What is the multiple zero and multiplicity of f(x)=x^3+2x^2+x? Help needed !!
A. Multiple zero =-1; multiplicity = 2
B. Multiple zero =1;multiplicity =2
C. Multiple zero = 2; multiplicity =-1
D. Multiple zero =2; multiplicity =1
Answers
f(x) = x³ + 2x² + x
f(x) = x.(x² + 2x + 1)
f(x) = x.(x + 1)²
So, f(x) = 0 when x = 0 or when x = -1
But
f(x) = x.(x + 1)² = x.(x + 1).(x + 1)
So we have three roots, x = 0, x = -1 and x = -1, although two of them are equal.
So we have a multiple zero x = -1 with a multiplicity 2.
Alterativa A.
Answer:
A
Step-by-step explanation:
Related Questions
what is 1 + 1 ????
thank you next (;
Answers
Answer: 2
Step-by-step explanation:
1 + 1 = 2
the answer equal ：2
+=2
Please help me asap i needa pass this
Answers
Answer:
The first 4 are correct and the last one is incorrect
Step-by-step explanation:
1. The diameter of the circle is 30.8 m ( Correct )
Radius = 15.4 so diameter is 2 times the radius which is 30.8 m
2. The circumference in terms of π is 30.8 π ( Correct )
Circumference = π × Diameter
Circumference = π × 30.8
Circumference = 30.8 π
3 . The circumference of the circle can be found using 2 × π × 15 . 4 ( Correct )
Circumference = π × Diameter
Circumference = π × 30.8
Circumference = 30.8 π
4 . The approximate circumference of the circle rounded to the nearest tenth is 96.7 m ( Correct )
Circumference = 30.8 π = 96.7610537306
5 . A little more than 6 diameters could be wrapped around the circle
( False )
Circumference = 96.7610537306
Diameter = 30 . 8
96.7610537306 ÷ 30 . 8 = 3.14
Select the graph that best represent this description
Answers
The top left graph is the only one correct. It rises up slowly then faster, and then stays constant for an hour, then decreases.
The temperature starts at 50°, then it slowly increases. Next it increases quickly, then it stays the same temperature for an hour. And finally the temperature slowly decreases.
The 1st graph is your answer(top left)
It is not the 2nd graph (top right) because the temperature stays at 50° for 2 hours, than decreases, which does not match the description.
It is not graph 3 (bottom left) because it increases quickly, than stays the same for 4 hours.
It is not graph 4 (bottom right) because the graph is decreasing most of the time
Through a point, not a given line, how many perpendicular lines can be drawn to the given line?
A. Two
B. Infinite
C. None
D. Only one
Answers
Answer:
D. Only one
Step-by-step explanation:
Lines are perpendicular if they intersect to form a right angle (90°).
The perpendicular postulate tells you that when you have a line and a point not on the line, then there is only one perpendicular line that can be drawn through the point to the line.
Final answer:
From a point not on a given line, only one perpendicular line to the given line can be drawn, as it is the shortest and unique path between the point and the line.
Explanation:
The question relates to the geometric concept of drawing perpendicular lines to a given line from a point outside of that line. According to geometric principles, through a point not on a given line, you can draw only one perpendicular line to the given line. This is because the perpendicular line is the shortest path between a point and a line, and only one unique shortest distance exists, as any other line from the point to the given line will be longer. Therefore, if you were given a point and a line that the point is not on, you could take a ruler or a straight edge and draw exactly one line that crosses the original line at a 90-degree angle, demonstrating a perpendicular connection.
Find the center,vertices,foci,and asymptotes of the hyperbola.
Answers
Answer:
The center is (8 , -9)
The vertices are (11 , -9) and (5 , -9)
The foci are (8 , -9 + √58) and (8 , -9 - √58)
The equations of the asymptotes are y = 3/7(x − 8) - 9 , y = -3/7 (x − 8) - 9
Step-by-step explanation:
- The standard form of the equation of a hyperbola with
center (h , k) and transverse axis parallel to the y-axis is
(y - k)²/a² - (x - h)²/b² = 1
- The length of the transverse axis is 2 a
- The coordinates of the vertices are ( h ± a , k )
- The length of the conjugate axis is 2 b
- The coordinates of the co-vertices are ( h , k ± b )
- The coordinates of the foci are (h , k ± c), where c² = a² + b²
- The equations of the asymptotes are y = ± a/b (x − h) + k
* Now lets solve the problem
∵ (y + 9)²/9 - (x - 8)²/49 = 1
∴ h = 8 and k = -9
∴ a² = 9 ⇒ a = ± 3
∴ b² = 49 ⇒ b = ± 7
∵ c² = a² + b²
∴ c² = 9 + 49 = 58
∴ c = ± √58
∵ The center is (h , k)
∴ The center is (8 , -9)
∵ The coordinates of the vertices are ( h ± a , k )
∴ The vertices are (8 + 3 , -9) and (8 - 3 , -9)
∴ The vertices are (11 , -9) and (5 , -9)
∵ The coordinates of the foci are (h , k ± c)
∴ The foci are (8 , -9 + √58) and (8 , -9 - √58)
∵ The equations of the asymptotes are y = ± a/b (x − h) + k
∴ The equations of the asymptotes are y = 3/7 (x - 8) - 9 and
y = -3/7 (x − 8) - 9
Answer:
Center = (-9,8)
Foci = (0,±7.6)
Vertices = (0,±3)
Asymptotes y = 8±(3/7)(x+9)
Step-by-step explanation:
We need to find the center, vertices, foci and asymptotes of hyperbola:
[tex]\frac{(y+9)^2}{9} - \frac{(x-8)^2}{49}=1[/tex]
The hyperbola has vertical transverse axis having standard equation:
[tex]\frac{(y-k)^2}{a^2} - \frac{(x-h)^2}{b^2}=1[/tex]
The center is (h,k), foci (0,±c) , vertices = (0,±a) and
asymptotes = y= k±(a/b)(x-h)
Solving for the given equation by comparing with standard equation:
a^2 = 9 => a = 3
b^2 = 49 => b =7
h= -9
k= 8
c^2 - a^2 = b^2
c^2 = b^2 + a^2
c^2 = 49+9
c^2 = 58
c = 7.6
Now Center(h,k) = (-9,8)
Vertices (0, ±a) = (0,±3) or (0,+3), (0,-3)
Foci (0,±c) = (0, ±7.6) or (0+7.6), (0,-7.6)
Asymptotes = y= k±(a/b)(x-h)
Putting values:
y= 8±(3/7)(x-(-9)
y = 8±(3/7)(x+9)
or y = 8+(3/7)(x+9) and y= 8-(3/7)(x+9)
find m∠AEB
A 10
B 70
C 110
D 170
Answers
Answer:
A. 10
Step-by-step explanation:
The two angles are vertical angles, thus they are equal. You solve once you set the two angles equal in an equation. See work for more.
Answer:
The correct answer is option B. 70
Step-by-step explanation:
From the figure we can see that a pair of vertically opposite angles.
Vertical opposite angles are equal.
To find the value of x
From figure we get,
<AEB = <CDE
2x + 50 = 7x
7x - 2x = 50
5x = 50
x = 10
To find m<AEB
m,<AEB = 2x + 50
= 2*10 + 50
= 20 + 50
= 70°
Therefore the correct answer is option B. 70
solve kx+7=4 for x[tex]kx+7=4[/tex]
Answers
Answer:
x = [tex]\frac{-3}{k}[/tex]
Step-by-step explanation:
Given
kx + 7 = 4 ( isolate the term in x by subtracting 7 from both sides )
kx = - 3 ( divide both sides by k )
x = [tex]\frac{-3}{k}[/tex] = - [tex]\frac{3}{k}[/tex]
Answer:
The value of the equation for x is [tex]x=\frac{-3}{k}[/tex]
Step-by-step explanation:
Consider the provided equation.
[tex]kx+7=4[/tex]
We need to solve the equation for x.
Subtract 7 from both the sides.
[tex]kx+7-7=4-7[/tex]
[tex]kx=-3[/tex]
Divide both sides of the equation with k.
[tex]\frac{kx}{k}=\frac{-3}{k}[/tex]
[tex]x=\frac{-3}{k}[/tex]
Hence, the value of the equation for x is [tex]x=\frac{-3}{k}[/tex]
A dime is 1.25 mm thick. How many meters high would a stack of dimes worth $50 be?
Answers
Answer:
625 mm
Step-by-step explanation:
$50 worth in dimes is 500 dimes. 500 dimes times 1.25mm per dime = 625mm
|x−(−12)|, if x>−12
Answers
Answer:
Step-by-step explanation:
if x>−12
add 12 : x+12 >0
but x−(−12) = x+12
so :|x−(−12)| = |x+12| = x+12 .... ( x+12 >0)
note : |a| = a if a>0
The interior angles of △ABC measure 34°, 50°, and x°. The interior angles of △DEF measure y°, 50°, and 96°.
Which statement is true?
The triangles are not similar because y≠34 .
The triangles are not similar because x≠y .
The triangles are similar because they each have an interior angle that measures 50°.
The triangles are similar because y=34 and there are three pairs of congruent angles.
Answers
Answer:
The triangles are similar because y=34 and there are three pairs of congruent angles.
Step-by-step explanation:
For triangle ABC, let's start by finding the value of X...
The sum of the interior angles of a triangle sum up to 180 degrees, so...
X = 180 - 34 - 50 = 96 degrees
Angles for ABC are then: 34°, 50° and 96°.
For triangle DEF, let's find y° the same way:
Y = 180 - 50 - 96 = 34 degrees.
Angles for DEF are then: 34°, 50° and 96°
The angles are the same, in the same order... so both triangles are similar.
Answer:
The answer is D
Step-by-step explanation:
the midpoint of line segment MN is located at (-5,-8). the endpoint M is located at (3,4). What are the coordinates of endpoint N?
please help
Answers
Answer:
The coordinates of point N are (-13 , -20)
Step-by-step explanation:
* Lets revise how to find the mid-point of a segment
- If a line has two endpoints(x1 , y1) and (x2 , y2), then we can find
the mid-point (x , y) of it by using this rule
x = (x1 + x2)/2 and y = (y1 + y2)/2
* Now lets solve the problem
∵ The line segment is MN
∵ M is (3 , 4)
∵ The mid-point is (-5 , -8)
- Let M is (x1 , y1) and N is (x2 , y2)
- Let the mid-point is (x , y)
∴ x1 = 3 , y1 = 4
∴ x = -5 , y = -8
∵ x = (x1 + x2)/2
∴ -5 = (3 + x2)/2 ⇒ multiply both sides by 2
∴ -10 = 3 + x2 ⇒ subtract 3 from both sides
∴ x2 = -13
∵ y = (y1 + y2)/2
∴ -8 = (4 + y2)/2 ⇒ multiply both sides by 2
∴ -16 = 4 + y2 ⇒ subtract 4 from both sides
∴ y2 = -20
∴ The coordinates of point N are (-13 , -20)
Answer:
(-13 , -20) TRUST me
Step-by-step explanation:
Complete the table for the given rule.
Rule: y=x-5
x y
7
25
15
Answers
Answer:
I don't understand the question take a snip it or take a picture of the question
Step-by-step explanation:
Answers= 12, 30 and 10.
Explanation: 12-5 is 7
30-5 is 25
15-5 is 10
Huong collects coins. Over a three-year period she collected 1,000 nickels. After organizing them by year, she found that the number of nickels from a given year was related to the number minted that year:
minted (100 mill) | 3.3 | 7.8 | 11.8 | 12.6 | 15.1 | 16.4 |
In sample | 3 | 19 | 27 | 24 | 30 | 43 |
a.) Logarithmic
b.)exponential
c.)linear
d.)quadratic
Answers
Answer:
C.) Linear
Step-by-step explanation:
The line of best fit is a straight line.
Linear also make sense because the more nickles minted in a year, the more chance for a nickle to be from that year.
A round balloon is filled with 179.5 cubic inches of helium what is the diameter of the balloon
Answers
Answer:
The diameter of the balloon is [tex]7\ in[/tex]
Step-by-step explanation:
we know that
The volume of a sphere (balloon) is equal to
[tex]V=\frac{4}{3}\pi r^{3}[/tex]
we have
[tex]V=179.5\ in^{3}[/tex]
[tex]\pi =3.14[/tex]
substitute and solve for r
[tex]179.5=\frac{4}{3}(3.14)r^{3}[/tex]
[tex]r^{3}=179.5*3/[(4)*(3.14)][/tex]
[tex]r=3.5\ in[/tex]
Find the diameter
The diameter is two times the radius
[tex]D=2(3.5)=7\ in[/tex]
which of the following describes the transformations of g(x)=-(2)^x+4 -2 from the parent function f(x)=2^x
Answers
ANSWER
reflection in the x-axis
shift 4 units right
shift 4 units down
EXPLANATION
The given function is
[tex]g(x) = - {2}^{x + 4} - 2[/tex]
The parent function is
[tex]f(x) = {2}^{x} [/tex]
The transformation applied to f(x) to obtain g(x) is of the form
g(x)=-f(x+c)-k
This will shift the graph to the left by c units and shift down by k units and reflected in the x-axis.
For
[tex]g(x) = - {2}^{x + 4} - 2[/tex]
The transformation are:
reflection in the x-axis
shift 4 units right
shift 4 units down
a falcon can fly at a speed of 87 kilometers per hour. a goose can fly at a speed of 78 kilometers per hour. Suppose a falcon and a goose each fly for 6 hours. How much further will the falcon fly?
Answers
Answer:
54 kilometers
Step-by-step explanation:
87x6 or 522km - 78x6km or 468 = 54
The falcon can fly 54km further than the goose.
How to find the difference between the distance traveled by the falcon and the goose?
Speed of the falcon = 87km/hr
Speed of the goose = 78km/hr
speed = [tex]\frac{distance}{time}[/tex]
distance = speed*time
Distance traveled by falcon in 6 hours = 87*6 km = 522km
Distance traveled by goose in 6 hours = 78*6 km = 468 km
How much further the falcon fly
= Distance traveled by falcon - Distance traveled by goose
= (522 - 468 )km
=54km
To learn more about speed and time, refer:
https://brainly.com/question/13262646
#SPJ2
ABC is a triangle. D is a point, vectors 2BD = 3DC
Prove vectors 2AB + 3AC = 5AD
Answers
3Ac?????????????????
Pipe A can fill a tank in 40 minutes, while pipe B takes 60 minutes to fill the same tank.
If both pipes are used at the same time, how long will it take to fill the tank?
Answers
Answer:
24 minutes.
Step-by-step explanation:
This question shows up in a great many places in math or physics, so it is a pretty good question to learn how to do.
First you should note that answer will be under 40 minutes.
1/40 + 1/60 = 1/TimeTotal
The common denominator on the left is 120 minutes
3/40*3 + 2/60*2 = 1/timetotal
3/120 + 2/120 = 1/ timetotal
5/120 = 1/time total Now to use to the key stop
What you do now is you always turn the left side over. You do the same thing to total time.
120/5 = total time
24 = total time
What this means is that if you let both pipes run for 24 minutes, they will fill the tank working together.
16. Find the volume of the figure.
28 cm
15 cm
15 cm
Answers
Answer: 6300 cm 2
Step-by-step explanation: To find the volume of a 3d shape you have to use the formula L x W x H or (Length times Width Times Height).
So now we can see 15 x 15 x 28 = 6300
So you answer is 6300 cm 2
Btw if you did not know the 2 above cm means squared :)
Hope this helped have a nice day :)))))
The formula to find the surface area of a rectangular prism is A = 2wl + 2lh + 2hw, where w is the width, the l is the length, and the h is the height.
What is the solution of log base 3x + 4 * 4096 = 4?
x = −1
x = 0
x = 4 over 3
x = 3
Answers
Answer:
[tex]x=\frac{4}{3}[/tex]
Step-by-step explanation:
The given logarithmic equation is
[tex]\log_{3x+4}(4096)=4[/tex]
We take antilogarithm to get:
[tex]4096=(3x+4)^4[/tex]
We write the left hand side as a power.
[tex]8^4=(3x+4)^4[/tex]
Since the exponents are the same the bases are also equal.
[tex]8=3x+4[/tex]
[tex]8-4=3x[/tex]
[tex]4=3x[/tex]
Divide both sides by 3;
[tex]x=\frac{4}{3}[/tex]
what is 25-3x=10 broken down
Answers
Answer:
The answer is x = 5
Step-by-step explanation:
The given equation is
25 - 3x = 10
So when we break down this equation, we will have the value of x. Now breaking down the equation and moving variables to the correct positions.
25 - 3x = 10
Moving -3x and 10 to the other sides
25 - 10 = 3x
3x = 25 - 10
3x = 15
Now dividing both sides with 3, we get the following answer
3x/3 = 15/3
x = 5
Breaking down the equation gives us the value of x, i-e 5
becky visited the great pyramid of Giza she learned that the pyramid was originally 481 feet tall and it’s square base has size measuring 751 feet in link Becky wants to know the volume of the pyramid what is the volume of the pyramid?
Answers
Final answer:
90,708,501 cubic feet .
Explanation:
The volume of a pyramid is calculated by using the formula V = (1/3) × (base area) × (height). Since Becky learned that the Great Pyramid of Giza has a square base with each side measuring 751 feet, we can calculate the base area as follows: base area = side × side = 751 feet × 751 feet. We then multiply this area by the height of the pyramid, which is 481 feet, and divide by 3 to find the volume. The calculation is as follows:
base area = 751 ft × 751 ft
Volume = (1/3) × base area × height
Volume = (1/3) × (751 × 751) ft² × 481 ft
Volume = 90,708,501 ft³
What is the value of x
Answers
X = 50
To solve this equation you would use 2x-5=95
Then you would solve and X = 50
Which doubles fact helps you solve 5+6=11? Circle the number sentence.
Answers
Answer:
5 + 5 = 10
Step-by-step explanation:
If you know that 5 + 5 = 10, you can solve 5 + 6 = 11. You are adding one more to the addends (adding 6 instead of adding 5), so you add one more to the sum (11 instead of 10).
What is the vertex of the graph of this function
y= -(x-1)(x+3)
Answers
Answer:
Vertex = (-1,4).
Step-by-step explanation:
Given equation is [tex]y=-(x-1)(x+3)[/tex].
Now we need to find the vertex of the graph of given function [tex]y=-(x-1)(x+3)[/tex].
To find that we can rewrite given function into vertex form
[tex]y=-(x-1)(x+3)[/tex]
[tex]y=-(x^2+3x-1x-3)[/tex]
[tex]y=-(x^2+2x-3)[/tex]
[tex]y=-(x^2+2x+1-1-3)[/tex]
[tex]y=-((x+1)^2-1-3)[/tex]
[tex]y=-((x+1)^2-4)[/tex]
[tex]y=-(x+1)^2+4[/tex]
Now compar this equation with [tex]y=a(x-h)^2+k[/tex]
we get: h=-1, k=4
Hence vertex is (h,k) or (-1,4).
Final answer:
The vertex of the graph of the function y = -(x-1)(x+3) is at the point (-1, -2).
Explanation:
The vertex of the graph of the function y = -(x-1)(x+3) can be found by rewriting this function in vertex form or by calculating the axis of symmetry and the value of the function at that point. Since the function is in factored form, we need to find the axis of symmetry which is the average of the x-values of the roots (x-intercepts). In this case, the roots are x = 1 and x = -3.
To find the axis of symmetry, we take the average of 1 and -3, which gives us:
((1) + (-3))/2 = (-2)/2 = -1
Now, we plug x = -1 into the function to find the y-coordinate of the vertex:
y = -((-1)-1)((-1)+3) = -(1)(2) = -2
Therefore, the vertex of the graph of the function is at (-1, -2).
Sarah went on a one-day bus tour from Las Vegas to the Grand Canyon. The cost of the bus ticket was $80. She also paid 15% of the cost of the ticket as a tip to the bus driver. What was the amount of the tip that Sarah paid the bus driver?
$5
$12
$15
$19
PLEASE HELP! AND SHOW WORK!
Answers
Answer: the answer is 12 dollars
Step-by-step explanation: turn the percent 15 into a decimal, then just multiply .15*80 to get your answer
Answer: $12
Step-by-step explanation: 80$ is the cost. you're taking 15% of the cost. 15% of the cost is .15 of 80$. .15 x 80 is 12
to leave her office karen can coose between three sets of stairs and seven doors how many ways can she leave her office
Answers
ten ways(10) i think so
The answer is 21 ways.
Hope this helps!
Jack is married to Jill. Their son, Junior, asked each of them to reveal their
ages. Junior's parents decided to tell him, but in the form of a puzzle. Jack
told Junior, "If you reverse the digits in my age, you get your mother's age."
Jill told her son, “The sum of my age and your dad's age is equal to 11
times the difference in our ages."
"Wait a minute," said Junior, “I can't figure out your ages with just those
two clues!"
"You're right," said Jack. “Remember that I am older than your mother."
What are the ages of Jack and Jill? _
PLEASE HELP. I need help, I don't understand
Answers
Final answer:
Jack is 64 years old and Jill is 46 years old. These ages satisfy the conditions that the digits of Jack's age reversed are Jill's age, the sum of their ages is 11 times the difference, and Jack is older than Jill.
Explanation:
The puzzle presented by Jack and Jill to their son, Junior, involves figuring out their ages with a given set of clues:
If you reverse the digits in Jack's age, you get Jill's age.
The sum of both Jack's and Jill's ages is equal to 11 times the difference in their ages.
Jack is older than Jill.
Let's denote Jack's age as 10a + b and Jill's age as 10b + a, where a and b are the tens and units digits of Jack's age, respectively. Based on the clues:
10a + b + 10b + a = 11(a - b)
This simplifies to:
11a + 11b = 11a - 11b2b = aWithout the third clue, there would be multiple solutions. However, the third clue tells us that Jack is older than Jill, meaning a > b. The possible ages for Jack (from 10-99) that have a digit twice the size of the other would be: 31, 42, 53, 64, 75, 86, and 97. The age of 97 can be discounted as being unrealistic, leaving us with a smaller set of possibilities.
By trial and elimination, we find that Jack is 64 years old and Jill is 46 years old, which fits all the given clues and is a plausible answer.
The point A(-3, -2) is translated using T: (x,y) → (x + 5, y - 3). What is the distance from A to A'?
Answers
Answer:
d=5.39 units
Step-by-step explanation:
Given A (-3, -2)
T= (x+5, y-3)
T= (-3+5, -2-3)
T=(2,-5)
Applying the translation on;
A( -3,-2)
A' (-3+2, -2+ -5)
A'= (-1, -7)
Distance
d= [tex]\sqrt { X2-X1)^2 + (Y2-Y1)^2[/tex]
A = (-3,-2) and A'(-1, -7)
d=√ (-1--3)² + (-7--2)²
d=√ (2)²+(-5)²
d=√4+25
d=√29
d=5.39 units
Charlotte needs to collect at least 5,000 signatures for her petition. She has already collected 3,187 signatures. Write and solve an equation to determine how many more signatures Charlotte needs.
Answers
Okay!
The most important part of this problem is knowing which inequality sign to use
Greater than >
Less Than <
Equal to .. =
Greater or equal to ≥
Less than or equal to ≤
Charlotte needs AT LEAST 5,000 votes, meaning she has to have 5,000 votes or more
That means we use this sign → ≤
Now lets set up an equation to find how many more we need
5,000 ≤ 3,187 + X
solve for X
1,813 ≤ X
Hope I helped :) Sorry for the long explanation