Does the line y=5 intersect the parabola y= 4−x².why or why not? draw the graphs on the same set of axes.

No

Step-by-step explanation:

given

Parabola

It is parabola with vertex (0,4)

symmetrical about Y axis and facing downward

y= 5

not possible

So y=5 do not intersect the given Parabola as there is no real value of x which satisfy the above equation

d. 9

step-by-step explanation:

in the table given in the picture, x is the input of the function and f(x) is the output on the given input. in the given table, it can be read as the value of function at -3 is it's respective value of f(x) which is -9.

as we have to find the value of f(3), we will see that what is the value of output on input 3. we can see in the table that the output value at x=3 is 9.

so, option d is the correct answer ..

probability for j is 1/4

while

a is 1/6