Sketch the graph of a 4th degree polynomial function f(x) such that f(- 3) = 0, f(- 1) = 0, f(1) = 0 , and f(3) = 0 and f(x) is increasing at extreme left.
Answers
Answer:
see attached
Step-by-step explanation:
For each listed root x=p as signified by f(p) = 0, the function has a factor (x-p). The given roots and the given end behavior tell us the factored form is ...
f(x) = -(x +3)(x +1)(x -1)(x -3)
__
The graph is attached. It shows the function increasing at extreme left, crossing the x-axis at x=-3, and again at x=-1, x=1 and x=3. Since it crosses an even number of times, the right-side end behavior is "decreasing" toward negative infinity.
Related Questions
A litter of puppies consists of black puppies and white puppies. A
puppy is randomly selected and removed from the litter. Then another
random selection is made from the remaining puppies.
Event A: The first
selection is a black
puppy.
Event B: The second
selection is a white
puppy.
Is A dependent on B?
Answers
We want to see if the first selection is dependent on the second selection, we will see that no, the first selection can not depend on a selection that did not happen yet.
So the situation is:
We have a group of puppies, some are black, some are white.
Let's say that there are N puppies in total, n₁ are black, n₂ are white, such that:
n₁ + n₂ = N
Now we have that the first selection, event A, is a black puppy. The probability is just the quotient between the number of black puppies and the total number of puppies:
q = n₁/N
Then now we have:
N - 1 puppies in total.n₁ - 1 black puppiesn₂ white puppies.Now for the second selection, event B, the probability of selecting a white puppy is:
P = n₂/(N - 1)
Notice that because there are fewer black puppies than before (because we took one) the denominator decreases, thus, the probability of getting a white puppy increases.
So clearly event B depends on event A.
Now the question is:
Is A dependent on B?
No, A can not depend on event B, because event A happens first. The probability of the first event is always q = n₁/N.
If you want to learn more, you can read:
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In a certain year, 20% o RSM AMC 10 participants were invited to compete in American Invitational Mathematics Examination. How many RSM students participated in AMC 10 that year if 153 of them were invited to take part in AIME
Answers
Answer:
765 students
Step-by-step explanation:
x- total number of students
20% of x=153
20/100=153/x
20x=15300
x=765
Therefore, 765 students
The total number of RSM students participated in AMC 10 that year if 153 of them were invited to take part in AIME is, 765.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
According to the given information, 20% of RSM AMC 10 participants were invited to compete in AIME.
If 20% of students are 153 then 100% of RSM students participate in AMC10 is given as;
x be the total number of students
Therefore,
20% of x=153
20/100=153/x
20x=15300
x=765
Therefore, 765 students.
Learn more about the unitary method, please visit the link given below;
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please help im failing
Answers
Statement
∠1 = ∠2
Reason(1): l║m, Corresponding angles are congruent
Reason(2): Corresponding angles are congruent (Postulate)
Hope this can help
We have to prove how j||k?
As <1=<2 Theya are opposite interior angles .<1 and <4 are corresponding angles so they are equal .Hence
J||K ProvedA number added to five cubed.
Write an equation
Answers
Answer:
x+5^3
Step-by-step explanation:
Let x be the number
cubed is raised to the third power
x+5^3
there are 30 men and 15 of them have facial hair how much percentage would that be
Answers
The emotional atmoshere a reader sences in a poem or story is referred toas its
Answers
HURRY for Brainlist
The drama club is printing t-shirts for its 21 members. The printing company charges a certain amount for each shirt plus a setup fee of $40.
Write an equation to represent the total cost for printing the shirts.
Question 1 options:
C = 21 + 40t
C = 21t - 40
C = 21t + 40
C = 21t
Answers
y = 2.50x + 7.50
Domains:
0, 2, 3, 4, 5, 6, 7, 8, 9, 10
As you can’t ride 0.2 or 0.7 of a ride, for example, and you only have time for ten rides. Plus you have enough money to ride ten rides
For the drama club one:
C = 21t + 40
Is the correct answer as 40 is a set value and is not influenced by the amount of club members there are, x is the amount per shirt, and C is the cost
C = 21t + 40
Explanation:
Since the fee is 40 it’s +40 which in turn means doesn’t get affected by t hope this helps
what is 5x486??????????????????????????
Answers
x 5
___
2430
the answer is 2430
Answer:
the answer is 2,430
Step-by-step explanation:
5×486=N
=2,430
multiply pi with 10,000
:>
Answers
Answer:
3.14 x 10,000 equals 31,400
Step-by-step explanation:
Answer:
31415.9
Step-by-step explanation:
yeah-ya............. right?
Help me with this question
Answers
Answer:
Is it for a test
Step-by-step explanation:
The fraction 7/12 is found between which pair of numbers on a number line?
Answers
Answer:
B
Step-by-step explanation:
[tex]\dfrac{13}{24}< \dfrac 7{12} < \dfrac 34[/tex]
I GIVE BRAINLIST ON ALL MY QUESTIONS !!
solve the system of equations using substitution
y= 2x + 4
2x - y =6
A) (2, 8)
B) (2, -8)
C) (10, 24)
D) no solution
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Answer is D)
no solution
HelPpPpPpPpPpPpPpPpppppp
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Answer:
Your answer is C y= (2)/(3)x+(3)/(2)
i need help on this last question
Answers
Given that ∠3≅∠5 .
Which theorem proves that d∥e?
alternate exterior angles theorem
converse of the alternate interior angles theorem
converse of the alternate exterior angles theorem
alternate interior angles theorem
Answers
By alternate interior angles theorem ∠3≅∠5, d║e. Therefore, option D is the correct answer.
From the given figure ∠3≅∠5.
What are alternate angles?The alternate exterior angle theorem states that if two lines are parallel and are intersected by a transversal, then the alternate exterior angles are considered as congruent angles or angles of equal measure.
From the given figure, 46° + ∠3 =180°
⇒ ∠3 =134°
∠3 = ∠5 =134° (alternate interior angles)
By alternate interior angles theorem ∠3≅∠5, d║e. Therefore, option D is the correct answer.
To learn more about the alternate interior angles visit:
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Please help me with this homework
Answers
Answer:
B) y=3x-2
Step-by-step explanation:
The y-intercept would be -2, as you can see on the graph. Also, the slope would be 3. Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept. Now you can plug in with numbers. y=3x-2.
Answer:
Is the answer you put correct? if not, i'll put it down underneath step-by-step.
If you're trying to find the y-intercept (its helpful), go to the 0 on the graph and try to find where the crosses (hint: y=-2). I think b is correct, either b or d. because y=-2 and those two only have 2 in them. Happy to help if i did!
You can give the other one brainliest
Ms. Apple is expanding her restaurant in Kenton, Oklahoma. She has enough
booths to seat up to 40 people. She is ordering tables for seating to fill the newly
added on space. Each table can seat up to 6 people, and she plans to seat up to 125
people in the dining area. Write an inequality that Ms. Apple can use to determine
the number of tables (1) that she needs to order. How many tables does she need
to order?
Answers
Answer:
She needs 16 tables because 40 divided by 6= 8 thne you would do the amout of people and the tables so you would do 125 divided by 8 and you would get 15.625 and if you round it you get 16
Francesca tried to evaluate an expression. Here is her work: 3(5)2–18÷3 = 3(25)–18÷3 = 75–18÷3 = 57÷3 = 19 Is Francesca's work correct?
Answers
Answer:
Nope. Moltiplication (and thus divisions) has to be done before any addition or subtractions, unless parenthesis indicate otherwise.
[tex]3(5)^2 - 18\div 3 = 3(25) - 6 = 75-6=69[/tex]
Greg's garden shop sells oak tree saplings for 24.90 dollars. Employees receive a discount of 30 percent off the regular price. How much would an employee pay for an oak tree sapling?
Answers
Answer:
$17.43
Step-by-step explanation:
30% of 24.9 is 7.47, subtract 7.47 from 24.9 and you get 17.43
Graph this inequality:
y ≤ 1/4x
Answers
Cho hàm số y = (m + 1)x + 3 có đồ thị là đường thẳng d1 và y = 2x - m
có đồ thị là đường thẳng d2
a) (1,5 đ) Tìm giá trị m để d1 song song với d2.
b) (1,5 đ) Với giá trị m tìm được ở câu a, vẽ đồ thị 2 hàm số trên cùng một mặt
phẳng tọa độ.
c) (0,5 đ) Tìm khoảng cách giữa hai đường thẳng trong câu b
Answers
Answer:
What language is this
Step-by-step explanation:
Find the value of each variable.
X=?
Answers
Answer:
x=3
Step-by-step explanation:
The equation is x² + 5x = 24, so 3² +15 would be the perfect match. This is because 9+15=24.
Hello can someone pls help me with this
Answers
Answer:
simple y=5x
Step-by-step explanation:
This is because y and x are the same because anything times 0 is 0 and when x becomes 1, 1*5=5 and that continues the chain
Factorize the following Equation and show your work
x^{2} - 10x +25
Answers
Answer:
(x-5)(x-5)
Step-by-step explanation:
x^2 factors into two binomials, the square root of 25 is 5 (-5*-5=25), -5+-5=-10, think of the big and the little equal the middle to help deal with these types of problems. hope I have helped.
Elliot purchased 3 trick cameras and 4 fake snakes and spent a total of $40. Kaci bought 7 trick cameras and 8 fake snakes, and her total was $85. Let x be the price of the trick cameras and let y be the price of the snakes.
Answers
It can be deduced that the price of the trick cameras will be $5 and the price of the snakes will be $6.25.
Based on the information given, the equation to solve the question will be:
3x + 4y = 40 ...... i
7x + 8y = 85 ...... ii
Multiply equation i by 7
Multiply equation ii by 3
21x + 28y = 280
21x + 24y = 255
Subtract the equations
4y = 25
y = 25/4 = 6.25
Since 3x + 4y = 40
3x + 4(6.25) = 40
3x + 25 = 40
3x = 40 - 25.
3x = 15
x = 15/3 = 5
Therefore, the price of the trick cameras will be $5 and the price of the snakes will be $6.25.
Read related link on:
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someone please help me with this question
Answers
Answer:
your answer would be 9
Step-by-step explanation:
please mark this as brainlists
Answer:
9
Step-by-step explanation:
Because you do subtract 3 on both sides then divide 5x by 5 and 45 by 5
I NEED HELP WITH QUESTION 2 ONLY (GIVING BRAINIEST) 50 points
Is x = 6 a solution to the equation 5(x – 3) = x + 13?
Follow the steps to find out.
1. Rewrite the equation 5(x – 3) = x + 13 with 6 substituted for x. Write a question mark over the equal sign to show that you're testing to see if the equation is true. ANSWER: 6 (incorrect solution)
Steps:
Calculation: 5(6 - 3) = 6 + 13
Multiplication: 5 x 3 = 19
Checking the equality: 15 + 19
So there for the solution is not 6
2. Simplify both sides. Show your work.
3. Is x = 6 a solution to the equation? Why or why not? ANSWER: 6 is not the solution
Solving for x:
5(x – 3) = x + 13
5x - 15 = x + 13
5x - x = 13 + 15
4x = 28
x = 28/4
x = 7
Answers
Answer:
5x-15=x+13
Step-by-step explanation:
I don't know which equation you want me to simplify, so I assume it is, 5(x – 3) = x + 13?
What is the value of x? If necessary leave your answer in the simplest radical form.
Answers
Explanation:
This is a 30-60-90 triangle as shown by the angles. These types of triangles have their shortest leg opposite the smallest angle, and the connection between the short and long legs is
long = short*sqrt(3)
We see that the long leg is 16*sqrt(3) units long, which must mean the short leg is 16 units. This doubles to 32 when we go from short leg to hypotenuse
hypotenuse = short*2
how do you solve something like this?
Answers
Answer:
-24
Step-by-step explanation:
First, use the equation find the value of x. Then, substitutes the value of x into 9x+12.
HELP ANSWER ASAP
ANSWER???
Answers
A proportional relationship means that two or more things are directly proportional, or that the quantities increase or decrease according to equivalent ratios. We can state this proportional relationship with the formula, y = kx. Y and x here are the quantities that are proportional to each other.