Answer:
34
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is

Here [ a, b ] = [ 1, 6 ], thus
f(b) = f(6) = 6³ - 9(6) = 216 - 54 = 162
f(a) = f(1) = 1³ - 9(1) = 1 - 9 = - 8
average rate of change =
=
= 34
Answer:
B
Step-by-step explanation:
A proportional relationship is a relationship which crosses through the origin (0,0) and which has a proportional constant. We can determine this either by finding (0,0) where x=0 and y=0 in the table or by dividing y/x. None of the tables contain (0,0) so we will divide y by x. We are looking for a table which when each y is divided by its x we have the same constant appearing.
<u>Table A</u>

These fractions are not equal. This is not proportional.
<u>Table B</u>

These fractions are equal and each shows the numerator to be half of the denominator. This is proportional.
<u>Table C</u>

These fractions are not equal. This is not proportional.
<u>Table D</u>

These fractions are not equal. This is not proportional.
The exhibition of 7 birds will cost $2,450
<h3>
How to calculate the total cost ?</h3>
The wildlife center charges a basic fee of $325 for a bird exhibition
When 5 birds were exhibited, $125 additional fee was charged
The additional fee for a bird is
= 125/5
= 25
Therefore the total cost of exhibiting 7 birds can be calculated as follows
= 325 + 25
= 350
350 × 7
= 2,450
Hence the total cost for the exhibition of 7 birds is $2,450
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Answer:
The answer would be 26
Step-by-step explanation: (Broken down into 2 parts)
-PART ONE- solving (12-7) x (8-5) -7
(12-7) x (8-5) -7 (do whats in parentheses first)
(5)x (3) -7 (multiply 5x3)
15-7 (subtract)
ANSWER- 8
-PART TWO- solving (16-4) + (10 - 12 divided by 3)
(16-4) + (10 - 12 divided by 3) (do what is in parentheses)
12 + 10-4 (add)
22-4 (subtract)
ANSWER- 18
Now combine the two answers 18+8 and you get 26
Therefore, 26 is the final answer.
Hope this helps!!