[tex] { \alpha }^{2} \beta + \alpha { \beta }^{2} [/tex]
Please solve this ​

Answers

Answer 1
If a and B are the zoros of the quadratic polynomial p(x)=4x^2 - 5x-1, find value of a^2B + aB^2 .

Solution

SINCE a and B are the roots of the polynomial: 4x^2-5x-1

Sum of the roots a+B =5/4

Product of the roots aB=-1/4

HENCE

a^2B+aB^2=aB(a+B)=5/4(-1/4)=-5/16

Concept:Relationship Between Zeroes and coefficients of a Polynomial

Related Questions

The equation y=37.8xy=37.8x represents the number of miles, yy, that Julian can drive his car for every xx gallons of gas. Find the rate of change.

Answers

The rate of change of Julian given the equation y = 37.8x is 37.8

How to find the rate of change

The equation:

y = 37.8x

where,

y = number of miles that Julian can drivex = gallons of gas used37.8 = constant = rate of change

If x = 3 gallons

y = 37.8x

= 37.8 × 3

y = 113.4 miles

Learn more about rate of change:

https://brainly.com/question/8728504

Multiplication and __are inverse operations. addition subtraction O division​

Answers

Answer:

Division is the opposite of multiplication

Step-by-step explanation:

Opposites:

Addition and subtraction

multiplication and division

differentiation and integration.

Solve and show the answer in simplest terms 1 over 8 + 1 over 2 + 1 over 4

Answers

Answer:

7 over 8

Step-by-step explanation:

Change all the numerators over the least common denominator. 1+4+2 over 8.

100 BRAINLY POINTS!!!!!!

A cell phone company charges its customers a flat fee of $60 each month for calls and texts, plus an additional $5.00 for each gigabyte of data used. What does the y-intercept of the function represent?

A. the flat fee for calls and texts

B. the cost for each gigabyte of data used

C. the total amount of a monthly bill with 1 gigabyte of data used

D. the total amount of a monthly bill with 2 gigabytes of data used

PLS HELP CUH

EXPLAIN YOUR ANSWER
SHOW YOUR WORK

JUST HELP ME PLSSS

Answers

Flat fee=60Rate of change=5 per GB=Slope

Now

Equation in slope intercept form

y=mx+b

If each GB be x

y=5x+60

Here

yintercept=b=60

Option A is correct

18. Find the surface area of the prism.​

Answers

Step-by-step explanation:

the total surface area is the sum of the individual areas on the surface.

we have

2 triangles (top and bottom)

1 front rectangle

2 rectangles in the back

the area of a triangle is

baseline × height / 2

1.7 × 0.5 / 2 = 0.425 in²

both triangles together : 2×0.425 = 0.85 in²

the area of a rectangle is

length × width

so, the front is

1.7 × 1.5 = 2.55 in²

one back rectangle is

1 × 1.5 = 1.5 in²

both back areas are 2×1.5 = 3 in²

so, the total surface area is

0.85 + 2.55 + 3 = 6.4 in²

(100 POINTS !!) Identify the vertex of the parabola.

Answers

Answer:

(-4,0)

Step-by-step explanation:

Write the expression. Then, complete the statements.


twice the difference of a number and seven


The word "twice" means
.

The words "the difference of" indicate


.

The expression is written as

Answers

Answer:

The equation is 2(x-7)

Hope it is correct

Answer: Write the expression. Then, Complete the statements.

.

.

twice the difference of a number and seven

Step-by-step explanation:

1. multiplication by 2

2. subtraction in parentheses

3. 2(n-7)

So what are the chances of getting a 100% effort out of someone who never tries than someone who does??

Answers

Answer:

someone who doesn't try would have a lower chance of 100% effort and someone who dose try would have a much higher chance of 100% effort

Step-by-step explanation:

i hope this helps!!

I need helppppppppppppppppppp

Answers

Answer:

See explanation

Step-by-step explanation:

look at the photo

I hope it will help you <3

Answer:

Step-by-step explanation:

*The other person that answered may be correct, but this was my way of solving the functions.

I have a recipe to make 48 cupcakes. The recipe says that I need 8 eggs . I only need to make 12 cupcakes . how many eggs will I need​

Answers

Answer:

2 eggs

Step-by-step explanation:

Use a proportion.

48 cupcakes is to 8 eggs as 12 cupcakes is to x eggs.

48/8 = 12/x

Reduce the left fraction.

6 = 12/x

Multiply both sides by x.

6x = 12

Divide both sides by 6.

x = 2

Answer: 2 eggs

Rebecca has $128 to spend. She
spends $78 on a running shoes.
Tank tops cost $12.50 each. Write and
solve an inequality to find how many
tank tops she can buy.

Answers

Answer:

12.5x =10x+10

12.50x=x10+10

subtract 10x from both sides

2.5x=10

divide by 2.5

x=4

The area of a rectangle is 45 m squared, and the length is 6 m less than three times the width. Find the dimensions of the rectangle.

Answers

Answer:

Step-by-step explanation:

Solve for h.

2 < -19 - 7h

Answers

Answer:

h < -3

Step-by-step explanation:

2 < -19 - 7h

2 + 19 < -7h

21 < - 7h

21/7 < -h

bringing -h to the left

-h > 3

changing the sign to positive h

h < -3

solution set : {h < -3}

Hope that helps...

What is the measure of the
missing angle?
64°
97°
?
116°
O
o
78°
72°
80°
83°

Answers

Answer:

? = 83°

Step-by-step explanation:

the sum of the interior angles of a quadrilateral = 360°

sum the angles and equate to 360°

? + 116° + 97° + 64° = 360° , that is

? + 277° = 360° ( subtract 277° from both sides )

? = 83°

Answer:

it is an obtuse angle so that should get rid of some of the answer choices

Step-by-step explanation:

Write the polar equation 0= pi/3

Answers

Answer:

1

(

π

3

)

)

Step-by-step explanation:

Explanation:

Substitute

tan

(

y

x

)

for

θ

tan

(

y

x

)

=

π

3

Obtain

y

x

on the left by using the inverse tangent on both sides:

tan

1

(

tan

(

y

x

)

)

=

tan

1

(

π

3

)

y

x

=

tan

1

(

π

3

)

Multiply both sides by x:

y

=

(

tan

1

(

π

3

)

)

x

Miranda's heart beats 3 times every 2 secounds. At that rate, how many times does her heart beat in 1 minute?

Answers

60/2 =30

30 x 3 = 90

Answer is 90

(PLS HELPP EASYY POINTS )

A company makes piñatas for special events such as birthday parties. One of their piñatas is in the form of a cone shaped hat. How much space do they have inside the piñata for candy if the piñata is 2 feet tall and 1.5 feet wide? Round to the nearest hundredth

Answers

I don't recognize this problem, please make sure the input is complete.

A teacher of a dance class collected data and created a histogram as shown.


Which statement accurately describes the information in the graph?
A.
The data describes the ages of the teachers of an art class.
B.
The data describes the ages of the students in an art class.
C.
The data describes the ages of the students in a dance class.
D.
The data describes the ages of the teachers of a dance class.

Answers

Answer:

C

Step-by-step explanation:

this was quite the toungue twister

A new car is purchased for $31,000 and over time its value depreciates by one half
every 6.5 years. How long, to the nearest tenth of a year, would it take for the value
of the car to be $3,800?

Answers

Using an exponential function, it is found that it would take 19.68 years for the value of the car to be $3,800.

What is an exponential function?

A decaying exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^\frac{t}{n}[/tex]

In which:

A(0) is the initial value.r is the decay rate, as a decimal, after each n years.

In this problem:

The initial value is of $31,000, hence A(0) = 31000.It depreciates by one-half every 6.5 years, hence r = 0.5, n = 6.5.

Then, the equation is:

[tex]A(t) = A(0)(1 - r)^\frac{t}{n}[/tex]

[tex]A(t) = 31000(1 - 0.5)^\frac{t}{6.5}[/tex]

[tex]A(t) = 31000(0.5)^\frac{t}{6.5}[/tex]

The value would be of $3,800 at t for which A(t) = 3800, hence:

[tex]A(t) = 31000(0.5)^\frac{t}{6.5}[/tex]

[tex]3800 = 31000(0.5)^\frac{t}{6.5}[/tex]

[tex](0.5)^\frac{t}{6.5} = \frac{3800}{31000}[/tex]

[tex](0.5)^\frac{t}{6.5} = 0.12258064516[/tex]

[tex]\log{(0.5)^\frac{t}{6.5}} = \log{0.12258064516}[/tex]

[tex]\frac{t}{6.5}\log{0.5} = \log{0.12258064516}[/tex]

[tex]t = 6.5\frac{\log{0.12258064516}}{\log{0.5}}[/tex]

t = 19.68.

It would take 19.68 years for the value of the car to be $3,800.

More can be learned about exponential functions at https://brainly.com/question/25537936

Answer:

t≈19.7

Step-by-step explanation:

I do not have one, I apologize.

solve the equation 5.5g+9=2.5g+27
a. find the value of g.
b. explain how you can check that the value you found for g is correct. if your check does not work, does that your result is incorrect?

Answers

I will clarify you
5.5g+9=2.5g+27
Or, 5.5g-2.5g= 27-9
Or, 3g= 18
Or, g= 18/3
Or, g= 6



Hope it helped you.. I have no doubt that it is incorrect.

100 POINTS !!! Find the axis of symmetry and the vertex of the graph of y = 6x2 − 24x + 11. x = 2; (2, −13) x = 4; (4, 11) x = −2; (−2, 83) x = −4; (−4, −11)

Answers

Let's see

[tex]\\ \rm\rightarrowtail y=6x^2-25x+11[/tex]

Graph attached

vertex(-2,-13)

Axis of symmetry

x=-2

Answer:

axis of symmetry: x = 2

vertex:  (-2, 13)

Step-by-step explanation:

Given function

[tex]\sf y=6x^2-24x+11[/tex]

Vertex form

[tex]\sf y=a(x-h)^2+k[/tex]
where (h, k) is the vertex

Expand vertex form:

[tex]\sf \implies y=ax^2-2ahx+ah^2+k[/tex]

Compare coefficients of expanded vertex form with given function:

coefficient of [tex]\sf x^2[/tex]:  

⇒ a = 6

coefficient of [tex]\sf x[/tex]:  

⇒ -2ah = -24

⇒ ah = 12

⇒ 6h = 12

⇒ h = 2

constant:

⇒ [tex]\sf ah^2+k=11[/tex]

⇒ [tex]\sf 6 \cdot 2^2+k=11[/tex]

⇒ [tex]\sf 24+k=11[/tex]

⇒ [tex]\sf k=-13[/tex]

Vertex

Vertex = (2, -13)

Axis of symmetry

Axis of symmetry is when x = h

Therefore, axis of symmetry is x = 2

Mrs. o'brien used a compass to draw two circles on a coordinate plane. circle a is centered at (3,-1)
and has a radius of 4 units. circle b is centered at (4, 5) and has a
radius of 3 units. select all of the
transformations that can be performed on circle a to prove that it is similar to circle b.

Answers

To prove that circle A is similar to circle B, it needs to be moved 1 unit right and 6 units up and then dilated by a scale factor of 3/4

What is transformation?

Transformation is the movement of a point from its initial location to a new location.

Types of transformation are rotation, translation, dilation and reflection.

To prove that circle A is similar to circle B, it needs to be moved 1 unit right and 6 units up and then dilated by a scale factor of 3/4

Find out more on transformation at: https://brainly.com/question/4057530

how much money is 1 quarter,1 dime and 1 nickle?

Answers

Answer:
40 ¢
0Step-by-step explanation: 25 + 10 + 5 = 40

answer:40

Step-by-step explanation:

a quarter is 25

a dime is 10

a nickle is 5

25+10+5=40

The regular admission price to an amusement park is $28. You have a
coupon for 25% off the regular admission. Find the total cost of admission
to the park when the sales tax is 6% of the reduced price.

Answers

Answer:

$22.26

Step-by-step explanation:

To solve, all we need to do is 28(1-.25) to get 21, then we set up the equation 21(1+.03) and we get our total for the price.

we subtract in the first place, because it is a discount, and we add in the second one because it is a sales tax.

please rate and mark as brainlest.

Tony is flying from Los Angeles to Boston. His plane ticket costs $605 and the total flight distance is 3,052 miles. What is the cost per mile?

Answers

Answer:

AROUND $0.20 per mile

Step-by-step explanation:

605/3052 is around 0.198, which rounds to 0.20.

Is the following relation a function yes or no

Answers

It's function of sinus

...........

Henry is solving the problems 475 x 3. His first step is shown below (400 x ___) + ( 70 x ___ ) + ( 5 x ___ ) What number should Henry write in each of the blanks

Answers

Answer:

(400 × 3 ) + (70 × 3) + (5 × 3)

x = y - 4
-2x + 3y= 6
Solve each system by equation

Answers

Answer:

Point form=(-6,-2)

Equation Form= x=-6, y=-2

Step-by-step explanation:

Find the area. What type of triangle is triangle ABC?

Answers

Answer:

Isosceles right triangles are half squares, and if the length of one side is 6cm, that is the length of the other side since both segments are equal. Take the formula to find the area of a square (base times height), apply the side measurement of the triangle (6cm) and divide it in half to find the area of half of it (therefore, finding the area of the isosceles triangle.) (6x6) / 26x6 = 3636 / 2 = 18 The area of the isosceles triangle is 18 square centimeters.

Step-by-step explanation:

What is the slope of the line that is parallel to the line whose equation is 4x+y-2=0?

Answers

Answer:

4x+y-4=0

Step-by-step explanation: For an equation to be parallel to another all it needs is the same slope but a different y-intercept. So you can really other equations like 4x+y-3=0, 4x+y-5=0, 4x+y-6=0, etc. can be the answer to your problem.

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