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2 years ago

Christopher is analyzing a circle, y2 + x2 = 121, and a linear function g(x). Will they intersect?

Mathematics

1 answer:

serg [7]2 years ago

7 0

The complete question and the picture in the attached figure

we have that
y^2 + x^2 = 121
is a circle with center at (0,0) and radius r=11 units
and
g(x)
points (-1,14) (0,12) (1,10)

using a graph tool
see the attached figure

the answer is
A. Yes, at the positive x coordinates.

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Answer:

How many more games will Aditi have to win to have an 80% winning record?

The linear equation that models this is:

12 + x = 0.80(x+20)

Aditi would have to win 20 more games to have an 80% winning record.

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2 years ago

Read 2 more answers

Membership to a racket ball club has an application fee and a monthly fee that can be modeled by the function c(m) = 12.50m + 49

Ghella [55]

Answer: the last one

Step-by-step explanation:

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2 years ago

The table shows the profits (y) in millions of dollars for Buffalo Wild Wings for each year (x) from 2007 through 2013, where x=

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a) See attached diagram.

b) The slope can be obtained by the formula:

$m_i=\dfrac{y_{i+1}-y_i}{x_{i+1}-x_i}.$

Now

$m_1=\dfrac{24.4-19.7}{8-7}=4.7;$
$m_2=\dfrac{30.7-24.4}{9-8}=6.3;$
$m_3=\dfrac{38.4-30.7}{10-9}=7.7;$
$m_4=\dfrac{50.4-38.4}{11-10}=12;$
$m_5=\dfrac{57.3-50.4}{12-11}=6.9;$
$m_6=\dfrac{71.6-57.3}{13-12}=14.3;$

The greatest increases were from 2012 till 2013 years and the least increases were from 2007 till 2008 years.

c) Using graphing calculator, the equation of the line (black line in the diagram) is

$y\approx 0.71x^2-5.58x+23.76.$

d) Since the slopes are different, this line is not straight. From the given data you can predict that the "best fit" is quadratic function.

e) In 2017, find

$y(17)\approx 0.71\cdot 17^2-5.58\cdot 17+23.76\approx 134.09$

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2 years ago

Chadwick bought 50 shares of Chipotle stock on Nov 1, 2016 for $396.33 share. He sold the shares four years later, with the per

scoray [572]

Answer:

Step-by-step explanation:

Given the following :

Number of shares purchased (2016) = 50

Purchase price of shares $396.33 per share

Closing price per share four years later = $778.38

A) What did Chadwick pay for all of the shares in 2016?

Purchase price per share × number of shares.

$396.33 × 50 = $19,816.50

B) What was the closing value of all of the shares four years later?

Closing price per share × number of ahaf

=$778.38 × 50

= $38,919

C.) Profit on stock :

$(38,919 - 19,816.50)

= $19,102.5

D) What is his rate of return on his shares when he sold them?

(Current Purchase - initial value) /current price

(778.3 - 396.33) / 396.33

= (381.97 / 396.33) 100%

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2 years ago

Have you ever been swimming in a pool, and your eyes were red when you get out? This means the chemicals in the pool were not ad

soldier1979 [14.2K]

pH = f(x) = -log₁₀x

1. Graphs

I used Excel to calculate the pH values and draw the graphs (see the Figure).

f(x) and f(x) +1 are plotted against the left-hand axis, while f(x+ 1) is plotted against the expanded right-hand axis.

The points at which pH = 0 and pH = 1 are indicated by the large red dots.

2. x = 0.5

When x = 0.5, pH ≈0.30. The point is indicated by the red diamond.

3. Transformations

(a) ƒ(x) = -log(x) + 1

This function has no y-intercept, because log(0) is undefined.

(b) ƒ(x +1) = -log(x + 1)

f(0) = -log(0 + 1) = -log(1) = 0

This function has a y-intercept at (0,0).

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2 years ago