Please indicate exponentiation using " ^ " Thanks.
f(x)=x2+14x+40 => <span>f(x)=x^2+14x+40
Next, complete the square:
</span>f(x)=x^2+14x+ 49 - 49 +40 = (x+7)^2 - 9
Write this in the form y = (x+7)^2 - 9 or y + 9 = (x+7)^2
Comparing this result to y = a(x-h)^2 + k, we see that h = -7 and k=-9
In vertex form, the equation is y + 9 = (x+7)^2 and the vertex is at (-7, -9).
Answer:
Step-by-step explanation:
Answer:
m = 
Step-by-step explanation:
Given
= 
( cross- multiply )
6m = 21 ( divide both sides by 6 )
m = 
= ( = 3.5 in decimal form )
Answer:
If there's 10 cookies in the jar, and if 2 are peanut butter, the fraction for peanut butter cookies is 1/5, simplified.
Step-by-step explanation:
<u>Given:</u>
- 10 Cookies Total
- 3 are Oreo cookies
- 2 are peanut butter cookies
- 4 are chocolate chip cookies
- 1 is a sugar cookie
Bolded text represents what we'll be focusing on.
2 of the cookies are peanut butter, and there's 10 cookies total.
As a fraction, the peanut butter cookies are represented as:
2/10.
2/10 represents 2 peanut butter cookies out of 10 cookies altogether.
<u>Simplify:</u>
2/10 can be simplified by dividing both numerator and denominator by 2:
Quotient: 1/5.
1/5 is your answer.
