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3 years ago

ASAP PLEASE HELP ME!!!!!!!!!!!!!!

Mathematics

2 answers:

mariarad [96]3 years ago

8 0

Answer:

Average: 3250

Step-by-step explanation:

insens350 [35]3 years ago

8 0

Answer is 150 ft per hour.

Details: Elevation at 3 hours is 3500. Elevation at 1 hour is 3200. (3500-3200)/(3-2)=300/2=150

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What is the equation of the quadratic graph with a focus of (3, 1) and a directrix of y = 5?

telo118 [61]

Answer:

$f(x)=-\frac{1}{8}(x-3)^2+3$

Step-by-step explanation:

We want to find the equation of the parabola with a focus of $(3,1)$ and directrix $y=5$ .

Considering the directrix, the quadratic graph must open downwards.

The equation of this parabola is given by the formula,

$(x-h)^2=4p(y-k)$ , where $(h,k)$ is the vertex of the parabola.

The axis of this parabola meets the directrix at $(3,5)$ .

Since the vertex is the midpoint of the focus and the point of intersection of the axis of the parabola and the directrix,

$h=\frac{3+3}{2}=3$ and $k=\frac{5+1}{2}=3$ .

The equation of the parabola now becomes,

$(x-3)^2=4p(y-3)$ .

Also $|p|$ is the distance between the vertex and the directrix.

$|p|=2$

This implies that $p=-2\:or\:2$ .

Since the parabola turns downwards,

$p=-2$ .

Our equation now becomes,

$(x-3)^2=4(-2)(y-3)$ .

$(x-3)^2=-8(y-3)$ .

We make y the subject to get,

$y=-\frac{1}{8}(x-3)^2+3)$ .

This is the same as

$f(x)=-\frac{1}{8}(x-3)^2+3)$ .

4 0

3 years ago

A rectangular prism is a

OleMash [197]

Answer: Three dimensional

Step-by-step explanation:

A rectangular prism is a three-dimensional shape.

[] A one-dimensional shape is a line

[] A two-dimensional shape is a rectangle, circle, etc

[] This means that a rectangular prism is a three-dimensional shape

5 0

2 years ago

What is the average rate of change for the line shown in the graph

kompoz [17]

Answer:

The average rate of change is 10.

Step-by-step explanation:

Since the average rate of change is the slope of a line, you'd solve this problem by finding the slope.

First, you can start by using the $\frac{y_2-y_1}{x_2-x_1}$ method.

Plug in the points (0,10) and (1,20).

$\frac{20-10}{1-0} =\frac{10}{1} =10$

Therefore your answer is 10.

Hope this helped!

6 0

2 years ago

You're at a halloween fair with a big ferris wheel. the wheel has ten chairs and people are seated two per chair. every minute a

miskamm [114]

The number of people who took ride in the big ferris wheel at a fair can be calculated by proper dimensional analysis. This can be done through the equation below,

n = (number of minutes)(rate at which the chair passes the exit platform)(number of persons per chair)

Substituting the known values to the equation,

n = (30 minutes)(1 chair / minute)(2 persons / chair)
n = 60 persons

Answer: 60 persons

8 0

3 years ago

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Rina8888 [55]

Answer:

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2 years ago