Answer:
c. 63 toothpicks
Step-by-step explanation:
ok so the base for 16 would be 16 toothpicks
when i first see it that no matter what we would be multiplying 16 by 3 for that triangle shape
16 x 3 = 48
then we would have 15 for the connection toothpicks
48 + 15 = 63
16 would have 63 toothpicks
We have the following expression:
(2x ^ 3-12x ^ 2 + 10x-108) / x-6
Dividing the expression between x-6 we have:
quotient: 2x ^ 2 + 10
remainder: - 48
We can check the result then rewriting the expression:
2x ^ 3-12x ^ 2 + 10x-108
= (2x ^ 2 + 10) * (x-6) - 48
= (2x ^ 3 + 10x - 12 x ^ 2 - 60) - 48
= 2x ^ 3-12x ^ 2 + 10x-108
Division OK.
Answer:
The result of the division is:
quotient: 2x ^ 2 + 10
remainder: - 48
Answer: 350 animals altogether.
Explanation: We need to find the number of goats and add that to the 210 cows.
Since we have a ratio, we can use the equation 3/2=210/x.
Cross multiplying gives us 3x=420, where x is 140 goats.
Finally, 140+210=350.
Answer:
Step-by-step explanation:
g(x) = 1/4(x - 4) (x - 8)
g(x) = 1/4(x^2 - 8x - 4x + 32)
g(x) = 1/4(x^2 - 12x + 32)
g(x) = 1/4x^2 - 3x + 8)
Answer:
Answer:
Step-by-step explanation:
(a) 4x2 -- 3x - 2 = 0
x1,2 = -b ± √b²- 4ac
---------------------
2a
x1,2 = 3 ±√41
--------------
8
(b) (2x - 3)2 = 6
4x² -12x + 9 -6 = 0
4x² - 12 x + 3 = 0
Step-by-step explanation:
(a) 4x2 -- 3x - 2 = 0
x1,2 = -b ± √b²- 4ac
---------------------
2a
x1,2 = 3 ±√41
--------------
8
(b) (2x - 3)2 = 6
4x² -12x + 9 -6 = 0
4x² - 12 x + 3 = 0
