Answer:
-2sqrt(3)) + 2(sqrt(15)
Step-by-step explanation:
sqrt(12) * (-1 + sqrt(5)) = -sqrt(12) + sqrt(12 * 5) = -sqrt(4 * 3) + sqrt(4 * 15) =
= -2sqrt(3)) + 2(sqrt(15)
The answer is “the initial deposit is $200” and “the annual interest rate is 1.5%”
Answer:
i don't get what i should do its all messed up
Step-by-step explanation:
Answer:
Assuming you want to simplify the expression, it can be shortened to:
-k² - 2k
Step-by-step explanation:
What you need to do here is called grouping like terms. Like terms can be described as terms that have the same factors. In this case, the factors we're looking at are k and k²:
Given:
k - 3k² -3k + 2k²
We'll rearrange to group like expressions:
= -3k² + 2k² + k -3k
Pull out common factors:
= (-3 + 2)k² + (1 - 3)k
And simplify:
= -k² - 2k
Answer: 4.15 units
Explanation:
1) You must find the solution to this system:
y = -0.3x² + 3x
-2x + 5.5y = 19.5
2) replace y from the first equation into the second equation:
-2x + 5.5 [-0.3x² + 3x] = 19.5
3) use distributive property: -2x - 1.65x² + 16.5x = 19.5
4) combine like terms: - 1.65x² + 14.5x = 19.5
5) transpose terms: 1.65x² - 14.5x + 19.5 = 0
6) use quadratic formula to find the solution:
x ≈ 1.66 and x ≈ 7.13.
To find which is the lower point, you replace the two values and find which has smaller y value:
y = -0.3x² + 3x
x = 1.66 ⇒ y = -0.3(1.66)² + 3(1.66) = 4.15
x = 7.13 ⇒ y = -0.3(7.13)² + 3(7.13) = 6.14
Therefore, the answer is y = 4.15.