Standard Form : f (x) = a(x - h)2 + k
Where in this equation (H,K) is the vortex of the parabola
<u>and there are four other ways to solving these quadratic</u>
1. Factoring
2. Completing the square
3. Your quadratic formula ( f (x) = a(x - h)2 + k )
4. Graphing
Let x and y be the two positive numbers. - Their product is 192: x * y = 192 equation 1
- the sum of the first plus twice the second is a minimum: x + 2y
<span>From the first equation, y = 192 / x.
Substitute that into the second equation:
</span>
x + 2y = x + 2(<span>192/x ) = x + 384/x
</span>f(x) is minimum when f'(x) = 0 and f"(x) > 0
f(x)= <span>x + 384/x
</span>
f(x) = 1-384/x^2
<span>1-384 / x^2 = 0
x^2-384 = 0
x^ 2= 354
x = radical 354 = 18.8 here i'm confused why the number is decimal
???/
</span>
Answer:
there is no quick way around this. U need to plug in -4,2,8 into x value into the function, and see what y returns to
Step-by-step explanation:
Answer:
h ≤ 8
Step-by-step explanation:
Hans charges $7 per hour and pays $5 in equipment fees.
$5 is fixed in this case. Let the possible number of hours be h.
According to question,
Atleast means less than equal to. So,
7h-5≤51
Add 5 to both sides.
7h+5-5 ≤ 51+5
7h ≤ 56
h ≤ 8
So, the number of hours be less than equal to 8.
Answer:
Step-by-step explanation:
1.) 6C4= 15
2.) (1C1)*(6C3)= 20
3.) (2C2)*(6C2)= 15