Answer:
c
Step-by-step explanation:
The limit exists because it's continuous since they equal each other
when x approaches zero.
Substitute both expressions with x=0 and both of them will equal 2, so the limit should be 2.
Answer:
<u> y = 19/36</u>
Step-by-step explanation:
Assuming that what you want is the value of y, you can pass all the right side stuff to the left, and the y to the right:
2/3 + 15/6 = 6y
Then you can sum the fractions on the left by using the same denominators:
4/6 + 15/6 = 6y ==> 19/6 = 6 * y
then you can pass the 6 that is multiplying on the right to the left - now dividing:
<u> y = 19/36</u>
Answer:
120 cubes
Step-by-step explanation:
Find the volume of the prism and then divide it by the volume of one cube (which is 1/27 cm):
V = length*width*height = (5/3 cm)(4/3 cm)(2 cm) = 40/9 cm³.
Dividing this result by 1/27 yields
40 27 40*3
------ * ------ = -------------- = 120
9 1 1
120 cubes (answer)
Answer:
4 1/4
Step-by-step explanation:
2 1/2 + 1 1/4 + 1/2 = 5/2 + 5/4 + 1/2
LCM = 4
5/2 x 2/2 = 10/4
5/4 = 5/4
1/2 x 2/2 = 2/4
10/4 + 5/4 + 2/4 = 17/4
= 4 1/4
Therefore he put 4 1/4 cups altogether.
Answer:
Step-by-step explanation:
Integer roots:
a = 6 n + 1, b = 7, c = -3 n^2 - n, n element Z
a = 6 n + 5, b = 7, c = -3 n^2 - 5 n - 2, n element Z
Derivative:
d/da(1/7 (a^2 + 12 c) b - 1) = (2 a b)/7
Indefinite integral:
integral(-1 + 1/7 b (a^2 + 12 c)) da = (a^3 b)/21 + (12 a b c)/7 - a + constant
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