Answer:
= 31/6
Step-by-step explanation:
Multiply the denominator(6) by the whole number(5) to get 30 then add it to the numerator(1) to get 31, then put it over the original denominator to get 31/6.
The 3rd Image defines a piecewise function because for it to be a function, every input must match to exactly one and only one output. In Images 1, 2, and 4, there are certain inputs that have two outputs or stated otherwise, have two y-values for the same x-value. Only the 3rd Image matches 1 x-value to every 1 y-value. So, that's your answer.
Answer:
The maximum value is 5
Step-by-step explanation:
Since this is an upside-down parabola, the maximum value occurs at the vertex. Using -b/2a, we can find the x-value of the vertex and use that x value to plug back into the original function to find the maximum value.
x = -b/2a = -(-12)/(2(-6)) = 12/-12 = -1
f(-1) = -6(-1)^2-12(-1)-1 = 5
Answer:

Step-by-step explanation:
In order to solve this you just have to remember the formula for the sides and hypotenuse of the triangle rectangle:

Since A and B are equal we will use X to represent them both:

ANd by solving the equation we get that the length of the legs of the triangle rectangle with a hypotenuse of 4cm is 
10x ∠-20
x∠-20/10
x∠-2
this is your answer
hope it helps