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Andrew [12]
3 years ago
11

Which table contains only values that satisfy

Mathematics
1 answer:
Anna007 [38]3 years ago
4 0

Answer:

Table A

y = 1.5x + 4 \\ table \: A \: satisfies \: the \: equation

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I need a bit of help on this one: mr. james borrows money from the bank to buy a new car. he borrows 10,000 at 3% for 5 years. H
EastWind [94]

Answer:

Between $11,000-$11,500  

Between $10,500-$11,000  

Between $9,500-$10,000  

Between $9,000-$9,500  

Between $10,000-$10,500

Correct answer:

Between $10,000-$10,500

8 0
3 years ago
6. Spiderman is three times as old as Superman.
anyanavicka [17]
Spider-Man 120
Superman 40
7 0
3 years ago
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What is the fuction for the graph?
Andrews [41]

The <em>piecewise defined</em> function is formed by the following three functions: y = 40, for 0 ≤ x < 15, y = 0.0425 · x² - 3.8 · x + 87.438, for 15 ≤ x < 65 and y = 0.4 · x - 6, for x ≥ 65.

<h3>What is the piecewise defined function behind the graph?</h3>

In this problem we have a <em>piecewise defined</em> function formed by three functions: (i) <em>Linear</em> equation, (ii) <em>Quadratic</em> equation, (iii) <em>Linear</em> equation. The <em>first</em> function is y = 40, for 0 ≤ x < 15.

The <em>second</em> function can be found based on the knowledge of three points:

y = a · x² + b · x + c

(x₁, y₁) = (15, 40)

40 = 225 · a + 15 · b + c

(x₂, y₂) = (45, 2.5)

2.5 = 2025 · a + 45 · b + c

(x₃, y₃) = (65, 20)

20 = 4225 · a + 65 · b + c

And the <em>quadratic</em> equation is y = 0.0425 · x² - 3.8 · x + 87.438, for 15 ≤ x < 65.

And the <em>latter linear</em> equation is:

y = m · x + b

m = (30 - 20)/(90 - 65)

m = 0.4

And the x-intercept is:

b = y - m · x

b = 20 - 0.4 · 65

b = - 6

The <em>linear</em> equation is y = 0.4 · x - 6, for x ≥ 65.

The <em>piecewise defined</em> function is formed by the following three functions: y = 40, for 0 ≤ x < 15, y = 0.0425 · x² - 3.8 · x + 87.438, for 15 ≤ x < 65 and y = 0.4 · x - 6, for x ≥ 65.

To learn more on piecewise defined functions: brainly.com/question/12561612

#SPJ1

7 0
2 years ago
A right cone has a slant height of 20 feet, and the diameter of the base is 24
ipn [44]

Answer:

D. 16 ft

Step-by-step explanation:

h = √20² - (24/2)² = √400-144 = √256 = 16

7 0
3 years ago
Review the table.
Lynna [10]

Answer:

The function that models the scenario is given as follows;

P(t) = \dfrac{500}{1 + 49 \cdot e^{-0.5 \cdot t}}

Step-by-step explanation:

The table of values are presented as follows;

The number of days, t, since the rumor started: 0, 1, 2, 3, 4, 5

The number of people, P, hearing the rumor: 10, 16, 26, 42, 66, 100

Imputing the given functions from the options into Microsoft Excel, and

A = P(t) = \dfrac{250}{1 + 24 \cdot e^{-0.5 \cdot t}}

B = P(t) = \dfrac{500}{1 + 49 \cdot e^{-0.5 \cdot t}}

C = P(t) = \dfrac{750}{1 + 74 \cdot e^{-0.5 \cdot t}}

D = P(t) = \dfrac{1000}{1 + 99 \cdot e^{-0.5 \cdot t}}

solving using the given values of the variable, t, we have;

P                t               A                 B       {}             C                      D

10        {}      0        {}     10        {}         10        {}          10        {}             10

16        {}      1        {}      16.07021       16.27604      16.34583        {} 16.38095

26        {}     2        {}     25.43466      26.2797       26.574             26.72363

42        {}     3        {}     39.33834      41.89929      42.82868         43.30901

66        {}     4        {}     58.85058      65.51853      68.09014         69.45316

100        {}   5        {}     84.17395        99.55866    106.0177          109.5721

Therefore, by comparison, the function represented by B = P(t) = \dfrac{500}{1 + 49 \cdot e^{-0.5 \cdot t}} most accurately models the scenario.

7 0
3 years ago
Read 2 more answers
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