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Deffense [45]
2 years ago
14

Ashton walked into the restaurant and four employees were working registers usually trendline equation to predict how long he wi

ll wait to place his order?
Mathematics
1 answer:
MrRa [10]2 years ago
8 0

Answer:

idk

Step-by-step explanation:

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A store sells both cold and hot beverages. Cold beverages, c, cost $1.50, while hot beverages, h, cost $2.00. On Saturday, drink
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2h + 4h  (1.5c) = 360 so option b is correct.
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In circle p, st = 30 ft. what is the circumference of the circle? 45p ft 15p ft 10p ft 30p ft
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The answer to this question is:

<span>In circle p, st = 30 ft. what is the circumference of the circle?
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5 0
2 years ago
Which graph represents a line with a slope of and a y-intercept equal to that of the line y = x – 2? A coordinate plane with a l
Vera_Pavlovna [14]

Answer:

(A)A coordinate plane with a line starting at (negative 2, negative 4), passing through (0, negative 2) and (2, 1).

Step-by-step explanation:

Given the line: y=x-2

Comparing with the slope-intercept form y=mx+b

  • Slope, m=1
  • y-intercept is -2.

Therefore, the point (0,-2) must be on the line.

Only Options A and D have this point.

We then determine which has a slope, m=1.

<u>Option A</u>

Using points (-2,-4) and (0,-2)

Slope, m=\dfrac{-2-(-4)}{0-(-2)} =\dfrac{-2+4}{2}=1

<u>Option D</u>

Using points (-3,0) and (0,-2)

Slope, m=\dfrac{-2-0}{0-(-3)} =-\dfrac{2}{3}

Therefore, Option A satisfy the requirements.

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2 years ago
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Seventy of Myra’s classmates are traveling by bus to a football game in another town. They hired 2 buses, but there were only 64
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Answer:

C. the number of students who rode on each bus.

Step-by-step explanation:

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This description assumes the elliptic object is centered at (0, 0). However, since the elliptic object is not fixed, initially i
yKpoI14uk [10]

Complete Question

The complete question is shown on the first and second uploaded image

Answer:

The derived h = \frac{b^{2} - 2a^{2}  }{2a^{2}}

Step-by-step explanation:

Step One : Consider the ellipse in equilibrium.

Looking at the ellipse in equilibrium i.e when the ellipse has settled down on the concave support (represented by a parabola ) as shown on the third uploaded image.

Step Two : Consider the ellipse equation.

Generally the equation of the ellipse is given as

                       \frac{x^{2}}{a^{2}} + \frac{(y-h)^{2}}{b^{2}}\\

Also the base on which it rest at equilibrium i.e the parabola is represented by     y = x^{2} -1

Substituting the value of y in the ellipse equation we have

        \frac{x^{2}}{a^{2}}+ \frac{(x^{2}-1-h)^{2}}{b^{2}}=1

Let x^{2} = t

So the equation becomes

                 \frac{t}{a^{2}} + \frac{(t -1 -h)^{2}}{b^{2}} =1

Rearranging, we get :

       a^{2} t^{2} + (b^{2}- 2a^{2}(h +1))t + a^{2}((h +1 )^{2} -b^{2} =0

This equation above is a quadratic equation or a bi-quadratic equation in x as t = x^{2}

Step Three : Relate the equation an the graph on the third uploaded image  

We can see that from the graph , if A and B are the two values of x for which the points is made , then A + B = 0 (because they are symmetric in nature)

From Vieta's Roots(Vieta's formula  is a formula that shows the relationship between the coefficients of a polynomial and the sum of its roots )

ax^{2} + bx + c =0

with A and B as roots

A+B = \frac{-b}{a}

But A + B = 0

So  \frac{-b}{a}   = 0

 or we can say that

              \frac{b^{2} - 2a^{2}(h +1 )}{a^{2}}

Rearranging we get

                        h = \frac{b^{2}- 2a^{2}}{2a^{2}}

5 0
2 years ago
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