Answer:
(- 2, 0 ), (1, 0 )
Step-by-step explanation:
Given
y = 2x² + 2x - 4
To find the x- intercepts let y = 0, that is
2x² + 2x - 4 = 0 ← divide through by 2
x² + x - 2 = 0 ← in standard form
(x + 2)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 1 = 0 ⇒ x = 1
Thus x- intercepts are (- 2, 0) and (1, 0)
Answer:
B) ![8\sqrt[4]{4}](https://tex.z-dn.net/?f=8%5Csqrt%5B4%5D%7B4%7D)
Step-by-step explanation:
![(2^{8} *2^{6} )^\frac{1}{4} = (2^{8+6} )^\frac{1}{4} =(2^{14} )^\frac{1}{4} =2^{\frac{7}{2} }=\sqrt{2^{7} } =2^{3} \sqrt{2} =8\sqrt{2} = 8\sqrt[4]{2^{2} } = 8\sqrt[4]{4}](https://tex.z-dn.net/?f=%282%5E%7B8%7D%20%2A2%5E%7B6%7D%20%29%5E%5Cfrac%7B1%7D%7B4%7D%20%3D%20%282%5E%7B8%2B6%7D%20%29%5E%5Cfrac%7B1%7D%7B4%7D%20%3D%282%5E%7B14%7D%20%29%5E%5Cfrac%7B1%7D%7B4%7D%20%3D2%5E%7B%5Cfrac%7B7%7D%7B2%7D%20%7D%3D%5Csqrt%7B2%5E%7B7%7D%20%7D%20%20%3D2%5E%7B3%7D%20%5Csqrt%7B2%7D%20%3D8%5Csqrt%7B2%7D%20%3D%208%5Csqrt%5B4%5D%7B2%5E%7B2%7D%20%7D%20%3D%208%5Csqrt%5B4%5D%7B4%7D)
Answer:
Step-by-step explanation:
Give the DE
dy/dx = 1-y
Using variable separable method
dy = (1-y)dx
dx = dy/(1-y)
Integrate both sides
∫dx = ∫dy/(1-y)
∫dy/(1-y)= ∫dx
-ln(1-y) = x+C
ln(1-y)^-1 = x+C
Apply e to both sides
e^ln(1-y)^-1 = e^,(x+C)
(1-y)^-1 = Ce^x
1/(1-y) = Ce^x
Answer: The biggest named number that we know is googolplex, ten to the googol power, or (10)^(10^100). That's written as a one followed by googol zeroes.
Explanation: The largest known prime number (as of August 2020) is 282,589,933 − 1, a number which has 24,862,048 digits when written in base 10. It was found via a computer volunteered by Patrick Laroche of the Great Internet Mersenne Prime Search (GIMPS) in 2018.
Hope this helps^^
