Carlos made the mistake that he did not combine like terms (3 x and 2 x) properly and did not use addition property of equality.
<u>Step-by-step explanation:</u>
Carlos did the work as 3 x + 2 x - 6 = 24
We need to find his mistake that he made in above given.
Here, he did not add the like terms (3 x and 2 x)
3 x + 2 x = 5 x
Therefore, his work should be
5 x - 6 = 24
Also, he did not use addition property of equality. It means the equation remains same even though the same number gets added on both sides. It would be
5 x - 6 = 24
+ 6 = + 6
-----------------------
5 x = 30
Dividing 30 by 5, we get answer as '6'. Hence,
= 6
So, stated the above two are the mistakes found in carlos work.
96 with a remainder of 5.
Answer:
- 9
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is

Here [a, b ] = [ - 5, 2 ], thus
f(b) = f(2) = 2² - 6(2) + 2 = 4 - 12 + 2 = - 6
f(a) = f(- 5) = (- 5)² - 6(- 5) + 2 = 25 + 30 + 2 = 57 , thus
average rate of change =
=
= - 9
Answer:
1/2
This is the correct answer
Answer:
6(base) x 3.5(Height) = 21, 21 divided by 2 (x 1/2) = 10.5
10.5(area of triangle) x 7.75(width) = 81.375
Formula of an area of a triangle:
BH x 1/2
Base x Height x 1/2(basically just dividing by 2)
Now the base:
1.5 x 7.75 x 6 = 69.75
Now let's add the two given volumes:
81.375+ 69.75 = 151.125 ft^3 is your answer.