Answer:
f(-2) = 2
f(0) = 3
f (4) = -1
Step-by-step explanation:
The equation of the straight line passing through the points (0,3) and (-4,1) is
⇒ 2(y - 1) = x + 4
⇒ 2y - 2 = x + 4
⇒ 2y = x + 6
⇒ 
Again, the equation of the line passing through the points (0,1) and (4,-1) is
⇒ - 2 ( y + 1) = x - 4
⇒ - 2y = x - 2
⇒ 
Therefore, the function is defined as
for x ≤ 0 ........... (1) and
for x > 0 ............ (2)
Therefore, f(-2) = 2 from equation (1).
f(0) = 3 from equation (1)
And f (4) = -1 from equation (2). (Answer)
Answer:
The solution proves that the equation has a non-trivial solution.
Step-by-step explanation:
We want to show that the equation has nontrivial solutions for which 
Let 
be a set of non-zero numbers such that that 
Because T is a linear solution:
= 
= 
= 
= 
= 0
This shows that 
are linearly independent with the mapping resulting in a non-trivial solution.
Find h(x)
f(x)+g(x)=5x+15+4x+20=9x+35
ok so if gertrude works 4
f(x)=5x+15
f(4)=5(4)+15
f(4)=35
if we input 4 for x in f(x) to find how much made togethe rin 4 hours
h(4)=9x+35
h(4)=9(4)+35
h(4)=36+35
h(4)=71
split evenly?
71/2=35.5
frankalone=35 for 4 hours
frankwithgertrued=35.5 for 4 hours
slightly bettewr with gerturde
Answer:
They represent the rise and run of the graph.
Step-by-step explanation:
<em>The difference between the x-axis of the points represents the "run" of the graph (or how much you should run along x-axis to get to the next point.)</em>
<em>The difference between the y-axis of of the points represents the "rise" of the graph (or how much you should rise up the y-xis to get to the next point).</em>
The ratio of rise to run is the slope of the graph, which tells us how many steps should we take on the y-axis for every step we move forward on the x-axis.
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