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Nesterboy [21]
2 years ago
6

Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following

Mathematics
1 answer:
gregori [183]2 years ago
8 0

Answer:

  (1/4, 5 7/8)

Step-by-step explanation:

The vertex is the extreme point of the graph. Here, it is a minimum.

For this quadratic function, a graphing calculator can tell you exactly what the vertex is. (No approximation is required.)

__

The graphing calculator in the attachment shows the vertex is ...

  (0.25, 5.875) = (1/4, 5 7/8)

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In an area of the Midwest, records were kept on the relationship between the rainfall (in inches) and the yield of wheat (bushel
Liula [17]

Answer:

Option A is correct.

y = 35.4 bushels per acre when rainfall = 7.1 inches

Step-by-step explanation:

An image of the steps to obtain the equation that relates x to y is attached to this answer.

n = number of variables = 9

μₓ = mean of variable x (rainfall in inches)

μᵧ = mean of variable y (yield in bushels per acre)

σₓ = standard deviation of variable x (rainfall in inches)

σᵧ = standard deviation of variable y (yield in bushels per acre)

y = 4.379x + 4.268

when x = 7.1

y = 4.379(7.1) + 4.268 = 35.3589 = 35.4 bushels per acre.

7 0
3 years ago
Mario compared the slope of the function graphed below to the slope of the linear function that has an x-intercept of 1 and a y-
Lelu [443]

Answer:

The slope of the function graphed is less than the linear function that has an x-intercept of 1 and a y-intercept of -2.

Step-by-step explanation:

It is given that x-intercept is 1 and y-intercept is -2.

Now, the coordinate of the point is (1,0) and (0,-2).

We know that,

Slope = \dfrac{y_2-y_1}{x_2-x_1}

S_1=\dfrac{-2-0}{0-1}

S_1 = \dfrac{-2}{-1}

S_1=2

Now, Slope of the graph given

Co-ordinate is (-5,0) and (1,2).

Using the formula of slope

S_2 = \dfrac{2-0}{1-(-1)}

S_2 = \dfrac{2}{1+1}

S_2 = \dfrac{2}{2}

S_2 =1

Now, S_1>S_2

Hence, the slope of function graphed is less than linear function that has an x-intercept of 1 and a y-intercept of -2.

7 0
3 years ago
Describe the vector as an ordered pair around coordinates to the nearest 10th the diagram is not drawn to scale
xxMikexx [17]

Answer:

see explanation

Step-by-step explanation:

x = r cosΘ

y = r sinΘ

with r = 54 and Θ = 69°, thus

x = 54cos69° ≈ 19.4

y = 54sin69° ≈ 50.4

Thus (54, 69° ) as an ordered pair

= \left[\begin{array}{ccc}19.4\\50.4\\\end{array}\right]

4 0
3 years ago
A cement walkway of uniform width has been built around an in-ground rectangular pool. the area of the walkway is 1344 square fe
Elza [17]

Answer:

6 feet.

Step-by-step explanation:

Dimensions of the Pool =80 feet long by 20 feet wide

Area of the walkway =1344 square feet.

If the width of the walkway=w

  • Length of the Larger Rectangle =80+2w
  • Width of the Larger Rectangle =20+2w

Area of the Walkway =Area of the Larger Rectangle - Area of the Pool

1344=(80+2w)(20+2w)-(80*20)\\1344=80*20+160w+40w+4w^2-80*20\\4w^2+200w=1344\\4w^2+200w-1344=0\\We factorize\\4(w^2+50w-336)=0\\4(w^2-6w+56w-336)=0\\w(w-6)+56(w-6)=0\\(w-6)(w+56)=0\\w-6=0$ or $ w+56=0\\w=6$ ft or $ w=-56$ \\Therefore, the width of the walkway , w=6 feet.

6 0
3 years ago
Choose the function that represents the data in the table.
viva [34]

y = 2 {x}^{2}  - 3

\huge\underline\mathtt\colorbox{cyan}{Explanation thing:}

Using hit and trial, you van find it pretty easily-

  • Putting x=0, we get y=-3
  • Putting x=1, we get y=-1
  • Putting x=2, we get y=5

You can try it for yourself as well, for me, I couldn't find any other option appropriate.

4 0
2 years ago
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