Consider the graph of the sixth degree polynomial f. Replace the values b, c and d to write function f.
f(x) = (x-b)(x-c)^2(x-d)^3
Answers
Answer:
f(x) = (x - 2)(x + 1)²(x - 4)³
Step-by-step explanation:
Multiplicity of a polynomial:
1). If the multiplicity is odd, the graph will cross the x-axis at that zero.
2). If the multiplicity is even, the graph will touch the x-axis at that zero.
Since the given graph is just touching the x-axis at x = -1 multiplicity for the zero (at x = -1) will be even.
Similarly, graph is crossing the x-axis at x = 2 and x = 4, multiplicity for the zero will be odd.
So, the function will be,
f(x) = (x - 2)(x + 1)²(x - 4)³
Answer:Answer : f(x)= (x-1)(x+1)^2(x-4)^3
Step-by-step explanation:
Related Questions
Write an equation for each problem. Then solve. Round to the nearest tenth if necessary.
55 is what percent of 100?
Answers
Answer:
55%
Step-by-step explanation:
100 is a whole number. Half of 100 is 50 meaning that you have divided 100 by 1/2 or 50%.
55/100 = 55%
Answer: 55%
Step-by-step explanation:
The arithmetic mean of three consecutive even integers is 20. Which equation could be used to find the integers? A) x(x + 2)(x + 4) = 20 B) x + 2x + 4x 3 = 20 C) x(x + 2)(x + 4) 3 = 20 D) x + (x + 2) + ( x + 4) ] = 20 E) x + (x + 2) + ( x + 4) 3 = 20
Answers
Given:
The arithmetic mean of three consecutive even integers is 20.
To find:
The equation that can be used to find the integers.
Solution:
Let the three consecutive even integers are x, x+2 and x+4.
We know that,
[tex]\tex{Mean}=\dfrac{\text{Sum of observations}}{\text{Number of observations}}[/tex]
The arithmetic mean of three consecutive even integers is:
[tex]\tex{Mean}=\dfrac{x+(x+2)+(x+4)}{3}[/tex]
It is given that, mean = 20. So,
[tex]\dfrac{x+(x+2)+(x+4)}{3}=20[/tex]
Therefore, the correct option is E.
PLEASE HELP!!!! Carlos begins his workout by stretching. Then he spends an equal amount of time on each workout machine. The equation y = 8x + 10 represents the total time, in minutes, of Carlos' workout if he uses x workout machines.Explain what the slope and y-intercept of the equation represent in this situation.
A. Carlos spends 8 minutes stretching And 10 minutes on each workout machine
B. Carlos Spend 10 minutes stretching and eight minutes on each workout machine
C. Carlos Uses eight workout machines for 10 minutes each
D. Carlos spends 10 minutes on one machine and 8 minutes on another
Answers
Answer:
b
Step-by-step explanation:
because X= the amount of time hes on each machine. so 8 times x
Answer: B
Step-by-step explanation:A P E X
Describe a sequence of translations, rotations, and reflections that takes Polygon P to Polygon Q. P
Answers
Answer:
train tracks
Step-by-step explanation:
They have simple rotations and movemental frequences
PLZ HELP List all the possible numbers of pennies that Gigi could have in order to have her pennies into rectangular array with more than one row or column and she has a remainder (in this case leftover pennies). Remember she must have between 10 and 30 pennies total.
Answers
Answer:
If Gigi has between 10 and 30 pennies, all the possible combinations that form a rectangle with more than 1 column and row are:
2 x 5 or 5 x 2 (10 pennies in total)2 x 6 or 6 x 2 (12 pennies in total)2 x 7 or 7 x 2 (14 pennies in total)2 x 8 or 8 x 2 (16 pennies in total)2 x 9 or 9 x 2 (18 pennies in total)2 x 10 or 10 x 2 (20 pennies in total)2 x 11 or 11 x 2 (22 pennies in total)2 x 12 or 12 x 2 (24 pennies in total)2 x 13 or 13 x 2 (26 pennies in total)2 x 14 or 14 x 2 (28 pennies in total)2 x 15 or 15 x 2 (30 pennies in total)3 x 4 or 4 x 3 (12 pennies in total)3 x 5 or 5 x 3 (15 pennies in total)3 x 6 or 6 x 3 (18 pennies in total) 3 x 7 or 7 x 3 (21 pennies in total)3 x 8 or 8 x 3 (24 pennies in total)3 x 9 or 9 x 3 (27 pennies in total)3 x 10 or 10 x 3 (30 pennies in total)4 x 4 (16 pennies in total)4 x 5 or 5 x 4 (20 pennies in total)4 x 6 or 6 x 4 (24 pennies in total)4 x 7 or 7 x 4 (28 pennies in total)5 x 5 (25 pennies in total)5 x 6 or 6 x 5 (30 pennies in total)Find the slope of the line
(1,-5),(-4,0)
Answers
Y^2-Y^1/X^2-X^1
0-(-5)/-4-1
5/-5
-1
Answer:
-1
Step-by-step explanation:
slope = ΔY / ΔX = 5/(-5)=-1
please help please solveit
Answers
A parabola has a vertex of (-2,1) and passes through the point (0,-7). What is the value of amplitude
Answers
Answer:
The value of the amplitude is -2
Step-by-step explanation:
The given parameters are;
The vertex of the parabola = (-2, 1)
The point through which the parabola passes = (0, -7)
The equation of the parabola can be expressed as follows;
y - y₀ = a·(x - x₀)²
Where;
y₀ = The y-coordinate of the vertex = 1
x₀ = The x-coordinate of the vertex = -2
Therefore, we substitute the known values of the coordinates of a point the parabola to get;
-7 - 1 = a·(0 - (-2))²
-8 = 4·a
a = -8/4 = -2
The value of the amplitude a = -2.
783 times 42 fvvvvvdskjgfgehjck random letters needs to be 20 long
Answers
Answer:
cv 454546
Step-by-step explanation:
ZCCVZv dD
Find the area under the standard normal distribution curve between z=o and z=1.47
Answers
Answer:
hheikxkhyujherik
Step-by-step explanation:
iieeokwe7ib2tui
The area under the standard normal distribution curve between z=o and z=1.47 is 42.92%.
What is Standard normal distribution?The standard normal distribution is a special type of normal distribution where the mean is 0, and the standard deviation is 1.
The area under the standard normal distribution curve between z=o and z=1.47 can be found as,
Area = (Z=1.47) - (Z=0)
As per the z-table the values of z are,
Z = 1.47 = 0.9292
z = 0 = 0.5
Area = 0.9292 - 0.5
Area = 0.4292 = 42.92%
Thus, The area under the standard normal distribution curve between z=o and z=1.47 is 42.92%.
Learn more about Standard Normal Distribution:
https://brainly.com/question/25447725
#SPJ2
A young equestrian loved to ride her horse all day long, dreaming of the day she would ride in the Kentucky Derby. One day in early April, she left home at 10:00 am and rode her stallion at a nice, steady 10 miles per hour away from her house. At noon a call came in from the Derby saying she was in! Her father immediately jumped on his scooter and rides at a breezy 15 miles per hour to try and track her down and tell her the good news. On what scale would you measure the number of minutes the father must ride his scooter before catching up to his daughter? A. Hundreds B. Thousands C. Ten thousands D. Tens
Answers
The answer fam is............ A. Hundreds
The hundreds are the scale you would measure the number of minutes the father must ride his scooter before catching up to his daughter option (A) is correct.
What is the rate?It is defined as the change in values of a dependent variable with respect to the independent variables.
We have:
A young equestrian loved to ride her horse all day long, dreaming of the day she would ride in the Kentucky Derby.
She left home at 10:00 am and rode her stallion at a nice, steady 10 miles per hour away from her house
The rate = 10 miles/hour
Father's scooter rate = 15 miles/hour
Based on the data given the number of minutes the father must ride his scooter before catching up to his daughter should measure on a scale of hundreds.
Thus, the hundreds are the scale you would measure the number of minutes the father must ride his scooter before catching up to his daughter option (A) is correct.
Learn more about the rate here:
brainly.com/question/12786410
#SPJ2
which the best estimate of 22 x 97 by using roundings on compatibile numbers? F. 1,800 G. 2.000 H. 2.300 I. 2.100
Answers
If a system of linear equations has one solution, what does this mean about two lines?
Select all that apply.
a. Intersecting lines
b. No solution
c. One solution
d. Infinitely Many Solutions
e. (x,y)
Answers
help me please '
Solve for x and y
Answers
Answer: what is X and y?
Step-by-step explanation:
If a teacher distributes papers to each person in a class, please explain what they are doing
Pls I need this 35 point question
Answers
Can someone please help me
Answers
Answer:
130
Step-by-step explanation:
angle DEC and angle GHE are corresponding so they would be congruent or equal.
Answer:
130
Step-by-step explanation:
angle DEC and angle GHE are corresponding angles and they are same if they sit in parallel lines.
write 7 2/6 as a fraction greater than 1
nice and ez question right?
Answers
The ratio of collectible stamps Georgia owns to stamps that Julie owns is 2:1. Julie has 64 stamps. How will the ratio of Georgia’s stamps to Julie’s stamps change if they both sell half of their stamps? Explain.
Answers
Answer:
Step-by-step explanation:
As both are selling half of their stamps, the ratio won't change. It will be same:
Reason:
Georgia : Julie = 2 : 1
Let total stamps = x
Part of stamps that Georgia has = 2/3 of x
Part of stamps that Julie has = 1/3 of x
[tex]\frac{1}{3}x=64\\\\x = 64*3\\\\x= 192[/tex]
Total stamps = 192
Stamps with Georgia = 192 - 64 = 128
After selling half of his stamp, Georgia has = 128÷2 = 64
After selling half of her stamp, Julie has = 64 ÷ 2 = 32
Ratio of stamps after selling half of their stamps = 64 : 32
= 2 : 1
The ratio of collectible rocks Juanita owns to rocks that Aisling owns is 3:1. Aisling has 32 rocks. How will the ratio of Juanita’s rocks to Aisling’s rocks change if they both sell one fourth of their rocks? Explain.
Juanita : Aisling = 3 : 1
Let total rocks = x
Part of rocks that Juanita has = 3/4 of x
Part of rocks that Aisling has = 1/4 of x
[tex]\frac{1}{4}x=32\\\\x = 32*4\\\\x= 128[/tex]
Total rocks = 128
Rocks with Juanita = 128 - 32 = 96
After selling one fourth of his rock, Aisling has = 32 ÷ 4 = 8
After selling half of her rock, Juanita has = 96 ÷ 4 = 24
Ratio of rocks after selling one fourth of their rocks =24 : 8
= 3 : 1
A segment with endpoints (3.7) and (-8.7) is rotated
around the origin. How long will the new segment be?
A-8
B-5.5
C-22
D-11
Answers
b
Step-by-step explanation:
Use the diagram to find the measures of all the angles, given that m< 1 = 76°
Answers
Answer:
m< 3 = 76°, m< 3 = 104°, m< 3 = 76°,
Step-by-step explanation:
360°
m< 1 = m< 3 → 76° (76°*2 = 152°)
360° - 152° = 208°
208°/2 = 104°
m< 2 = m< 4 → 104°
Examine the department names for each hypothetical company, and then select the organizational type from the drop-down menu. If a company has departments such as Video Game Marketing, Movie Marketing, and Toy Marketing, it probably has a organizational structure. If a company has departments such as Sales, Marketing, Operations, and Human Resources, it probably has a organizational structure. If a company has departments such as Northwest, South, and Northeast, it probably has a organizational structure.
Answers
Answer: the first one is a matrix. the second one is functional.
Step-by-step explanation:
Answer:
If a company has departments such as Video Game Marketing, Movie Marketing, and Toy Marketing, it probably has a
✔ matrix
organizational structure.
If a company has departments such as Sales, Marketing, Operations, and Human Resources, it probably has a
✔ functional
organizational structure.
If a company has departments such as Northwest, South, and Northeast, it probably has a
✔ divisional
organizational structure.
Pls help me ASAP PLS PLS PLS PLS PLS PLS ASAP
Answers
Answer:
The domain is the input value of x, which can be any real number.
There is no inequality.
Set notation x | E R. ( all real nUmbers)
Interval. Oration (-infinity, infinity)
Range: set x to 0 and solve:
3(0)^2 + 2 = 2
The lowest value is 2 and goes to infinity.
Inequality is >=
Set notation Y | >= 2
Interval notation : [2, infinity)
End behavior they both go to infinity .
half of a number is subtracted from 19, the result is 13 what is the number
Answers
Answer:
12
Step-by-step explanation:
12 / 2 = 6
19 - 6 = 13
Answer:
12
Step-by-step explanation:
19-13 is 6
Half of 12 is 6
Find three consecutive even integers whose sum is 48
Answers
Answer:
14, 16, and 18
Step-by-step explanation:
hope this helps!
Please help! I have about a hour!
Answers
You welcome
WILL MARK BRAINLEST!!
Solve for y put in slope intercept form
(y = mx + b) to find slope
Y + 6 = 1/2 ( x + 20)
Show work please
Answers
*For slope intercept form, you literally just find the slope, and the y-intercept
Hope this helps bro!
I need help! PLEASE HELP!!
Answers
Answer:
Step-by-step explanation:
P = pizza slices
S= soda drinks
98 = 23*P + 31*S
Lin and Elena have discovered they have so much in common. 1. They each walk 500 units to school. Who walks 500 feet, and who walks 500 yards? A grid of three buildings labeled "School", "Lin's house", and "Elena's house". Select the correct choice. A Lin walks 500 feet and Elena walks 500 yards.Lin walks 500 feet and Elena walks 500 yards. B Lin walks 500 yards and Elena walks 500 feet.Lin walks 500 yards and Elena walks 500 feet.
Answers
Answer:
Lin walks 500 feet and Elena walks 500 yards
Step-by-step explanation:
First of all, 1 yard is greater than 1 feet, there relation is given by:
1 yard = 1 feet
From the image attached, we can see that Lin's house is closer to the school than Elena house, therefore we can come to the conclusion that Lin walks 500 feet and Elena walks 500 yards because Elena house is farther away from the school. The distance from Elena house to the school is about 3 times the distance from Lin house to the school.
Answer: lin walks 500 feet and elena walks 500 yards
Step-by-step explanation:
1 foot is smaller then one yard
i will literally pay you pls help me :(
Answers
The answer is 35
Since they are supplementary they both equal 180 degrees.
(3x+10)+(2x-5)=180
Add them up
5x-5=180
Subtract 5 from both sides
5x=180-5
5x=175
Divide 5 from both sides
x=35.
help me I will give brainiest
Answers
Answer:
5) -12 1\2
6) -3
Answer:
2(10x+6)2+24x+60
20x+12=62+24x
20x-24x=62-12
-4=50
[tex]x = - \frac{25}{2} [/tex]