How many times does the graph of 4x = 32 - x2 cross the x-axis?
0
1
2
what are the solutions to the equation?

The graph crosses the x-axis 2 times

The solutions are  x = -8  &  x = 4

Step-by-step explanation:

Qaudratics are in the form

Where a, b, c are constants

Now, let's arrange this equation in this form:

Where

a = 1

b = 4

c = -32

We need to know the discriminant to know nature of roots. The discriminant is:

If

Let's find value of Discriminant:

Certainly D > 0, so there are 2 distinct roots and cuts the x-axis twice.

We get the roots/solutions by factoring:

Thus,

The graph crosses the x-axis 2 times

The solutions are  x = -8  &  x = 4

0.16 or 16%

step-by-step explanation:

lets take a coin for example.

if you toss it twice, it has a 1/4 chance of landing on heads both times because 1/2 * 1/2 is 1/4.

with the cards, the chance of picking dog is 0.4. having two people pick one is like picking a card twice in a row. so 0.4 * 0.4 is 0.16, or 16%

step-by-step explanation:

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