So for this function we will be using the quadratic formula, which is $x=\frac{-b+\sqrt{b^2-4ac}}{2a},\frac{-b-\sqrt{b^2-4ac}}{2a}$ , to solve. a = x^2 coefficient, b = x coefficient, and c = constant. Using our equation, we can solve for the zeros (x-intercepts) as such:

$x=\frac{-4+\sqrt{4^2-4*2*(-15)}}{2*2},\frac{-4-\sqrt{4^2-4*2*(-15)}}{2*2}\\ \\ x=\frac{-4+\sqrt{16-(-120)}}{4},\frac{-4-\sqrt{16-(-120)}}{4}\\ \\ x=\frac{-4+\sqrt{136}}{4},\frac{-4-\sqrt{136}}{4}\\ \\ x=1.92,-3.92$

In short, your x-intercepts (rounded to the hundredths) are (1.92,0) and (-3.92,0).

6 0

3 years ago

If a heart beats 8 times in 6 seconds, what is the rate of the heart per minute?

kirill [66]

Answer:

80 is the answer to your question

7 0

2 years ago

Compound Interest: Hannah is putting 10,000 dollars in the bank for 5 years at 6% p.a every 6 months what is her Final Balance?

8090 [49]

I think you can solve it by doing this:

10(10,000+0.06)= Final Balance

6 months + 6 months = 1 year

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
She has to pay twice a year

Now that we know that just multiply 2 by 5 and you get 10. 10(10,000+0.06)= Final Balance

So it should be 100000.6

Not sure if that's right so ask someone to check

6 0

2 years ago