Three roots of a fifth degree polynomial function f(x) are -2, 2, and 4 + i. Which statement describes the number and
nature of all roots for this function?
A) f(x) has two real roots and one imaginary root.
B) f(x) has three real roots.
C) f(x) has five real roots.
D) f(x) has three real roots and two imaginary roots.
Answer:
D.
Step-by-step explanation:
Its a fifth degree function so it will have 5 roots.
One of the 3 roots is complex ( imaginary):- 4 + i so there must be another root value 4 - i because these roots always occur as conjugate pairs.
The fifth root must be real because you cant have just one imaginary root.
ection 1
If Frances can paint of a wall in 20 minutes, how long will it take her to paint a room with 4 walls?
60 minutes
100 minutes
400 minutes
500 minutes
Sue wakes up at 7:45 A.M. and jogs for 40 minutes. She then spends 45 minutes dressing for school before she catches the bus. At what time does Sue get on the bus?
Answer:
9:00
Step-by-step explanation:
if a bag has 22 orange 18 red and 8 blue marbles what is the probability that in one draw you will select a red marble?
Step-by-step explanation:
p(R)=18/48 is the probability of the question
The graph of a linear function is shown.
Which word describes the slope
Ty
O positive
• negative
• zero
• undefined
Answer:
C. zero
Step-by-step explanation:
The slope of horizontal line is always 0
Anniyah wants to order video games from Amazon. Each game cost $49.99 and shipping cost $5. Her momma will let her spend no more then $200, how many games could she buy?
Answer:
3 games
Step-by-step explanation:
she would still have over 40 dollars left over though
Nancy's morning routine involves getting dressed, eating breakfast, making her bed, and driving to work. Nancy spends ⅓ of the total time in the morning getting dressed, 10 minutes eating breakfast, 5 minutes making her bed, and the remaining time driving to work. If Nancy spends 35 ½ minutes getting dressed, eating breakfast, and making her bed, how long is her drive to work?
Answer: 26 minutes
Step-by-step explanation:
Assume that the total time spent in the morning which includes getting dressed, eating breakfast, making her bed, and driving to work is x.
Time getting dressed = ¹/₃x
Eating breakfast = 10 mins
Making bed = 5 mins
¹/₃x + 10 + 5 = 35 ½
¹/₃x + 15 = 35 ½
¹/₃x = 35 ½ - 15
¹/₃x = 20 ½
x = 20 ½ / ¹/₃
= 61.5 minutes
Total morning routine is is 61.5 mins
Time taken to drive to work is;
= 61.5 - 35 ½
= 26 minutes
If the height of Mount Everest is about 8.8 time 10 to the third power meters and the height of the Empire State Building is about 3.8 times 10 to the second power meters which of these statements is a true
Answer: C. Mount Everest is about 23 times as tall as the Empire State Building
Step-by-step explanation:
The options are:
A.There is no way to compare these heights
B.Mount Everest is about 40 times as tall as the Empire State Building
C.Mount Everest is about 23 times as tall as the Empire State Building
D.The Empire State Building is about 23 times as tall as Mount Everest
Mount Everest = 8.8×10^3 meters = 8800 meters
Empire State Building = 3.8×10^2 = 380 meters
Mount Everest is (8800 / 23) = 33 times as tall as the Empire State Building. Therefore, the correct option is C.
Answer:
Mount Everest is about 23 times as tall as the Empire State Building. Hope that helps!
what is -x + 1 = -7 i'm really stuck on this one
answer: is x=8
explanation:
-x+1=-7
-x=-7-1
-x=-8
since next to the x is a "one" we divide
x/-1=-8/-1
x=
The number of ducks swimming In a lake decreased by 1/4 between last year and this year. last year there were 60 ducks in the lake. What is the population this year? If you get stuck consider drawing a diagram.
Answer:
Given: Population of ducks in lake, last year is 60.
Also, the population of ducks this year decreased by 1/4 th over the last year.
So, the population of ducks this year is = 60*(1-1/4)
= 60*(3/4)
= 45
Therefore, the population of ducks this year is 45 ducks.
Wendy thinks the perfect chocolate chip cookie has 353535 chocolate chips for every 555 ounces of dough. Cookie Club makes batches of chocolate chips cookies with 100100100 chocolate chips and 151515 ounces of dough.
What will Wendy think about Cookie Club's cookies?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
They are too chocolatey.
(Choice B)
B
They are not chocolatey enough.
(Choice C)
C
They are just right.
Answer:
I would go with A.......
Answer:
i would go with B i got it from Khan
Step-by-step explanation:
hi this is pre alg!!! please help!!
What makes a problem a two-step equation?
A) The problem has two answers
B) The problem has three operations
C) The problem has two operations
D) The problem has two questions
Answer:
C) The problem has two operations
Step-by-step explanation:
PLEASE HELP!!!
I don't understand how to work this out...
if possible, please explain how you got your answer. It would be very helpful.
Thanks!!
9514 1404 393
Answer:
17.3%
Step-by-step explanation:
The rate of return is the net profit divided by the purchase price.
The purchase price was ...
(20 share) × ($30/share) = $600
The net proceeds from the sale were ...
proceeds = selling price - commission
= $710 -$6 = $704
So, the net profit is ...
profit = $704 -600 = $104
And the rate of return is ...
profit / investment = $104/$600 = 17.3%
Jenny is getting some snacks for her road trip.Her total for her items is $36.84.If the sales tax is 4%,how much is her total cost?
3 = y + 3*
/
6
0
9 1
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
The slope of the line is m = 14 / 17
The slope of a line is that the magnitude relation of quantity the quantity the number that y will increase as x will increase some amount. Slope tells you ways steep a line is, or what proportion y will increase as x will increase. The slope is constant (the same) anyplace on the road.Slope = rise/runIf y represents the vertical direction on a graph, and x represents the horizontal direction, then this formula becomes:Slope = (Change in y)/(Change in x)The line representing "rise" and " run" is given below
The vertical distance is said to be "rise" and from the graph it is equal to 14.
The horizontal distance is said to be "run" and from the graph it is equal to 17 .
According to the slope formula , we get
m = 14 / 17
Learn more about slope here :
https://brainly.com/question/13014960
#SPJ9
Science question pls help
Answer:
dayton is the closest to it.
find x (btw if you answer randomly to just get point imma report ur acc)
Answer:
x = 3
Step-by-step explanation:
..........................
Answer:
x=3
Step-by-step explanation:
the triangles are similar, set their congruent parts equal to one another (4/x=10/7.5). Cross multiply. Simplify.
remember to add 4 and 6 to get the full length of the larger triangle's side.
I WILL PICK BRAINLIST
Step-by-step explanation:
C.
π/9 is less than sqrt(9) / 3 which is 1. Also, this question is quite ambiguous, and the answer could be none, because sqrt(9)/3 can also be -1
1/3x + 5 (x equals -6)
Answer:
3
Step-by-step explanation:
1/3x + 5, x = -6
1/3(-6) + 5
-6/3 + 5
-2 + 5
3
A group of 12 friends are in line to see a play. It cost $15 for 4 people to see a play. How much will the group pay?
Answer:
$45
Step-by-step explanation:
3x4=12
15x3=45
Which polynomial function has a leading coefficient of 2, root -4 with multiplicity 3, and root 10 with multiplicity 1?
O f(x) = 2(x-4)(x-4)(x - 4)(x + 10)
O fx) = 2(x + 4)(« + 4)(« + 4)(-10)
O f) =3K – 4)(«-4)0x + 10)
O f()= 3(x + 4)(x + 4)(K- 10)
Answer:
f(x) = 2(x+4)(x+4)(x+4)(x-10)
Step-by-step explanation:
Here, we want to write a polynomial function with leading coefficient of 2, root - 4 with multiplicity 3 ( meaning it appears 3 times);
and root 10 with multiplicity 1
If x = -4
Then in linear form, we have x + 4
if x = 10, in linear form, we have x -10
So the polynomial is;
f(x) = 2(x+4)(x+4)(x+4)(x-10)
If triangle ABC is similar to triangle DEF, what is the value of x?
12 cm
36 cm
15 cm
5 cm
Answer:
x = 15 cmStep-by-step explanation:
If triangle ABC is similar to triangle DEF, then:
[tex]\dfrac{AC}{DF}=\dfrac{BC}{EF}[/tex]
Therefore:
[tex]\dfrac{x}{5}=\dfrac{12}{4}\\\\\dfrac{x}{5}=3\\\\x=15[/tex]
what percent is 18 of 20
Answer:
90%
Step-by-step explanation:
[tex]\frac{18}{20} = \frac{90}{100}[/tex] [tex]\frac{90}{100} =[/tex] 90%I hope this helps!
Answer:
90%
Step-by-step explanation:
% itself means out of 100 so yea:
18/20 times 100
1800/20
90/100
90%
Another way u could do is just multiply a number that would make 20 into 100, so:
(18/20)5/5
90/100 = 90%
A French class has a total of 26 students. The number of females is 6 less than the number of males. How many males and how many females are in the class?
Answer:
Step-by-step explain:
total-females=males
26-6=20
there are 20 males in the class.
I got subtraction because it says less females.
PLEASE HELP FAST ILL GIVE BRAINLIST! ITS MULTIPLE CHOICE
The cost of a family dinner was $95.00. If a tip of 20% is left, want is the total amount spent?
Answer:
$114
Step-by-step explanation:
20% of 95.00 = 1/5 of 95, which is 19.
Total amount spent= Cost of dinner + tax = 19.00 + 95.00 = 114
Hope this helps!
Have a great day :)
Sarah purchased 2 pounds of cheese for $8.00. Arun purchased ½ pound of cheese for $2.50. How much more does Arun pay per pound of cheese?
Answer:
$1 more per pound
Step-by-step explanation:
Sarah: 8/2= $4
Arun: 2.5*2 = 5
Arun pays $1 more per pound of cheese than Sarah
Answer:
2.50x2=5
Step-by-step explanation:
2.0+2.0=4
.50+.50=1
4+1=5
Write a function in any form that would match the graph shown below.
Answer:
f(x) = 2x^3 + 3x^2 - 4x - 6
Step-by-step explanation:
The graph that we can see above is the graph of a cubic equation
A cubic equation is one in which the highest polynomial power is 3
An example of this can be seen below;
f(x) = 2x^3 + 3x^2 - 4x - 6