanation:

f(x) = -x^3+8x^2-15x
Domain:
Range: R
Rel. Maximum: X=3
Rel. Minimum(s): X2
End Behavior:
As x, f(x)
As x, f(x)
Incr. Intervals:
Zeros
Decr. Intervals

Answers

That's all I got hope it helps

I need help with this math question fast​

Answers

Answer:I believe the answer is e

Step-by-step explanation:

-0.5x=3.6

F. -72
G. -7.2
H. 7.2
I. 72

Answers

Answer:

G

Step-by-step explanation:

3.6÷-0.5 is -7.2, so it's G

can someone help? No explanation needed :')

Answers

36/100

Please mark me as brainliest

Carpeting costs $7.99 a yard. If Jan buys 12.4 yards, how much will it cost her?

(Hint: Round it to two decimal places)

Answers

Multiply cost per yard by total yards:

7.99 x 12.4 = 99.08

Answer: $99.08

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