Answer:
[tex]\bold{Cubic \: eq {}^{n} = x {}^{3} - ( \alpha + \beta + \gamma )x + ( \alpha \beta + \beta \gamma + \gamma \alpha )x - ( \alpha \beta \gamma )} \\ [/tex]
Sum of zeroes ,
[tex] \alpha + \beta + \gamma = ( - 3) + 4 + 6 = 7[/tex]
sum of product of zeroes taken two at a time ,
[tex] \alpha \beta + \beta \gamma + \gamma \alpha = ( - 3)(4) + (4)(6) + (6)( - 3) \\ = > - 12 + 24 - 18 \\ = > - 6[/tex]
product of zeroes ,
[tex] \alpha \beta \gamma = ( - 3)(4)(6) = - 72[/tex]
Substituting the values in the equation above , we get
[tex]\bold{x {}^{3} - ( \alpha + \beta + \gamma )x {}^{2} + ( \alpha \beta + \beta \gamma + \gamma \alpha )x - ( \alpha \beta \gamma ) }\\\\\bold{ ⇢ x {}^{3} - 7x {}^{2} + ( - 6)x - ( - 72)} \\\\\bold\blue{ ⇢x {}^{3} - 7x {}^{2} - 6x + 72}[/tex]
hope helpful~
find the volume of the cone
The volume of the cone is [tex]\frac{1}{3} \pi r^{2}h[/tex]
r: radius --> 6fth: height --> 6ft[tex]\pi[/tex] = 3.14Volume = [tex]\frac{1}{3} \pi (6)^{2} *6=226.08ft^{3}[/tex]
Hope that helps!
Find the distance between the points
(8,8) and (8,-2)
Answer:
10 is the answer
hello bro
What values are needed to make each expression a perfect square trinomial? x2 4x x2 – 10x.
Answer:
Step-by-step explanation:
4 and 25
What is the approximate length of arc s on the circle? 5. 23 in. 41. 87 in. 52. 36 in. 104. 67 in.
Answer:
need PPO
Step-by-step explanation:
need points I am 5 grade student sorry
A cube with 2 meters.explain what happens to the volume of the cube if the length of the sides is doubled pls answer this for me
Answer:
The volume will be multiplied by 8.
Step-by-step explanation:
If the sides are doubled, what is going to happen to the volume? First, let's find out what the initial volume is first!
The side lengths are 2 meters. With squares/cubes, all sides are equal.
So, the length, height, and width are the same.
For the volume, we need to multiply those values.
2*2*2=8 meters
That's the initial volume.
Now, let's find out what the volume will be once we've double the side values.
2*2=4
The side values are now four.
Let's multiply!
4*4*4=64 meters
It looks like the volume multipled by eight fold.
Manny's Restaurant bought 9 1/4 pounds of onions. The restaurant bought 7 3/4 times as much potatoes as onions. How many pounds of potatoes did the restaurant buy?
Answer:
71.6875 pounds of patatoes.
Step-by-step explanation:
9.25x7.75 = 71.6875
Work out
(4 x 10-1) + (4 x 10-1)
Give your answer in standard form.
Determine the value of ∠EBD∠EBD. Show your work.
Giving 18 POINTS
The value of ∠EBD is 66°
Vertically opposite anglesVertical angles are a pair of opposite angles formed by intersecting lines. Vertical angles are equal. Therefore,
∠EBA≅∠CBF
Therefore,
∠EBA = 40 - x
∠EBA + ∠EBD = 90°(complementary angles)
Therefore,
40 - x + 6x - 30 = 90
5x = 90 + 30 - 40
5x = 80
x = 80 / 5
x = 16
Therefore,
∠EBD = 6(16) - 30 = 66°
learn more on angles here: https://brainly.com/question/10987237
Select all the following that describe the association in the scatter plot
Answer:
Linear and positive
Step-by-step explanation:
Positive because its going up and linear because its not scattered, its more or less in a line going up
Work out percentage change when a price of £20 is increased to £50
Answer:
150%
Step-by-step explanation:
40 euro = 100% change
20 / 2 = 10 (50% of 20)
Add them
40 + 10 = 500
100 + 50 = 150
150%
Find the surface area of a rectangular prism with a length of 13 ft,
width of 8 ft and height of 18 ft.
2x times -6x in multiplying polynomials
Answer:
- 1x2x3xX
Step-by-step explanation:
- 6x
One of the factors is - 1
If the coefficient is negative, one of its factors is - 1
⬇️
- 1x6x
Factor the monomial by writing the coefficient 6 as a product of prime numbers
⬇️
Solution
- 1x2x3xx
48 divided by 9,853 and whats the r
The quotient and remainder of 9853 divided by 48 = 205 R 13
explained in image
HELP ME FIND THE AREA I AM DESPERATE QUESTION IN LINK
Answer:
4π cm²
Step-by-step explanation:
The area of a circle is [tex]\pi r^2[/tex], where r = radius. We're given the radius as 2 centimeters, and we have to solve in terms of pi.
[tex]2^2 * \pi[/tex] [tex]4*\pi[/tex] [tex]4\pi[/tex] 4π cm²Therefore, the answer is 4π cm².
Is the equation y/x=8 direct variation, inverse variation, or neither? Explain
Answer:
It's a direct variation, as the ratio between x and y is constant
30 POINTS!!
Create one equation with the distributive property and show the work to solve it.
Answer:
173
Step-by-step explanation:
6+4/8*2+(4+9)^2-3
6+4/8*2+13^2-3
6+4/8*2+169-3
6+1/2*2+169-3
6+1+169-3
173
3(x + 5)
The distributive property states that you are distributing whatever is outside the parenthesis to all terms within the parenthesis. For complex distributive questions, you will have to simplify the parenthesis first (if you can) before distributing.
In this case, the example given is 3(x + 5).
First, distribute 3 to all terms in the parenthesis by multiplication:
3(x + 5)
= (3 * x) + (3 * 5)
= 3x + 15
3x + 15 is your answer.
~
Another more complex distribute property can involve powers. Take for example:
(7x + 5)²
In this case, you will use the distributive method of FOIL, or (First, Outside, Inside, Last). Set the question:
(7x + 5)² = (7x + 5)(7x + 5)
First: 7x * 7x = 49x²
Outside: 7x * 5 = 35x
Inside: 5 * 7x = 35x
Last: 5 * 5 = 25
Next, combine like terms:
49x² + 35x + 35x + 25
49x² + (35x + 35x) + 25
49x² + (70x) + 25
49x² + 70x + 25 would be your answer.
~
A spinner has numbers from 1-5. What is the probability of spinning a multiple of 2?
The only multiples of two here are 2 and 4. That leaves you with two options out of 5, so the probability is 2/5.
PLEASE HELP Giving 50 POINTS PLEASE EXPALIN ANSWER
PART 1: Julie is incorrect ; 15/4 ≠ 3/2
PART 2: LIZ IS CORRECT
A colony of microbes doubles in population every 6 hours. Explain why we could say that the population grows by a factor of 6 square 2 every hour.
Answer:
please mark brainlyest
6 = 200
12 = 400
18 = 800
24 = 1600
30 = 3200
36 = 6400
42 = 12800
48 = 25600
In theory assuming none of them die and they reproduce at a constant rate.
In a math test, there are 16 multiple-choice problems. Correct answer will get 6 points, and wrong answer will deduct 2 points, and leaving the question not answered will get 0 point. Stan has one question not answered, at least how many correct answer(s) should he get in order to get total score not less than 60
Jack burned 150 calories on the elliptical and 210 calories on the treadmill. What do a the ratio of calories burned on the elliptical to calories burned on the treadmill?
Answer:
5/7
Step-by-step explanation:
When you reduce 150/210 you get 5/7, this is the reduced form
Help me please it’s due by today
Answer:
D
Step-by-step explanation:
Lateral SA = area of the 4 triangles
Formula to be used :-
Area (triangle) = 1/2bh
=> 4 x 1/2 x 9 x 12
=> 108 x 2
=> 216 cm²
Total SA = LSA + area of the square
Formula to be used :-
Area (square) = side length x side length
=> 216 + 9 x 9
=> 216 + 81
=> 297 cm²
The correct option is (D).
LSA:-
Area of one triangle:-
1/2(Base)(Height)1/2(9)(12)6(9)54cm²LSA
4(54)216cm²TSA:-
Area of square:-
side²9²81cm²TSA:-
81+216=297cm²What is the solution to this inequality? 3x+7>16 Drag and drop a symbol and number to correctly complete the inequality.
PLEASE HELP!
Answer:
x > 3
Step-by-step explanation:
Step 1: Subtract 7 from both sides.
[tex]3x+7-7 > 16-7[/tex] [tex]3x > 9[/tex]Step 2: Divide both sides by 3.
[tex]3x/3 > 9/3[/tex] [tex]x > 3[/tex]Therefore, the solution is x > 3.
Answer:
[tex]\displaystyle 3 < x[/tex]
Step-by-step explanation:
[tex]\displaystyle 3x + 7 > 16 \hookrightarrow \frac{3x}{3} > \frac{9}{3} \\ \\ x > 3[/tex]
The above answer is written in reverce, and is still the same result.
*Now, in case you did not know how we arrived at the division, seven was deducted from both sides of the inequality to give you [tex]\displaystyle 3x > 9.[/tex]From there, we splat both sides in third to give you the above result.
I am joyous to assist you at any time.
HELPPP FOR BRIANLEST!!!!
Answer:
4/13
Step-by-step explanation:
NOT 2010s and NOT spruce wood (4) over total (13)
4/13 is in its reduced form
A fly was sitting on the ground in the front left corner of your classroom. He flew to the ceiling in the opposite corner of the room. How far did he fly if the room is 12 feet by 8 feet by 9 feet?
A- 12.0 feet
B- 17 feet
C- 14.4 feet
D- 864 feet
Answer: it should be either A or B
Step-by-step explanation:
sorry if I’m wrong
Can someone please help me with this???
1.
Part A: If (26)x = 1, what is the value of x? Explain your answer. (5 points)
Part B: If (50)x = 1, what are the possible values of x? Explain your answer. (5 points)
Part A:
(26)x = 1
Solve for x by dividing both sides by 26:
X = 1/26
part B:
(50)x = 1
Solve for x by dividing both sides by 50:
X = 1/50
[tex]\\ \rm\Rrightarrow 26x=1[/tex]
[tex]\\ \rm\Rrightarrow x=1/26[/tex]
#B
[tex]\\ \rm\Rrightarrow 50x=1[/tex]
[tex]\\ \rm\Rrightarrow x=1/50=0.02[/tex]
Q2 ) A cylinder with a diameter of 4 ft , and height of 6 ft . Find the VOLUME and SURFACE are of the cylinder .
Answer:
The volume is ten(10)and the surface is also ten(10)
HELPPP FOR BRIANSLST!!!
Answer:
5/16
Step-by-step explanation:
velvet and acoustic guitar (5) over total (16)
5/16 does not simplify
9 + 4 to the third power x (20-8) / 2 + 6
Answer:
120.25
Step-by-step explanation:
4 to the third power is 64. so 64 + 9 = 83. 20-8 = 18. 6 + 2 = 8.
so 83 + 18 + 8 = 109. so 8 divided by 18 = 2.25. 109 + 9 + 2.25 = 120.25.
find the value of x
Answer: 3
Step-by-step explanation: