find the zeros of each function. State the multiplicity of multiple zeros y=2x^3+x^2-x
Answers
Answer:
Step-by-step explanation:
To find the roots/zeros, set
2
x
3
+
x
2
−
x
equal to
0
and solve.
2
x
3
+
x
2
−
x
=
0
Factor the left side of the equation.
Tap for more steps...
x
(
2
x
−
1
)
(
x
+
1
)
=
0
If any individual factor on the left side of the equation is equal to
0
, the entire expression will be equal to
0
.
x
=
0
2
x
−
1
=
0
x
+
1
=
0
Set the first factor equal to
0
.
x
=
0
Set the next factor equal to
0
and solve.
Tap for more steps...
x
=
1
2
Set the next factor equal to
0
and solve.
Tap for more steps...
x
=
−
1
The final solution is all the values that make
x
(
2
x
−
1
)
(
x
+
1
)
=
0
true. The multiplicity of a root is the number of times the root appears.
x
=
0
(Multiplicity of
1
)
x
=
1
2
(Multiplicity of
1
)
x
=
−
1
(Multiplicity of
1
)
Answer:
-1, 0, 1/2
Step-by-step explanation:
The function can be factored as ...
y = x(2x^2 +x -1)
y = x(2x -1)(x +1)
The factors are unique, so each zero has multiplicity 1. The zeros are the values of x that make the factors zero:
-1, 0, 1/2 . . . . zeros of the function; each with multiplicity 1
Related Questions
Find the area of each figure
Answers
Answer:
18
Step-by-step explanation:
6*6/2
the graph of linear function g is shown on the grid
what is the zero of g
-6
-9
0
-5
Answers
Answer:
Option A, - 6
Step-by-step explanation:
The zero of a function is the value on the x-axis when y is 0
Answer:
the answer is -9
Step-by-step explanation:
the answer is -9 becaise
Find the area between f(x) = 3x and f(x) = x2 on the interval (0,3]
Answers
Answer:
[tex]A=4.5[/tex]
Step-by-step explanation:
The area between two curves over the interval [tex][a,b][/tex] is [tex]A=\int\limits^b_a {f(x)-g(x)} \, dx[/tex] where [tex]f(x)[/tex] is the upper function and [tex]g(x)[/tex] is the lower function.
Therefore:
[tex]A=\int\limits^3_0 {3x-x^2} \, dx[/tex]
[tex]A=\frac{3}{2}x^2-\frac{x^3}{3}\Big|_0^3[/tex]
[tex]A=[\frac{3}{2}(3)^2-\frac{(3)^3}{3}]-[\frac{3}{2}(0)^2-\frac{(0)^3}{3}][/tex]
[tex]A=\frac{3}{2}(9)-\frac{27}{3}[/tex]
[tex]A=\frac{27}{2}-\frac{27}{3}[/tex]
[tex]A=\frac{9}{2}[/tex]
[tex]A=4.5[/tex]
So, the area between [tex]f(x)=3x[/tex] and [tex]g(x)=x^2[/tex] on the interval [tex](0,3][/tex] is [tex]4.5[/tex] square units.
Take the greatest possible factor out of the square root.
Square root of 80
Answers
Answer:
4.
Step-by-step explanation:
The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80. Furthermore, the greatest perfect square on this list is 16 and the square root of 16 is 4.
The greatest factor of 80 is
We have to determine, the greatest possible factor out of the square root of 80.
According to the question
The square root of the greatest perfect square from the list of all factors of 80.
The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80.
The greatest perfect square on this list is 16 and the square root of 16 is 4.
To determine the greatest square root of 80 following all the steps given below.
The square root of 80,
[tex]\rm = \sqrt{80} \\\\= \sqrt{2\times 2\times 2 \times 2\times 2\times 5} \\\\= 2 \times 2\times \sqrt{5} \\\\= 4\sqrt{5}[/tex]
Hence, The greatest factor of 80 is 4.
For more details refer to the link given below.
https://brainly.com/question/20354909
Kelsey went to the donut shop before work. The ratio of chocolate donuts to sprinkled donuts that she bought is 3 to 4. If Kelsey bought a total of 21 donuts, how many of the donuts were sprinkled
Answers
Answer:
she'd have 16 sprinkled donuts
PLEASE HELP ME (third times the charm)!!!!!!!
Answers
Answer:
the first option i think
Please help! If you do tysm!!
Answers
Answer:
32 days
Step-by-step explanation:
5 divided by 2 is 2.5, which means 2.5 gallons will leak per day. 80 divided by 2.5 is 32 which means it will take 32 days for the bucket to completely leak out.
hope that's right <3
what is .9 repeating as a fraction
Answers
There is no answer to this because:
Any digit repeating like that would usually be ?/9
Example: 0.1 repeating = 1/9
0.2 repeating = 2/9
0.8 repeating = 8/9
But 0.9 repeating? There should not be a fraction for that.
If you want to round up to 1, you can.
ok sooo um another post again hahahaha
but anyways, to the question.
Explain the meaning of the inequality statement in terms of distance from a starting point in a real world setting.
20.2 miles > 17.6 miles
Answers
Answer:
Enter a value for a so that the system of equations shown has infinitely many solutions.
y = −5x + 9y = ax + 9
Step-by-step explanation:
Which of the following is a square root of -18 ?
Answers
Answer:
It should be [tex]3\sqrt{2} i[/tex]
Step-by-step explanation:
Answer:
4.242.....
Step-by-step explanation:
Hope this helped!
Ricardo changed $600 into pounds when the exchange rate was $1 = 0.60 pounds
He later changed all the pounds back into dollars when the exchange rate was $1 = 0.72 pounds
How many dollars did he receive ??
Answers
600 x 0.60 = 360 pounds
360 /0.72 = 500
He got $500
Find the m, b, and write the equation for the following graph:
Answers
Answer:
y = 3, m=0, b=3
Step-by-step explanation:
Hi there! If you look at the graph, we have a horizontal like crossing through y=3. your m value will be 0 as there is no slope. For your b value, it will be 3 as the y-intercept is 3.
I hope this helps!
Jameson Middle School gives bottles of water to teachers and students who are going on a field trip. The school orders 500 bottles of water. They plan to give 35 bottles of water to teachers. They ordered at least 2 bottles of water for each student. How many students could be going on the field trip? Show your work.
Answers
Answer:
up to 232
Step-by-step explanation:
Let x = number of students
The number of bottles for the students is 2x since they give 2 bottles per student.
2x + 35 = 500
2x = 465
x = 232.5
Answer: 232
I need help ASAP …………….
Answers
Answer:
for me the answer is y=0.17x+2
not sure
correct me if im wrong
love ya
Step-by-step explanation:
#brainly
Please help me with this math problem!! I will give brainliest!! NO LINKS PLEASE!! :)
Answers
Answer:
(-4, 0)
Step-by-step explanation:
The midpoint M of segment AB is found by averaging the coordinates of the end points:
M = (A +B)/2
Solving this for point B, we find ...
2M = A +B
2M -A = B
Then the other end point is ...
2(2, -4) -(8, -8) = (4 -8, -8 -(-8)) = (-4, 0)
The other end point is (-4, 0).
If the population of Centertown is currently 4,600 and it grows by 200 people each year, when will the population double?
Answers
After 23 years
hope this is helpful!
HELP!! Scaler multiplication of vectors in component form
Answers
Answers:
<-6,8> <-3,3> <12,12> <21,4> <18,22> <17,30> <-36,-38> <16,20>===========================================================
Work Shown:
Problem 1
u = <-3,4>
2u = 2*<-3,4>
2u = <2(-3), 2(4)>
2u = <-6,8>
Effectively, we multiplied each coordinate by 2.
-----------------
Problem 2
g = <-1,1>
3g = 3*<-1,1>
3g = <3(-1),3(1)>
3g = <-3,3>
Same idea as problem 1, but we tripled each coordinate.
-----------------
Problem 3
z = <-3,-3>
-4z = -4*<-3,-3>
-4z = <-4(-3),-4(-3)>
-4z = <12,12>
-----------------
Problem 4
v = <6,8>
2v = <12,16> .... double both coordinates
u = <-3,4>
3u = <-9,12> .... triple both coordinates
2v-3u = <12,16>-<-9,12>
2v-3u = <12-(-9),16-12>
2v-3u = <12+9,16-12>
2v-3u = <21,4>
I subtracted the corresponding coordinates.
The general rule is <a,b>-<c,d> = <a-c,b-d>
-----------------
Problem 5
y = <1,1>
6y = <6,6> .... multiply each coordinate by 6
v = <6,8>
2v = <12,16>
6y+2v = <6,6>+<12,16> = <6+12,6+16> = <18,22>
This time we add the corresponding coordinates after scaling up the given vectors.
The general rule is <a,b>+<c,d> = <a+c,b+d>
-----------------
Problem 6
u = <-3,4>
v = <6,8>
3v = <18,24>
y = <1,1>
2y = <2,2>
u+3v+2y = <-3,4>+<18,24>+<2,2>
u+3v+2y = <-3+18+2,4+24+2>
u+3v+2y = <17,30>
-----------------
Problem 7
g = <-1,1>
4g = <-4,4>
y = <1,1>
A = 4g+y = <-4,4>+<1,1> = <-4+1,4+1> = <-3,5>
z = <-3,-3>
v = <6,8>
5v = <30,40>
B = z-5v = <-3,-3> - <30,40> = <-3-30,-3-40> = <-33,-43>
A+B = <-3,5>+<-33,-43> = <-36,-38>
-----------------
Problem 8
u = <-3,4>
v = <6,8>
2v = <12,16>
A = u+2v = <-3,4>+<12,16> = <-3+12,4+16> = <9,20>
w = <8,-1>
g = <-1,1>
B = w+g = <8,-1>+<-1,1> = <8+(-1),-1+1> = <7,0>
A+B = <9,20>+<7,0> = <9+7,20+0> = <16,20>
How do you write an equation of a line given y-intercept -8 and slope 3/4
Answers
Answer:
[tex]y = \frac{3}{4} x-8[/tex]
Step-by-step explanation:
You can us the equation y = m x + c to answer this question.
In ,
y = m x + c
m = slope
c = y - intercept
So, they have already given in the question that,
m = 3/4
c = (-8)
Therefore, you can simply put 3/4 and (-8) instead of m and c respectively like this.
y = m x + c
y = 3/4x - 8
Hope this helps you.
Let me know if you have any other questions :-)
Solve for a
1/12 a +21 = 25
Answers
Hope This Helped!
Step-by-step explanation:
First off we need to take the whole equation and multiply it so that we can get rid of the fractioned exponent. The number we would use is 12, giving us the new equation: a + 252 = 300. We then can subtract 252 from both sides of the equation, to get the exponent by itself and intentionally create an answer. This would be: a + 252 = 300,-252=48 or a = 48
We are left with A being equal to 48.
[tex]\dfrac 1{12} \cdot a +21 = 25\\\\\\\implies \dfrac a{12} = 25-21\\\\\\\implies \dfrac a{12} =4 \\\\\\\implies a = (12)(4) = 48[/tex]
if the two coffee shops combine their supplies, how many stirrers will they have for tousday?
Answers
Answer:
50?
Step-by-step explanation:
it's 50 20+25i don't even know if this is the correct answee
find the ratio of : 800 ml to 4.8 litres
Answers
Answer:
The ratio is [tex]\frac{1}{6}[/tex]
Step-by-step explanation:
We have
[tex]\frac{800mL}{4.8L} \\\\\frac{0.8L}{4.8L}\\\\\frac{1}{6}[/tex]
in a class of 55 21 study physics 24 study geography and 23 study economics and physics. if x students study all three subjects and 2x study non of the subjects find
1 the value of x
2 the number of students that study only physics
3 number of students that study only 2 subjects
solve usind venn diagram
Answers
The total number of students who studied only two subjects is 13.
The given parameters:
Total number of students, n = 55 Number of physics students = 21Number of geography students = 24Number of economics students = 23Number of students for the 3 subjects, = xNumber of students who studied non = 2xThe number of students who studied only two subjects can be determined by applying overlapping three sets formula as shown below;
[tex]Total = n(phy) + n(geo) + n(econ) + n(none)- n(double) - 2(all \ subjects)\\\\55 = 21 + 24 + 23 + 2x-n(double) - 2(x)\\\\55 = 68- n(double)\\\\n(double) = 68-55\\\\n(double) = 13[/tex]
Thus, the total number of students who studied only two subjects is 13.
Learn more about overlapping three sets here: https://brainly.com/question/2041029
A. (7)
Write an equation of a line that is perpendicular to y = 2/3 X + 8 and has a y-intercept of
2.
Answer in slope-intercept form
B. and write the following equation in slope intercept form y + 21 = x - 15
Answers
How here we get 2 x 22 x 10
And how we multiply the formula of pi with any number
Answers
Answer:
The formula of pi is approximately 3.14 2×3.14
There is 1 man and 9 women running a race. What is the ratio of the number of female runners to the total number of runners?
Write your answer as a fraction. Use a slash ( / ) to separate the numerator and denominator.
Answers
Answer:
9/1
Step-by-step explanation:
For every 9 women, there is 1 man
The water level in a tank measures 15 inches and is decreasing 0.5 inches every
minute.
How many minutes, x, will it take for the water level to measure 9 inches deep?
Answers
Answer:
The answer is 12 minutes
Step-by-step explanation:
This is because if you're seeing how long it takes to get from 15 inches to 9 inches, that is a difference of 6 inches.
6 / 0.5 inches per minute = 12 minutes
The tank would take time of 12 minutes for the water level to measure 9 inches deep.
What is the two-step problem?A two-step problem is a word problem that must be addressed in two steps. While many of these questions have only one step, a two-step word problem requires the solution of two separate equations.
Two separate operations (like multiplication and addition) or two of the same operation may be utilized in the two-step word problem (like subtraction and subtraction).
Given a tank measurement of 15 inches, it shrinks by 0.5 inches per minute.
We must calculate the minute when the water level reaches 9 inches deep.
The difference in inches is 6 inches.
15 inches - 6 inches = 9 inches
Calculating for minutes,
⇒ 6 / 0.5
⇒ 12 minute
Therefore, the tank would take time of 12 minutes for the water level to measure 9 inches deep.
To learn more about the two-step problem click here :
brainly.com/question/26119747
#SPJ5
please help i need this rn!! ( please tell me how much boxes I color)
Answers
Which is a solution to the following system of inequalities?
A. (6,6)
B. (7,8)
C. (8,7)
D. (9,7)
Answers
Answer: the answer is D
Step-by-step explanation: - 2 *9 + 3* 7 = 3
-5 *9 + 6 * 7 = - 3
And 3>1
-3<1
Pls help pls help it’s my last question
Answers
Answer:
5
Step-by-step explanation:
Answer:
3 3/4
Step-by-step explanation:
Which equation has a solution of 34 for y?
Select all the correct answers.
A.8y=9
B.y−1=−14
C.4y=6
D.7−y=614
E.12y=9
F.214+y=4
Answers
Answer:
The answer is I don't know