Answers
By finding the roots of the polynomial, we conclude that the correct graph is the second one.
Which is the graph of the polynomial?
Here we have the polynomial:
[tex]f(x) = x^3 + x^2 - 2x[/tex]
To identify it, we need to find the roots, we can rewrite the equation as:
[tex]f(x) = x*(x^2 + x - 2)[/tex]
And we can rewrite the last part by using the Bhaskara's formula:
[tex]x = \frac{-1 \pm \sqrt{1^2 + 4*2} }{2} \\\\x = (-1 \pm 3)/2[/tex]
Then the roots are:
x = -2
x = 1
Then we rewrite:
[tex]f(x) = x*(x + 2)*(x - 1)[/tex]
So the roots are at x = 0, x = -2, and x = 1.
The graph with these roots is the second graph (top right).
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Related Questions
find the area of this triangle. round to the nearest tenth. 17 m, 15 m, and 35 degrees
Answers
area of triangle
= 1/2 b*h
=1/2 17*15
=8.5*15
=127.5m²
650 times what decimal gives me 3185?
Answers
Answer:
The decimal is 4.9
Select the correct answer from each drop-down menu.
Three students used factoring to solve a quadratic equation.
x²+17x+72=12.
Jordan's Solution x² + 17x + 72 = 12, (x + 8)(x + 9)= 12, x+8=12 & x+9=12
Keith's Solution x² + 17x + 72 =12, x² + 17x +60 =0, (x +5)(x +12) =0 x + 5 = 0 & x + 12 =0.
Randall's Solution x² +17x +72 = 12,x2 +17x = -60,x(x +17) = -60, -60 & x +17 = -60.
he equation was solved correctly by ____. The solutions of the equation are____.
Answers
Answer:
Keith's Solution-5-12Step-by-step explanation:
x + 5 =0 & x + 12 =0
:- x = -5 & -12
Calculate each probability, given that P(A) = 0.5, P(B) = 0.4 and P(A and B) = 0.1.
P(A | B). Show work!!
Answers
Answer:
P(A|B) =0.25
Step-by-step explanation:
P(A|B) = P(A and B) / P(B) = 0.1/0.4 =0.25
Can somebody please help me?
Answers
Answer:
1 23/36
Step-by-step explanation:
hope this helped
Please answer fast i really need this so i can get good grades.
Answers
We can use division to solve real-life problems, such as: We can use division to solve real-life problems, such as:
Answers
Answer:
we can use division to solve real life problem such as: how much candy each of 5 students will receive if 20 candy are shared equally
Step-by-step explanation:
cause 20/5 = 4
Which set of numbers cannot represent the lengths of the sides of a triangle?
A.
7, 5, 6
B.
9, 12, 19
C.
6, 8, 11
D.
7, 18, 11
Answers
36% of a students of a class where 50 is the total got above 80 marks for a test.
a) How many students obtain more than 80 marks
b) What is the percentage of students got below 80 marks
Answers
Answer:
Below in bold.
Step-by-step explanation:
a) 36 % of 50
= 50 * 0.36
= 18 students got above 80 marks.
b) 100 - 36
= 64% got below 80.
c)
50 - 18 = 32 students got below 80.
I need help solving this
Answers
Answer:
50° and 40°
Step-by-step explanation:
complementary angles sum to 90°
80% = [tex]\frac{80}{100}[/tex] = 0.8
let the 2 angles be x and 0.8x , then
x + 0.8x = 90
1.8x = 90 ( divide both sides by 1.8 )
x = 50
0.8x = 0.8 × 50 = 40
the 2 angles are 50° and 40°
sorry last question please awnser
Answers
Answer:
T': (9,8)
U': (0,8)
V': (8,4)
Step-by-step explanation:
For the exact binomial test, we are using the binomial distribution assuming ____________________ to compute the probability of observing the equal number of successes or more extreme number of successes.
Answers
Answer:
The proportion defined by the null hypothesis.
Step-by-step explanation:
22. Solve using the principles together. Check your answer.
Answers
5x - 3 = 11 + 12x
---Subtract 5x from both sides
-3 = 11 + 7x
---Subtract 11 from both sides
-14 = 7x
---Divide both sides by 7 to leave x by itself
x = -2
Answer: x = -2
Answer Choice: A, -2
Hope this helps!
Answer:
A. The solution is x =-2.
Step-by-step explanation:
Given :
5x - 3 = 11 + 12xSubtract 11 from each side.
5x - 3 - 11 = 11 + 12x - 115x - 14 = 12xSubtract 5x from each side.
5x - 14 - 5x = 12x - 5x7x = -14x = -2A. The solution is x =-2.
Mason is slicing butter for the meal he is preparing describes the vertical cross-section when the knife slices to the butter parallel to its sides?
Answers
The vertical cross-section when the knife slices to the butter parallel to its sides is a rectangle with dimensions of 5 in by 2.5 in or 3 in by 2.5 in.
What is a three dimensional figure?A three dimensional figure is a polygon with length, width and height. Examples are cone, cylinder, prism, pyramid and so on.
The shape of the butter is rectangular prism. The vertical cross-section when the knife slices to the butter parallel to its sides is a rectangle with dimensions of 5 in by 2.5 in or 3 in by 2.5 in.
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Answer:
the answer for this question is 3 in 2.5 inches or 5 in 2.5 inches
Step-by-step explanation:
Write an equation for a line parallel to the line y=1/3x - 4 through (-3, 2)
Answers
keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above
[tex]y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{3}}x-4\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
so we're really looking for the equation of a line whose slope is 1/3 and passes through (-3 , 2)
[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{2})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{\cfrac{1}{3}}(x-\stackrel{x_1}{(-3)}) \\\\\\ y-2=\cfrac{1}{3}(x+3)\implies y-2=\cfrac{1}{3}x+1\implies y=\cfrac{1}{3}x+3[/tex]
A triangle has sides with lengths of 8 kilometers, 11 kilometers, and 12 kilometers. Is it a
right triangle?
yes
no
Answers
The angles equal 76.592, 40.415, 63.056. Use Law of Cosines to find angles.
Please look at the picture for the explanation. :)
What is a fraction that is equal to 5?
Answers
Answer:
5/1 or 10/2
5/1 = 5
10/2 = 5
25) Ted spent $25 on a shirt and $89 on a pair of shoes. Ted had $40 left in his wallet. How much money did Ted have before he spent money
on a shirt and shoes?
A) $114
B) $144
C) $154
D) $164
Answers
In the following question solve for X please help!
Answers
Answer:
x = 6
Step-by-step explanation:
Taking the sides in proportion :
EB/DC = AB/AC8/24 = -3 + 2x/271/3 = -3 + 2x/273(-3 + 2x) = 27-9 + 6x = 276x = 36x = 6Step-by-step explanation:
If you have any question about the sollution, ask me
The stemplot below displays the times, in seconds, for 25 students to run 100 meters.
A stemplot titled 100 meter times (seconds) has values 22, 23, 23, 24, 24, 24, 25, 25, 25, 25, 26, 26, 26, 26, 26, 27, 27, 27, 28, 28, 28, 28, 29, 29, 30.
Are there any outliers?
No, there are no outliers.
Yes, 22 is an outlier.
Yes, 30 is an outlier.
Yes, 22 and 30 are outliers.
Answers
Since there is no value that is far removed from all others thus we can say that there are no outliers in the data set.
What is an outlier?In the process of statistical observation, an outlier is any value that lies too far away from other values in the data set.
If we look at the data set as shown, there is no value that is far removed from all others thus we can say that there are no outliers in the data set.
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Question 10 of 10
Find the area of the figure.
5 m
2 m
9 m
O A. 27 m2
O B. 54 m2
O C. 45 m2
O D. 36 m2
Answers
Answer:
45 m2
Step-by-step explanation:
It was the only reasonable answer lol
9x5=45
a monkey is trying to climb a coconut tree. he takes 3 steps forward and slips back 2 steps downwards. each step is 30 cm and each backward step is 40cm. how many steps are required to climb a 100cm tree? Thank you!
Answers
3x30=90
2x40=80
so
90cm up
80cm back
10cm gain
5 steps per gain
10 gains to gain 100cm
5 steps x 10 gains = 50 steps
7
i need help!!
math geniuses pls help me!
please help!!!!
——-
———
Answers
Answer:
1 sick chick FIL a have to be there by the time
Answer:
B is the correct choice.
Explanation:
r = 4sin∅, a = 4, R = 2
[tex]\begin{tabular}{c | l}\theta & r \\ \cline{1-2}\pi /6 & 2\\\pi /3 & 2\sqrt{3}\\\pi /2 & 4\\2\pi /3 & 2\sqrt{3} \\5\pi /6 & 2\\\pi & 0\end{tabular}[/tex]
Plot these points.
The function[tex]f(x)=-11sin (\frac{7}{3}x+\frac{1}{6}) - 2[/tex] models the average rate of change in temperature of a substance monitored in an experiment. In the function, x represents the number of minutes since the commencement of the experiment and the temperature of the substance is measured in degrees Fahrenheit.
Over what range of temperatures does the average rate of change in temperature fall?
Answers
Range of temperatures does the average rate of change in temperature fall -13F and 9 F
What is formula for Fahrenheit?The Fahrenheit temperature scale is used in the United States; the Celsius, or centigrade, scale is employed in most other countries and for scientific purposes worldwide. The conversion formula for a temperature that is expressed on the Celsius (°C) scale to its Fahrenheit (°F) representation is: °F = (9/5 × °C) + 32.
Given function:
f(x)= -11 sin(7/3 x+ 1/6) -2
The function will be maximum at
7/3 x +1/6= 3π/2
So, the maximum temperature will be
= -11 sin (3π/2) -2
= 11 -2
=9 F
The function will be minimum at
7/3 x +1/6= π/2
So, the maximum temperature will be
= -11 sin (π/2) -2
= -11 -2
= -13 F
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If the diameter of a circle is 14 cm then find its 22 circumference.
Answers
Answer:
44cm
Step-by-step explanation:
Since, diameter d=14cm
C=πd= 22/7 ×14= 44cm
1. Using the minimum, maximum, quartiles and median, sketch two side-by-side box plots to compare the haircut costs between males and females in this student's school.
Answers
The information about the mean and median shows that the females have more number of haircuts than the males.
What is a mean?It should be noted that a mean simply means the average of a set of numbers that are given in a data.
In this case, the information about the mean and median shows that the females have more number of haircuts than the males.
This is depicted since the mean of females is 52.53 and the mean of males is 20.13.
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I have four marble, One red,Oneblue,OneGreen,Oneyellos.Without replacing the first marble, you choose a second marble. What is the probalility of choosing red and then green?
Answers
Answer:
1/8 or 12.5 percent
Step-by-step explanation:
So You first draw the red marble you have a 25 percent chance of that or 1/4 then you draw a green so just add 4 to the denominator!
Hope this helps!
The wind force f on a sail varies jointly as the area a of the sail and the square of the wind speed w.
the force on a sail with area an area of 500 ft2 is 64. 8 pounds when the wind speed is 18 mph. what
would be the force for a sail with an area of 250 ft? with a wind speed of 35 mph.
how would you solve this problem? what would your answer be?
response:
Answers
Answer:
122.5 lbs
Step-by-step explanation:
The relation between force, wind speed, and area can be written ...
f = ks²a
for some wind speed s and area a.
__
The constant of proportionality, k, can be found from the given data.
64.8 = k(18²)(500) . . . force in pounds, area in square feet, speed in mph
k = 64.8/(324×500) = 0.0004
__
Using the equation with the second set of data, we have ...
f = 0.0004(35²)(250) = 122.5 . . . . pounds
The force on the 250 square foot sail would be 122.5 pounds.
Please help asap a spinner with 4 sections is spun 30 times. based on these results, what is the experimental probability that the next time the spinner is spun, it lands on yellow?
a. 4/15
b. 1/5
c. 7/30
d. 3/10
Answers
The experimental probability that the next time the spinner is spun, it lands on yellow is 4/15
How to determine the experimental probability?From the table of values, we have:
Yellow = 8
Total = 30
The experimental probability is then calculated using:
P(Yellow) = Yellow/Total
This gives
P(Yellow) = 8/30
Simplify
P(Yellow) = 4/15
Hence, the experimental probability is 4/15
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Chase goes to a restaurant and the subtotal on the
bill was a dollars. A tax of 7% is applied to the bill.
Chase decides to leave a tip of 15% on the entire bill
(including the tax). Write an expression in terms of x
that represents the total amount that Chase paid.
Answers
x is the total amount paid
y is the subtotal before tax
1.07 is the 7% tax imposed
1.15 is the 15% tip
