Answer:
Option A
Step-by-step explanation:
Given function is,
[tex]f(x)=x^4-x^2-6[/tex]
Hint: [tex](-1=-3+2)[/tex] and [tex](-3)(2)=-6[/tex]
[tex]f(x)=x^4-3x^2+2x^2-6[/tex]
[tex]=x^2(x^2-3)+2(x^2-3)[/tex]
[tex]=(x^2+2)(x^2-3)[/tex]
[tex]f(x)=(x^2+2)(x^2-3)[/tex] is the factored form of the given function.
Option A will be the correct option.
HELP ASAP I WILL MARK BRANLIEST!!!
This probability distribution shows the
number of times a group of people takes
selfies before liking them.
Retakes
o
1
2
3
4
Frequency
27
29
18
14
12
Using this distribution, find the probability that a
person will retake their sexfie exactly 3 times.
p = [?]
Answer:
0.14
Step-by-step explanation:
0.14 is the probability that a person will retake their sexfie exactly 3 times.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
Given
Total frequency = 27+29+18+14+12 = 100
frequency of 3 retakes = 14
p(r) = frequency of 3 retakes/ Total frequency
p(r) = 14/100 = 0.14
To learn more about probability refer to:
https://brainly.com/question/13604758
#SPJ2
You take out a simple interest loan with a principal of $1500. Your interest rate is
5.6% and your loan term is 4 years.
What is the total interest you will pay?
What is the total you will pay including your principal and interest?
Answer: See explanation
Step-by-step explanation:
Interest = Principal × Rate × Time
Interest = $1500 × 5.6% × 4
= $1500 × 0.056 × 4
= $336
The total amount that will be paid will be:
= Principal + Interest
= $1500 + $336
= $1836
if topic A is very sensitive, while topic B is not sensitive at all, which of the following statements is most likely true when surveying people on the two topics?
A. Topic b requires an anonymous answer form, while topic A does not.
B. Both topic A and topic B require an anonymous answer form.
C. Topic A requires an anonymous answer form, while topic B does not.
D Neither topic A nor topic B requires an anonymous answer form.
Answer:
C.
Step-by-step explanation:
Most people do not want personal information about sensitive topics revealed about themselves, so Topic A requires anonymity.
With non-sensitive topics, people are usually comfortable with revealing their identity, so Topic B doesn't require anonymity.
Help with #9 pleaseeee
Answer:
9' - 1.29"
Step-by-step explanation:
Total rise = 5' - 2"
Total run = 7' - 6"
1' = 12" = 1 feet = 12 inches
5' = 5 * 12 = 60"
3' = 7 * 12 = 84"
Total rise = 60" + 72" = 62"
Total run = 84" + 6" = 90"
Length of stringer = hypotenus
Hypotenus = √(total rise² + total run²)
Hypotenus = √(62² + 90²)
Hypotenus = 109.28860"
Convwrting back to feet and inches
= 9' - 1.29"
How do your write a feaction with a denominator of 20 as a decimal?
Answer:
Step-by-step explanation:
What is 20 as a decimal? To write 20 as a decimal you have to divide numerator by the denominator of the fraction. 20 is not a fraction so it is a decimal already. And finally we have: 20 as a decimal equals 20
Please help faster please
If f(x) = 3x - 2 and g(x) = -x + 4, find (g o f)(x).
Answer:
-3x + 6
Step-by-step explanation:
(gof) = -(3x-2)+4
= -3x + 2 + 4
= -3x + 6
you made a batch of 24 cookies for school your brother ate 7 of them without asking you. What fraction of your cookies are left?
will the area be the same or different?
Is it possible to construct a triangle with the given side lengths?
1 ft, 6 ft, 9 ft
Yes or no?
Select the correct answer from each drop-down menu
The table shows the number of books Lucy borrowed from the library each month for a year
Month Number of Books
Month
Number of Books
January
14
6
February
8
July
August
September
19
March
16
12
April
14
October
May
8
November
7
June
7
December
Lucy bomowed the most books in
There were months in which she borowed fewer than 10 books
Answer:
6 Months where she borrowed less than 10,
and he borrowed the most books in August.
Step-by-step explanation:
Domain and range
What is the Domain and Range of the Relation
y = -5
Answer:
D: {all reals}
R: {-5}
Step-by-step explanation:
What is the sum? Complete the equation.
-15 + (-15)
Answer:
-30
Hope this helps!
Order the numbers from least to greatest 41/50, 0.83, 80%
Answer:
80%, 41/50, 0.83
Step-by-step explanation:
80% = 0.80
41/50 = 0.82
0.83 = 0.83
What number is the best prediction! Please help :(
Answer:
28
Step-by-step explanation:
dau coroana
daca il faceti
Answer:
I give the crown
if you do
Step-by-step explanation:
Answer:
what does that mean?
Step-by-step explanation:
help me please i need a lot of help
Answer: 3 or 9/12
Step-by-step explanation:
3/4 to 0.75
0.75 * 4 = 3
A teacher has a bag of marbles. There are 6 red, 6 blue, 8 green7 purple, and 8 yellow marbles in the bag. As the students enter the classroom, they draw a marble and keep it. If the first student in the room draws a yellowand the second draws a purple, what is the probability that the third student will draw a blue?
25%
18%
22%
33%
Answer:
18%
Step-by-step explanation:
Hope this helps :))
Answer:
the answer is 18%
hope this helps
How do we find the perimeter of a shape 20mm 10mm 20mm 60mm 20mm
Answer:
130mm
Step-by-step explanation:
I'm pretty sure you mean each of the sides is this length... so I'll go off of that. 20+10+20+60+20 is the addition for this problem.
20+10+20+60+20=130 is the answer.
Find the exact circumference of a circle with the given radius.
7 feet
C=
O 771 ft.
1471 ft.
02771 ft.
Answer:
43.98
Step-by-step explanation:
i was doing a problem like that on my math paper as well
Which series is convergent? Check all that apply.
Sigma-summation Underscript n = 1 Overscript infinity EndScripts StartFraction 2 n Over n + 1 EndFraction
Sigma-summation Underscript n = 1 Overscript infinity EndScripts StartFraction n squared minus 1 Over n minus 2 EndFraction
Sigma-summation Underscript n = 1 Overscript infinity EndScripts (one-fifth) Superscript n
Sigma-summation Underscript n = 1 Overscript infinity EndScripts 3 (StartFraction 1 Over 10 EndFraction) Superscript n
Sigma-summation Underscript n = 1 Overscript infinity EndScripts StartFraction 1 Over 10 EndFraction (3) Superscript n
There are 2 correct answers
Answer:
Step-by-step explanation:
c
Plzzzzz help for a brainly
Answer:
20cmStep-by-step explanation:
120/6=20
Answer:
20cm
Step-by-step explanation:
120/6 = 20
HELP HELP HELP HELP
What is the equation of the trend line in the scatter plot ?
Answer:
y = (4/7)x + 3
Step-by-step explanation:
rise = 7 - 3 = 4
run = 7 - 0 = 7
slope = rise/run = 4/7
y-intercept = 3
---------------------
Slope intercept form is
y = mx + b
m is the slope = 4/7
b is the y-intercept = 3
the equation is
y = (4/7)x + 3
Find the length of the third side. If necessary, write in simplest radical form.
3√5
Answer:
3
Step-by-step explanation:
We can use the Pythagorean thorem to solve this question
leg = [tex]\sqrt{hypotenuse^2 - leg^2} = \sqrt{(3\sqrt{5})^2 - 6^2} = \sqrt{45 -36} = \sqrt{9} = 3[/tex]
An airline flying to a Midwest destination can sell 20 coach-class tickets per day at a price of $250 and ten business-class tickets per day at a price of $750. It finds that for each $10 decrease in the price of the coach ticket, it will sell four more per day, and for each $50 decrease in the business-class price, it will sell two more per day. What prices should the airline charge for the coach and business-class tickets to maximize revenue? [Hint: Let x be the number of $10 price decreases for coach tickets and y be the number of $50 price decreases for business-class tickets, and use the methods in this example and this example for each type of car.]
Solution :
Let x = number of coach class tickets sold per day on $ 10 reduced price
y = number of the business class tickets sold per day on $ 50 reduced per price.
Number of the coach class tickets sold = 20 per day at a price of $ 250
Number of the business class tickets sold = 10 per day at a price of $ 750
Decrease in the price of coach class tickets by $ 10 increases the number of tickets sold by 4 per day
Decrease in the price of business class tickets by $ 50 increases the number of tickets sold by 2 per day.
Therefore, the coach price, p(x) = 250 - 10x
Business class price, p(y) = 750 - 50y
Coach tickets, q(x) = 2 + 4x
Business class tickets, q(y) = 6 + 2y
Revenue R(x, y) = p(x) q(x) + q(y) q(y)
R(x, y) = (250-10x)(20+4x)+(750-50y)(6+2y)
R(x) = (250-10x)(0.4)+(20+4x)(-10)+0 = 0
1000-40x-200-40x=0
80x = 800
x = 10
R(y) = 0 + (750 - 50y)(0.2) + (6+2y)(-50) = 0
1500 - 100y+(-300-100y) = 0
200 y = 1200
y = 6
P(x) = 250 - 10(10) = $ 150
P(y) = 780-50(6) = $450
q(x) = 20 + 4(10) = 60
q(y) = 6 + 2(6) = 18
Maximum revenue = 150 x 60 + 450 x 18
= 9000 + 8100
= $ 17100
the difference of four times a number and 23 is 5 less than the number. Find the number
Answer:
I think it could be 28 because 28 minis 5 is 23
A woman is thrice as old as her daughter. 12 years hence, she will be twice as old as her daughter find their present age.
help me
with explanation !!!
Answer:
Their present ages are:
Her daughter's age = 12 years Women's age = 36 yearsStep-by-step explanation:
Given that:
A woman is thrice as old as her daughter. 12 years hence, she will be twice as old as her daughter.To Find:
Their present ages.Let us assume:
Her daughter age be x. Women's age = 3xAfter 12 years:
Her daughter's age = x + 12Women's age = 3x + 12Finding their present ages:
According to the question.
⇒ 3x + 12 = 2(x + 12)
⇒ 3x + 12 = 2x + 24
⇒ 3x - 2x = 24 - 12
⇒ x = 12
Their present ages:
Her daughter's age = x = 12 years Women's age = 3x = (3 × 12) = 36 yearsHow so i slove 9z-63=0
A company has machinery calibrated for a certain widget to manufacture the product so that all of the products will average out to a mean weight of 7 grams and a standard deviation of 2 grams. What would you expect as a sampling distribution if you were to take repeated samples of 100 widgets?
Answer:
By the Central Limit Theorem, the sampling distribution of repeated samples of 100 widgets would be approximately normal with mean 7 grams and standard deviation 0.2 grams.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean weight of 7 grams and a standard deviation of 2 grams.
This means that [tex]\mu = 7, \sigma = 2[/tex]
Sample of 100:
This means that [tex]n = 100, s = \frac{2}{\sqrt{100}} = 0.2[/tex]
What would you expect as a sampling distribution if you were to take repeated samples of 100 widgets?
By the Central Limit Theorem, the sampling distribution of repeated samples of 100 widgets would be approximately normal with mean 7 grams and standard deviation 0.2 grams.
Two parallel lines cut by a transversal are shown. What is the measure of X"?
9514 1404 393
Answer:
x = 10
Step-by-step explanation:
The marked angles are "alternate interior" angles, so are congruent.
(x° +20°) = (4x° -10°)
30 = 3x . . . . . . . . . . . . . . . divide by °, add 10-x
10 = x . . . . . . divide by 3