According to the synthetic division below, which of the following statements are true?

According To The Synthetic Division Below, Which Of The Following Statements Are True?
According To The Synthetic Division Below, Which Of The Following Statements Are True?

Answers

Answer 1

Answer:

Options (A) and (D)

Step-by-step explanation:

We can write the given division as,

[tex]\frac{2x^2+6x-8}{x+5}=2x-4+\frac{12}{x+5}[/tex]

Option (A)

When (2x² + 6x - 8) is divided (x + 5), the remainder is 12.

True.

Option (B)

When (2x² + 6x - 8) is divided (x - 5), the remainder is 12.

False.

Option (C)

When x = 5,

2x² + 6x - 8 = 12

2(5)² + 6(5) - 8 = 50 + 30 - 8

                        = 72

False.

Option (D)

When x = -5,

2(-5)² + 6(-5) - 8 = 50 - 30 - 8

                          = 12

True.

Option (E)

(x - 5) is a factor of 2x² + 6x - 8

If (x - 5) is a factor value of 2x² + 6x - 8 should be zero.

False.

Option (F)

(x + 5) is a factor of 2x² + 6x - 8

If (x + 5) is a factor then by substituting x = -5 in the expression value should be zero.

But the value is 12.

False.


Related Questions

What is the equation of a line with a slope of 2 and a y-intercept of -5?

Answers

Answer:

y = 2x - 5

Step-by-step explanation:

y = mx + b

m = slope = 2

b = y-intercept = -2

Someone help me please!!

Answers

Answer:

( h − 4 ) ( h + 12 )

Step-by-step explanation:

I'm not even sure if this helps but it factored

Lucy will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $53 and costs an additional $0.09 per mile driven. The second plan has an initial fee of $42 and costs an additional $0.13 per mile driven.

For what amount of driving do the two plans cost the same?

What is the cost when the two plans cost the same?

Answers

Answer:

The amount driven would be 275, and the cost for both plans will be 77.75$

Step-by-step explanation:

make both equations

y=0.09x+53

y=0.13x+42

set them equal to each other and solve for x to get the distance

take that number and put it in one equation and solve for y to get the price of the plan for that value

Help!!! Worth 12 points !!!! I’ll mark brainliest!!!❤️

Answers

Answer:

good handwritting the first is 87

Step-by-step explanation:

The area of the triangle is 22.4cm^2.
Calculate the length, b, of the longest side of the triangle.

Please help, I will mark first correct answer brainliest.

Answers

Answer:

The longest side length b is approximately 13.172 cm

Step-by-step explanation:

The given parameters are;

The area of the triangle = 22.4 cm²

The given angles of the triangle = ∠97°

The given side of the triangle = 3.7 cm

The formula for the area of a triangle, A = 1/2 × a × b × sin(C)

Where;

a, and b are the side legs forming the angle C

Therefore,  we have;

A = 22.4 = 1/2 × 3.7 × a × sin(97°)

a =  22.4/(1/2 × 3.7 × sin(97°)) ≈ 12.199

a ≈ 12.199 cm

Therefore, by cosine rule, we have;

b² = a² + c² - 2 × a × c × Cos(B)

Substituting the values, gives;

b² = 12.199² + 3.7² - 2 × 12.199 × 3.7 × Cos(97°)

b² ≈ 173.507

∴ b ≈ √173.507 ≈ 13.172

b ≈ 13.172 cm

WILL GIVE BRAINLIEST

Answers

We Know that in geometry the Cos/Sin = Cotangent. And the abbreviation for this is cotø

Solve the equation for y.
3x + jy= 7

Answers

Answer:

[tex]y=\frac{7-3x}{j}[/tex]

Step-by-step explanation:

First, subtract 3x. This leaves you with jy=7-3x. Then, divide by j, leaving you with [tex]y=\frac{7-3x}{j}[/tex] .

3. Three of the following statements are true.
Which one is NOT true?
1-12] > 1
10> -4
120 >1-101
61-3

Answers

Answer:

The correct answer is A or option 1

What is the slope of the line that passes through the points (5,-11) and (-9,17)?

Answers

Answer:

-2

Step-by-step explanation:

m=y2-y1

    x2-x1

Answer:

-2=slope

Step-by-step explanation:

17--11=28

-9-5= -14

28/-14= -2

(a2 - b2)/(2 + d3)
a=6
b=4
d= 1 over 2
one of the answers is
A. 28.17
B. 13.18
C. 28.47
D. 10.125
E. 1.975
F. 9.4118

Answers

Answer:

28.47

Step-by-step explanation:

Answer:

F

Step-by-step explanation:

Given

[tex]\frac{a^2-b^2}{2+d^3}[/tex] ← substitute given values into the expression

= [tex]\frac{6^2-4^2}{2+(\frac{1}{2}) ^{3} }[/tex]

= [tex]\frac{36-16}{2+\frac{1}{8} }[/tex]

= [tex]\frac{20}{\frac{17}{8} }[/tex]

= [tex]\frac{20}{2.125}[/tex]

≈ 9.4118 ( to 4 dec. places ) → F

What is the value of x in the figure below? In this diagram, ABD ~ CAD. А с B 13 D3 A. 16 B. 208 C. 39 D. 48 E. 13/16 F. 139​

Answers

F. Square root of 39

Step-by-step explanation:

Value of [tex]\boldsymbol{x}[/tex] is [tex]\boldsymbol{\sqrt{39}}[/tex] units.

Option F. is correct.

Define similar triangles.

Two triangles are said to be similar if their sides are proportional and their corresponding angles are equal.

[tex]\bigtriangleup ABD \sim \bigtriangleup CAD[/tex]

[tex]\boldsymbol{\frac{AD}{CD}=\frac{BD}{AD} }[/tex]

  [tex]\frac{x}{13}=\frac{3}{x}[/tex]

  [tex]x^2=39[/tex]

   [tex]x=\sqrt{39}[/tex] units.

Value of [tex]\boldsymbol{x}[/tex] is [tex]\boldsymbol{\sqrt{39}}[/tex] units.

Option F. is correct.

Find out more information about triangle here:

https://brainly.com/question/2773823?referrer=searchResults

I NEEDA KNOW IF IM RIGHT , IDK HELP

Answers

Answer:

CD and DE are perpendicular because their slopes are -1/3 and 3

Step-by-step explanation:

Perpendicular lines will always have the opposite reciprocal.

sandy is having a thanksgiving feast for her family of 24. she is deciding between these two options. Help please which one is better and why . Due in three hours!!!

Answers

Answer:

option b

Step-by-step explanation:

HURRY PLZ 20 POINTS AND BRAINLIEST TO FIRST CORRECT ANSWER For dinner, Abelita chooses the Italian salad that costs $3.99 before tax, and Franco chooses the fettuccini alfredo that costs $7.17 before tax. If the sales tax is 5 percent, explain how to find the total cost for their dinner.

Answers

Answer: First, add 3.99 + 7.17. Then take the sum of those two numbers and multiply it by .05 to get 0.55. Since we are dealing money, round to the nearest hundredth to get .56. Add the sum of 3.99 and 7.17 (11.16) and .55 to get a total of 11.71. Therefore the total cost of their dinner, including tax, was $11.71.

Step-by-step explanation:

Find the equation for a line passing through (2,1) and (0,4). (standard form) Will give Brainliest

Answers

Example 1: Find the equation of the line passing through the points (–1, –2) and (2, 7).

Step 1: Find the slope of the line.

To find the slope of the line passing through these two points we need to use the slope

formula:

Step-by-step explanation:

use this on your problem

2,11,20 find the t15

Answers

Answer:

128

Step-by-step explanation:

There is a common difference between consecutive terms, that is

11 - 2 = 20 - 11 = 9

This indicates the sequence is arithmetic with n th term

[tex]t_{n}[/tex] = t₁ + (n - 1)d

where t₁ is the first term and d the common difference

Here t₁ = 2 and d = 9 , thus

t₁₅ = 2 + (14 × 9) = 2 + 126 = 128


! NEED HELP ASAP !

what is the domain of the function below?
(1,3) (2,5) (3,7) (4,9)
***SEE PICTURE***

Answers

Answer:

Step-by-step explanation:

1,2,3,4

Answer:

i put this into my calculator and it said the domain was:

{1, 2, 3, 4}

i doubt you need this, but it gave it to me as well, so..just incase you need it, the range is:

{3, 5, 7, 9}

hope this helps! :)

The sum of three numbers is 123. The third number is 3 times the second. The second number is 8 less than the first. What
are the numbers?

Answers

Answer
Do I show my work?
Explanation

Which angles are vertical angles?

Answers

I think NOQ POL.................................

If roots of a quadratic equation are real and equal, then which of the
following options is true?

Answers

Answer: where are the options??

Step-by-step explanation:

what does 28-8 represent?

Answers

Step-by-step explanation:

subtraction if that wut u askim

im really bad at math, can anyone help?

Answers

Answer:

yeah sure

Step-by-step explanation:

I can’t remember how to do this if I try a bit longer I can probably figure it out but not sure exactly. Please If anyone can help so I can come back and check it later

Answers

Answer:

£2.38

Step-by-step explanation:

2.5 cost £1.40

4.25 cost £ x

so x=(4.25*1.40)/2.5=5.95/2.5=£2.38

In triangle ABC, the measure of angle A is 48° and the measure of angle C is 24°. What type of triangle is triangle ABC?

Answers

Answer:108 degrees

Step-by-step explanation:

Answer:

Scalene triangle

Step-by-step explanation:

24+48= 72

180-72=108

All three angles are different meaning that the triangle must be a scalene triangle.

Help will give brainliest!!

Answers

Answer:

∠ TUW = 127°

Step-by-step explanation:

∠ QRU and ∠ TUW are corresponding angles and are congruent , thus

∠ TUW = ∠ QRU = 127°

Does this graph represent a function? Why or why not?
10
10
A. No, because it is not a straight line.
B. Yes, because it passes the horizontal line test.
c. Yes because it passes the vertical line test
D. No, because it fails the vertical line test.

Answers

Answer:

No because it does no pass the vertical line test

Step-by-step explanation:

Consider the function f(x) = x(x-4.
If the point (2+c,y) is on the graph of f(x), the following point will also be on the graph of f(x):
A) (c-2,y)
B) (2-c,y)

Answers

Step-by-step explanation:

point (c-2, y) lies on the graph of f(x)=x(x-4)f(x)=x(x−4) .

Step-by-step explanation:

Given function f(x)=x(x-4)f(x)=x(x−4) also point (2+ c,y) is on the graph of f(x) ,

We have to find out of given point which point will also be on the graph of f(x).

Consider the given function f(x)=x(x-4)f(x)=x(x−4)

f(x)=x(x-4)f(x)=x(x−4) can be rewritten f(x)=x^2-4xf(x)=x

2

−4x

Now we substitute the given point (2+ c, y) in the function given ,

we have,

f(x)=y=x(x-4)f(x)=y=x(x−4)

put for x as 2+c , we have,

\Rightarrow y=(2+c)(2+c-4)⇒y=(2+c)(2+c−4)

Solve, we get

\Rightarrow y=(2+c)(c-2)⇒y=(2+c)(c−2)

Thus, both point (2+c, y) and (c-2, y) lies on the graph of f(x)=x(x-4)f(x)=x(x−4)

Thus, option (1) is correct.

giving brainliest h e l p

Answers

Answer:

She can buy 1 bullitin board.

Step-by-step explanation:

1347 divided by 75 is 17.96

I HOPE THIS HELPS. EVEN THIS IS NOT THE ANSWER, I HOPE IT HELPS YOU FIND THE ANSWER.

she can buy one board.. <33

Line A has a slope of -4/3 and line B has a slope of -3/4. Are both lines perpendicular?

Answers

Answer:

no they are not

Step-by-step explanation:

Answer:

Yes, they are perpendicular to each other.

Step-by-step explanation:

If lines are corresponding in any way, they are automatically perpendicular. These lines are corresponding to each other when switching the x and y values.

Feel free to give brainliest.

Have an excellent day!

A formal proof uses all of the following components except what?

A.) theorems
B.) a set of examples
C.) geometry rules
D.) algebra rules

Answers

I think it is c or d but i would go with c for sure

Answer:

D.) algebra rules

Step-by-step explanation:

Had it on the quiz

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