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ZanzabumX [31]
3 years ago
15

Which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x) + 20

Mathematics
2 answers:
Rus_ich [418]3 years ago
8 0
Answer is C. third choice
the graph of y = f(x) will shift up 20 units
yawa3891 [41]3 years ago
5 0
If you add a constant to the original equation, you are actually shifting up or down

Since the constant is positive, you are shifting the graph 20 units up
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You operate a gaming website, www.mudbeast.net, where users must pay a small fee to log on. When you charged $4 the demand was 5
sertanlavr [38]
A) Demand function

price (x)          demand (D(x))

4                      540

3.50                  810

D - 540          810 - 540
----------- =  -----------------
x - 4               3.50 - 4

D - 540
----------- = - 540
x - 4

D - 540 = - 540(x - 4)

D = -540x + 2160 + 540

D = 2700 - 540x

D(x) = 2700 - 540x

Revenue function, R(x)

R(x) = price * demand = x * D(x)

R(x) = x* (2700 - 540x) = 2700x - 540x^2

b) Profit, P(x)

profit = revenue - cost

P(x) = R(x) - 30

P(x) = [2700x - 540x^2] - 30

P(x) = 2700x - 540x^2 - 30

Largest possible profit => vertex of the parabola

vertex of 2700x - 540x^2 - 30

When you calculate the vertex you find x = 5 /2

=> P(x) = 3345

Answer: you should charge a log-on fee of $2.5 to have the largest profit, which is $3345.




5 0
3 years ago
An inverse variation includes the point (4,17). Which point would also belong in this inverse variation?
NARA [144]

Answer:

(2, 34 )

Step-by-step explanation:

Since the points vary inversely then half the x, means double the y, thus

(2, 34) or (1, 68 ) would also belong in this inverse variation

3 0
3 years ago
What is the justification for each step in solving the inequality?
alekssr [168]
HELLO  ANNA!!

Given inequality
=> −2(x+1)≥3x+8
=>
- 2x - 2 \geqslant 3x + 8 \\ \\ add \: 2 \: in \: both \: sides \\ \\ - 2x \geqslant 3x + 10 \\ \\ subtract \: with \: - 3x \: in \: both \: sides \: \\ \\ - 5x \geqslant 10 \\

now multiply with - on both sides.

As we know now sign will change
=> 5x >_ -10

Now divide by 5 on both sides
=> x >_ -2
HOPE IT HELPED YOU.
4 0
3 years ago
Read 2 more answers
Pls help it’s due right now
gulaghasi [49]

Answer:

y + 11 = 14

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
SOMEONE PLEASE HELP!!
BARSIC [14]

Answer:

21

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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