Answer: hello your question is incomplete attached below is the complete question
answer :
a)
( option D )
b) A = 1/2 (6)(3) ( option B )
c) Area of shaded region = 9
Step-by-step explanation:
<u>a) Using integration with respect to x </u>
Area =
( note a = 10 )
= y^2/2 - 4y |⁷₄ + 10y - y^2/2 |¹⁰₇
= 33/2 - 12 + 30 - 51/2 = 9
hence the best integral from the options attached is option D

= [ 10x - x^2 /2 - x^2/2 - 9x ] ³₀
= 30 - 9/2 - 9/2 - 12 = 9
<u>b) Using Geometry </u>
Area = 1/2 * base * height
= 1/2 * 6 * 3
= 9
subtract 3 from both sides:

Multiply both sides by 2:

Subtract 3 from both sides:

Change sign to both sides (this implies that you should also change the inequality sign):

Answer:
1/2 and 13/18 respectively
Step-by-step explanation:
even-number results:
2, 4 6 ,8, 10 and 12
the combinations of each result are respectively
1+3+5+5+3+1 = 18
The total number of combinations on a roll pair is 36
then the probability of obtaining an even result is:
p = 18/36 = 1/2 or 0.5
so that the result is less than nine, we eliminate the combinations of results 9, 10, 11 and 12:
4 + 3 + 2 + 1 = 10
36 -10 = 26
the probability of obtaining a result less than nine is:
p = 26/36 = 13/18 or 0.72
Hope this helps
Answer:
<u>Options A , B and D</u>
Step-by-step explanation:
Tomas needs exactly 6 potatoes to make 12 pancakes
So, the rate will be 12/6 = 2
<u>We will check the options:</u>
A) Tomas needs exactly 12 potatoes to make 24 potato pancakes.
Rate = 24/12 = 2
B) Tomas needs exactly 18 potatoes to make 36 potato pancakes.
Rate = 36/18 = 2
C) Tomas needs exactly 24 potatoes to make 44 potato pancakes.
Rate = 44/24 = 1.833
D) Tomas needs exactly 30 potatoes to make 60 potato pancakes.
Rate = 60/30 = 2
E) Tomas needs exactly 36 potatoes to make 78 potato pancakes.
Rate = 78/36 = 2.1667
So, the answers are:
<u>Options A , B and D</u>
THE ANSWER IS B, CAUSE THE HIGHEST EXPONENT FOR A QUADRATIC FUNCTION SHOULD BE 2, AND WHICH A,B AND C SHOULD NOT BE EQUAL TO ZERO. HOPE THIS HELPS!