An element with mass 1000 grams decays by 14.8% per minute. How much of the element is remaining after 11 minutes, to the nearest 10th of a gram?

In order to convert f(x) = 3x² – 24x + 10 which is in quadratic form to vertex form which will look like this y = a(x-h)² + k. You will have to use the process of completing the square. First we will isolate the x² and x terms.

y = 3(x² - 8x) + 10

We take -8 and divide by 2 to get -4 and finally square it which gives us 16. We add these to make it a perfect square and subtract 16 so that we do not change it. We will get:

y = 3(x² - 8x + 16 - 16) + 10

y = 3((x - 4)² ) - 48 + 10

y = 3(x - 4)² - 38

I hope this helps, Regards.

Option B is the correct answer.

Step-by-step explanation:

Arithmetic progression have a first term and common difference.

Here first term, a = -3

Common difference, d = -2.25 - (-3) = -2.25 + 3 = 0.75

The n th term of an arithmetic progression is given by a + (n-1) d

Here we need to find fifth term, that is n = 5                    

                 Fifth term = a + (n-1) d = -3 + (5-1) x 0.75

                 Fifth term = a + (n-1) d = -3 + 4 x 0.75

                 Fifth term = a + (n-1) d = -3 + 3 = 0

So next term for the given arithmetic sequence = 0

Option B is the correct answer.

Answer:

the answer is 89

Step-by-step explanation:

52 plus 37 = 89

Answer:

89 books

Step-by-step explanation:

he sells 37 books so we do 52+37 and get 89