write the factored equation of the following 6th degree polynomial with intercept at (0, 576)
Answers
Check the picture below on the left-hand-side.
we know the degree of the polynomial will be 6, so the exponents of its factors must add up to 6.
now, we know that at -4 and -1 it has an odd multiplicity, so the exponent of that factor could be either 3 or 1 hmmm so which is it?
well, when the graph cross the axis straight through, it'd be a multiplicity of 1, when it leans a bit on the axis, like it does on -4, the multiplicity will be larger than 1, so then
[tex]\begin{cases} x=-4\implies &x+4=0\\ x=-1\implies &x+1=0\\ x=3\implies &x-3=0 \end{cases}\qquad \implies a\stackrel{odd\qquad odd\qquad even}{(x+4)^3(x+1)^1(x-3)^2}=y \\\\\\ \stackrel{\textit{we also know that}}{x=0\qquad y=576}\implies a(0+4)^3(0+1)(0-3)^2=576\implies a(64)(1)(9)=576 \\\\\\ 576a=576\implies a=\cfrac{576}{576}\implies a=1~\hfill \begin{array}{llll} 1\stackrel{odd\qquad odd\qquad even}{(x+4)^3(x+1)^1(x-3)^2}=y \\\\\\ \boxed{(x+4)^3(x+1)^1(x-3)^2=y} \end{array}[/tex]
Check the picture below on the right-hand-side
Related Questions
If six chocolate bars cost £3. 80 how much is for 5
Answers
Answer:
5 chocolate bars cost 3.15 (i don't have that currency symbol on my keyboard)
Step-by-step explanation:
First, let's find out what one costs, so it'll be easier.
3.80/6=0.63
Multiply the amount for one chocolate bar by five:
0.63*5=3.15
And there you go! 5 bars cost 3.15
I hope this helped!
Answer:
£4.56
Step-by-step explanation:
5 chocolate bars= £3.80
1 chocolate bar= £3.80 / 5 = £0.76
Therefore, 6 chocolate bars= £0.76 x 6 = £4.56
Answers
A.) 5.9
B.) 7.3
C.8.1
D. 5.8
Answers
Answer:
The choice A) 5.9
Step-by-step explanation:
[tex] \sin(36) = \frac{x}{10} \\ \\ 0.587785 = \frac{x}{10} \\ \\ x = 10 \times 0.587785 \\ \\ x = 5.87785 \\ \\ x = 5.9[/tex]
I NEED HELP, PLEASE?
A) CD is an altitude of ΔABC
B) AE is a median of ΔABC
C) AD is an altitude of ΔABC
D) AD is an median of ΔABC
Answers
Answer:
option B and Option C are correct since
AE divides BC into 2 equal parts so AE is Median of ∆ABC
AD makes a 90° Angle with BC Therefore AD is Altitude.
Solve for the value of r.
180= (6r-4) +94
Answers
Answer:
r=15
Step-by-step explanation:
180= 6r-4+94
180 = 6r+90
180-90 = 6r
90=6r
r=90/6
r=15
Answer:
r=15
180= 6r-4+94
180 = 6r+90
180-90 = 6r
90=6r
r=90/6
r=15
Step-by-step explanation:
Brainleist
Sean is conducting an experiment with an isotope of a particular element that has a half-life of 4 hours. He begins with a sample of the isotope with a mass of 77 grams. He then measures the mass of the object every hour. What is the approximate mass of the sample after 24 hours?
A.
4,928 grams
B.
0. 0156 of a gram
C.
0. 6016 of a gram
D.
1. 2031 grams
Answers
Hope I help :)
Find P(4)
1/8
1/4
1/2
1
Answers
Answer:
Step-by-step explanation:
The correct answer in this case would be A. There is only 1/8th percent chance of the spinner landing on 4.
There are 8 sections in the circle. So our denominator will be 8. We are looking to find how many 4s there are in the circle. Since there is only ONE 4 in the circle, our nominator will be 1. So, when we put that together, we get 1/8.
Answer:
1/8
Step-by-step explanation:
Given/To Find:
P(4)
Solve:
Since there are 8 number on the spinner. Which given us denominator will be 8. And ONLY one of them is 4. Thus, Nominator will be 1.
Hence, that given us 1/8
~Learn with Lenvy~
5. For the data in the table below, find the sum of the absolute deviations for the predicted values
given by the median-median line, y = 3.6x-0.4.
Answers
Based on the absolute deviations and the predicted values, the sum of absolute deviations will be 4.8.
What would be the sum of absolute deviations from predicted values?This can be found as:
= ∑ (Observed value - Predicted value)
The observed values are given in the table and the predicted values will be calculated using y = 3.6x - 0.4.
Solving gives:
= [3 - (3.6 x 1 - 0.4)] + [7 - (3.6 x 2 - 0.4)] + [ 9 - (3.6 x 3 - 0.4)] + [14 - (3.6 x 4 - 0.4)] + [15 - (3.6 x 5 - 0.4)] + [21 - (3.6 x 6 - 0.4)] + [25 - (3.6 x 7 - 0.4)]
= 0.2 + 0.2 + 1.4 + 0 + 2.6 + 0.2 + 0.2
= 4.8
Find out more on absolute deviation at https://brainly.com/question/447169.
Kabita has two bags. In the first bag there are 5 blue discs and 3 red discs. In the second bag there are 7 blue discs and 4 red discs. Kabita takes at random a disc from the first bag. She then takes at random a disc from the second bag
Work out the probability that kABITA takes 2 red discs
Answers
The probability that Kabita would take 2 red discs from the bags is 3/22.
What is probability?Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
The probability that Kabita would take 2 red discs = (number of red discs in bag 1 / total number of discs in bag 1) x (number of red discs in bag 2 / total number of discs in bag 2)
(3/8) x (4/11) = 3/22
To learn more about probability, please check: https://brainly.com/question/26321175
y−21<85. Graph the solution.
Answers
Answer:
y < 106
Step-by-step explanation:
Step 1: Add 21 to both sides.
[tex]y-21+21 < 85+21[/tex] [tex]y < 106[/tex]Therefore, the solution is y < 106.
To graph it on a graph:
circle 106 on the graph- DO NOT FILL IN THE CIRCLEpoint the arrow to the left directionA car purchased for $25,000 is worth $23,750 after being used for one year. Find the percent decrease
A. 95%
B. 95%
C. 0. 5%
D. 5%
Answers
Answer:
0.95=95%
Step-by-step explanation:
25,000*0.95=23750
Kat is painting the four walls of her bedroom. She paints 52 square feet in 23 of an hour. How many square feet does she paint per hour?
Answers
Kat is painting the four walls of her bedroom. She paints 52 square feet in 2/3 of an hour. How many square feet does she paint per hour?
Answer ↷78 sq. ft
Solution ↷Area Kat can paint in 2/3 of an hour ⤏52 sq. ft★ 2/3 of an hour ⤏ 2/3 x 60 = 40 minutes
Area kat can paint in a minute ⤏ 52/40 = 1.3 sq. ftArea kat can paint in 60 minutes ⤏ 60 x 1.3 = 78 sq. ft★ An hour ⤏ 60 minutes
Hence , kat can paint 78 sq. ft in an hour
Solve the equation using square roots
3x^2+22=49
Answers
3x^2 = 27
x^2= 9
x= 3 or x= -3
What is the slope of a line perpendicular to the line whose equation is 3x+y=83x+y=8. Fully simplify your answer
Answers
Answer:
(−13)
Step-by-step explanation:
all lines perpendicular to it have a slope of
(
−
1
m
)
3
x
−
y
=
8
can be written as
XXXX
y
=
3
x
−
8
which is the slope intercept form, with a slope of
3
Any line perpendicular to
3
x
−
y
=
8
will have a slope of
(
−
1
3
)
A football field measures 300 feet in length. It can also be expressed as approximately 5. 7 times 10 Superscript n miles. If there are 5,280 feet in 1 mile, which is the most reasonable value of n? Negative 3 Negative 2 2 3.
Answers
The most reasonable value of n n = -2.
We have given that the length of the football field = 300 feet
It can also be expressed as approximately [tex]5.7\times 10^{n}miles[/tex]
What is the value of one mile in feet?Also, 1 mile = 5280 feet....(1)
We have to find 1 feet so divide both side of equation (1)by by 5280 we get,
[tex]1feet=\frac{1}{5280}[/tex]
Now, for 300 feet is,
[tex]300feet=\frac{1}{5280}(300)[/tex]
[tex]300 feet=0.056818181=0.057miles[/tex]
In scientific notation we have,
[tex]300 feet=5.7\times 10^{-2}miles[/tex]
Therefore we get n = -2.
To learn more about the value of power of 10 visit:
https://brainly.com/question/2193418
Find the surface area of this triangular prism.
Answers
(q+4)(9q+5)=0 solve for q
Answers
Answer:
q = -4
q = -5/9
Step-by-step explanation:
Hi!
To solve this question, we can use the zero product property.
The zero product property states that if one factor is equal to 0, then the whol equation is equal to 0.
We have (q+4)(9q +5) = 0
That means either q + 4 = 0, or 9q + 5 = 0.
Solve:
q + 4 = 0q = -49q + 5 = 09q = -5q = -5/9We can check both cases:
(-4 + 4)(-36 + 5) = 0
0(-31) = 0
0 = 0
(-9/5 + 4)(9(-5/9) + 5) = 0
(2.2)(-5 + 5) = 0
(2.2)0 = 0
0 = 0
Triangles J K L and X Y Z are shown. Angles K J L and Y X Z are right angles. The length of Y X is 10. The length of hypotenuse K L is 10.
Could ΔJKL be congruent to ΔXYZ? Explain.
Yes, if JL ≅ XZ.
Yes, if XZ = 10.
No, because the hypotenuse of one triangle is equal in length to the leg of the other triangle.
No, because the leg of one triangle is equal in length to the leg of the other triangle.
Answers
ΔJKL and ΔXYZ CANNOT be congruent triangles because: the hypotenuse of one triangle is equal in length to the leg of the other triangle.
What are Congruent Triangles?Congruent triangles are triangles whose corresponding sides are congruent to each other.
The hypotenuse of triangle JKL(KL = 10) is congruent to a leg of triangle XYZ (YX = 10). This implies that they cannot be congruent triangles.
Therefore, ΔJKL and ΔXYZ CANNOT be congruent triangles because: the hypotenuse of one triangle is equal in length to the leg of the other triangle.
Learn more about congruent triangles on:
https://brainly.com/question/11457412
Answer: The answer is C
Step-by-step explanation: Just took the test on edge
What is the value of w?
Answers
Answer:
w = 60
Step-by-step explanation:
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
w + 20 is an exterior angle of the triangle , then
w + 20 = w - 10 + w - 30
w + 20 = 2w - 40 ( subtract w from both sides )
20 = w - 40 ( add 40 to both sides )
60 = w
Answer:
w=60°
Step-by-step explanation:
triangle=180°
angle on a straight line=180°
using that,
we need to find the angle on the same line with that of "w+20°" angle, so we name it as "X"
so, 180-(w+20)=X
expand bracket by multiplying it with the "-"
so it'll be: 180-w-20=X
then rearrange to get like terms together
180-20-w=x
160-w=x
so the missing angle in the triangle is now (160-w)°
now using the angles in a triangle =180°
we add all the angles and equate it to 180, so:
w-30+w-10+160-w=180°
collect like terms again:
w+w-w-30-10+160=180
2w-w+120=180
w+120=180
move 120 to the other side and remember the sign changes, so:
w=180-120
therefore w=60°
now you can substitute w=60 into the triangle and see you'll get 180°
hope that helps
find the area of each circle, to the nearest tenth.
r =6.3
Answers
Since we know that r=6.3:
π(6.3)^2=39.69 π=124.690
So, the area would be 124.690.
Which system of inequalities is represented by the graph below?
Answers
inequation something like that
the sum of two numbers is 18.two times the first number subtracted by the second number is equal to 15.find the two numbers
Answers
Tracy placed a order for 5/6 of a sack of brown rice 1/6 of a sack white rice. How much more brown rice did Tracy order?
Answers
Answer:
4/6 = 2/3
Step-by-step explanation:
I know this because she ordered 5/6 of a sack of brown rice and 1/6 of a sack of white rice. Then, I did 5/6 - 1/6 = 4/6, which is also equal to 2/3.
A cereal box has a rectangular base with an area of 15 square inches. Its
volume is 180 cubic inches.
What is the height of the box?
A. 12 inches
B. 15 inches
C. 18 inches
D. 10 inches
Answers
Answer:
A
Step-by-step explanation:
Volume of a rectangular prism = l*b *h
Where base area = l*b
Volume = base area * h
Base area * height = Volume
15 * height = 180
height = 180/15
height = 12 inches
PLEASE HELP QUICK!
Determine cos(F) and cos(E).
Answers
Answer:
B. cos F = 9/41, cos E = 40/41
Step-by-step explanation:
use SOH CAH TOA
cosine is CAH which is adjacent over hypotenuse
the adjacent side to F is 9 and the hypotenuse is 41 so 9/41
the adjacent side to E is 40 and the hypotenuse is 41 so 40/41
hope this helped! :)
trigonometry *find the value of x*
Answers
[tex] \cos(x) = \frac{b}{h} \\ \cos(x) = \frac{4 .9}{6.8} \\ \cos(x) = 0.720 \\ x = \cos^{ - 1} (0.720) \\ x = 44 \degree[/tex]
Answer:
x ≈ 44°
Step-by-step explanation:
We will use a trigonometry function to solve for x. We can see that we have values for the adjacent side and hypotenuse. This means we will be using cosine. Cosine is [tex]\frac{adjacent }{hypotenuse}[/tex]
cos(x) = [tex]\frac{adjacent }{hypotenuse}[/tex] [Given]
cos(x) = [tex]\frac{4.9}{6.8}[/tex] [Plug-in the values we have]
x ≈ 43.8969 [Find the inverse cosine function of both sides]
x ≈ 44° [Rounding to nearest degree]
Hailey drew this diagram to represent the equation `2x+16=50`, but she made a mistake.
What equation does Hailey’s tape diagram represent?
Answers
Answer:
x+18=50
Step-by-step explanation:
2+16+x=50 and simplify
Hailey's diagram represents 2 + x + 16 = 50.
When there are individual boxes as such, it typically means that you will combining, or adding them all together.
For it to be correct, 2x should be together as stated in the given equation:
50
[ 2x ][16]
guys please help...........................................................................
Answers
[tex]\bold{\huge{\underline{ Solution }}}[/tex]
Given :-We have given two parallel lines and two lines intersecte each other and act as a transverse Due to the intersection between two parallel and two traverse lines a triangle is formed. The measurements of the given triangle are 60° , 20° and C To Find :-We have to find the values of angles A, B and C Let's Begin :-Here, we have
1 triangle whose measures are 60° , 20° and CTherefore,By using Angle sum property
ASP states that the sum of all angles of triangles are equal to 180°That,
[tex]\bold{\angle{X + }}{\bold{\angle{Y + }}}{\bold{\angle{Z = 180}}}{\degree}[/tex]
Subsitute the required values,
[tex]\sf{ 60{\degree} + 20{\degree} + C = 180{\degree}}[/tex]
[tex]\sf{ 80{\degree} + C = 180{\degree}}[/tex]
[tex]\sf{ C = 180{\degree} - 80{\degree}}[/tex]
[tex]\sf{ C = 100}{\degree}[/tex]
Thus, The value of C is 180°
Now,We have to find the measurement of Angles A and B
Here,
Angle B , unknown angle and Angle C lie on a straight line and we know that the angle formed by straight line is 180°Let the unknown angle be x which is equal to 20° ( Alternative interior angles) Therefore,[tex]\sf{\angle{B + }}{\sf{\angle{ x + }}}{\sf{\angle{C = 180}}}{\degree}[/tex]
[tex]\sf{\angle{ B + 20{\degree}+ 100{\degree} = 180{\degree}}}[/tex]
[tex]\sf{\angle{ B + 20{\degree} = 180{\degree}- 100{\degree}}}[/tex]
[tex]\sf{\angle{ B = 80{\degree} - 20{\degree}}}[/tex]
[tex]\sf{\angle{ B = 60{\degree}}}[/tex]
Now, A, B and 100° lie on a straight line and we know that the angle formed by straight line is equal to 180°Therefore ,[tex]\sf{\sf{A + }}{\sf{\angle{B + }}}{\sf{ 100{\degree} = 180}}{\degree}[/tex]
[tex]\sf{\angle{ A + 60{\degree} = 180{\degree} - 100{\degree}}}[/tex]
[tex]\sf{\angle{ A = 80{\degree} - 60{\degree}}}[/tex]
[tex]\sf{\angle{ A = 20{\degree}}}[/tex]
Hence, The measure of Angles A, B and C are 20° , 60° and 100° .
You ran 3.4 miles. Your penpal from Germany ran 5 km. Who ran the greater distance? (1 mile = 1.61 km)
You
Your friend
PLS HURRY
Answers
Answer:
You ran a farther distance.
Step-by-step explanation:
First we will have to convert the 3.4 miles to km.
3.4x1.61=5.474 km
5.474 is greater than 5 km.
Therefore, you ran a farther distance.
Feliz and Mary spent 5 hours over the weekend building 2 model planes. They spent an equal amount of time building the model planes. How long did it take them ti build each plane?
Answers
Answer:
They spent 2hrs and 30min
Step-by-step explanation:
If you cut 5 in half you get 2.5
60 cut in half equals 30
In other words... 2.5 = 2hrs and 30min
If the result of a division problem is written as x^3 + 2x^2 + 3x - 4 = (x^2 + 3x + 6) (x - 1) + 2, Identify the dividend, quotient, divisor, and remainder.
Answers
Answer:
step by step ✌️