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tiny-mole [99]
2 years ago
12

I need help proving the y-intercept is 5 but I can't figure it out and will give brainliest if you can show the steps how you go

t the answer!!!!!!!the coordines are (9,5)
And can you help with what I did wrong here

Mathematics
1 answer:
elixir [45]2 years ago
4 0
So, honestly if its allowed you can just graph the equation ti prove the y intercept is five
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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
3 years ago
8(x - 1) - 4 = 4(2x - 3)
nordsb [41]

Answer:

All real numbers.

Step-by-step explanation:

8x-8-4=8x-12

8x-12=8x-12

All real numbers

6 0
3 years ago
Use the correct trig function to find the value of x. SOH, CAH, TOA​
LenaWriter [7]

Answer:

About 11.025

Step-by-step explanation:

\sin{58^\circ}=\dfrac{x}{13}\\\\x=13\cdot\sin{58^\circ} \approx11.025

7 0
3 years ago
What is a=1|2(A+B) H FOR H
Viktor [21]

\dfrac{1}{2}(A+B)H=a\ \ \ \ |\cdot2\\\\(A+B)H=2a\ \ \ \ |:(A+B)\\\\\boxed{H=\dfrac{2a}{A+B}}

7 0
3 years ago
What is 325.623 rounded to the nearest tenth.
makkiz [27]

Answer: 325.623 rounded to the nearest tenth=325.6

Step-by-step explanation:

You take 325.623 and round the 23 on the end down because both numbers are less than five.

5 0
3 years ago
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