According to the Rational Root Theorem, which statement about f(x)=8x3−4x2+6x+3 is true?

Group of answer choices

Any rational root of f(x) is a multiple of 8 divided by a multiple of 3.

Any rational root of f(x) is a factor of 8 divided by a factor of 3.

Any rational root of f(x) is a multiple of 3 divided by a multiple of 8.

Any rational root of f(x) is a factor of 3 divided by a factor of 8.

Answer:

[tex]\rm 4k(2k+ h)[/tex]

Step-by-step explanation:

A expression is given to us and we need to factorise it . The given expression is ,

[tex]\rm\implies (h+2k)^2+4k^2-h^2[/tex]

Open the brackets using the identity, (a +b)² = a² + b² + 2ab , we have ;

[tex]\rm\implies h^2+4k^2+4hk + 4k^2 - h^2 [/tex]

Simplify ,

[tex]\rm\implies 8k^2+4hk [/tex]

In the above expression 4k is common in both the terms , so that ,

[tex]\rm\implies \boxed{\pink{\frak{ 4k(2k+h) }}}[/tex]

The expression factorized completely is (h +2k)[(h+2k) + (2k-h)]

From the question,

We are to factorize the expression (h+2k)²+4k²-h²​ completely

The expression can be factorized as shown below

(h+2k)²+4k²-h²​ becomes

(h+2k)² + 2²k²-h²​

(h+2k)² + (2k)²-h²​

Using difference of two squares

The expression (2k)²-h²​ = (2k+h)(2k-h)

Then,

(h+2k)² + (2k)²-h²​ becomes

(h+2k)² + (2k +h)(2k-h)

This can be written as

(h+2k)² + (h +2k)(2k-h)

Now,

Factorizing, we get

(h +2k)[(h+2k) + (2k-h)]

Hence, the expression factorized completely is (h +2k)[(h+2k) + (2k-h)]

Learn more here:https://brainly.com/question/12486387

Answer:

4^-14

Step-by-step explanation:

4^-5 x 4^-4 x 4^-5 = 4^-14

1/4^14

Answer:

7w

Step-by-step explanation:

Simplify the parenthesis first

(13-6)=7

Then multiply by the w

7*w=7w

(13-6)*w=7w

* Can be rewritten as (13-6)w or w(13-6) or w*(13-6).

Step-by-step explanation:

x = 360°- (90°+36°+36°)

= 360 - (162°)

= 198°

___________

[tex] \: [/tex]

PQR = 360°

QR = 90°

PQ = 36°

RX = 36°

Soo :

x = 360° - (90° + 36° × 2)

x = 360° - (90° + 72°)

x = 360° - (162)

x = 198°✔

Answer:  The lines WX and YZ are parallel.

Step-by-step explanation:  We are given to check whether the lines WX and YZ are parallel, perpendicular or neither if the co-ordinates of the endpoints of both the lines are

W(3,4), X(5,7), Y(8,2) and Z(6,-1).

We know that the slope of a straight line passing through the points (a, b) and (c, d) is given by

m = d-b/c-a

So, the slope of the line WX is

m1 = 7-4/5-3 = 3/2

and the slope of line YZ is

m2 = -1-2/6-8 = -3/-2 = 3/2

Since , we get  m1 = m2, so the two lines WX and YZ are parallel.

Thus, the lines WX and YZ are parallel.

They are not perpendicular, so if you mistyped something and it was parallel that would be the answer, or the answer is neither the mysterious angle form or perpendicular. Hope this helps.

Answer:

98.2

Step-by-step explanation:

100 x 0.982 = 98.2

98.2 / 100 = 0.982

Answer:

C) Exponential

Step-by-step explanation:

If you divide the consecutive y-values, you'll get a consistent result of 2:

16/8 = 2

8/4 = 2

4/2 = 2

2/1 = 2

This type of pattern corresponds to an Exponential Function.        

Answer:

3125

Step-by-step explanation:

5*5*5*5*5

Answer:

square root of 25 is 5

Step-by-step explanation:

when you take the numbers that multiply together to make 25 which in this case is 5 5*5=25

Answer:

8

Step-by-step explanation:

Answer:

x= 98

First, you have to find what the third angle is so;

180-53-45=82

The third angle in 82.  

A straight line is 180º. So you need to subtract 180-82 to get 98.

Step-by-step explanation:

Her score in computer to get a proportionally weighted average of 46% will be 134.

The total score for both subjects = 200 + 300 = 500

Since the proportionally weighted average is 46%, then her score will be:

= 46% × 500

= 0.46 × 500

= 230

Since she had 32% for her statistics test, which was out of a total of 300. Her score will be:

= 32% × 300

= 0.32 × 300

= 96

Therefore, her score in computer will be:

= 230 - 96

= 134

Read related link on:

https://brainly.com/question/24429956

Answer:

In order: 7.5, 7.5061, 7.56, 9.213

Step-by-step explanation:

Answer:

Orange and apple

Step-by-step explanation:

Mark brainliest, isaac farts all the time u don’t want him to fart on u next

Answer:

d

y

d

x

=

−

4

3

x

3

Explanation:

y

=

2

3

x

2

=

2

3

x

−

2

Applying the power rule:

d

y

d

x

=

2

3

⋅

(

−

2

)

x

−

3

=

−

4

3

x

3

Step-by-step explanation:

Answer:

3/8"

Step-by-step explanation:

Reduce the fraction.  The numerator and denominator are both divizable by 2 which leaves 3/8

Answer:

To divide two fractions, flip the second fraction and change the operation from division to multiplication. Therefore, there are 20 fifths in four wholes

(A)

Answer:

134

Step-by-step explanation:

So assuming x is the score on the computer science exam, it would take 300*0.32+x=500*0.46=230 to get x=134

Answer:

Olivia typed speed per minutes is 54 words

Step-by-step explanation:

Given:

Olivia typed 36 word in 2/3

Solution:

By Unitary method, calculate the speed of typing by Olivia as-

2/3 Minutes → 36 Words

1 Minutes → 36 ÷(2/3) Words

1 Minutes → 36x3÷2 Words

1 Minutes → 54 Words

Therefore Olivia typed speed is 54 word.

Answer:

43

Step-by-step explanation:

274 would be absurd and 83 would be close to a right angle which that angle is no where near. It looks like half a right angle meaning 45 and 43 is the closest to that so I think its 43

Answer:

3a^2

Step-by-step explanation:

2a-2a is equivalent to 0 there by making 3a^2 remaining

Answer:

See below:

Step-by-step explanation:

The first one is 4 since if we turn if 90 degrees 4 times we will get the same shape 4 times.

The second one is 1 since we will only get it after a 360 degree rotation once,

The third one is once since we wont ever get the same shape since the arrow but only after a 360 degree rotation.

The fourth one is only once since we cant rotate a 3 sided object in 4 ways, hence its only once

The fifth one is twice since it will be the same at 180 and 360 degrees.

Using the information given, it is found that the class width for this frequency distribution table is of 1.

In this problem, these following classes are given:

0 – 1 14

2 – 3 1

4 – 5 8

6 – 7 12

8 – 9 12

The classes not given, which are 1 - 2, 3 - 4 and 5 - 6, have values of 0.

The difference between the bounds of the classes is of 1, thus, the class width is of 1.

A similar problem is given at https://brainly.com/question/24701109

Answer:

Step-by-step explanation:

You can consider 78.50 as 78.5, cause we basically remove the 0 from it.  The whole point is, they are both the same.

Hello there!

Yes, 78.50 is the same as 78.5 because you can remove the 0 and the numbers will be identical.

Hope this helps!

~Just a joyful teen

[tex]SilentNature\\(GraceRosalia)[/tex]

Explanation:

A solution is where the lines intersect. Graph A shows exactly one solution, and it is at (-2,2)

Graph B doesn't have any solutions since the lines are parallel, and parallel lines never intersect. We consider this system to be inconsistent.

Graph C has infinitely many solutions. The two lines perfectly overlap, meaning there are infinitely many intersection points. All solutions here are of the form (x,y) = (x,2x-1)

Answer:A

Step-by-step explanation:A

Answer: Im 99.9% sure that its 4.48

Step-by-step explanation: 17 1/8 is 17.13 as a Decimal and that subtrcated by 12.65 is 4.48   :)

reflection over y axis...........