Answer:
Step-by-step explanation:
<u>Given:</u>
<u>Length is:</u>
<u>Substitute values and solve for w:</u>
- 500 = 2*120 + 2w
- 2w = 500 - 240
- 2w = 260
- w = 260/2
- w = 130 m
Answer:
for number 31 it is 06,08 and 14 for 31 a
Step-by-step explanation:
Step-by-step explanation:
This is an exponential increase. As represented in the picture, approximately 77 lilly pads will be produced after 50 days when there is initial of 22.
Answer: -1
Step-by-step explanation:
-8 (-8x - 6) = -6x - 22
distribute
64x + 48 = -6x -22
get rid of the smallest x by adding 6x to both side
70x + 48 = -22
minus 48 to both sides
70x = -70
divide both side by 70
x = -1
Answer:
Vertex → (2, 4)
Step-by-step explanation:
Quadratic equation has been given as,
y = -x² + 4x
We rewrite this equation in the form of a function as,
f(x) = - x² + 4x
By comparing this equation with the standard quadratic equation,
y = ax² + bx + c
a = -1 and b = 4
Vertex of the parabola represented by this equation is given by ![[-\frac{b}{2a}, f(\frac{-b}{2a})]](https://tex.z-dn.net/?f=%5B-%5Cfrac%7Bb%7D%7B2a%7D%2C%20f%28%5Cfrac%7B-b%7D%7B2a%7D%29%5D)
x coordinate = 
= 2
y-coordinate = f(2)
= - (2)² + 4(2)
= -4 + 8
= 4
Therefore, vertex of the given function is (2, 4)