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
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Related Questions
Calculate the area of the shaded region
Answers
Area of the rectangle = (18 m) (12 m) = 216 m²
Area of the triangle cutout = 1/2 (7 m) (9 m) = 63/2 m²
Area of the shaded region = 216 m² - 63/2 m² = 369/2 m² = 184.5 m²
Manny makes dinner using 1 box of pasta and 1 jar of sauce. If pasta is sold in packages of 10 boxes and sauce is sold in packages of 2 jars, what is the least number of dinners that Manny can make without any supplies leftover?
Answers
Answer:
10 dinners
Step-by-step explanation:
We solve using the Least Common Multiple Method.
We are told:
Pasta is sold in packages of 10 boxes Sauce is sold in packages of 2 jars.
We find the Multiples of 2 and 10
Multiples of 2:
2, 4, 6, 8, 10, 12, 14
Multiples of 10:
10, 20, 30
Therefore,
LCM(2, 10) = 10
The least number of dinners that Manny can make without any supplies leftover is 10 dinners
What is the vertex for the graph shown below?
a. (0,0)
b. v=1
c. v=5
d. (5,1)
Answers
Answer:
D. (5,1)
Step-by-step explanation:
The vertex of the graph is V ( 5 , 1 ).
Given data:
The vertex of a function is a point on the graph where the function reaches its highest or lowest point, depending on whether the function is concave up or concave down.
The vertex represents the minimum or maximum point of the function and provides information about the axis of symmetry of the graph. If the function opens upward (concave up), the vertex is the lowest point (minimum).
So, the highest point in the graph where the function reaches the minimum value is when x = 5
So, the value of y = 1
Hence , the vertex is V ( 5 , 1 ).
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The measure of a square side is 1.2 feet what is the perimeter of the square inches
Answers
Answer: It would be 4.8
Step-by-step explanation: Each side of a square is equal, there's 4 sides in a square, so you multiply 1.2 by 4. That should give you the perimeter.
For a dinner party, a catering company charges a set
fee of $150 plus $20 per person.
How much will it cost for 35 people to attend the event?
Justify your work
Answers
Answer:
$850
Step-by-step explanation:
35 x 20 = 700 + 150 = $850 or 850
$20 per person and 35 people = $700 + the $150 fee = $850
A grandparent deposits $3,000 each year into an annuity that pays 8% interest. Find
the future value at the end of 10 years.
Answers
Plss help I’ll mark brainlist
Answers
Answer:
If it's 16, then it's -4 > x
Step-by-step explanation:
Ignore the inequality sign first and solve 12 = -3x
This would equal -4 = x
Now, when you divide or multiply both sides by a negative, you have to change the inequality sign so you change it from -4 > x to -4 < x
Help!! 10 pts and brainliest!
Answers
Answer:
25 times larger
Step-by-step explanation:
hope this helped
Explanation:
B is a scaled copy of A with a scale factor of 5 which mean B is drawn 5 times larger than A
4. write the following in standard form
four hundred, thirty - two thousand, six hundred eight
Answers
5. Write the equation in slope-intercept form. 6x + 9y = 27
Answers
Answer:
y= -6/9 x + 3
Step-by-step explanation:
subtract 6x from both sides
9y = -6x + 27
divide by 9
y= -6/9 x + 3
Answer:
Step-by-step explanation:
6x + 9y = 27
9y = -6x + 27
y = -[tex]\frac{6}{9}[/tex]x + 3
y = - [tex]\frac{2}{3}[/tex]x + 3
A rectangle has an area of 135 ft 2 . What is the length, if the width is 9 ft?
Answers
Answer:
15 ft
Step-by-step explanation:
A=LxW
135 ft2 =m X 9ft
Divide 135 by 9
& that equals 15ft.
To check your answer, you multiply 15X9 and that equals 135. So the length of the rectangle is 15ft.
what number when divided by nine give 12 remainder 11
Answers
Robin and Shaon obtained 5/6 and 4/5 of the total marks respectively in the annual examination.
Robin obtained 30 marks more than Shaon.
What is the total marks? And what marks did
everyone obtain?
Answers
Answer:
sjsnana.amamakajsakqqmk
PLEASEE HELPPP
solve for x
-4 ≤ 11 - 3x
enter answer as an inequality.
Answers
What types of investments are monitored with candlestick charts?
Candlestick charts graph the high, low, open, and
prices of
Answers
Answer:
Candlestick charts graph the high, low, open, and close prices of stocks
Answer:
close
stocks
.
Step-by-step explanation:
Which quadrant would contain the point of showing 8°C above zero and an increase of 4 people sledding !
A: Quadrant 1
B:Quadrant 2
C:Quadrant 3
D:Quadrant 4
Answers
Answer:
yvhj gycvnuvngfyggjcgybkivuv
Answer:
Quadrant 1
Step-by-step explanation:
Anyone want a BRAINLIEST, 60 POINTS?!?!? THEN PLZ HELP ME FIRST CORRECT ANSWER GETS BRAINLIEST
Compare rates of change.
The equation below can be used to find the length of a foot or forearm when you know one or the other.
(length of the foot) = 0.860 • (length of the forearm) + 3.302
If you let y = length of the foot and x = length of the forearm, this equation can be simplified to
y = 0.860x + 3.302.
Using this equation, how long would the foot of a person be if his forearm was 17 inches long?
What is the rate of change of the equation from Part A?
Compare the equation from Part A to your data. Are they the same? Which has a greater rate of change? Why do you think the values are different?
Is the relation in your data a function? Why or why not? Could the equation in Part A represent a function? Why or why not? Explain your answer.
Answers
Answer:
Step-by-step explanation:
y=0.860x17+3.302
foot is 17.992 inches long
Unfortunately, I don't have access to your data so i can't give a solid answer. However, I can tell you that if your coefficeint (number before x) is greater than 0.86, you have a greater rate of change. If its smaller, its a lower rate of change.
Answer: 17.922
Step-by-step explanation:
(-4,6), (r,10) and m = -2. what is r?
Answers
Answer:
-6
Step-by-step explanation:
The formula of slope Y2-Y1/X2-X1
so you actually use this formula equal to -2
10-6/X-(-4) = -2
write the slope intercept form of the equation of each line
Answers
Answer:
y=1/5x+3
Step-by-step explanation:
Slope-intercept form is written as y=mx+b, with mx representing slope and b representing the y-intercept.
Referring to the line on the graph, find where the line crosses the y-axis and you get 3 for your y-intercept. Now, to get the slope start from the point of the y-intercept (0,3) and choose another point. For example, choose (5,4)
Remember rise over run. Start from the y-intercept and count up and over until you get to (5,4). When doing this, you get 1/5
Equation is: y=1/5x+3
PLEASE HELP ME QUICK!!!!!
For proportional percent problems, why do you put a 100 on the bottom of the right proportional ratio (fraction)?
Answers
Answer:
because its out of 100
Step-by-step explanation:
cause it could be something else
What would 3 1/3 be if you had to borrow?
Answers
we will eat chocolate of rupee 1 and divide other amount ofoney equally
What is this answer 5⁶ ÷ 5², please help.
Answers
5^2 is 25
So you would take 15,625 and divide it by 25 you would get 625.
Therefore the answer is 625z
another frreeeeee point now i got 0 great
Answers
Answer:
THXXX
Step-by-step explanation:
Answer:
TY! :D
Step-by-step explanation:
lol
please help. first one in gets brainliest along with 5* and thanks.
Answers
Answer:
18-x
18/2=6
18-5=13
18/2=6
18-5=13 I’m not sure
ANYONE PLS HELP MEEEE!!!!!!!
Answers
Answer:
Step-by-step explanation:
Town B breaks the population down to men women and children. That has meaning, although I did not check to see if the total is the same as what is stated above the total.
For the second question, the answers in order are
does not
cannot
does not.
You can't add things that do not have the same meaning.
does
can
does
You can add these 3 numbers together because all three numbers tell something about the people in town B
find the slope of the line that passes through (10,6) and (2,11).
Answers
Answer:
m=−5/8
Step-by-step explanation:
Please help brainiest will give you!
Find the slope of it!
A. -3
B. -1/3
C. 1/3
D. 3
Thanks!!!!!!
Answers
Answer:
the answer is D
Step-by-step explanation:
......................
Answer:
-1/3
Step-by-step explanation:
In a lab, 30% acid solution is being mixed with a 5% acid solution to create a 10% acid solution. What is the ratio of the amount of the 30% solution used to create the 10% solution?
Answers
Answer:
1:4
Step-by-step explanation:
Please help me with this - my teacher didn't explain this and if I get an f my parents will kill me please help.
Answers
Answer:
uh what do you want help with?? id be happy to help:D
Step-by-step explanation:
George is buying gifts for his three sisters. He has $45 to spend and has a coupon for $12 off. Write an inequality to represent the amount he can spend.
Answers
Answer:
The inequality that represents how much George can spend is y ≤ $45 + $12, which gives y ≤ $57
Step-by-step explanation:
The given parameters are;
The amount George has to spend for his sisters = $45
The amount of coupon George has = $12
The inequality that represents how much George can spend, y, is given as follows
y ≤ $45 + $12.