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Answer: C) 5/2</h3>
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Explanation:
The term "zero" is the same as "root".
The root of f(x) is found by replacing f(x) with 0 and solving for x.
f(x) = 4x-20
0 = 4x-20
0+20 = 4x
20 = 4x
4x = 20
x = 20/4
x = 5
The root of f(x) is 5. If you plugged in x = 5, then you'll land on f(5) = 0.
Your teacher then wants to know what value of k will have g(x) get the same root of 5. In other words, we need to find k that will allow g(5) = 0.
We'll replace g(x) with 0 and plug in x = 5. Solving for k leads to...
g(x) = -0.5x+k
0 = -0.5*5+k
0 = -2.5+k
0+2.5 = k
2.5 = k
k = 2.5
k = 5/2
Answer:
342.
Step-by-step explanation:
Let x represent the number of adults and y represent the number of senior citizens.
We have been given that on a recent weekend evening 514 people paid for the admission. We can represent this information in an equation as:

We have been given that the Family Fine Arts Center charges $20 per adult and $13 per senior citizen for its performances.
The cost of x adult tickets would be
and cost of y senior citizen tickets would be
.
We are also told that total receipts were $7886 on a recent weekend evening. We can represent this information in an equation as:

From equation (1), we will get:
We can represent this information in an equation as:

Substitute this value in equation (2) as:







Therefore, 342 senior citizens paid for the art center.
Answer:
Find two points on a graph, and count up/down, and left/right to find rise over run and simplify if you can. For example on this graph the slope from (0,1) to (3,0) is -2/6 or simplify to -1/3 because you go down two and right 6.
Step-by-step explanation:
Answer:
84,3 ° Sureste
Step-by-step explanation:
El diagrama vectorial que tipifica la pregunta se muestra en la imagen adjunta.
La dirección del avión es la dirección de la velocidad resultante.
Si esta dirección es θ
θ = tan ^ -1 (400/40)
θ = 84,3 ° Sureste