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2 years ago

Given the function h(x) = x2 – 7x + 6, determine the average rate of change of

Mathematics

1 answer:

guapka [62]2 years ago

4 0

Step-by-step explanation:

the average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.

so,

(h(7) - (h(3)) / (7 - 3)

h(7) = 7² - 7×7 + 6 = 49 - 49 + 6 = 6

h(3) = 3² - 7×3 + 6 = 9 - 21 + 6 = -6

7 - 3 = 4

(6 - -6)/4 = 12/4 = 3

the average change rate in that interval is 3 (or fully 3/1).

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Find the value of the term in the arithmetic sequence using an = a^1+ (n-1)d. 3,5,7,9,11, (8th term)

saveliy_v [14]

<h3>Answer: 17</h3>

=========================================================

Work Shown:

a1 = 3 = first term

d = 2 = common difference (since we add 2 to each term to get the next one)

Let's compute the nth term.

an = a1 + (n-1)*d

an = 3 + (n-1)*2

an = 3 + 2n-2

an = 2n+1

-----------------------

To check things so far, we can plug in something like n = 2

an = 2n+1

a2 = 2*2+1

a2 = 5

Showing that the 2nd term is 5, which matches with the sequence given to us

Let's check n = 3

an = 2n+1

a3 = 2*3+1

a3 = 7

That matches as well. I'll let you check the others.

-----------------------

Plug in n = 8 to find the 8th term

an = 2n+1

a8 = 2*8+1

a8 = 17

The eighth term is 17, which is the final answer.

-----------------------

You could extend out the given sequence by adding 2 each time until you reach the 8th term

3,5,7,9,11,13,15,17

Though this method is slow if you need to find say the 38th term

8 0

2 years ago

Read 2 more answers

1) How much money will you have in an account after 5 years if you invest $1,200 at 2.5%

Leya [2.2K]

Answer:

$ 1,350

Step-by-step explanation:

i = (prt) / 100

p = $ 1,200 r = 2.5% t = 5 years

i = (1,200 x 2.5 x 5) / 100

i = $ 150

amount = p + i

= 150 + 1,200

= $ 1,350

8 0

2 years ago

You are one 8-aristotle students. Camie, your math class president, is designing a geometrical shape flower pots as a fund-raisi

8_murik_8 [283]

Answer:

422332423fund-raising project. The cost of paint color needed is php 1,200 plus php 45 each pot. She estimates that your class will design 80 pots and sell designed pots for php 100 each.

Direction: answer the following questions below then, decide if you are in favor of camie's plan. write your answers on the spacfund-raising project. The cost of paint color needed is php 1,200 plus php 45 each pot. She estimates that your class will design 80 pots and sell designed pots for php 100 each.

Direction: answer the following questions below then, decide if you are in favor of camie's plan. write your answers on the spac

Step-by-step explanation:

fund-raising project. The cost of paint color needed is php 1,200 plus php 45 each pot. She estimates that your class will design 80 pots and sell designed pots for php 100 each.

Direction: answer the following questions below then, decide if you are in favor of camie's plan. write your answers on the spac