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Arlecino [84]
3 years ago
7

List seven guidelines that will help you plan a working budget.

Mathematics
1 answer:
Nutka1998 [239]3 years ago
7 0
Gather financial details, list all sources of income, categorize expenses, list supplies, other expenses, calculate overall cost and subtract from your income, if needed tweak budget.
You might be interested in
HELLPP. ITS URGENT.50 PTS
ICE Princess25 [194]

Answer:

  • 4x² - 13x + 8 = 0
  • 4x² - 11x + 5 = 0
  • 16x² - 41x + 1 = 0
  • x² + 5x + 4 = 0
  • x² - 66x + 64 = 0

Step-by-step explanation:

<u>Given</u>

  • α and β are roots of 4x²-5x-1=0

<u>Then the sum and product of the roots are:</u>

  • α+b = -(-5)/4 = 5/4
  • αβ = -1/4

(i) <u>Roots are α + 1 and β + 1, then we have:</u>

  • (x - (α + 1))(x - (β + 1)) = 0
  • (x - α - 1)(x - β - 1) = 0
  • x² - (α+β+2)x + α+β+ αβ + 1 = 0
  • x² - (5/4+2)x +5/4 - 1/4 + 1 = 0
  • x² - 13/4x + 2= 0
  • 4x² - 13x + 8 = 0

(ii) <u>Roots are 2 - α and 2 - β, then we have:</u>

  • (x + α - 2)(x + β - 2) = 0
  • x² + (a + β - 4)x - 2(α + β) + αβ + 4 = 0
  • x² + (5/4 - 4)x - 2(5/4) - 1/4 + 4 = 0
  • x² - 11/4x - 10/4 - 1/4 + 16/4 = 0
  • x² - 11/4x + 5/4x = 0
  • 4x² - 11x + 5 = 0

(iii) <u>Roots are α² and β², then:</u>

  • (x - α²)(x-β²) = 0
  • x² -(α²+β²)x + (αβ)² = 0
  • x² - ((α+β)² - 2αβ)x + (-1/4)² = 0
  • x² - ((5/4)² -2(-1/4))x + 1/16 = 0
  • x² - ( 25/16 + 1/2)x + 1/16 = 0
  • x² - 33/16x + 1/16 = 0
  • 16x² - 33x + 1 = 0

(iv) <u>Roots are 1/α and 1/β, then:</u>

  • (x - 1/α)(x - 1/β) = 0
  • x² - (1/α+1/β)x + 1/αβ = 0
  • x² - ((α+β)/αβ)x + 1/αβ = 0
  • x² - (5/4)/(-1/4)x - 1/(-1/4) = 0
  • x² + 5x + 4 = 0

(v) <u>Roots are 2/α² and 2/β², then:</u>

  • (x - 2/α²)(x - 2/β²) = 0
  • x² - (2/α² + 2/β²)x + 4/(αβ)² = 0
  • x² - 2((α+β)² - 2αβ)/(αβ)²)x + 4/(αβ)² = 0
  • x² - 2((5/4)² - 2(-1/4))/(-1/4)²x + 4/(-1/4)² = 0
  • x² - 2(25/16 + 8/16)/(1/16)x + 4(16) = 0
  • x² - 2(33)x + 64 = 0
  • x² - 66x + 64 = 0

3 0
3 years ago
Read 2 more answers
In the following diagram CDFG ~ HJLK. use this information to find the value x.
Nataly [62]

Answer:

x=2.25

Step-by-step explanation:

4x=3 x 3

8 0
3 years ago
Read 2 more answers
A pie has been in the oven for some number of minutes. it needs to bake for a total of 60 minutes. for how many more minutes mus
Lesechka [4]

The pie must stay for 60 - x more minutes must the pie bake

<h3>For how many more minutes must the pie bake?</h3>

Let the amount of time spent in the oven be x

So, we have

Total amount of time = 60 minutes

This means that

Remaining time + Amount of time spent = 60

This gives

Remaining time + x = 60

Evaluate

Remaining time = 60 - x

Hence, the pie must stay for 60 - x more minutes must the pie bake

Read more about equations at:

brainly.com/question/2972832

#SPJ1

3 0
1 year ago
On a certain hot​ summer's day, 581 people used the public swimming pool. The daily prices are $1.50 for children and $2.50 for
Tanya [424]

Answer:

A = 219

C = 362

Step-by-step explanation:

Given,

581 = C + A

and

$1090.50 = 1.5C + 2.5A

solve 1st for A

A =581 - C

substute into 2nd

1090.50 = 1.5C + 2.5(581 - C)

solve for C

1090.50 = 1.5C + 1452.50 - 2.5C

1090.50 = -C + 1452.50

1090.50 - 1452.50 = -C

-362 = -C

C = 362

then

581 = C + A

581 = 362 + A

219 = A

A = 219

8 0
2 years ago
The admission fee for a charity event is $7 for children and $10 for adults. The event was attended by 700 people, and the total
maria [59]
If all were children, revenue would be 700*$7 = $4900. Revenue is actually $6400 -4900 = $1500 more than that. Each adult admission that replaces a child's admission adds $10 -7 = $3 to the revenue, so there must have been
  $1500/$3 = 500 . . . . adult admissions

There were 200 children at the show.
There were 500 adults at ths show.
6 0
3 years ago
Read 2 more answers
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