Which of the following polynomial functions is graphed below? OA. f(x) = (x - 2) ^ 2 * (x + 3) * (x - 1) O B. f(x) = (x + 2) ^ 2 * (x - 3) * (x + 1) O. f(x) = (x + 5) * (x + 1) ^ 2 * (x - 1) D. f(x) = (x - 5) * (x - 1) ^ 2 * (x - 1)
Answers
The function of the polynomial is (b) [tex]f(x) = (x + 2) ^ 2 * (x - 3) * (x + 1)[/tex]
From the graph, we have the following highlights
The graph crosses the x-axis at x = -1 and x = 3The graph touches the x-axis at x = -2The above highlights mean that:
The function has a multiplicity of 1 at x = -1 and x = 3The function has a multiplicity of 2 at x = -2So, the function of the polynomial is:
[tex]f(x) =a(x + 2)^2(x + 1)(x - 3)[/tex]
Assume a = 1.
So, we have:
[tex]f(x) =1(x + 2)^2(x + 1)(x - 3)[/tex]
Multiply
[tex]f(x) =(x + 2)^2(x + 1)(x - 3)[/tex]
Hence, the function of the polynomial is (b) [tex]f(x) = (x + 2) ^ 2 * (x - 3) * (x + 1)[/tex]
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Related Questions
Which answer best describes the system of equations shown in the graph?
A. Consistent and dependent
B. Inconsistent
C. Not enough information
D. Consistent and independent
Thanks.
Answers
Answer:
A. Consistent and dependent
Answer:
D. Consistent and independent
Step-by-step explanation:
A. Consistent and dependent = two lines that overlap with each other so they have infinite solutions (ex. y = 4x and 4y = 16x equal the same thing)
B. Inconsistent = parallel lines that will NEVER meet each other, so no solution (y = 4x and y = 4x + 1 have the same slope so the steepness of the two lines is the same - they will NEVER have at least 1 point intersecting)
C. Not enough information - incorrect because there are two lines on a graph, and that is enough info to solve
D. Consistent and independent = two lines with EXACTLY ONE SOLUTION (ex. y = 4x + 3 and y = 2x + 2 have exactly one point that overlaps)
Building For safety, the angle a wheelchair ramp makes with the horizontal should
be no more than 3.5º. What is the maximum height of a ramp of length 30 ft? What
distance along the ground would this ramp cover? Round to the nearest tenth of
a foot.
Answers
Answer: 8.6
Step-by-step explanation:
8.57142857143 --> 8.6
Use the figure to find the measure of
Answers
Answer:
m∠URV = 124°
Step-by-step explanation:
hope this helps
Answer:
what is the work to figure out the anwser?
Step-by-step explanation:
100 POINTS + WILL MARK YOU BRAINLY PLEASE HELP
a) Create a scatter plot displaying the data in the table. Be sure to include a linear trend line.
(only answer if you know the answer)
Answers
Answer:
The scatter plot is in the picture attached
HELPPPP please help for brainlist !!!!!!!!!!!!!!
Answers
Answer:
a(x) and d(x)
hope it helps, have a good day!
dont forget my brainliest!
Step-by-step explanation:
Casey makes a grape salad using green grapes and red
grapes. She adds 5 green grapes for every 3 red
grapes. What is the ratio of all grapes to green grapes in the
grape salad?
Answers
Answer:
the answer is 8:5
Step-by-step explanation:
help me 20 pts pls and brainliest
Answers
Answer:
elaboration
Step-by-step explanation:
tthe definition of elaboration is the addition of more detail concerning what has already been said. so out of these options, elaboration best fits answers the question
To elaborate means to give more clarification about something
I need help. What is the slope?
Answers
Ok done. Thank to me :>
Solve the following system: y = x 3 3x y = 19 (7, 4) (â’4, 7) (4, 7) (4, â’7).
Answers
The correct option is C. (4,7).
Given equations,
[tex]y=x+3....(1)\\3x+y=19....(2)[/tex]
We have to solve the equations.
From equation 1 put the value of y in equation 2 we get,
[tex]3x+x+3=19\\4x=16\\x=4\\[/tex]
Now putting the value of x in equation 1 we get,
[tex]y=4+3\\y=7[/tex]
Hence the required solution of the above equations is (4,7).
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The area of a regular pentagon is 600 cm². Calculate the length of one side of the pentagon.
Answers
Answer:
18.675cm
just search it
Can someone help me :
Answers
25*10to the power of 6 in standard form
Answers
Answer:
2.5 x 10^7
Step-by-step explanation:
Shelly sleeps for 7 hours 30 minutes in a day. For how many hours did she sleep in the month of January?
Answers
Answer:
Shelly slept 232 hours and 30 minutes in the month of January
Step-by-step explanation:
31 days in January, so the equation will be
31 x 7.5 ( I wrote 0.5 because 30 minutes is half a day)
= 232.5 hours
Shelly slept 232 hours and 30 minutes in the month of January
Answer:
232.5 hours
Step-by-step explanation:
Well, the month of January has 31 days.
If shelly sleeps for 7.5 hours a day, and she sleeps 31 days, we need to do multiplication!
7.5*31=232.5 hours!
ALGEBRA Find x and y so that each quadrilateral is a parallelogram.
(Please do at least 2, but doing all 4 would be greatly appreciated, and i will mark u brainliest.)
Answers
y=19
2x-8=x+16
2x=x+24
x=24
8) y=14
x=3
9) x=44
y=20
10) x=17
y=9
G and F are supplementary angles. If F is fifteen less then four times the measure of G find the measure of both angles
Answers
Answer:
G=39, F=141
Step-by-step explanation:
Let us set up equations, with G and F as variables.
Since G and F are supplementary, they must add up to 180.
G+F=180
Given the equation, we can set it up too
F = 4 * G - 15
Here, we can solve for this equation by plugging the second equation into the first one with substitution
G+4*G-15=180
simplify and solve
5G=195
G=39
Plug this into the first equation to solve for F:
39+F=180
F=141
We can plug both answers into the second equation to check and find that we are indeed right.
There are 3 times as many books in the town library as there are in the school library. The town library has 2,676 books.
How many books are in the school library?
Answers
Answer: First we know the Town Library has 3 times as many books as there are in the School Library. The Town Library has 2,676 books.
Divide 2,676 by 3. 2676÷3= 892
So your answer is: 892 books.
Hope I helped. :)
The number of books in the library will be 892.
What is an expression?
Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that there are 3 times as many books in the town library as there are in the school library. The town library has 2,676 books.
The number of books will be calculated as,
Number = 2676 / 3
Number = 892
Hence, the number of books will be 892.
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How many extraneous solutions does the equation below have? StartFraction 9 Over n squared 1 EndFraction = StartFraction n 3 Over 4 EndFraction.
Answers
The equation has one extraneous solution which is n ≈ 2.38450287.
Given that,
The equation;
[tex]\dfrac{9}{n^2+1} =\dfrac{n+3}{4}[/tex]
We have to find,
How many extraneous solutions does the equation?
According to the question,
An extraneous solution is a solution value of the variable in the equations, that is found by solving the given equation algebraically but it is not a solution of the given equation.
To solve the equation cross multiplication process is applied following all the steps given below.
[tex]\rm \dfrac{9}{n^2+1} =\dfrac{n+3}{4}\\\\9 (4) = (n+3) (n^2+1)\\\\36 = n(n^2+1) + 3 (n^2+1)\\\\36 = n^3+ n + 3n^2+3\\\\n^3+ n + 3n^2+3 - 36=0\\\\n^3+ 3n^2+n -33=0\\[/tex]
The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace y
with 0 and solve for x. The graph of the equation is attached.
n ≈ 2.38450287
Hence, The equation has one extraneous solution which is n ≈ 2.38450287
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(34.23 x 2.3) + 432.15
Answers
Answer:
The answer is 510.879
Step-by-step explanation:
Multiply parentheses first:
34.23×2.3=78.729
Add to 432.15
=510.879
How is the key event in this paragraph illustrated?
Answers
Pearl is 54 5/6 inches tall. Lucas is 1 1/3 inches shorter than Pearl and Jane is 1 1/4
inches shorter than Lucas. How tall is Jane?
Answers
Answer:
52 1/4
Step-by-step explanation:
A retailer plans to sell two models of earbuds at costs of $250 and 5400.
The $250 model yields a profit of $45 and the $400 model yields a profit of
$50. The retailer estimates that the total monthly demand will not exceed
250 units. Find the number of units each model that should be stocked in
order to maximize profit, given that the retailer is not investing more than
$70,000 in inventory
Answers
200 $ 250 earbuds and 50 $ 400 earbuds should be stocked.
Given that a retailer plans to sell two models of earbuds at costs of $ 250 and $ 400, and the $ 250 model yields a profit of $ 45 and the $ 400 model yields a profit of $ 50, and the retailer estimates that the total monthly demand will not exceed 250 units, to find the number of units each model that should be stocked in order to maximize profit, given that the retailer is not investing more than $ 70,000 in inventory, the following calculation should be performed:
250 x 250 + 0 x 400 = 62,500 200 x 250 + 50 x 400 = 70,000
Therefore, 200 $ 250 earbuds and 50 $ 400 earbuds should be stocked.
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I need help and I can’t find any sadly. Help!!
Answers
Answer:
D, A, E, C, B or 2, 5, 4, 1, 3
Step-by-step explanation:
In general, you compare each line to the one before, and figure out what step was taken. Anything involving an arithmetic operation is allowed by the <Operation> Property of Order.
1. Matches the equation you're solving. This equation is Given.
2. The parentheses have been eliminated by multiplying their insides by the factor outside. The Distributive Property says you can do that.
3. The term 7x has been subtracted from both sides. The Subtraction Property of Order says you can do that.
4. The term -20 has been eliminated by adding 20 to both sides. The Addition Property of Order says you can do that.
5. Both sides have been divided by 18. The Division Property of Order says you can do that.
Which of the following sets of points are vertices of a right triangle?
O AC-1, 1), B(3,5), C(4, - 4)
O None of the other answers are correct
O A(-1, 3) B(-4, -3) C(-4,1)
O A(-1, -3) B(4, - 3), C(2, - 1)
A(-2, 2) B(1, - 4). C(4, 2)
Answers
Answer:
24 square units
Hope you can get an idea from it.
Carry on learning.
Doubt clarification - use comment section.
May I please receive help?
Answers
Step-by-step explanation:
28^2+x^2=32^2
784+x^2=1024
x^2=240
x=15.49
x=~15.5
Plzzzz help meeeeee plzzzzz
Answers
Answer:
i need points sorry
Step-by-step explanation:
Describe the type of correlation each scatter plot shows. Draw a trend line that
models each data set and find the equation of that trend line.
Answers
The correlation coefficients off both the scatter plots are mentioned above.
What is correlation?Correlation is a statistical measure that expresses the extent to which two variables are linearly related.The sample correlation coefficient is defined as[tex]${\displaystyle {\begin{aligned}r_{xy}&={\frac {\sum x_{i}y_{i}-n{\bar {x}}{\bar {y}}}{ns'_{x}s'_{y}}}\\[5pt]&={\frac {n\sum x_{i}y_{i}-\sum x_{i}\sum y_{i}}{{\sqrt {n\sum x_{i}^{2}-(\sum x_{i})^{2}}}~{\sqrt {n\sum y_{i}^{2}-(\sum y_{i})^{2}}}}}.\end{aligned}}}[/tex]
where [tex]{\displaystyle s'_{x}}[/tex] and [tex]{\displaystyle s'_{y}}[/tex] are the uncorrected sample standard deviations of
X and Y.
Given are the scatter plot graphs as shown.
For the graph {1}, the correlation coefficient is positive and is in range of between 0.7 to 0.8
For the graph {2}, the correlation coefficient is negative and is in range of between -0.4 to 0.45
Therefore, the correlation coefficients off both the scatter plots are mentioned above.
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The half life of a radioactive substance is 10 years. If 64 grams are placed in a
container, how much will remain after 50 years?
Answers
Answer:
2 grams
Step-by-step explanation:
50 years is 5 half lives as 1 half life is 10 years.
64 divide 2 = 32-1 half life
32 divide 2 =16-2nd half life
16 divide 2 = 8-3rd half life
8 divide 2 = 4-4th half life
4 divide 2 = 2-5th half life
This means we will have 2 grams left of the radioactive substance after 50 years.
What sentence represents this equation? 4 1/3=11−x
Answers
Answer:
4 1/3 is the same as 11 decreased by a number.
Step-by-step explanation:
There are 100 students in the sixth grade. The ratio of boys to girls is 2:3. How many more girls than boys are in the sixth grade?
Answers
Answer: I Think you will make 100 time 2 divide 3
Step-by-step explanation:
i'm not sure, have a nice day
how many would juile see?
Answers
Answer:
12Step-by-step explanation:
4*4*__=48
16*__=48
48/16=3
3*4=12
Answer:
12 boxes on the right side
Step-by-step explanation:
4 going across and 3 rows so 12 boxes
48 divided by 3 is 16 but divided by 4 is 12
since there are 16 boxes at the top its a good inference that there's
only 3 flat rows meaning per every flat there would be 4 boxes and 3 rows
there would be 12 boxes on the right side.