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
How many problems of each point value are on the test? 10 problems worth 5 points and 25 problems worth 2 points 14 problems worth 5 points and 15 problems worth 2 points 16 problems worth 5 points and 13 problems worth 2 points 15 problems worth 5 points and 13 problems worth 2 points.
Answers
The question is an illustration of system of equations
There are 14 problems worth 5 points and 15 problems worth 2 points
The system of equations is given as:
[tex]x + y = 29[/tex]
[tex]5x + 2y = 100[/tex]
Make x the subject in [tex]x + y = 29[/tex]
[tex]x = 29 - y[/tex]
Substitute 29 - y for x in [tex]5x + 2y = 100[/tex]
[tex]5(29 - y) + 2y = 100[/tex]
Open brackets
[tex]145 - 5y + 2y = 100[/tex]
Evaluate like terms
[tex]145 - 3y = 100[/tex]
Collect like terms
[tex]- 3y = 100-145[/tex]
Evaluate like terms
[tex]- 3y = -45[/tex]
Divide both sides by -3
[tex]y = 15[/tex]
Substitute 15 for y in [tex]x = 29 - y[/tex]
[tex]x = 29 - 15[/tex]
[tex]x = 14[/tex]
This means that there are 14 problems worth 5 points and 15 problems worth 2 points
Read more about system of equations at:
https://brainly.com/question/14323743
Which functions are invertible? Select each correct answer. A coordinate graph with both horizontal and vertical axes ranging from negative 10 to 10 in increments of 2. A line is graphed with one end is in the first quadrant and the other end is in the third quadrant. The line passes through the x axis between 0 and negative 2 and it passes the y axis between 0 and 2. A coordinate graph with both x and y axes are ranging from negative 10 to 10 in increments of 2. A parabola is drawn facing down whose vertex is in the first quadrant and the parabola crosses the x axis at begin ordered pair 0 comma 0 end ordered pair and begin ordered pair 2 comma 0 end ordered pair. Parabola has arrows on both ends. An absolute value function graphed on a coordinate plane. The x and y axes range from negative 10 to 10 in increments of 2. The vertex is at begin ordered pair 0 comma negative 2 end ordered pair. The graph opens up and passes through begin ordered pair negative 2 comma 0 end ordered pair and begin ordered pair 2 comma 0 end ordered pair. Graph has arrows on both ends. Graph of a square root function on a coordinate plane. Both axes range from negative 10 to 10 in increments of 2. The curve begins at begin ordered pair 0 comma 0 end ordered pair. It increases from left to right and passes through begin ordered pair 4 comma 2 end ordered pair. Curve has an arrow on one end.
Answers
Using function concepts, it is found that:
Graph 1 (Left-top) is invertible.Graph 4(Bottom-right) is invertible.A function f(x) has an inverse if, and only if:
[tex]f(a) = f(b) \leftrightarrow a = b[/tex]
That is, each value of the output y is associated with only one value of the input x.In this problem:
In graphs 1(left-top) and 4(bottom-right), these conditions are respected, hence, they are invertible. In the parabola of graph 2(top-right), for example, y = 0 is associated with both x = 0 and x = 2, so it is not invertible.In the absolute value function is graph 3(bottom-left), for example, y = 0 is associated with both x = -2 and x = 2, so it is also not invertible.To learn more about the use of graphs to verify if a function is invertible, you can take a look at https://brainly.com/question/13160937
Plz answer bhhk f hi j
Answers
Answer:
its just rhombus and trapezoid i think.
Step-by-step explanation:
The perimeter of a rectangular piece of land is 280m. People divide the land into two small pieces: a square, a rectangle. The total perimeter of the two small plots is 390m. Calculate the area of the original piece of land.
Answers
Step-by-step explanation:
Length of the Rectangular piece of the land = 12 + 1/2 m = 25/2 m
Breadth of the Rectangular piece of the land = 5 + 1/5 m = 26/5 m
If 4 small square flower bed of side length 1 m are made at center.
To find: Area of the rectangular land , Perimeter of the rectangle and Area of land left when flower bed are mad.
Perimeter of the rectangle = 2 × ( length + breadth )
= 2 × ( 25/2 + 26/5 )
= 2 × ( 177/10 )
= 177/5 m
= 35.4 m
Area of the rectangular land = Length × Breadth
= 25/2 × 26/5
= 5 × 13
= 65 m²
Area of a flower bed = side × side = 1 × 1 = 1 m²
Area of 4 flower bed= 4 × 1 = 4 m²
Area left in the land = 65 - 4 = 61 m²
Therefore, Perimeter of the land is 35.4 m
Area of land is 65 m²
Area of the land left after flower beds is 61 m²
Given that f(x)=x-5 g(x)=5x and h(x)=-f(x+1)-3g(x-1), then what is the value of h(3)?
please show step by step answer.
Answers
Answer:
Step-by-step explanation:
f(x) = x - 5 and g(x) = 5x
- f(x + 1) = - ( x + 1 - 5 ) = 4 - x
- 3g(x - 1 ) = - 3 [ 5 (x - 1)] = 15 - 15x
h(x) = 4 - x + 15 - 15x = 19 - 16x
h(3) = 19 - 16(3) = - 29
I NEED ANSWER ASAP PLEASE I NEED ANSWER NOW ITS DUE IN 20 MINS
Answers
Can you please help me with this question.
Answers
Answer:
I have helped you on the other question you asked. It's the same question.
What is the area of 2.4
Answers
Roberto is a fan of the Los Angeles Angels baseball team. Since he works at night he only
goes to day games. Last year he attended all 16 home day games and saw his team win 11
and lose only 5 games, for a winning percentage of 68.8%. In their other games the team won
69 and lost 77, for a winning percentage of 47.3%.
Even though the p-value for a test
comparing these winning percentages is very small, explain how confounding prevents us
from concluding that Roberto’s attendance at those games is the cause of the Angels success
in those games.
Answers
Step-by-step explanation:
There are other factors than Roberto coming that could have affected the outcome of the game. For example, maybe the night games were against better teams to generate better ratings in prime time. Moreover, maybe the Angels do better at home due to home-field advantage. There are many factors such as these that could explain why Roberto witnessed such a high win rate at the games he went to, so it cannot be concluded that Roberto's attendance caused the Angels to win.
.can you help please
Answers
Answer:
38.81cm³
Step-by-step explanation:
Volume of a sphere = 4/3πr³
Diameter is 4.2
radius= 4.2/2 = 2.1 or 21/10
4/3 × 22/7 × 21/10 × 21/10 × 21/10
= 4851/125
= 38.808
≈38.81cm³
What are the real and imaginary parts of the complex number ? 16 + 3i
Answers
Answer:
Real - 16 Imaginary - 3i
Step-by-step explanation:
If the number has i with it, it's imaginary. If it doesn't have i with it, it's real
Using ruler and compasses only, construct a parallelogram KLMN, so that KL = 8 cm, LM = 6 cm and angle KLM = 135°.
Answers
The steps to construct a parallelogram using a ruler and a compass are;
1. Draw a starting line segment l linger than 8 cm.
2. Mark point K on the line segment.
3. Widen the compass to a radius of 8 cm using the ruler.
4. Place the compass at point K and with the 8 cm radius mark point L on the line l.
5. At point L construct a 45° angle as follows;
Draw arcs that intersect line l on both sides of point L.From each of the intersection points, draw arcs that intersect each other on on the upper area adjacent to line l.From the intersection point in the previous step, draw a line to point L to get a perpendicular line to line l.Draw arcs to intersect the perpendicular line and line l on the other side of point L from K.From the points the arc intersects the perpendicular line draw arcs of the same radius to intersect at a point X to the right of the perpendicular line.The above steps bisects the 90° angle of the perpendicular lines.
Join point X to point L with a straight line to form ∠XLM = 135° (90° + 45° = 135°)6. Adjust the radius of the compass to give an opening of 6 cm and from point L draw an arc to intersect XL at M.
7. At point M construct a line YM at 45° angle to the line l.
8. From point M draw an arc to intersect YM and label the point as point N.
9. Join point M and N to complete the construction of the parallelogram KLMN.
Learn more about construction using a compass and a ruler here:
https://brainly.com/question/1528158?section=similar
Write a linear function f with f(-2) = 6 and f(0) = -4
f(x) =
Answers
Answer:
y = -5x - 4
Step-by-step explanation:
yeah-ya............ right?
what is the x value of the solution to the system of equations below
x+y+z=8
x+2y=6
y+z=4
Answers
Answer:
Let's solve for x.
x+y+z=8
Step 1: Add -y to both sides.
x+y+z+−y=8+−y
x+z=−y+8
Step 2: Add -z to both sides.
x+z+−z=−y+8+−z
x=−y−z+8
Answer:
x=−y−z+8
PLEASEEE HURRY. Please I really need this please
Answers
Answer:
answer is
Step-by-step explanation:
Answer:
final answer is: ABC, A (-5,1), B (-4,6) and C (-1,4)
Step-by-step explanation:
Original: ABC, A (2,-1), B (1,4) and C (-2,2)
translate 3 units to the right and 2 units up: ABC, A (5,1), B (4,6) and C (1,4)
reflected over the x-axis: ABC, A (5,-1), B (4,-6) and C (1,-4)
rotated 180°: ABC, A (-5,1), B (-4,6) and C (-1,4)
Please Help Question in picture
Answers
Answer:
(-3, 5.5)
Step-by-step explanation:
To find the midpoint, you add up the corresponding coordinates (x with x and y with y) and divide each by 2.
(-7+1)/2 = -3
(8+3)/2 = 5.5
Answer:
(-3,5.5)
Step-by-step explanation:
(-7,8)
(1,3)
(-7+1)/2,(8+3)/2
-3,5.5
Dividing 3/5 into what number gives you 20
Answers
Answer:
12
Step-by-step explanation:
Set up equation like this with x being the number
X / (3/5) = 20
X * (5/3) = 20
so multiply both sides by 3/5 so
X = 20 (3/5)
therefore,
X = 12
we can check to make sure this is right by plugging it back in:
12 / (3/5) = 20 so it is true
Examine the diagram, where BD is tangent to circle M at point D, and BA is secant to the same circle at points E and A.
Answers
Answer:
19 = x
Step-by-step explanation:
The square of the tangent segment = The product of (whole secant segment) (the outside part of the secant segment)
BD²= (BA)(BE)
8² = (4 + x - 7) (4) BA = BE + EB
8² = (x - 3)(4)
64 = 4x - 12
64 + 12 = 4x
76 = 4x
19 = x
Please answer these questions.(please include work/explanation)(1)
Answers
Answer:
Hi there!
I will help you answering the questions, if you do not understand what I'm working about, you can ask me on comment section.
Number 1First of all, we need to multiple the separated function.
[tex] \sf2(3x + 4)(x - 1)(x - 3) \\ = \sf(6x + 8)(x - 1)(x - 3) \\ \tt multiple \: the \: first \: equation \\ \tt(6x + 8) \: with \: (x - 1) \\ \sf = (6x \times x + 6x \times - 1 + 8 \times x + 8 \times - 1)(x - 3) \\ = \sf({6x}^{2} + 2x - 8)(x - 3) \\ \tt then \: multiple \: the \: last \: one \\ \tt (6 {x}^{2} + 2x - 8) \: with \: (x - 3) \\ \sf = \boxed{ \bold{ \red{ {6x}^{3} - 16x {}^{2} - 14x + 24}}}[/tex]
So the right answer is A
━━━━━━━━━━━━━━━━━
Number 2the graph has four zeros at :
-4-2/309After that we make them equal with 0, here is the thing:
x = -a is equal with x + a = 0
So we can conclude that :
-4 → x + 4 = 0-2/3 → 3x + 2 = 00 → x = 09 → x - 9 = 0Then we substitute them to a function :
x(x + 4)(3x + 2)(x - 9) = 0
3x⁴ - 13x³ - 118x² - 72x = 0
Then we looking on the option which one is equal with the answer above.
The right answer is B
━━━━━━━━━━━━━━━━━
Hope It Helps!
Rearrange the equation so w is the independent variable. u-5=-4(w-1)u−5=−4(w−1)
w =
Answers
Answer:
u=−4w+9
Step-by-step explanation:
u−5=−4(w−1)
u=−4(w−1)+5
u=−4w+4+5
u=−4w+9
Find the measure of the missing angle
Please help me, I’ll give you points
Answers
Answer:
a = 28°
Step-by-step explanation:
62°+a° = 90°
a = 90 - 62
a = 28°
Answer:
∠A = 28°Step-by-step explanation:
Since we know that 62 + ∠A must equal 90°, we can find the missing angle by isolating the variable.
=> 62 + ∠A = 90°=> ∠A = 90 - 62=> ∠A = 28°Conclusion:
Therefore, the measure of the missing angle is 28°.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Evaluate this -4-12/(-4)?
Answers
Answer:
4
Step-by-step explanation:
Interest earned: $76
Principal: $800
Interest rate:?
Time: 2 years
Answers
Answer:
19%
interest earned = base × time × rate
interest rate = interest earned/ base × time
76/800*2 = 0.19 = 19%
Choose two expressions that are equivalent to 5 (3a + 4b).
A. 15a + 4b
B. 15a + 206
C. 5a + 3a + 4b
D. 5a + 10a + b + 3b
E. 10a + 5a + 15b + 5b
Pick two answers
Answers
Answer:
B and E
Step-by-step explanation:
I think the choice is wrong. choice B maybe 15a+20b...
5(3a+4b) = 15a+20b (B)
(E) : 10a + 5a + 15b + 5b = 15a+20b
fighting! ✌✌
Answer:
e. 5(3a+4b) = 15a+ 20b = 10a+5a+15b+5b
Please help me with my math problem!! NO LINKS PLEASE!! IT IS DUE TONIGHT AT 11:59PM!! WILL GIVE BRAINLIEST!! :)
Answers
Step-by-step explanation:
Hi, i think this is how to do it. I'm sorry if I do it wrong!
M is the midpoint of the segment. Find the length of CG
Answers
6x - 15 = 4x + 1
-4x +15 -4x +15
(Move all the x’s to one side the other numbers to the other)
2x = 16
2 2
(Divide both sides by 2)
x = 8
Now just plug in x to find the length of one segment and double it to find the length of CG
6(8) - 15 = 33
33 • 2 = 66
CG = 66
What is the solution of VX+ 12 = x?
O x=-3
O x = 4
O x= -3 or x = 4
O no solution
Answers
Answer: No solution
Step-by-step explanation:
VX+12-12=x-12
VX=x-12
VX/x=x/x-12/x= X≠0
352 is 32% of what number?
Answers
Answer:
1100
Step-by-step explanation:
A square fence has an area of 81 cm sq. What is the length of each side?
Answers
Answer:
9 cm
Step-by-step explanation:
[tex]\sqrt{81} = 9[/tex]
Subtract
x + 3
O A.
-x + 13
; X = -3 or 1
1)(x + 3)
o
O
B.
-x + S
(x - 1)(x + 3)
:X #-3 or 1
O
7x + S
(x - 1)(x + 3)
;X #-3 or 1
o
D.
7x + 13
(x - 1)(x + 3)
;X *-3 or 1
Answers
Answer:
-3
Step-by-step explanation:
x
+
3
=
O
A
=
−
x
+
13
=
X
=
−
3
=
=
−
3
1
=
=
−
3
1
=
=
−
3