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Fiesta28 [93]
4 years ago
8

Factoring quadratic questions

mula1" title="x ^{2} - 7x - 30 = 0" alt="x ^{2} - 7x - 30 = 0" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
just olya [345]4 years ago
4 0

(x-10) (x+3) is the factored form

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Does anyone know how to solve this math problem?
bezimeni [28]

Answer:

  • $2133.33

Step-by-step explanation:

<u>Given:</u>

  • Rate per hour = $6
  • Number of hours = 5
  • Tips = 15%

Lets the total amount of tabs = t

<u>We have inequality:</u>

  • 6*5 + 0.15t ≥ 350
  • 30 + 0.15t ≥ 350
  • 0.15t ≥ 320
  • t ≥ 320/0.15
  • t ≥ 2133.33
5 0
3 years ago
A company that teaches self-improvement seminars is holding one of its seminars in Middletown. The company pays a flat fee of $1
Nutka1998 [239]

Answers:

To reach the breakeven point, how many attendees will that take?  <u>   117   </u>

What will be the company's total expenses and revenues?  <u>    $1755  for each   </u>

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

Explanation:

x = number of attendees

C(x) = cost function for the company

C(x) = 14x+117

This is because the company pays $14 per person, so x of them accounts for 14x dollars. Then we add on the flat fee of $117 to get 14x+117 dollars overall.

In contrast, the revenue is

R(x) = 15x

because each attendee brings in $15 for the company

The breakeven point is when the cost and revenue are the same. This produces a profit of $0.

R(x) = C(x)

15x = 14x+117

15x-14x = 117

x = 117

If 117 people attend the seminar, then the company breaks even.

To check this, we'll compute the cost and revenue

C(x) = 14x+117

C(117) = 14*117+117

C(117) = 1755

R(x) = 15x

R(117) = 15*117

R(117) =  1755

The cost and revenue is $1755 for each. Because we get the same value, this confirms the correct x value.

Since 117 people is the breakeven point, the company should aim for an attendee count above this, so they can get a positive profit. At some point, there is a max capacity so x can't go up forever.

7 0
2 years ago
The data displayed by the graph indicate that in 2000,
MrMuchimi

Using an linear function, we find that by 2020 only 11% of all American adults believe that most qualified students  get to attend college.

-----------------------------------------

A decaying linear function has the following format:

A(t) = A(0) - mt

In which

  • A(0) is the initial amount.
  • m is the slope, that is, the yearly decay.

  • In 2000, 45% believed, thus, A(0) = 45
  • Decaying by 1.7 each year, thus m = 1.7.

The equation is:

A(t) = 45 - 1.7t

It will be 11% in t years after 2000, considering t for which A(t) = 11, that is:

11 = 45 - 1.7t

1.7t = 34

t = \frac{34}{1.7}

t = 20

2000 + 20 = 2020

By 2020 only 11% of all American adults believe that most qualified students  get to attend college.

A similar problem is given at brainly.com/question/24282972

7 0
2 years ago
I really need to finish this by the end of today so could someone pls help me as fast as possible!!?
Elden [556K]

Answer:

4

Step-by-step explanation:

5 0
3 years ago
Kipton puts one marshmallow on the scale and it weighs 7.2 grams. How much would 10 marshmallows weigh?
Maksim231197 [3]

Answer:

72 grams

Step-by-step explanation:

7.2 x 10 = 72

7 0
3 years ago
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