Answer:
tbh i do not know the ancer i wish you good luck
Answer:
x=y=z=90.
Step-by-step explanation:
let the 3 numbers be x,y,z.
let s be sum
s=x+y+z
we need to maximize xy+yz+zx
or , xy + y(270-(x+y))+x(270-(x+y)) = P(x)
Use Lagrange's Multipliers
⇒ΔP= λΔS
⇒
⇒y=x
⇒\frac{x+z}{x+y} =1
⇒z=y
⇒x=y=z
⇒3x = 270
⇒x= 90
hence, x=y=z=90.
Answer:
A line passing through (1, 3) and (5, 11)
Rate of change = 2
Step-by-step explanation:
- <em>Rate of change = change in y / change in x</em>
- <em>r = Δy/Δx</em>
<u>Let's get the rate of change for each line:</u>
A line passing through (-1, 4) and (1, 7).
- r = (7 - 4) / (1 -(-1)) = 3/2
A line passing through (1, 3) and (5, 11).
- r = (11 - 3) / (5 - 1) = 8/4 = 2
A line passing through (1, 1) and (4, -3).
- r = (- 3 - 1) / (4 - 1) = -4/3
A line passing through (0, 6) and (12, 9)
- r = (9 - 6) / (12 - 0) = 3/12 = 1/4
<u>Comparing the values of r, we can see the greatest one is</u> 2 for the line passing through (1, 3) and (5, 11)
Answer:

Step-by-step explanation:


Hope this helped! :)
Pls mark Brainliest.
Answer:
f(x) = -4x² - 64x - 202
Step-by-step explanation:
We can simplify this quadratic function given in vertex form into standard form by simplifying the exponents and adding like terms.
f(x) = -4(x+7)^2 - 6
f(x) = -4(x^2 + 14x + 49) - 6
f(x) = -4x² - 64x - 196 - 6
f(x) = -4x² - 64x - 202