All categories

3 years ago

Graph y= 2x-2 with the domain (1,2,3)

Mathematics

1 answer:

Mamont248 [21]3 years ago

3 0

Graph attached.
To graph by hand find the values at 1 and 3 by plugging it into the original function and drawing a line between the two.
2(1)-2 = 0 Point (1,0)
2(3)-2 = 4 Point (3,4)

You might be interested in

Mohamed decided to track the number of leaves on the tree in his backyard each year The first year there were 500 leaves Each ye

svetlana [45]

Answer:

The required recursive formula is

$f(n)= 500\times(1.4)^{n-1}\\$

Step-by-step explanation:

Mohamed decided to track the number of leaves on the tree in his backyard each year.

The first year there were 500 leaves

$Year \: 1 = 500$

Each year thereafter the number of leaves was 40% more than the year before so that means

$Year \: 2 = 500(1+0.40) = 500\times 1.4\\$

For the third year the number of leaves increase 40% than the year before so that means

$Year \: 3 = 500\times 1.4(1+0.40) = 500 \times 1.4^{2}\\$

Similarly for fourth year,

$Year \: 4 = 500\times 1.4^{2}(1+0.40) = 500\times 1.4^{3}\\$

So we can clearly see the pattern here

Let f(n) be the number of leaves on the tree in Mohameds back yard in the nth year since he started tracking it then general recursive formula is

$f(n)= 500\times(1.4)^{n-1}\\$

This is the required recursive formula to find the number of leaves for the nth year.

Bonus:

Lets find out the number of leaves in the 10th year,

$f(10)= 500\times(1.4)^{10-1}\\\\f(10)= 500\times(1.4)^{9}\\\\f(10)= 500\times20.66\\\\f(10)= 10330$

So there will be 10330 leaves in the 10th year.

3 0

2 years ago

Read 2 more answers

A photograph was enlarged to a width of 15 inches. If the scale factor was 3 /2 , what was the width of the original photograph?

andre [41]

If the width is 15, and the scale factor from width to length is 3:2, then you will have to divide 15 by 3 to get your original width.
15/3 = 5.
5 is your original width.

6 0

2 years ago

Using the distributive property to factorize the equation 3x^2+24x=0, you get

Natalka [10]

Answer:

Step-by-step explanation:

$3x^2+24x=0\\factor: 3x(x+8)=0\\x=0, -8$

6 0

2 years ago

Read 2 more answers

If 5 over 6 gallon covers 1 over 4 of the house then how much paint is needed for the entire house

MissTica

If 5/6 gallons covers a quarter of the house, then you would need 4 times as much paint:
$\frac{5}{6} \times 4$
Which is 20/6 gallons or 3 and 1/3 gallons
Hope this helped

4 0

3 years ago

3y-6 divided by 9 = 4-2 divided by -3

sweet [91]

Answer:

y = 16/9

Step-by-step explanation:

Assuming "y" is a variable

3y - 6/9 = 4 - 2/-3

3y - 2/3 =14/3

3y - 16/3 = 0

1/3 (9y - 2) = 14/3

ANSWER = y : 16/9

4 0

2 years ago

Read 2 more answers