According to the synthetic division below, which of the following statements
are true?
Check all that apply.
Answers
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
Learn more about polynomial here:
https://brainly.com/question/11536910
#SPJ2
Related Questions
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.
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]
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
5h(-m+f)= 6
SOLVE FOR F!
Answers
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].
To know more about the equation
https://brainly.com/question/12788590
#SPJ2
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
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]
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]
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.
To know more about functions follow
https://brainly.com/question/25971887
#SPJ2
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
(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:
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 RightAlgebra I
Function NotationStep-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) = -5consider the inequality shown.
4x+ax-14>-24
What is the highest integer value of when x=-2
Answers
Answer:22
Step-by-step explanation:
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 :)~
If you answer my last question, I will answer yours :)
Answers
That profile pic is mine for almost everything.
My home email, my school email, EVERYTHING.
Except this
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:
Help me please!!!!!!!!
Answers
Answer:
it c
Step-by-step explanation:
Helpp I have 50 sec leftttn asappp
Answers
Answer:
The answer would be B) 17 1/3
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:
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:
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
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
Solve diiis!
2-(y+2)=3y
PPLLSS AANNDD TTHHXX!!
Answers
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
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.
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
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:
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
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
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
can someone help me !
Answers
Answer:
its b
Step-by-step explanation:
hope this helps
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)