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3 years ago

1. Use the function rule. Find y for x = 0, 1, 2, and 3. y = 4x – 2

Mathematics

1 answer:

HACTEHA [7]3 years ago

7 0

The value of y at x = 0, 1, 2, and 3 is -2 ,1,6,10 .

The missing options are

y = –2, 2, 6, 10

y = 2, 6, 10, 14

y = 4, 6, 8, 10

y = –4, –2, 0, 2

<h3>What is a Function ?</h3>

A function is a law that defines relation between a dependent variable and an independent variable .

A function is given

y = 4x-2

x = 0,1,2,3

y = ?

At x = 0

y = -2

x = 1

y = 2

at x =2

y = 6

at x = 3

y = 10

The value of y at x = 0, 1, 2, and 3 is -2 ,1,6,10 .

To know more about Function

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The United States has 435 members of the House of Representatives in Congress. If there are 325.7 million people in the country,

drek231 [11]

Answer:

$1.36\times 10^{-6}:1$

Step-by-step explanation:

We have been given that the United States has 435 members of the House of Representatives in Congress. There are 325.7 million people in the country.

To find the ratio of members to the people, we will find compare both numbers.

1 million equals 1,000,000.

$\text{325.7 million}=325.7\times 1,000,000$

$\text{325.7 million}=3257,000,000$

Ratio of members to the people:

435: 3257,000,000

$0.0000013355848941:1$

$1.3355848941\times 10^{-6}:1$

$1.36\times 10^{-6}:1$

Therefore, our required ratio would be $1.36\times 10^{-6}$ members per person.

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3 years ago

A city's water tower is in the shape of a sphere with a radius of 12 feet. If the tank is full, what is the exact value of the v

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The volume of the tank is 7238.23

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4 years ago

A gardener installed 42.6 meters of fencing in a week. He installed 13.45 meters on Monday and 9.5 meters on Tuesday . He instal

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6.55 meters of fencing. Simply subtract 13.45 meters and 9.5 meters from 42.6 meters, and then divide by 3.

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4 years ago

What is 2 ÷ <br> 1<br> 6<br> ?<br><br> StartFraction 1 Over 12 EndFraction<br> 2<br> 6<br> 12

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Answer:

0.125

Step-by-step explanation:

I calculated 2 divided by 16, and got 0.125.

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2 years ago

HURRYYY !!!! A bacteria population doubles in size every 5 hours. After 5 hours, the sample contains 2,000 bacteria. Which equat

Ainat [17]

Equation of y, the population size after x hours is y = 1000 (1.15)ˣ

<h3>Further explanation</h3>

Firstly , let us learn about types of sequence in mathematics.

Arithmetic Progression is a sequence of numbers in which each of adjacent numbers have a constant difference.

$\boxed{T_n = a + (n-1)d}$

$\boxed{S_n = \frac{1}{2}n ( 2a + (n-1)d )}$

<em>Tn = n-th term of the sequence</em>

<em>Sn = sum of the first n numbers of the sequence</em>

<em>a = the initial term of the sequence</em>

<em>d = common difference between adjacent numbers</em>

<em />

Geometric Progression is a sequence of numbers in which each of adjacent numbers have a constant ration.

$\boxed{T_n = a ~ r^{n-1}}$

$\boxed{S_n = \frac{a( 1 - r^n ) }{1 - r}}$

<em>Tn = n-th term of the sequence</em>

<em>Sn = sum of the first n numbers of the sequence</em>

<em>a = the initial term of the sequence</em>

<em>r = common ratio between adjacent numbers</em>

Let us now tackle the problem!

Let :

Initial number of population = a

After 5 hours → Population = y = a × 2 = 2000

2a = 2000

a = 2000 ÷ 2

a = 1000

After 10 hours → Population = y = a × 2 × 2 = a × 2² = 1000 × 2²

After 15 hours → Population = y = a × 2 × 2 × 2 = a × 2³ = 1000 × 2³

After x hours ↓

Population = y = $1000 \times 2^{\frac{x}{5}}$

Population = y = $1000 \times (2^{\frac{1}{5}})^x$

Population = y = $\large{ \boxed {1000 \times (1.15)^x} }$

Let's prove the equation above :

After 5 hours :

Population = y = $1000 \times (1.15)^5$ = 2011 ≈ 2000 ✔

After 10 hours :

Population = y = $1000 \times (1.15)^{10}$ = 4046 ≈ 4000 ✔

After 15 hours :

Population = y = $1000 \times (1.15)^{15}$ = 8137 ≈ 8000 ✔

<h3>Learn more</h3>

Geometric Series : brainly.com/question/4520950
Arithmetic Progression : brainly.com/question/2966265
Geometric Sequence : brainly.com/question/2166405

<h3>Answer details</h3>

Grade: Middle School

Subject: Mathematics

Chapter: Arithmetic and Geometric Series

Keywords: Arithmetic , Geometric , Series , Sequence , Difference , Term

4 0

4 years ago

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