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irina1246 [14]
3 years ago
7

If david run 3 times he covers a distance of __ yards

Mathematics
2 answers:
grigory [225]3 years ago
6 0
But how many feet is he running each time?
Andre45 [30]3 years ago
3 0
How many miles or inches is the place that he ran 3 times?
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Amiraneli [1.4K]

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8 0
2 years ago
(-6, 1) and 3, 5)<br> M= rise/run=(y2-y1)/(x2-x1)
Sergeeva-Olga [200]

Answer:

4/9

Step-by-step explanation:

The slope of these points would be: (5-1)/(3+6) = 4/9

7 0
3 years ago
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
Compute the difference quotient StartFraction f left parenthesis x plus h right parenthesis minus f left parenthesis x right par
kenny6666 [7]

Answer:

\dfrac{f(x+h) - f(x)}{h}=-8x-4h-3

Step-by-step explanation:

f(x)=-4x^2-3x-4

f(x+h)=-4(x+h)^2-3(x+h)-4

f(x+h)=-4(x^2+2xh+h^2)-3(x+h)−4

f(x+h)=-4x^2-8xh-4h^2-3x-3h-4

f(x+h) - f(x)=-4x^2-8xh-4h^2-3x-3h-4-(-4x2-3x-4)

f(x+h) - f(x)=-4x^2-8xh-4h^2-3x-3h-4+4x2+3x+4

f(x+h) - f(x)=-8xh-4h^2-3h

f(x+h) - f(x)=h(-8x-4h-3)

\dfrac{f(x+h) - f(x)}{h}=\dfrac{h(-8x-4h-3)}{h}

\dfrac{f(x+h) - f(x)}{h}=-8x-4h-3

7 0
3 years ago
How close is the t-value to the corresponding z-value (at the bottom of the column for<br> d.f.= ∞)?
MrMuchimi
Yoy multiply 55 and 99 and get 5000 and than you times it an get your answer
3 0
3 years ago
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