Need help with 9 and 12(theirs a picture)

Mathematics

1 answer:

Doss [256]3 years ago

8 0

Number 6 is incorrect. Remember when you see -(-1) that is addition because you are subtracting a negative from a negative so you take the negative sign away and you have a positive. The correct answer to 6 is -75. For number 9 the first thing that you are gonna do is distribute that negative sign to the -12 in parentheses. This will make it a positive 12 which leaves you with

-8+12-31=-27

Next for number 12 you will distribute the - sign onto the -9 in parentheses and the -16 in parentheses. This will leave you with -16+9+16=9

Hope that this helped!

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Determine the equation of the parabola shown in the diagram in factored form. (check picture below)

krok68 [10]

Answer:

$(x+1)(x-3)$

Step-by-step explanation:

A quadratic in factored form is usually expressed as: $a(x\pm a)(x \pm b)$ where the sign of a and b depends on the sign of the zero. And I said "usually" since sometimes the x will have a coefficient. Anyways in the quadratic there are two zeroes at x=-1 and x=3. This can be written as: $a(x+1)(x-3)$ . Notice how the signs are different? This is because when you plug in -1 as x you get a factor of (-1+1) which becomes 0 and it makes the entire thing zero since when you multiply by 0, you get 0. Same thing for the x-3 if you plug in x=3. Now a is in front and it can influence the stretch/compression. To find the value of a, you can take any point (except for the zeroes, because it will make the entire thing zero, and you can technically input anything in as a)