Help please in picture below

[tex]\text{If}~ \alpha ~\text{and}~ \beta~ \text{are the roots,}\\ \\x^2 -(\alpha + \beta)x +\alpha\beta = 0\\\\\text{For}~ x^2+3x-2=0\\\\\alpha +\beta=-\dfrac ba=-3\\ \\\alpha \beta = \dfrac ca = -2\\\\[/tex]

[tex]\text{So,~} \alpha^3+\beta^3 = (\alpha + \beta)(\alpha^2 + \beta^2 -\alpha \beta)\\ \\~~~~~~~~~~~~~~~~=(\alpha+\beta)\left[(\alpha +\beta)^2 -2\alpha \beta - \alpha \beta\right]\\\\~~~~~~~~~~~~~~~~=(\alpha+\beta)\left[(\alpha +\beta)^2 -3\alpha \beta \right]\\\\~~~~~~~~~~~~~~~~=-3\left[(-3)^2-3(-2)\right]\\\\~~~~~~~~~~~~~~~~=-3(15)\\\\~~~~~~~~~~~~~~~~=-45\\\\\text{And}~~~\alpha^3 \beta^3= (\alpha \beta )^3 = (-2)^3 = -8\\\\[/tex]

[tex]\text{Hence the equation whose roots are}~ \alpha^3 ~\text{and}~ \beta^3~ \text{is:}\\ \\ x^2-(\alpha^3 + \beta^3)x +\alpha^3 \beta^3 =0\\\\\implies x^2 -(-45)x+(-8)=0\\\\\implies x^2 +45x -8=0[/tex]

Answer:

y=-2x + 5

Step-by-step explanation:

y=mx+b

m=slope

b= y intercept

since on the y line the line intercepts on 5 you replace 5 with the b.

As for the m(slope) when the line is decreasing (going down) its automatically a negative number. and since (0,5)　(1,3) 5-3=2 -2 would be ur slope.

Answer:

D. 60  Mark brainliest<3

Step-by-step explanation:

Each neighbor buys 2 boxes which contains 6 candles meaning they in total contain 12.

5x12 = 60

7

[tex]Based\ on\ the\ given\ conditions,\ formulate:[/tex]

[tex]14\div 2[/tex]

[tex]\frac{14}{2}[/tex]

Creoss out the common factor

[tex]7[/tex]

I hope this helps you

:)

Answer:

First one: 27

Second one: 1/8

Step-by-step explanation:

Hope this helps! :)

Answer:

Non-linear equations:

[tex]y=x^2 +2x-3[/tex]

[tex]3y=2^x[/tex]

Step-by-step explanation:

Linear equation: y = mx + b

Therefore, a linear equation has 2 variables that have no exponents.

So the non-linear equations are:

[tex]y=x^2 +2x-3[/tex]  (this is a quadratic equation - polynomial with degree 2)

[tex]3y=2^x[/tex] (this is an exponential equation)

Answer:

Shorter leg = 20 cm.

Longer leg = 21cm.

Hypotenuse = 29 cm

Step-by-step explanation:

Let the shorter leg be x cm long

Then longer leg = x + 1 and hypotenuse = x + 9 cm long

So by Pythagoras:

x^2 + (x + 1)^2 = (x + 9)^2

0 = x^2 + 18x + 81 - x^2 - (x^2 + 2x + 1)

x^2 + 18x + 81 - x^2 - x^2 - 2x - 1 = 0

-x^2 + 16x + 80 = 0

x^2 - 16x - 80 = 0

(x - 20)(x + 4) = 0

So x = 20   (we ignore the negative root).

So longer leg = 20 + 1 and hypotenuse = 20 + 9.

Answer:

False

Step-by-step explanation:

2/10 is not equal to 4/16.

Answer:

Step-by-step explanation:

It is a polynomial. A polynomial must have the following properties (among others).

Degree: So for this example the degree is 4 + 5 = 9. Derived from 4r^4 s^5

There is one isolated - sign with 2 terms on either side of the minus sign.

Type: It is a binomial

Answer:

g(x)=3x--2

Step-by-step explanation:

please mark me as brainlest

Answer:

C. where the start point is on (3,0) and goes up and to the right

Step-by-step explanation:

y= √x−3

Swap sides so that all variable terms are on the left hand side.

√x−3 =y

Square both sides of the equation.

x−3=y^2

Add 3 to both sides of the equation.

x−3−(−3)=y^2 −(−3)

Subtracting −3 from itself leaves 0.

x=y^2 −(−3)

Subtract −3 from y^2.

x=y^2 +3

Answer

Parallelogram: A quadrilateral with 2 pairs of parallel sides. Rectangle: A parallelogram with 4 right angles.

Answer:

70

Step-by-step explanation:

60/40Ⅹ50=70

I hope this helps

To convert -21/30 in the decimal form, we will neglect the negative sign and start dividing it in the normal manner and after the answer comes we will reunite the negative sign with the answer.

Kindly refer to the attachment for division.

Hence, -21/30 = -0.7

Answer:

Your answer is 0.7

Step-by-step explanation:

step one=21/30

Step two=21÷30

Answer=0.7

I hope that will help you

Answer:

A. 9A² - 16B²

Step-by-step explanation:

(3A + 4B)(3A - 4B)

Distribute:

3A(3A - 4B)

4B(3A - 4B)

Multiply:

3A(3A - 4B)

3A(3A) + 3A(-4B)

9A² - 12AB

4B(3A - 4B)

4B(3A) + 4B(-4B)

12AB - 16B²

Combine like terms:

9A² - 12AB + 12AB - 16B² <== -12AB + 12AB cancels out

9A² - 16B²

Therefore, our final answer is 9A² - 16B²

Hope this helps!

Answer:

Step-by-step explanation:

Let the number = 'x'

Product of number and eight ⇒ 8*x = 8x

Nine more than the product of 8x ⇒add 9 to 8x

8x + 9 = 4

      8x = 4 - 9

     8x = -5

       x = -5/8

The volume of the cylinder is the amount of space on it

The volume of the oblique cylinder is 174.19 cubic units

The given parameters are:

AB = 16 units

Radius (r) = 2 units

[tex]\theta = 30^o[/tex]

Start  by calculating the height (h) using:

[tex]h = 16 * \cos(30^o)[/tex]

This gives

[tex]h = 13.86[/tex]

The volume of the cylinder is then calculated as:

[tex]V = \pi r^2 h[/tex]

This gives

[tex]V = 3.142 * 2^2 * 13.86[/tex]

[tex]V = 174.19248[/tex]

Approximate

[tex]V = 174.19[/tex]

Hence, the volume of the oblique cylinder is 174.19 cubic units

Read more about volumes at:

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Answer:

20

Step-by-step explanation:

from the numbers i was seeing my answer is 20 i am so sorry if it not right.

Answer:

120

Step-by-step explanation:

6p3 = 120

The number of the different combinations of the teams will be 26.

A permutation is an act of arranging objects or numbers in a particular order. Combinations are a method of selecting objects or numbers from a group of objects or collections without regard for their order.

Given that for a class activity, a teacher put students into teams of 5. The teams were made up of 2 students randomly chosen from group A and 3 students randomly chosen from group B. If group A has 4 students and group B has 6 students,

The number of possible combinations will be calculated as,

C = ⁶C₃ + ⁴C₂

C = ( 4 x 3 ) / 2 + ( 6x 5 x 4 ) /( 3x 2 )

C = 6 + 20

C = 26

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Answer:

The answer is C

Step-by-step explanation:

[tex]\frac{n}{20}*20 = 1 * 20[/tex]

1 x 20 = 20

Answer:

C) n = 20

Step-by-step explanation:

hope it helps!

Step-by-step explanation:

it is negative so the slope must go downwards from left to right. since it is 1/3, for every 3 to the right, you go one down.

Answer:

2x = 26, x = 13

Step-by-step explanation:

Write and solve an equation twice a number is 26

x = unknown number

Equation: 2x = 26

Solve:

2x = 26

/2    /2 <== divide both sides by 2

x = 13

Check your answer:

2x = 26

2(13) = 26

26 = 26

This stament is correct

Hope this helps!

Answer:

f(x)=x(x+4)(x+3)(x-4)(x-3)

Step-by-step explanation:

hello :

an  polynomial is : f(x)=(x+4)(x+3)(x-0)(x-4)(x-3)

means : f(x)=x(x+4)(x+3)(x-4)(x-3)

if the diameter is 20, the its radius must be half that or 10.

[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ A=5\pi \\ r=10 \end{cases}\implies \begin{array}{llll} 5\pi =\cfrac{\theta \pi (10)^2}{360}\implies 5\pi =\cfrac{5\pi \theta }{18} \\\\\\ \cfrac{5\pi }{5\pi }=\cfrac{\theta }{18}\implies 1=\cfrac{\theta }{18}\implies 18=\theta \end{array}[/tex]

Step-by-step explanation:

I hope its helped ! studied well.

Answer:

a: The tape diagram represents the story because there’s 5 boxes representing the 5 weeks and x-2 in each box since x represents the amount Andre’s neighbor will pay him weekly to mow the lawn. This all equals 40 because that’s how much money he has to save.

B: Andre’s neighbor pays him 10 dollars each week to mow the lawn.

Step-by-step explanation:

b: For this part you have to make an equation combining all the five weeks which would be 5x-10. Then you would make it equal 40 because that’s how much he needs to save 5x-10=40. The you solve to find x by adding 10 to both sides of the equation and get 5x = 50. Then if you divide 5 on both sides you get 10!
You can check you work by plugging in 10 as x into the diagram.

Answer:

17 or 7

Step-by-step explanation:

if im right brainliest pls
?

I'll do the first three questions to get you started.

==========================================================

Question 1

x = horizontal component of the triangle

cos(angle) = adjacent/hypotenuse

cos(theta) = horizontal/hypotenuse

cos(40) = x/30

x = 30*cos(40)

x = 22.98133329 approximately

This is the horizontal force applies to the suitcase.

Work = force*displacement

Work =  22.98133329*120

Work = 2,757.7599948

Work = 2,758

==========================================================

Question 2

Add the drone's relative air velocity and the wind velocity vectors.

v+w = (13i + 3j) + (-7i - 2j)

v+w = (13i-7i) + (3j-2j)

v+w = 6i + j

==========================================================

Question 3

Check out the diagram below. Focus on the smaller triangle. Notice the placement of angle theta.

sin(theta) = opposite/hypotenuse

sin(40) = x/200

x = 200*sin(40)

x = 128.557521937308

x = 128.558

Answer:

b

Step-by-step explanation:

The required equation that can be used to represent the lumens, L, after x screen layers are added is [tex]l = 750(0.75)^x[/tex]. Option B is correct.

The equation is the relationship between variables and is represented as y = ax+ v an example of a polynomial equation.

Let L be the power of the bulb in lumens and x be the number of layers added to the screen. Since every layer decreases the brightness of the blubs by 25%, The sequence in which the light brightness gets decreased.

For number of screen x = 1
= 750(1 - 0.25)
For number of screen x = 2
= 750(1 - 0.25)(1 - 0.25)
For number of screen x = 3
=750(1 - 0.25)(1- 0.25)(1-0.25)
.... so on

The above observation can be computed as power (1 - 0.25)  increasing after adding a number of screens,

Now
[tex]L = 750(1 - 0.25)^x\\L = 750(0.75)^x[/tex]

Thus, The required equation that can be used to represent the lumens, L, after x screen layers are added is [tex]l = 750(0.75)^x[/tex].

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