Answer:
y = 4x+ 3
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = 4x+ 3
Well.. I'm not sure if I remember this correctly but doesn't "i" represent the square root of -1? Therefore if you square a square root, they cancel out and you're left with -1 as your answer.
Steps would be to:
change "i" to the square root of -1
put the exponent 2 outside of that
cancel the square root and the exponent
answer= -1
Answer:
a) and d) are bijections. b) and c) are not
Step-by-step explanation:
a) Every linear non constant function is a bijection. We can easily find the inverse of f by making a simple calculus.
If y is on the function image, we have y = -3x + 4 for certain x, then
y- 4 = -3x
-(y-4)/3 = x
therefore
b) -3 * X² + 4 is not a bijection because quadratic funtions arent bijective. If you evaluate in opposite values you will obtain the same result. For example f(-1) = f(1) = 6
c) (x+1)/(x+2) is not a bijection. It isnt even defined in -2 because the denominator is equal to 0 if X= -2 and we cant divide by 0. A bijective function from R to R must be defined in every element of R. In general, homographic non linear functions are not bijective for the same reason this function is not.
d) is bijective. There isnt a simple argument we can use to conclude this. We have no other choice than trying to find the inverse function by making a calculus.
Y =
Y-1 =
Not that since 5 is odd, we can calculate independently of which value Y-1 takes. Therefore , and we can conclude that f is bijective.
I hope this helps you!
Since the outside is 1.5 to 1, we take half of the value of the inside diameter and add it to itself to get the smallest value needed. 0.5+0.25=0.75
So the smallest diameter possible would be 0.75 inches.
ABC
MIT
MEL
are right triangles
to solve this you can get help from
ThePythagorean Proposition
or use an useful app all in one calculator