ANSWER
EXPLANATION
Recall that,
That is why
is equivalent to
This implies that,
This is the same as,
When we are dividing by
we move the decimal point backwards two times.
This implies that,
Answer:
(-1, 6)
Step-by-step explanation:
The midpoint of a line segment is effectively the point that lies halfway between two pairs of coordinates on a line. The coordinates we're concerned with here are (-4, 10) and (2, 2). So first think about what is halfway between -4 and 2 (or you can add -4 and 2 then divide by 2) and do the same with 10 and 2. This will give you (-1, 6).
Answer:
,
Step-by-step explanation:
The function of the graph can be written in the vertex form as
, where V(h,k)=V(2,4) is the vertex of the quadratic function.
We substitute the value to obtain;
,
The point (5,1) lies on the graph so we use it to determine the value of a.
,
,
,
The required equation is
,
Answer:
4
3
0
Step-by-step explanation:
f(x) = y = -1/2 × sqrt(x+3)
2y = -sqrt(x+3)
4y² = x + 3
x = 4y² - 3
now renaming this, so that the normal symbols and names are used for this function definition, so that the input variable is called "x" :
f-1(x) = 4x² - 3
basically, just by itself, this function would be defined for all possible real values of x.
but because it is the inverse of the original function, which generates only values of y<=0, then for the inverse function that same range applies for its input variable x
x<=0
Answer:
You and your friend spent $17.30 together
Step-by-step explanation:
3.49 x 2 = 6.98
6.98 + 4.82 = 11.8
11.8 + 5.50 = 17.3
