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jolli1 [7]
3 years ago
9

Recursive equation for -2, -5, -8, -11, -14

Mathematics
1 answer:
Minchanka [31]3 years ago
4 0

Answer:

f(0) = 1

f(x) = f(x-1) - 3

Step-by-step explanation:

probably use the style of your teacher

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Pre-orders for the yearbook cost $38 each and full price cost $45 each. If 24 students in Mr. Hillman's class purchased yearbook
aleksandr82 [10.1K]

15 students preordered the year book and 9 students paid full price.

<u>Solution: </u>

Given that  

Cost of pre-ordered year book = \$38 each

Cost of full price of year book = \$45 each

Number of students in Mr. Hillman's class purchased yearbooks = 24

Total price spent by 24 students to purchase year book = \$975

Need to determine number of students pre-ordered and number of students paid full price.

Let assume number of student pre-ordered year book = x

As out of 24, x students pre-ordered the yearbook , so remaining are the ones who paid full price

So number of students paid full price = 24-x

Money spent by students who pre-ordered the book = number of student pre-ordered year book multiplied by Cost of 1 pre-ordered year book = x\times38 = 38x

Money spent by students who paid full price = number of students paid full price x Cost of 1 full price year book = (24-x)\times 45 = 1080-45x

Total price spent by 24 students to purchase year book = Money spent by students who pre-ordered the book + Money spent by students who paid full price

\Rightarrow 975=38 x+1080-45 x

On solving above expression for x, we get

\begin{array}{l}{\Rightarrow 975-1080=38 x-45 x} \\\\ {\Rightarrow-105=-7 x} \\\\ {\Rightarrow \frac{-105}{-7}=x} \\\\ {\Rightarrow x=15}\end{array}

Number of student pre-ordered year book = x=15

Number of students paid full price = 24-x = 24-15 = 9

Hence 15 students pre-ordered the year book and 9 students paid full price.

8 0
3 years ago
The polygon below is a regular hexagon. What is the approximate length of the apothem? Round to the nearest tenth.
grigory [225]

Answer:

B

Step-by-step explanation:

Inside the figure is a right triangle with hypotenuse 18 cm. Its height is half the measure of the side length. 18.2 is 9 cm. Using 9 cm and 18 cm, substitute the values into the Pythagorean theorem.

a^2 + b^2 = c^2\\9^2 + b^2 = 18^2\\81 + b^2 = 324\\b^2 = 243\\b = 15.6

3 0
3 years ago
Read 2 more answers
III
docker41 [41]

Answer:

8x+6=-8

x=-1,75

Step-by-step explanation:

8x+6=-8

8x=-8-6

8x÷8=-14÷8

x=1,75

3 0
3 years ago
The function h is a quadratic function whose graph is a translation 7 units left and 9 units up of the parent function f(x) = x
slamgirl [31]

Answer:D ( if you add +4 to the (x + 3)^2)

Step-by-step explanation:

Parent function is f(x) = x^2

A translation 3 units left gives y = )x + 3)^2

- and 4 up gives y = (x + 3)^2 + 4 - vertex form.

Standard form :

y = x^2 + 6x + 9 + 4

= x^2 + 6x + 13.

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Which of the following units are most commonly used in the United States?
igomit [66]

The correct answer is C, miles.

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