The potential rational roots must be factors of -6/15. These factors are ±1, ±2, ±3, ±6, and ±10.
The rational root theorem states that all rational roots of a polynomial equation must be factors of the constant term divided by factors of the leading coefficient.
In the case of the polynomial f(x)=15x^11-6x^8, the constant term is -6 and the leading coefficient is 15. This means that all potential rational roots must be factors of -6/15. These factors are ±1, ±2, ±3, ±6, and ±10. Therefore, the potential rational roots of f(x)=15x^11-6x^8 are ±1, ±2, ±3, ±6, and ±10.
The rational root theorem is an important tool for solving polynomial equations. It allows us to quickly determine all the potential rational roots of a polynomial equation, which can then be used to solve the equation. In the case of f(x)=15x^11-6x^8, the potential rational roots can be used to determine the factorization of the polynomial. For example, if we were to factorize f(x) using the potential rational roots ±1, ±2, ±3, ±6, and ±10, we would get[tex](x+1)(x-1)(x+2)(x-2)(x+3)(x-3)(x+6)(x-6)(x+10)(x-10)[/tex]. This factorization can then be used to solve the equation.
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Anyone know how to do this?
Answer:
y = -1/2 x + 25
The relationship is linear, but it takes some doing.
Step-by-step explanation:
Remark
This is a very interesting problem. I've never seen one quite like it. There is probably a much better way of solving it, but I did not discover it.
You have to introduce another variable which I labeled as z.
Let time = x
Let distance = y
Let the step away from the starting point = z which will be the same for x and y. So 18 and 16 the step away from the start is 3.
So as the time increases, the distance decreases. What we are going to do sort of resembles a parametric relationship.
t starts with 10
x = 10 + 4*(z - 1) and increases by 4 with each step
d starts with 20 and decreases by 2 with each step
y = 20 - (z - 1)*2
Now solve for z in each of the forgoing equations.
x = 10 + 4z - 4
x = 6 + 4z
x - 6 = 4z
(x - 6)/4 = z
y = 20 - 2z + 2
y = 22 - 2z
y - 22 = - 2z
(y - 22)/-2 = z
Since the zs must be kept the same, the left sides are equated
(x - 6)/4 = (y - 22)/-2 Cross multiply
-2(x - 6) = 4(y - 22) Remove the brackets.
-2x + 12 = 4y - 88 add 88 to both sides.
-2x + 100 = 4y Switch the sides
4y = - 2x + 100 Divide by 4
y = -1/2 x + 25
Now for sure you have to try this.
Let x = 14
y = -1/2 * 14 + 25
y = -7 + 25
y = 18
Try another one
Let x = 22
y = -1/2 * 22 + 25
y = - 11 + 25
y = 14
Those two at least check.
Angles in circle solve for each variable
Answer:
Step-by-step explanation:
The equation of the line shown in the graph is y = ?.
Answer:
y=5x-5
Step-by-step explanation:
we start from -5 and go rise/run so its 5
Amelia has 3 gallons of paint .Mason have 10 quarts .How many more pints of paint does AMELIA have then mason.
Answer:
4 Pints
Step-by-step explanation:
According to the scenario, calculations are as follows,
As we know, 1 gallon = 8 Pints
1 Quarts = 2 Pints
So, Amelia = 3 Gallons = 3 × 8 Pints = 24 Pints
Mason = 10 quarts = 10 × 2 Pints = 20 Pints
So, Number of more pints Amelia has = Amelia number of pints - Mason number of pints
= 24 pints - 20 pints
= 4 Pints
9c + 1 > 10 .
i don’t get this
Answer:
c>1
Step-by-step explanation:
9c>10-1
9c>9
9c/9>9/9
c>9/9
so,
c>1
Hope that helps!
Plz mark brainliest
Help! Quickly!
I beg thy to help.
Answer:
I think that B is the correct answer , 353.3 ft2 .
Good luck ^^
9 4/5 divided by 3 2/11
the letters in the word “SOCCER” are cut apart and placed in a bag. one letter is drawn from the bag. what is the probability of the choosing letter c?
Answer:1/3
Step-by-step explanation: You have 6 letters in SOCCER. There are 2 letters that are in the word soccer that are C. So, 2/6 would simplfy to 1/3 which would mean that you have a 1/3 chance of getting the letter c
25 points and brainiest
2. If you get paid hourly, making $1000 a week, but work 65 hours per week how much are you making hourly?
3. If you get paid hourly, making $25.00 an hour, but work 20 hours’ overtime per week, what is your weekly pay?
4. If you get paid hourly at a job making $25.00 an hour, but have to call in sick for one day of work, how much would you get paid at the end of the week assuming you normally work 40 hours and get no sick leave.
Find the value of 4 of 5 of 1000
25 4
with step by step explaination please thank you
Answer:
4 of 5 = 4/5
4/5 of 1000 = 1000/5×4 = 200×4 = 8004/5 of 4 = 4/5×4 = 16/5 = (3.2)4/5 of 25 = 25/5×4 = 5×4 = 201. 48 cm
2. 30 cm
3. 24 cm
4. 54 cm
what's the answer
Step-by-step explanation:
The answer is definitely 2.
which is 30 cm
Find the missing angle.
Answer:
0.76 or 0.8
Step-by-step explanation:
BRAINLY TO WHOEVER CAN HELP PLS OMG ASAP
Answer:
1: C
2:A
Step-by-step explanation:
Dialation is just the multiplucation of the size. If the original point is 2, 4 dialated to 2 is would be 4, 8. Basiccly just multiply by 2 in this example.
The Venn diagram shows the results of two events resulting from rolling a number cube.
Events C and D are____.
conditional and dependent
independent
dependent
conditional
Events C and D are conditional and dependent events.
What can we say about events C and D?By looking at the Venn diagram, we can see that C is the event where the outcome of the dice is even.
While D is the event where the outcome is odd.
So events C and D have no common elements.
Now, the value of these events is related in any way?
if C is true (the number is even) then D must be false.If C is false, then D must be true.Then the events are dependent and conditional, the correct option is the first one.
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Anna's toy car traveled 0.7 meters. Hector's toy car traveled 0.72 meters. Whose car traveled farther?
Answer:
hector's toy
Step-by-step explanation:
it traveled .02 m farther
Answer:
Step-by-step explanation:
Think money
which is more 70 cents or 72 cents?
The answer should be 72 cents.
So .72 - .70 = 0.02
.72 is larger.
what is the slope of the line that passes through the points (5,-5)and(4,2)
Answer:
-7
Step-by-step explanation:
To find the slope of an equation, you need to plug the coordinates into the slope formula.
y2 - y1/ x2 - x1
2 - (-5) / 4 - 5
= 7 / -1
= -7
Please help me it’s due in 1 hour
Answer:
There were 39 children at the party
Step-by-step explanation:
Here, we want to know the number of children at the party
To do this, we have to add the y-values ( frequencies of the age grades)
We have this as;
8 + 8 + 7 +10 + 6 = 39
Please help if I don’t pass I’ll have summer school
Answer:
The second one
Step-by-step explanation:
A visual for law of sines can be found below
Sin (an angles) over its opposite side length is equal to sin ( a different angle) over its opposite side length
In the given triangle we are given side length BC and side length AB
we are also given AB's opposite angle (40)
And we need to find side length BC's opposite angle (A)
That being said we are given enough information to set up an equation using the law of sines
Remember angle A's opposite side length is 16 and the angle that has a measure of 40 degrees' opposite side length is 12
so the equation would look like...
[tex]\frac{sin(40)}{12} =\frac{sin(A)}{16}[/tex]
WILL GIVE BRAINLIEST Divide
Answer:
38/5
Step-by-step explanation:
Answer:
[tex]\frac{38}{15}[/tex] or/and [tex]2 \frac{8}{15}[/tex]
Step-by-step explanation:
A fair coin is flipped twice. H is recorded for heads and T for tails after each flip. The notation for conditional probability is P(H on 2nd flip|H on 1st flip). Which notation is the probability of the two events being not independent?
Answer:
The Notation for each event Not been independent = P( HT ) or P( TH )
Step-by-step explanation:
when A fair coin flipped ; P( H ) = 0.5 and P( T ) = 0.5
Hence when it is flipped twice the possible outcome = 4
= HH , HT , TT, TH
Since Notation for conditional probability = P ( HH ) this shows that each flip is independent
The Notation for each event Not been independent = P( HT ) or P( TH )
Answer: P(H on 2nd flip|H on 1st flip)=P(H on 2nd flip)
Step-by-step explanation:
Which of the following is the complex conjugate of 8- 3?
8- 3
8+3
8 3
3+ 18
Answer:
8 + [tex]\sqrt{3}[/tex]
Step-by-step explanation:
A complex conjugate is found when the signs differ, but the numerical elements remain the same.
No Explanation Please Don't Answer
8) Crystal and Kelly are selling pies for a school fundraiser. Crystal sold 12 apple pies and 9 lemon meringue pies for $129. Kelly made $92 by selling 5 apple pies and 8 lemon meringue. Find the cost of one apple pie and one lemon meringue pie.
HELPPP WILL MARK BRAINLIEST
Answer:
7 1/6
Step-by-step explanation:
Area is length x width
Find area of 1 container:
Area = 5 1/2 x 1 2/3 = 11/2 x 5/3 = 55/6 = 9 1/6 square yards.
Multiply the area on 1 container by total containers (9)
9 1/6 x 9 = 55/6 x 9 = 495/6 = 82 1/2 square yards
The answer is 82 and 1/2 square yards
If you place a 26-foot ladder against the top of a building and the bottom of the ladder is 20 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot.
Answer:
16.6
Step-by-step explanation:
somtimes you gotta pay attention to you're math teacher
Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Hypotenuse² = Base² + Length²
The height of the building is 32.8 feet
What is the Pythagorean theorem?Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We have,
If you place a 26-foot ladder against the top of a building and the bottom of the ladder is 20 feet from the bottom of the building.
This can be written as,
Hypotenuse = 26 feet
Base = 20 feet
Height = height of the building
Now,
Applying the Pythagorean theorem.
Hypotenuse² = Base² + Length²
26² = 20² + Height²
Height² = 676 + 400
Height² = 1076
Height = √1076
Height = 32.8 feet
Thus,
The height of the building is 32.8 feet
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Find the volume of the figure below. Leave your answer in terms of π.
Answer: 1539π cubic inches.
Step-by-step explanation:
In the figure, we have a hemisphere joined with a cylinder of the same diameter 18 inches.
Radius = 9 inches (half of diamter)
Volume of hemisphere = [tex]\dfrac23 \pi r^3[/tex]
Volume of cylinder = [tex]\pi r^2 h[/tex], where r= radius h= height
Volume of hemisphere= [tex]\dfrac{2}{3}\pi (9)^3=486\pi in.^3[/tex]
Volume of cylinder = [tex]\pi (9)^2 (13)=1053\pi\ in.^3[/tex]
Combined volume = 486π+1053π=1539π cubic inches.
Hence, the volume of the solid = 1539π cubic inches.
What is the result of factoring out the GCF from the expression 24 + 36
Answer:
the gcf of that is 10.
Step-by-step explanation:
Find the perimeter of the figure.
Answer:
97
Step-by-step explanation:
The perimeter is adding each side together, the equation is 3+33+15+33+3+10
work out the median, range and mode
median= 7 middle part
range=7 because 8-1 or highest minus lowest numbers
mode= you got the answer
x - 10.2 > 5.3
PLSSSSSS HELP ME SOLVE THIS PROBLEM!!!!...
Answer:
x>15.5
Step-by-step explanation:
x - 10.2 > 5.3
Add 10.2 to both sides
x-10.2+10.2>5.3+10.2
Simplify getting the answer of
x>15.5