According to the synthetic division below, which of the following statements
are true?
Check all that apply.

According To The Synthetic Division Below, Which Of The Following Statementsare True?Check All That Apply.

Answers

Answer 1

The correct statements about given synthetic division are C, D, and F

What is a quadratic polynomial?

"It is a polynomial with degree 2."

What is synthetic division?

"It is defined as a way of dividing one polynomial by another polynomial of first degree."

For given question,

We have been given a quadratic polynomial [tex]F(x)=4x^{2} -17x-15[/tex]

We can factorize above quadratic polynomial as,

[tex]F(x)\\=4x^{2} -17x-15\\=4x^{2} -20x+3x-15\\=4x(x-5)+3(x-5)\\=(x-5)(4x+3)[/tex]

This means the factors of [tex]4x^{2} -17x-15[/tex] are (x - 5) (4x + 3)

And the roots of the polynomial would be,

[tex]\Rightarrow F(x)=0\\\Rightarrow 4x^{2} -17x-15=0\\\Rightarrow (x-5)(4x+3)=0\\\Rightarrow x-5=0~~,~~4x+3=0\\\Rightarrow x=5~~,~~x=-\frac{3}{4}[/tex]

This means, the roots of [tex]4x^{2} -17x-15[/tex] are 5 and [tex]\frac{-3}{4}[/tex]

Therefore, the correct statements about given synthetic division are C, D, and F

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Related Questions

Help me please!!!!!!!!

Answers

Answer:

it c

Step-by-step explanation:

Give the equation of the line in
slope intercept form.
y = [?]x + []
Enter the number that belongs in the green box.
Enter

Answers

Answer:

y = 3x - 2

Step-by-step explanation:

The equation of a line is y = mx + c where m is the slope of the line and c is the y-intercept. I will be calculating the slope of the line using the points (1, 1) and (2, 4).

Slope = [tex]\frac{rise}{run}[/tex]

          = [tex]\frac{4-1}{2-1}[/tex]

          = 3

Based on the graph, the y-intercept is (-2) so the equation of the line is:

y = 3x - 2

The slope is y= 3x-2 is correcttt

is 6^p > 0, then p > 0. Is this statement true, sometimes true, or not true?

Answers

Answer:

true

Step-by-step explanation:

Identify the graph of f(x) = -3 |x+2|.

Answers

Answer:

the first one

Have a safe and happy new years

The function f(x) = -3 |x+2| represent the graph A. The correct option is A.

What is a function?

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The function f(x) = -3 |x+2| is an absolute function. On plotting the graph of the function we will get the graph at (-2,0) coordinate and cut the y axis at ( 0,-6 ) coordinate. The graph is attached with the answer below.

Therefore, the function f(x) = -3 |x+2| represent the graph A. The correct option is A.

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Which of the following is a solution to the equation 3/4x - 12 = -18?
4.5
-22.5
-40
-8

Answers

Answer:

-8

Step-by-step explanation:

3/4x=-18+12

x=-6×4/3

x=-8

Answer:

x = -8

Step-by-step explanation:

[tex] \frac{3}{4} x - 12 = - 18[/tex]

i) multiply both sides of equation with 4

[tex] 4(\frac{3}{4} x - 12) = 4( - 18)[/tex]

[tex](4 \times \frac{3}{4} x) + (4 \times ( - 12)) = - 72[/tex]

[tex]3x - 48 = - 72[/tex]

ii) move -48 to the right-hand side and change its sign

[tex]3x = - 72 + 48[/tex]

iii) calculate the sum

[tex]3x = - 24[/tex]

iv) divide both sides of equation with 3

[tex] \frac{3x}{3} = \frac{ - 24}{3} [/tex]

[tex]x = - 8[/tex]

Part A: Enter values for the ratio of
y
for the equation y = 2x.
2
х
Y
y
Value of
C
__1
-2
1
2
2
4
Y
Part B: Enter values for the ratio of for the equation y= 2x + 2.

Answers

rawr rawr rawr rawr rawr rawr rawr
Huh better explain please

PLEASE HELP!! PLEASE HELP!! (also answer my other questions too)

A shipping company has 3 different sized cube boxes. The volume of the boxes are 216in^3, 512in^3, and 1000in^3. Mia need to ship a gift with a height of 7 inches.

What is the height, in inches, of the smallest box Mia can use?

Answers

Answer:

A shipping company has 3 different sized cube boxes.The volume of 1 box is 216 in 3=648.The volume of 2 box is 512 in 3=1536.The volume of 3 box is 1000 in 3 = 3000.

So, Mia needs to ship a gift with a height of 7 inches.

648 , 1536-3000

-816

Step-by-step explanation:

can someone help me !

Answers

Answer:

its b

Step-by-step explanation:

hope this helps

It’s alternate extior angles the answer is b.. hope this is helpful!

(8,0) (10,14) (14,30)

Answers

Answer:

What is the answer u want dude

Step-by-step explanation:

Answer:

whats the answer

Step-by-step explanation:

EMERGENCY
i+i+i+i=-8
i=

Answers

Answer

i=2

Step-by-step explanation:

i+i+i+i=8

4i=8

i=8/4

i=2

i + i + i + i= -8
First, combine like terms (i’s)
4i=-8
Divide both sides by 4 to isolate i
4i=-8
—- —-
4 4

i=-2

You can plug this back in to see if it works.

(-2) + (-2) + (-2) + (-2) = -8

-8=-8

Therefore, i= -2

Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio.

A(-6, 9), B(2, 1); Ratio 5 to 3

Answers

Answer:

The coordinates are (-1,4)

Step-by-step explanation:

To get the coordinates, we use the internal division formula

Mathematically, that will be;

(nx1 + mx2)/(m+n) , (ny1 + my2)/(m + n)

In this case;

m = 5

n = 3

(x1,y1) = (-6,9)

(x2,y2) = (2,1)

Substituting these values, we have that;

(3(-6) + 5(2)/(5+3) , (3)(9) + 5(1))/(5 + 3)

= (-18 + 10)/8 , (27+5)/8

= -8/8,32/8

= (-1,4)


1. For the function f(x) = 3x + 1, find f(-2). (substitute -2 in for x)


Answers

Answer:

f(-2) = -5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 3x + 1

f(-2) is x = -2

Step 2: Evaluate

Substitute in x:                    f(-2) = 3(-2) + 1Multiply:                               f(-2) = -6 + 1Add:                                     f(-2) = -5

For the function y =[tex]3x^{2}[/tex]– 2x + 5, what is the output if the input is 4?

A) 9

B) 21

C) 45

C) 51

ill give brainly to first correct answer

Answers

Answer:

C

Step-by-step explanation:

The input is the value of x. Substitute x = 4 into y for output

y = 3(4)² - 2(4) + 5 = 3(16) - 8 + 5 = 48 - 8 + 5 = 45

Thus the output is 45 → C

Helpp I have 50 sec leftttn asappp

Answers

Answer:

The answer would be B) 17 1/3

Marcus spent 10 hours doing his homework last week. This week he spent 11 hours doing homework. He says that he spent 110% more time doing homework this week. Is he correct? Show your work to justify your decision.

Answers

Answer:

Yes he is correct, If it was 100% then it would stay the same 10 hours. But since it's 110%, it is in fact 11.

Step-by-step explanation:

Find the sum of 5
and 7
Step 2: Add the fractions by dragging each bar to the dot on
the number line
02 03 04 05 06 08 10 12
The expression written in equivalent form with common
denominators is
70 규
The sum is
V
The common denominator of both
fractions is 10
You can proceed to step 2

Answers

Answer:

[tex] \frac{10}{50} + \frac{35}{50} [/tex]

Sum: [/tex] \frac{9}{10} [/tex]

Step-by-step explanation:

Given, [tex] \frac{1}{5} [/tex] and [tex] \frac{7}{10} [/tex]

Expressing in an equivalent form whereby they would have a common denominator, we would multiply the numerator and denominator of each fraction by the denominator of the other fraction.

Thus, we would have:

[tex] \frac{1 \times 10}{5 \times 10} = \frac{10}{50} [/tex]

[tex] \frac{7 \times 5}{10 \times 5} = \frac{35}{50} [/tex]

[tex] \frac{10}{50} + \frac{35}{50} [/tex]

The sum is: [tex] \frac{10}{50} + \frac{35}{50} = \frac{10 + 35}{50} = \frac{45}{50} [/tex]

Simplify

[tex] \frac{45}{50} = \frac{9}{10} [/tex]

To rewrite the expression ab+a+b+1, Jozelle first writes (ab+a) + (b+1). What property justifies this?

Answers

Answer:

I believe it is associative property of addition or commutative

Step-by-step explanation:

Please help me 32 points
Problem
Choose the inequality that represents the following graph.

Answers

Answer:

im pretty sure its d

Step-by-step explanation:

pretty sure it’s d; i think

Which of the following is an example of an improper fraction? a. 10/3, b.6/7, c. 4/5, d. 3/10

Answers

Answer:

A. 10/3

Step-by-step explanation

improper fraction examples;

[tex]\frac{12}{3}[/tex]   [tex]\frac{10}{9}[/tex]   [tex]\frac{11}{10}[/tex]

An improper fraction is a fraction that has a numerator bigger than the denominator, ( [tex]\frac{N}{D}[/tex] ), therefore the answer would be A.

Hope this helps

Final Answer: A. [tex]\frac{10}{3}[/tex]

Steps/Reasons/Explanation:

Question: Which of the following is an example of an improper fraction? a. 10/3, b.6/7, c. 4/5, d. 3/10

An improper fraction is a fraction that's numerator is greater or equal to its denominator. The correct answer would be A. [tex]\frac{10}{3}[/tex] because its numerator is greater than its denominator.

~I hope I helped you :)~

5h(-m+f)= 6

SOLVE FOR F!

Answers

6/5h+m

Just divide by 5h and then add m

Hence, the value of [tex]5h(-m+f)=6\\\\[/tex] is [tex]f=\frac{6}{5h}+m[/tex].

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given equation is

[tex]5h(-m+f)=6\\\\-m+f=\frac{6}{5h}\\\\f=\frac{6}{5h}+m[/tex]

Hence, the value of [tex]5h(-m+f)=6\\\\[/tex] is [tex]f=\frac{6}{5h}+m[/tex].

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3. Solve (5x – 4)(x – 6). (2 points) O x = 4, x = 6 X = -4, X = -6 X = 1.25, x = 6 0 x = 0.8, x = 6​

Answers

Answer:

x=0.8

x=6

Step-by-step explanation:

(5x-4)(x-6)=0

1)5x-4=0

2)x-6=0

1)5x=4

x=4/5 or 0.8

2)x=6

What is the equation of a line that is perpendicular to -x + 2y =4 and passes through the point (-2, 1)

Answers

Answer:

y = -2x - 3

Step-by-step explanation:

-solve for y: y = 1/2x + 2

-perpendicular equals opposite slope: -2

-plug in the point: (1) = -2(-2) + b

                               1 = 4 + b

                                b = -3

put it all together: y = -2x - 3

If you answer my last question, I will answer yours :)

Answers

:O
That profile pic is mine for almost everything.
My home email, my school email, EVERYTHING.
Except this

What is the slope of this line? please explain because it is confusing if I only got the number of the slope:)

Answers

Answer:

8/3

Step-by-step explanation:

Use rise over run. Find two points that are at perfect points. For example (3,2). Don't use something like (2.45, 7.34), That will make it difficult. I used (0, 4) and (-3, 4). To get from (-3,4) to (0,4), you have to go up 8 and to the right 3. Always count up or down first and then side to side.  

please help which one of these answers is it?

Answers

Answer:

[tex] m\angle ABC = 35\degree [/tex]

Step-by-step explanation:

(3x - 70)° = x° (corresponding angles)

3x - 70 = x

3x - x = 70

2x = 70

x = 70/2

x = 35

[tex]

m\angle ABC = (3x - 70)\degree \\\\

m\angle ABC = (3\times 35- 70)\degree \\\\

m\angle ABC = (105- 70)\degree \\\\

\huge\red {\boxed{m\angle ABC = 35\degree }} \\\\[/tex]

Use the GCF and the distributive property to find the expression that is
equivalent to 32 + 56.
A. 4(8 + 14)
B. 8(4+8)
C. 8(4 + 7)
D. 2(16 + 28)

Answers

Answer: a

Step-by-step explanation:

When you multiply 4 and 8 together you get 32. When you multiply 4 and 14 ypu get 56

What equal to 3(x+y)

Answers

Answer:

Step-by-step explanation:

3(x+y)= 3x+3y,

you have to multiply the number with each term that is in parenthesis

Answer:

3x+3y

Step-by-step explanation:

3x+3y is pretty much the simplified version.

Solve diiis!
2-(y+2)=3y
PPLLSS AANNDD TTHHXX!!

Answers

The answer is : y = 0

How to solve your question

Solve for y:

-y = 3 y

Subtract 3 y from both sides:

-y - 3 y = 3 y - 3 y

-y - 3 y = -4 y:

-4 y = 3 y - 3 y

3 y - 3 y = 0:

-4 y = 0

Divide both sides of -4 y = 0 by -4:

(-4 y)/(-4) = 0/(-4)

(-4)/(-4) = 1:

y = 0/(-4)

0/(-4) = 0:

Answer: | y = 0

consider the inequality shown.

4x+ax-14>-24

What is the highest integer value of when x=-2

Answers

Answer:22

Step-by-step explanation:

PLease help I promise this is easy

Answers

Answer:

use

y2-y1

____

x2-x1.

unfortunately I forgot how to solve it but pick 2 coordinates

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