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).
If you want to learn more about polynomials:
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Related Questions
scale drawings
the scale drawing car length
is 3.5 cm. if the scale is
1 cm:4.5 ft, what is the actual car
stion length?
length?
Answers
Answer:
13•5ft
Step-by-step explanation:
1cm = 4.5ft
3cm = x
cross multiply
x= 3×4•5
:- x = 13•5ft
Each hour, the number of bacteria in Dr. Nall’s petri dish tripled. What percent is the population compared to the population the hour before?
3%
Answers
9%
I need 20 letters so I'm just typing this but it is 9%
calculate the magnitude of the angle ABC from the breeze data
Answers
Answer:
∠ ABC = 67°
Step-by-step explanation:
the angle between a tangent and a chord is equal to the angle in the opposite segment, that is
∠ ABC = ∠EAC = 67°
Simplify: √(x^2-6x+9) if x<3
Answers
Options :
(24 - n ) - 6
(25 - n) + 6
25 + 4x
25 - (6 + n)
Answers
Answer: 25 - (6 + n)
Explanation:The number 25 is decreased by and sum of number.
The numbers are 6 and n, Their Sum = (6 + n)
When 25 is decreased by this sum of numbers
25 - (6 + n)Answer:
25 - (6+n)
Step-by-step explanation:
Important terms:
Decreased means to go down which represents subtraction Sum means the total amount which represents additionLet "a number" = nFinding the answer
We want to find a word phrase that matches the expression, 25 decreased by the sum of 6 and a number.
Using the terms we just defined we know that the sum of 6 and a number would be 6 + n. ( as again sum = addition or total amount of )
25 is being decreased by the sum of 6 and n so in other words the sum of 6 + n is being subtracted by 25 which would result us in getting 25 - (6+n)
Why the "6+n" must be in parenthesis
The 6 + n must be in the parenthesis because the individual sum of those two numbers is being subtracted from 25.
The price of a train ticket from Kansas City to Lexington is normally $110.00. However, the train company is offering a special 25% discount to children under 16. What is the sale price of a ticket from Kansas City to Lexington for someone under the age of 16?
Answers
Answer:
$82.50
Step-by-step explanation:
25% of $110.00 is $27.5, which means 110.0 - 27.5 is equal to = 82.50.
Answer:82.50
Step-by-step explanation:
wat is 2+2? im doing this to give you an extra 2 points!
Answers
Answer:
oh oh....I know...it's 4....I'm I right
Answer:
4
Step-by-step explanation:
Thanks btw
Let's pretend the [] are boxes.
[] this is one box.
[] [] these are 2 boxes, which is 2
if you put 2 plus 2,
[] [] + [] []
count them, you get 4
Hooray!
If you dunno how to count, you just see each of the boxes, then count up
1, 2, 3, 4, 5, 6, 7, 8, 9, 10 and so on. when you stop seeing the boxes, stop counting - the number you're on is the answer to your + question!
A car has an average speed of 45 miles per hour. how long will it take to travel 360 miles? which equation and decimal form are represented by the visual model?
Answers
Answer:
It would take 8 hours to drive 360 miles.
Step-by-step explanation:
360/45=8
D=R*T
Prove: An odd number squared is an odd number. = (2n + 1)2
Answers
Answer:
[tex] {(2n + 1)}^{2} = 4 {n}^{2} + 4n + 1 = 2(2 {n}^{2} + 2n) + 1[/tex]
How many graduates from university a had an income under 20,000
Answers
Kindly help me solve this questions
a) 3/X+2-2=1/1/2
b) 3(4-7x)/5-0.7=x-6/2
Answers
Answer:
a) x=6
b) x= 498/463
hope this helps!!
Urgent Please Help!!!!
What percentage of scores lie in the shaded region? Use the empirical rule to find your answer.
Answers
Answer:
81.5%
Step-by-step explanation:
What are “holes” in algebra 2?
Answers
Answer:
Step-by-step explanation:
A hole exists on the graph of a rational function at any input value that causes both the numerator and denominator of the function to be equal to zero.
Would somebody be willing to help me please! I really need to pass this lesson!!
Answers
Answer:
x= -2 y= 36 (-2. 36)
x = -1 y = 6 (-1, 6)
x = 1 y = [tex]\frac{1}{6}[/tex] (1, [tex]\frac{1}{6}[/tex])
Step-by-step explanation:
Our function is [tex]y = (\frac{1}{6})^x[/tex]
all we need to do is fill in our x (given in the table) to solve for y
[tex]y = (\frac{1}{6})^{-2}[/tex]
[tex]y = 36[/tex]
[tex]y = (\frac{1}{6})^{-1}[/tex]
[tex]y = 6[/tex]
[tex]y = (\frac{1}{6})^1 = \frac{1}{6}[/tex]
Find the slope of the line that goes through the given points! A(2,8) and B(4,6)
(WHOEVER ANSWERS FIRST AND CORRECTLY WILL BE BRAINLIEST!!!)
Answers
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]
Find the slope of the line that goes through (2, 8) and (4, 6)
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]
The slope formula will help us find the slope, Here it is:-
[tex]\Large\text{$\displaystyle\frac{y_2-y_1}{x_2-x_1}$}[/tex]
Now, replace y2 with 6, y1 with 8, x2 with 4, and x1 with 2:-
[tex]\Large\text{$\displaystyle\frac{6-8}{4-2}$}[/tex]
Simplifying,
[tex]\Large\text{$\displaystyle\frac{-2}{2}$}[/tex]
Simplifying further,
[tex]\hookrightarrow\underline{\boxed{\sf{Slope=-1}}}[/tex]
Good luck with your studies.#TogetherWeGoFar
[tex]\rule{300}{1}[/tex]
Answer:
[tex]\sf \boxed{-1} \ \ is \ the \ slope[/tex]
Explanation:
[tex]\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]
Here given points: A(2,8) and B(4,6)
Find slope (m):
[tex]\sf \rightarrow \dfrac{6-8}{4-2}[/tex]
simplify
[tex]\sf \rightarrow -1[/tex]
AdditionalTo find equation:
[tex]\sf y-y_1 = m(x-x_1)[/tex]
[tex]\rightarrow y-8 = -1(x-2)[/tex]
[tex]\rightarrow y = -x+2+8[/tex]
[tex]\rightarrow y = -x+10[/tex]
5b2 square value of b is 4
Answers
Answer:
80
Step-by-step explanation:
5b^2
b equals to 4=5(4^2)
=5(16)
=80
Step-by-Step Explanation:
= 5b^2; (b = 4)
On substituting value of ‘b’,
= 5 * (4^2)
= 5 * (4 * 4)
= 5 * (16)
= 80
Some paint is made by mixing 2 cans of white paint for every 5 cans of red
paint. To make the same tint, how many cans of white paint would you need if
you used 13 cans of red paint? Explain how you solved the problem.
Answers
Explanation in the photo
CAN SOMEONE HELP ME PLEASE?
Answers
Answer:
values
x=17
AT = 49 units
OG = 21 units
HELPPPPPPP! DUE TOMORROW
Answers
Answer:
Angle 1 = 63.3
Angle 2 = 37.3
Angle 3 = 63.3
Angle 4 = 142.7
Step-by-step explanation:
When a line intersects two parallel lines the interior angles are equal. So angle 2 = 37.3
Angle 3 = 180 - (79.4 + 37.3) = 63.3 since the sum of the angles on a straight line must be 180
Ange 1 = Angle 3 = 63.3
Angle 4 = 180-37.3 = 142.7
Does anybody know this? Find the circumference of a circle if the diameter is 8 meters do not round your answer use 3.14 for pi
Answers
C equals pi D
Circumference equals 3.14×8
Answer:
The circumference of the circle is 25.12 meters
Step-by-step explanation:
By definition, the circumference of a circle is the perimeter or the length around the circle.
To find the circumference of a circle, all we need to do is multiply the radius by pi and 2. Giving us the equation :
C = 2 * pi * r
We are also given that the diameter of the circle is 8 meters. With this, we can cut it in half to get the radius. 8 / 2 = 4
Now, we plug in our values:
2 * 3.14 * 4
When we evaluate this, we get the answer to be : 25.12
The circumference of the circle is 25.12 meters
Extra references for the definitions of radius and circumference.
The radius is the length from the center of the circle, to the outside (perimeter aka circumference point) of it. The diameter is the length across one end of the circle, to the other end, crossing through the center point.
A city Science High School uses standardized IQ test to screen students for admission. It is known that the population standard deviation of these IQ scores is 15. The school principal claimed that the average IQ of the students in their school is 110. Miss Cruz, a researcher, wants to validate the claim. She selected a random sample of 50 students and administered the IQ test. She found that the mean IQ of the sample is 105. Perform a test of hypothesis at 0.05 level of significance.
Answers
Using the z-distribution, it is found that we reject the null hypothesis, which means that her claim is not validated.
What are the hypotheses tested?At the null hypotheses, it is tested if the mean is of 110, that is:
[tex]H_0: \mu = 110[/tex].
At the alternative hypotheses, it is tested if the mean is less than 110, that is:
[tex]H_1: \mu < 110[/tex].
What is the test statistic?The test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.[tex]\sigma[/tex] is the standard deviation of the population.n is the sample size.In this problem, we have that the parameters are given as follows:
[tex]\overline{x} = 105, \mu = 110, \sigma = 15, n = 50[/tex]
Hence the test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{105 - 110}{\frac{15}{\sqrt{50}}}[/tex]
z = -2.36.
What is the decision?Using a z-distribution calculator, z = -2.36 has a p-value that is less than the standard significance level of 0.05, hence we reject the null hypothesis, which means that her claim is not validated.
More can be learned about the z-distribution at https://brainly.com/question/16313918
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Divide 15/18 by 6 any answers??
Answers
= 15/16 ÷ 6/1
Changing the sign(÷) to multiplication (×), you get the reciprocal of 6/1
= 15/16 × 1/6
= 15/96
= 5/32
= 0.15625
Answer:
[tex] \frac{5}{36} [/tex]
Step-by-step explanation:
[tex] \frac{15}{18} \div 6 \\ = \frac{15}{18} \times \frac{1}{6} = \frac{5}{18\times 2} = \frac{5}{36} [/tex]
a song has 12 beat in 5 second . how many beats are in 30 seconds
Answers
Colin's family started driving to Grandma´s house at 8:00 am. The family arrived at 11:30. How long did it take to drive to Grandma´s house? use the number line to solve the problem. (pls help)
Answers
Answer:
3 hrs 30 min
Step-by-step explanation:
Non-Liner System of Equations:
I created two systems of equations (one being linear one being quadratic) and need to solve them algebraically with work shown.
pls help
f(x) = 3x + 5
f(x) 3x^2 + 5
Answers
Answer: x=1, x=0
Step-by-step explanation:
A store owner puts in an order for product x and product y for a total of 4,000 units. it costs $0.10 per item to ship of product x and $0.04 per item to ship product y. if the total shipping cost is $352, which system of equations can be used to determine how much of product x and product y the store owner bought? startlayout enlarged left-brace 1st row x y = 4,000 2nd row 10 x 4 y = 352 endlayout startlayout enlarged left-brace 1st row 10 x 4 y = 4,000 2nd row x y = 352 endlayout startlayout enlarged left-brace 1st row x y = 4,000 2ndrow 0.1 x 0.04 y = 352 endlayout startlayout enlarged left-brace 1st row 0.1 x 0.04 y = 4,000 2nd row x y = 352 endlayout
Answers
The system of equations can be used to determine how much of product x and product y the store owner bought is x + y = 4,000
0.10x + 0.04y = 352
Simultaneous equationproduct xProduct yTotal units of x and y = 4,000 unitsCost of shipping each product x = $0.10Cost of shipping each product y = $0.04Total cost of shipping = $352The equation:
x + y = 4,000
0.10x + 0.04y = 352
Therefore, the system of equations can be used to determine how much of product x and product y the store owner bought is x + y = 4,000
0.10x + 0.04y = 352
Learn more about simultaneous equation:
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Answer:
C
Step-by-step explanation:
HELLPP!
Change 17/34 into a percent. Show your work.
Answers
Answer:
50%
Step-by-step explanation:
[tex] \frac{17}{34} = \frac{1}{2} = 50\%[/tex]
Marsha sold 78 boxes of cookies. 51 boxes
were chocolate mint cookies. Of the remainder
sold, 1/3 were peanut butter crunchies. How many
boxes of peanut butter crunchies did Marsha sell?
Answers
Answer: 9
Step-by-step explanation:
78 subtract 51 is 27. One third of 27 is 9.
If m<1 = 40 degrees , what is m<2 m<3 and m<5
Answers
Answer & step-by-step explanation:
Corresponding Angles: m∠1 = m∠5; m∠2 = m∠6;
m∠3 = m∠7; m∠4 = m∠8
Alternate Interior Angles: m∠3 = m∠6; m∠4 = m∠5
Alternate Exterior Angles: m∠1 = m∠8; m∠2 = m∠7
As you can see on the picture below:
A bag contains 5 blue marbles and 3 yellow marbles. You randomly select two marbles from the bag. What is the probability that both marbles are blue when you replace each marble before selecting the next marble? Write your answer as a decimal rounded to three decimal places.
Answers
Answer:
0.625
Step-by-step explanation:
5/8 because there are 5 blue marbles and there are 3 yellow marbles. If you add them it equals 8.
The probability is 5/8.
If you do 5 divided by 8 it gives you 0.625.
Honestly i don't know what you mean by "rounded to three decimal places."
Sorry if it's not really healpful.