For a system of equations to have infinitely many solutions it must describe identical lines.
If you multiply the first equation by 2, then move the x term to the left side, you would get 2y-4x=-10
Final Answer:
-10
Hope I helped :)
Answer:
Top right option: g(x) = (x+1)(x-3)
Step-by-step explanation:
x=-1 is the solution to x+1=0
x=3 is the solution to x-3=0
Therefore, your expression so far is (x+1)(x-3) or x²-2x-3.
Since the vertex must be (1,-4) we must check if x=1 satisfies the equation x=-b/2a:
x=-b/2a
1=-(-2)/2(1)
1=2/2
1=1
Both sides are equal to each other, so the final function is g(x) = (x+1)(x-3)
The function that represents Wayne´s elevation:
y = 30 x - 105
The function that represents Winston´s elevation:
- 100 = 0 m + b
b = -100
-16 = 3m - 100
3 m = 84
m = 84 : 3 = 28
y = 28 x - 100
Surface level: y = 0
Wayne:
0 = 30 x - 105
x = 3.5 minutes
Winston:
0 = 28 x - 100
x = 3.57 minutes
If they both ascend at the same rate, Wayne will be first to the surface.
Answer:
8.68 seconds
Step-by-step explanation:
Given:
Height of the deck above the street, s = 370 m
Since the condition is of free falling
thus,
initial speed, u = 0
Acceleration of the penny = acceleration due to gravity, g = 9.81 m/s²
Now,
from Newton's equation of motion, we have
here,
s is the distance
a is the acceleration
t is the time
on substituting the values, we get
or
t² = 75.433
or
t = 8.68 seconds
