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Alexeev081 [22]
1 year ago
9

Which unit would you most likely use to represent the time it takes to drive to your friend's house, which is five miles from yo

ur house?
A. Days
B. Seconds
C. Minutes
D. Hours
Mathematics
2 answers:
Leokris [45]1 year ago
8 0

Answer:

C. minutes

Step-by-step explanation:

BlackZzzverrR [31]1 year ago
3 0

Answer: C minutes.

Step-by-step explanation:

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House of Mohammed sells packaged lunches, where their finance department has established a
blagie [28]

The revenue function is a quadratic equation and the graph of the function

has the shape of a parabola that is concave downwards.

The correct responses are;

  • (a) <u>R = -x² + 82·x</u>
  • (b) <u>$1,645</u>
  • (c) The graph of <em>R</em> has a maximum because the <u>leading coefficient </u>of the quadratic function for <em>R</em> is negative.
  • (d)  <u>R = -1·(x - 41)² + 1,681</u>
  • (e) <u>41</u>
  • (f) <u>$1,681</u>

Reasons:

The given function that gives the weekly revenue is; R = x·(82 - x)

Where;

R = The revenue in dollars

x = The number of lunches

(a) The revenue can be written in the form R = a·x² + b·x + c by expansion of the given function as follows;

R = x·(82 - x) = 82·x - x²

Which gives;

  • <u>R = -x² + 82·x </u>

<em>Where, the constant term, c = 0</em>

(b) When 35 launches are sold, we have;

x = 35

Which by plugging in the value of x = 35, gives;

R = 35 × (82 - 35) = 1,645

  • The revenue when 35 lunches are sold, <em>R</em> = <u>$1,645</u>

(c) The given function for <em>R</em> is R = x·(82 - x) = -x² + 82·x

Given that the leading coefficient is negative, the shape of graph of the

function <em>R</em> is concave downward, and therefore, the graph has only a

maximum point.

(d) The form a·(x - h)² + k is the vertex form of quadratic equation, where;

(h, k) = The vertex of the equation

a = The leading coefficient

The function, R = x·(82 - x), can be expressed in the form a·(x - h)² + k, as follows;

R = x·(82 - x) = -x² + 82·x

At the vertex, of the equation; f(x) = a·x² + b·x + c,  we have;

\displaystyle x = \mathbf{-\frac{b}{2 \cdot a}}

Therefore, for the revenue function, the x-value of the vertex, is; \displaystyle x = -\frac{82}{2 \times (-1)} = \mathbf{41}

The revenue at the vertex is; R_{max} = 41×(82 - 41) = 1,681

Which gives;

(h, k) = (41, 1,681)

a = -1 (The coefficient of x² in -x² + 82·x)

  • The revenue equation in the form, a·(x - h)² + k is; <u>R = -1·(x - 41)² + 1,681</u>

(e) The number of lunches that must be sold to achieve the maximum revenue is given by the x-value at the vertex, which is; x = 41

Therefore;

  • The number of lunches that must be sold for the maximum revenue to be achieved is<u> 41 lunches</u>

(f) The maximum revenue is given by the revenue at the vertex point where x = 41, which is; R = $1,681

  • <u>The maximum revenue of the company is $1,681</u>

Learn more about the quadratic function here:

brainly.com/question/2814100

6 0
2 years ago
last week 24% of the campers at a state park were visiting from out of state this weekend additional 12% are from out of state i
lesya692 [45]
Work: x/175=12%/100
multiply 175 by 2 and then you divide it by 100
answer: 21 are visiting from out of state.
5 0
3 years ago
Helllpppppppppppppkeiei
azamat

Answer:

5x-5

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Need help on question 5 please help
blagie [28]

Answer:

  $66

Step-by-step explanation:

It can be convenient to assign a different variable to the amount of money each spent. We can call the amounts spent by Seedevi, Georgia, and Amy "s", "g", and "a", respectively.

The problem statement tells us ...

  s = (1/2)g

  s = a +6

  s + g + a = 258

__

The problem statement asks for the amount Seedevi spent, so we need to find the value of s. It is convenient to write the other variables in terms of s:

  g = 2s

  a = s -6

Then the sum is ...

  s + (2s) +(s -6) = 258

  4s = 264 . . . . . . . . . . . add 6, simplify

  s = 66 . . . . . . . . . . . . . .divide by 4

Seedevi spent $66.

4 0
3 years ago
Need help with this asap
Katarina [22]

There is no relationship between the number of hours cycled and the number of hours worked (Option D).

<h3>What is a scatterplot?</h3>

A scatterplot is a graph that is used to show the association between two variables. The relationship between the variables is shown by the use of  line of best fit.

From the scatterplot shown, we can conclude that there is no relationship between the number of hours cycled and the number of hours worked (Option D).

Learn more about scatterplot:brainly.com/question/25280625

#SPJ1

7 0
2 years ago
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