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AveGali [126]
3 years ago
13

how do the graphs of f(x) = sin x and g(x) = sin2x+3 compare. Must make two selections of the following that apply.

Mathematics
2 answers:
ivolga24 [154]3 years ago
4 0

Answer:

C. and E.

Step-by-step explanation:

Elena L [17]3 years ago
3 0

Answer:

The correct options are:

  • g(x) is shifted three units higher than f(x).
  • g(x) has a period that is half the period of  f(x).

Step-by-step explanation:

We have to compare the graphs of the function:

f(x)=\sin x

and g(x)=\sin 2x+3

We have to select the correct options among the following:

As we know that the period of sine function is 2π.

i.e. Period of function f(x) is: 2π.

The period of sin(2 x) is π.

Hence, the period of the function g(x) function is π.

  • Hence, the period of g(x) is half the period of f(x).
  • Also we could observe that g(x) is shifted 3 units upward.

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A lawyer charges a $75 consultation fee and then $120 per hour thereafter.
Ainat [17]

Answer:

(a) The dependant veriable is the $120 per hour and the independant veriable is the $75 consultaion fee.
(b) The table of vaules for this would look like this,
\frac{C}{T} \frac{75}{0} \frac{195}{1} \frac{315}{2} \frac{435}{3} \frac{555}{4}, where C = cost and T = time.
(c) The relationship between C and T is linear, beacause with the more hours you take the cost increases.
(d) Yes, it is sensible because the points would be in line due to the steady increase of the hourly rate.

(e) For every hour spent the cost increases 120 dollars.
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3 0
2 years ago
Bhavik bought 333 liters of milk and 555 loaves of bread for a total of \$11$11dollar sign, 11. A month later, he bought 444 lit
AnnZ [28]

Let the price of 1 litre of milk be  x$

Let the price of 1 loaf of bread be y$

According to the problem

333x + 555y =11

444x+444y=10

On subtracting the two,

We get

(333x+555y=11) * 444

(444x+444y= 10) * 333

(-)     (-)         (-)

147852x + 246420y =4884

147852x + 147852y = 3330

(-)            (-)                  (-)

------------------------------                   

 98568y = 1554     

           y = 1554/98568     

              = 0.0157$          

                 =0.02$    

Price of 1 loaf of bread= 2 cents    

On putting the value of y 

333x + 555*0.0157 = 11333x  + 8.7135 = 11333x = 2.2865x = 2.2865/333x = 0.00068$   = 0.01$

Price of 1 litre of milk = 1 cent

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