Y intercept occurs when x = o so it is -2(0-3) + 4 = -2
x intercepts:-
-2(x - 3)^2 + 4 = 0
(x - 3)^2 = -4/-2 = 2
x - 3 = +/- sqrt2
x = 3 + sqrt2 and 3- sqrt2
A graph shows the roots to be
{-4, 3, 6}.
Answer:
f(x) =
is the simplest expression
Step-by-step explanation:
We are given an expression and we are supposed to find the simplest form of the given expression.
The given expression is
f(x) = ![\sqrt[3]{4x^{2} } \times \sqrt[3]{8x^{7} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B4x%5E%7B2%7D%20%7D%20%5Ctimes%20%5Csqrt%5B3%5D%7B8x%5E%7B7%7D%20%7D)
Since the cube root is common we can multiply the quotient inside the radical sign.
f(x) = ![\sqrt[3]{32x^{(2+7)} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B32x%5E%7B%282%2B7%29%7D%20%7D)
= ![\sqrt[3]{32x^{9} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B32x%5E%7B9%7D%20%7D)
= 
= 
f(x) =
is the simplest expression
Well, difference means subtractions so we need to subtract 2 and c
2-c
Answer:
x = 96°
y = 102°
Step-by-step explanation:
Angles on a straight line add up to 180
78 + y = 180
y = 180 - 78
y = 102
Angles in a quadrilateral add up to 360
78 + 90 + x + x = 360
78 + 90 + 2x = 360
168 + 2x = 360
2x = 360 - 168
2x = 192
x = 192/2
x = 96°