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2 years ago

- Higher Order Thinking The quadratic function

Mathematics

1 answer:

erik [133]2 years ago

8 0

Graphs are used to represent real life models

To calculate the diameter, we substitute the value of x in the function,

From the complete question (see attachment for graph), we have the following observations

y represents the diameter of the cereal bowl
x represents is depth

The above statement means that:

y is a function of x

So, when the depth is known (<em>i.e. the value of x is known</em>)

We simply substitute this in the function, to calculate the diameter

Take for instance:

$\mathbf{x = 8}$

The diameter of the bowl would be:

$\mathbf{y = 0.32x^2 - 1.6x + 2}$

Substitute 8 for x

$\mathbf{y = 0.32\times 8^2 - 1.6 \times 8 + 2}$

$\mathbf{y = 20.48 - 12.8 + 2}$

$\mathbf{y = 9.68}$

The above equation means that:

The diameter of the bowl is <em>9.68</em>, when the depth of the bowl is <em>8</em>

Read more about quadratic functions at:

brainly.com/question/5975436

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A ball is thrown from an initial height of 2 meters with an initial upward velocity of 20 m/s. The ball's height h (in meters) a

kap26 [50]

Answer:0.27

Step-by-step explanation:

First, we convert the fraction to a decimal number by dividing the numerator by the denominator:

4 / 15 = 0.266

There are two parts to the decimal number above:

Integer Part: 0

Fractional Part: 266

Now, we will make the Fractional Part just two digits (nearest hundredth) by using our rounding rules.*

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0.27

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4 years ago

Can any one answer everything

Roman55 [17]

I don’t really understand for question 11 to 13

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3 years ago

A(3,4),B(5,8),C(7,8) are the vertices of ABC, prove that the line passing through the mid point of AB and AC is parallel to BC

Ede4ka [16]

<h2>Explanation:</h2><h2></h2>

$The \ midpoint \ formula \ of \ the \ line \ segment \\ that \ joins \ the \ two \ points \ (x_{1},y_{1}) \ and \ (x_{2},y_{2}) \ is \\ given \ by \ the \ following \ Midpoint \ Formula:\\ \\ Midpoint=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$

Let's name the mid point of $AB$ as $c$

Let's name the mid point of $AC$ as $p$

Then:

$c=(\frac{3+5}{2},\frac{4+8}{2}) \\ \\ c=(\frac{8}{2},\frac{12}{2}) \\ \\ c=(4,6) \\ \\ \\ p=(\frac{3+7}{2},\frac{4+8}{2}) \\ \\ p=(\frac{10}{2},\frac{12}{2}) \\ \\ p=(5,6)$

So the slope of the line that passes through $c \ and \ p$ is:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ m_{cp}=\frac{6-6}{5-4}=0$

And the slope for BC is:

$m_{BC}=\frac{8-8}{7-5}=0$

As you can see, both slopes are zero, so these are horizontal lines.

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4 years ago

What are the amplitude, period, phase shift, and midline of f(x) = 7 cos(2x + π) − 3?

8_murik_8 [283]

Thank you for posting your question here at brainly. Feel free to ask more questions.

The best and most correct answer in this question is
Amplitude: 7; period: π; phase shift: x = -π / 2; midline: y = −3.<span>
</span><span>
Hope my answer would be a great help for you.</span>

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4 years ago

Samantha is measuring the snowfall in a snow Gog for her science project. The first week she measured 3 3/4 inches of snow the s

KATRIN_1 [288]

Samantha measured $13\frac{1}{8}$ inches for the entire month

Step-by-step explanation:

Samantha is measuring the snowfall in a snow Gog for her science project

The first week she measured 3 3/4 inches of snow
The second week she measured twice as much snow, and the third week she measured half as much snow as the first week
It did not snow at all in the fourth week

We need to find how much snowfall Samantha measured for the entire month

∵ She measured $3\frac{3}{4}$ inches of snow in the 1st week