Hi. Please i need help with these . No jokes .
Question b : Find ;
the values of
1.alpha³+beta³ and 1/(alpha³) +1/(beta³)
2. the the equation whose roots are alpha³ and beta ³
Answers
9514 1404 393
Answer:
(a) 2, 6
(b) 155/8, -155, 8x² -155x -1 = 0
Step-by-step explanation:
(a) The equation in standard form is ...
x^2 -(4+k)x +4k +1 = 0
Then the discriminant is ...
(4+k)^2 -4(1)(4k+1) = 4^2 +8k +k^2 -16k -4 = k^2 -8k +12 = (k -2)(k -6)
The roots are equal when the discriminant is zero. The values of k that make the discriminant be zero are k=2 and k=6.
__
(b) a^3 + b^3 = (a +b)(a^2 -ab +b^2) = (a+b)((a+b)^2 -3ab)
= (5/2)((5/2)^2 -3(-1/2)) = (5/2)(25/4 +3/2) = 155/8 = α³ +β³
1/a^3 +1/b^3 = (a^3 +b^3)/(ab)^3 = (155/8)/(-1/2)^3 = -155 = 1/α³ +1/β³
The desired equation can be written from ...
(x -a^3)(x -b^3) = 0
x^2 -(a^3 +b^3)x +(ab)^3 = 0
x^2 -155/8x -1/8 = 0 . . . . .substituting known values
8x^2 -155x -1 = 0
Related Questions
Write an inequality for the graph below
Answers
Answer:
y ≤ -4x - 3
Step-by-step explanation:
First identify the line itself by using point slope [y - y1 = m(x - x1) ] given two points or find the slope by finding the rise of the line over the run [m = ∆y/∆x ] [∆ = change/difference]. Because you are already given the y-intercept, using the form y = mx + b, the y-intercept is -3 because that is where the line intersects the y axis or where x = 0 so b = -3.
Now from -3, you can tell that when you go 1 across, the line goes down 4 units so the slope or m must be -4. Because it goes from -3 to -7, that is a change of -4. This means the line is y = -4x - 3.
Because there is a solid line, and a shade (thought of as the y value) under the line, you will replace = [equal sign] with the ≤ [less than or equal sign]. Therefore the answer is y ≤ -4x - 3
Dora has 20 donuts. she divides those 20 donuts into halves. then she divides those halves into fifths. then she divides those fifths into thirds. how many pieces does she have now?
Answers
Answer:
270
Step-by-step explanation:
if u cut a donut in too halfs there are more donuts so 20* 2 is 40 then multiply 40 by 5 since she cuts it into fifths an u get 90 then multiply 90 by 3 since its thirds an you get 270
Answer:
600
Step-by-step explanation:
20 divided by 1/2 is 40
40 divided by 1/5 is 200
200 divided by 1/3 is 600
Solve the Proportion: 3/8 = x/12
Answers
x = 9/2
Get variable on one side of equation and solve"
x/12 = 3/8
x = (3/8)(12)
x = 9/2
EASY i just don’t know how to do it pls help
Answers
Answer:
k
Step-by-step explanation:
18 POINTS
Classify the triangle described below. A triangle with measures of x∘, 4x∘, and 4x∘ is a(n)
A.Right B. Obtuse C. Acute triangle.
Answers
Does anyone know the answer to this problem?
Answers
Answer:
15
Step-by-step explanation:
3^2 + sqrt4 + 4
3^2 = 9
sqrt4 = 2
(9)+(2)+(4)=15
therefore, the answer is 15
What is the distance between point A and point B? Round to nearest tenth.
Answers
Answer:
[tex]d \approx 12.6[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point A (-4, 2)
Point B (8, 6)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d.
Substitute [DF]: [tex]d = \sqrt{(8+4)^2+(6-2)^2}[/tex]Add/Subtract: [tex]d = \sqrt{(12)^2+(4)^2}[/tex]Exponents: [tex]d = \sqrt{144+16}[/tex]Add: [tex]d = \sqrt{160}[/tex]Simplify: [tex]d = 4\sqrt{10}[/tex]Evaluate: [tex]d = 12.6491[/tex]Round: [tex]d \approx 12.6[/tex]6th grade math i mark as brainliest
Answers
just add you the numbers and you will get the answer
the coffee pub has cans of coffee that weigh 3 1/4 pounds each. the pub has 8 1/2 cans of coffee left. what is the total weight of 8 1/2 cans ? show your work
Answers
Final Answer: [tex]27\frac{5}{8}[/tex] pounds
Final Answer Reason: The total weight of [tex]8\frac{1}{2}[/tex] cans would be [tex]27\frac{5}{8}[/tex] pounds
Steps/Reasons/Explanation:
We'll need to find the total weight of [tex]8\frac{1}{2}[/tex] cans, so we would need to multiply [tex]3\frac{1}{4}[/tex] cans by [tex]8\frac{1}{2}[/tex] cans. We are solving for the total weight of [tex]8\frac{1}{2}[/tex] cans.
Question: The coffee pub has cans of coffee that weigh [tex]3\frac{1}{4}[/tex] pounds each. The pub has [tex]8\frac{1}{2}[/tex] cans of coffee left. What is the total weight of [tex]8\frac{1}{2}[/tex] cans?
Solve For: The total weight of [tex]8\frac{1}{2}[/tex] cans.
Steps: Multiply to find total weight of [tex]8\frac{1}{2}[/tex] cans.
[tex]3\frac{1}{4}[/tex] × [tex]8\frac{1}{2}[/tex]
= [tex]\frac{13}{4}[/tex] × [tex]\frac{17}{2}[/tex]
= [tex]\frac{221}{8}[/tex]
= [tex]27\frac{5}{8}[/tex]
~I hope I helped you :)~
please help i have been stuck on this for so long :(
Answers
Answer:
Angle 1
Step-by-step explanation:
Angle 1 is the only marked angle that is an obtuse angle (larger than 90 degrees, but less than 180).
Also, the angle marked as 28 degrees and angle one are supplementary, meaning that they add up to equal 180. 180-152=28
Answer:
angle 1
Step-by-step explanation:
Examine the diagram. It is not drawn to scale. A triangle has angles 1, 2, 3. The exterior angle to angle 1 is 4, to angle 2 is 5, to angle 3 is 6. In the diagram shown, m∠1 = 30° and m∠5 = 120°. What is the sum of the measures of ∠4, ∠5, and ∠6? degrees Identify the following angle measures. m∠2 = degrees m∠4 = degrees m∠6 = degrees
Answers
Answer:
✔ 360°
Identify the following angle measures.
m∠2 = ✔ 60
m∠4 = ✔ 150
m∠6 = ✔ 90
Step-by-step explanation:
i just finished answering the question
Answer:
C
B
B
C
Step-by-step explanation:
for the lazy ppl
helppppppppppppp pleaseeeee
Answers
Answer:
30 percent
Step-by-step explanation:
Selena is baking chocolate chip cookies. The recipe calls for 2 1/3 cups of semi-sweet chocolate chips. If she has already put in 1 1/2 cups into the batter , how many more cups of chocolate chips should be added to the batter?
Answers
Answer:
5/6
Step-by-step explanation:
If you minus 1 1/2 from 2 1/3 you get 5/6 left.
Please mark brainliest.
5/6 cups of more chocolate chips should be added to the batter.
Given that, the recipe calls for [tex]2\frac{1}{3}[/tex] cups of semi-sweet chocolate chips. Selena has already put in [tex]1\frac{1}{2}[/tex] cups into the batter.
What is a fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
Number of more cups of chocolate chips should be added to the batter = [tex]2\frac{1}{3}-1\frac{1}{2}[/tex]
= 7/3 - 3/2
= 14/6 - 9/6
= (14-9)/6
= 5/6
Therefore, 5/6 cups of more chocolate chips should be added to the batter.
To learn more about the fractions visit:
https://brainly.com/question/10354322.
#SPJ5
A city has 5 new houses for every 9 old houses. If there are 35 new houses in the city, how many old houses are there?
A.
61
B.
65
C.
63
D.
68
Answers
Answer:
C.) 63
Step-by-step explanation:
You know what you insisted on me answering, so I'll answer here.
35 ÷ 5 = 7
7 x 9 = 63
35/5 = 7
7 * 9 = 63
Therefore, there are 63 (C) old houses in the city.
What is the fraction that is halfway between 1/3 and 3/2
Answers
Answer:
11/12
Explanation:
1/3 + 3/2 = 11/6
11/6 x 1/2 (average is halfway) = 11/12
Answer:
-1/12.
Step-by-step explanation:
One way to do this is as follows
Answer = (3/2 + 1/3) / 2
= (9/6 + 2/6) / 2
= 11/6 / 2
= 11/12.
A Sweater That normally costs $25.00 is on sale for 10 percent Off.
What will the Discount be?
what will the cost of the Sweater be?
Can Someone Please PLEASE help me??
Answers
Answer:
15.00
Step-by-step explanati
the discount is 15% because you need to subtract it
Hey guys i need help asap, here’s the problem (j-5)(5)
Answers
Answer:
5j-25
Step-by-step explanation:
Answer:
5j - 25
Step-by-step explanation:
Distribute #5 among j and -5
Translate into an equation: "The difference of half a number and 7 is the same as the sum of the number and 13"
Answers
Answer:
n2 - 7 = n + 13
If f(x) = 2x^2 +1, what is f(x) when x = 3?
O1
O7
•13
O 19
Answers
Answer:
19
Step-by-step explanation:
Plug 3 in for (x)
You'd have: 2(3)²+1
Solve. Do parentheses first so... 3²=9
You now have: 2(9)+1
Solve
18+1 = 19
What is 7(9n − 3) − 7n
In order please
simply
Answers
Answer:
n= 3/8
Step-by-step explanation:
63n -21 -7n
63n - 7n = 21
56n = 21
n= 3/8 or 0.375
Answer: 56n-21
Step-by-step explanation:
7(9n-3)-7n Multiply parenthesis
63n-21-7n
SUBTRACT 63n-7n- 56n
Answer is: 56n-21
We leave 21 alone because it is a constant. We leave 56n alone because there is no like term with the variable n.
can you please help me with this
Answers
Answer:
Dot plot
Step-by-step explanation:
Each dot on on 0.84 represents each plane. 5 planes had a average cruising speed of 0.84.
please help me 56 points
Answers
Answer:
Are you trying to solve for x?? orrr? what
Step-by-step explanation:
I can help you just gotta be specific
What is the square root of 10,000 in simplest radical form?
Answers
Answer:
Step-by-step explanation:
the answer is 100
What is the x- intercept of the line that represents y=-4x+12
Answers
Answer:
3,0
for steps
Step-by-step explanation:
math
way
Is this graph a function? why or why not.
Answers
Answer:
The vertical line test can be used to determine whether a graph represents a function. ... If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because that x value has more than one output. A function has only one output value for each input value.
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
If a train goes at a constant speed of 40 miles per hour for one hour, then at a constant speed of 50 miles per hour for two hours, what is its instantaneous speed at the beginning of the last hour of its trip?
Answers
Answer:
60
or 200 miles is the hole trip
Step-by-step explanation:
A band expects to put 16 songs on their next CD. The band writes and records 75% more songs than they expect to put on the CD. During the editing process, 75% of the songs are removed. How many songs will there be on the final CD?
Answers
Answer:
7 songs
Step-by-step explanation:
75% of 16 is 12
16 + 12 = 28
75% of 28 is 21
28 - 21 = 7
Answer:
7 songs
Step-by-step explanation:
Rewrite the equation to describe 4 as a function of 8:
4x + 8y = 512
Then interpret the slope and y-intercept.
Answers
Answer:
The steps below show how I transformed the equation in the question into standard form, where the slope and y-intercept is clearest. The slope is -1/2 and the y-intercept is 32.
[tex]4x + 8y = 512 \\ x + 2y = 64 \\ 2y = - x + 64 \\ y = - \frac{1}{2} x + 32[/tex]
Simplify 5c(3c^2)^3.
Answers
Answer:
5c(3c2)3
=135c7
Step-by-step explanation:
Answer:
135c ^3 i just took the test
Step-by-step explanation:
find the value of x round to the nearest tenth
Answers
Answer:
88.2
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relevant relation ...
Tan = Opposite/Adjacent
tan(10°) = x/500
x = 500·tan(10°)
x ≈ 88.2 . . . . units
_____
cr sqdancefan on brainly , i saw that the same question was posted somewhere else and someone already answered it .