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Natasha2012 [34]
2 years ago
15

If α and β are the zeroes of the polynomial ax^2 + bx + c, find the value of α^2 + β^2

Mathematics
1 answer:
Pie2 years ago
7 0

Answer:

Step-by-step explanation:

α + β = -b/a

αβ = c/a

α² + β² = (α + β)² - 2αβ

           = (\frac{-b}{a})^{2}-2\frac{c}{a}\\\\= \frac{b^{2}}{a^{2}}-\frac{2c}{a}\\\\=\frac{b^{2}}{a^{2}}-\frac{2c*a}{a*a}\\\\=\frac{b^{2}-2ca}{a^{2}}

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The length of a rectangle is 1 more than 3 times the width. 5 times the length is 45 more than the perimeter. Find the dimension
Murljashka [212]

Answer:

width = w

length= 3w+1

perimeter= 5(3w+1) -45

perimeter     =   2(l+b)

5(3w+1) -45 = 2{(3w+1)+w}

  15w  - 40   =  8w+2

             6w  = 42

               w  =7

therefore width = <u>7</u>

 length= 3w+1  =  <u>22</u>

perimeter=  <u>65</u>

Step-by-step explanation:

3 0
2 years ago
Currently, Nora is 3 time as old as damon. In 8 years she will be only 2 time as old as Damon. How old will Damon will be in 8 y
Ann [662]

In 8 years Damon will be 16 year's old.

We have Nora who 3 time as old as Damon and in 8 years she will be only 2 time as old as Damon.

We have to determine how old will Damon  be in 8 years.

<h3>If your present age is x and your sister is 4 years elder than you. Than what will be her age after 5 years from now.</h3>

Your present age = x.

Hence, your sister's present age = x + 4.

After five years, your age = x + 5.

Hence, your sister's age will be = x + 9.

According to question, we have -

Assume that the present age of Damon is x.

Then, Nora's age will be = y = 3x.

After 8 years -

Damon's age = x + 8

Nora's age = 3x + 8

Therefore -

3x + 8 = 2(x + 8)

3x + 8 = 2x + 16

x = 8

Hence, in 8 years Damon will be = 8 + 8 = 16 year's old.

To solve more questions on Age determination, visit the link below -

brainly.com/question/14580151

#SPJ1

6 0
1 year ago
Felipe's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A costs Felipe $4.55 per lb. Type B costs $5.7
RUDIKE [14]

Answer:

Type A coffee in lbs = 97 lbs

Step-by-step explanation:

Type a = 4.55/lbs = x

type b = 5.70/lbs =  y

Total in lbs = 147lbs

total in sales = 726.50

First,

x + y = 147 lbs    -------------------equ 1

4.55x + 5.70y = lbs    ------------ equ 2

<em>Multiply equ 1 by 4.55</em>

4.55x + 4.55y = 668.85  -------------equ 3

4.55x + 5.70y = 726.50   ------------equ 4

<em>Subtracting equ 3 from equ 4</em>

1.15y = 57.65

y = 50

<em>Substituting y = 50 into equ 1</em>

x + 50 = 147

x = 97

7 0
3 years ago
4 equals 2 m -5 n 4 m
Ostrovityanka [42]
M = 6 - 5n hope this helps
7 0
3 years ago
A chef turned on a faucet and filled a 2-gallon pot in 5 6 of a minute. What is the rate of water flow? Simplify your answer and
NARA [144]

Answer: Rate of water flow is 12/5 gallon per minute

Step-by-step explanation:

Given the following :

Volume of faucet pot = 2 gallon

Time taken to fill the faucet pot = 5/6 of a minute = (5/6) minute.

Rate of water flow:

Volume of faucet pot / time taken

= 2 gallon ÷ (5/6) minute

= 2 gallon × (6/5) minutes

= (12 /5) gallon / minute

= 2 2/5 gallon / minute

Hence rate of water flow is 12/5 gallon per minute.

7 0
3 years ago
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