Please help me :)!!!!!!!!!!!!!

Mathematics

1 answer:

ivolga24 [154]3 years ago

5 0

A root is where the line crosses the x axis. This line crosses the x axis 3 times so the answer is B..

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Find the inverse of the following function.

Naddik [55]

For this case we must find the inverse of the following function:

$f (x) = 8 \sqrt {x}$

For this, we follow the steps below:

We change f (x) to y:

$y = 8 \sqrt {x}$

We exchange the variables:

$x = 8 \sqrt {y}$

We solve for y:

$8 \sqrt {y} = x$

We divide between 8 on both sides of the equation:

$\sqrt {y} = \frac {x} {8}$

We raise both sides of the equation to the square to remove the root:

$y = (\frac {x} {8}) ^ 2\\y = \frac {x ^ 2} {64}$

So, the inverse is: $f ^ {- 1} (x) = \frac {x ^ 2} {64}$

ANswer:

Option C

3 0

3 years ago

The equation of the parabola is (y-1)^2 = 16(x+3)

Mandarinka [93]

We know that

if the y terms is squared so it opens left or right

Is a Horizontal Parabola, the equation is of the form
(y-k)²=4(p)(x-h)
vertex is (h,k)
and
p is distance from focus to vertex, also distance from vertex to directrix
if p>0, then it opens to the right and directrix is to the left of vertex
if p<0, then it opens to the left and directrix is to the right of vertex

so
(y-1)²=4(4)(x-(-3))
vertex is (-3,1)
4>0 so directrix is to left of vertex
left is in x direction
-3-4=-7
directrix is x=-7

the answer is
x=-7

see the attached figure