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DENIUS [597]
3 years ago
12

David wants to purchase some pens. The pens he likes cost 2$ each, not including tax. This is represented by the graph in the co

ordinate place below. Write an equation for the graph of the line

Mathematics
1 answer:
iren [92.7K]3 years ago
5 0
Y = 2x is the equation
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Is 3 yards 16 inches equal to 4yd and 4inches
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3 0
2 years ago
Find two values of c in (− π/ 4 , π /4) such that f(c) is equal to the average value of f(x) = 2 cos(2x) on ( − π/ 4 , π/ 4 ). R
pentagon [3]

Answer:

c₁ = 1/2 cos⁻¹ (2/π) = 0.44

c₂ = -1/2 cos⁻¹ (2/π) = -0.44

Step-by-step explanation:

the average value of f(x)=2 cos(2x) on ( − π/ 4 , π/ 4 ) is

av f(x) =∫[2*cos(2x)] dx /(∫dx) between limits of integration − π/ 4 and π/ 4

thus

av f(x) =∫[cos(2x)] dx /(∫dx) = [sin(2 * π/ 4 ) - sin(2 *(- π/ 4 )] /[ π/ 4 -  (-π/ 4)]

= 2*sin (π/2) /(π/2) = 4/π

then the average value of f(x) is 4/π . Thus the values of c such that f(c)= av f(x) are

 4/π = 2 cos(2c)  

2/π = cos(2c)

c = 1/2 cos⁻¹ (2/π) = 0.44

c= 0.44

since the cosine function is symmetrical  with respect to the y axis then also c= -0.44 satisfy the equation

thus

c₁ = 1/2 cos⁻¹ (2/π) = 0.44

c₂ = -1/2 cos⁻¹ (2/π) = -0.44

4 0
3 years ago
Jonathan bought a new car in November that cost $23,000. The value of the car decreases by 15% each year. What will the value of
Veronika [31]

Answer:

$5750

Step-by-step explanation:

To find what 15% is in money, we do

23,000*15/100=3450 for one year

3450*5(for five years)=$17,250

Now subtract that

23,000-17,250=$5750

4 0
3 years ago
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