3 and 1/4 times -2 and 3/5? Answers: A. -8 9/20 B. -6  and 3/20 C. 6 and 3/20 D. 8 and 9/20

Answer:

B. y = tan x  and  C. y = cot x

Step-by-step explanation:

Range:

range is defined as the set of values that any given function y=f(x), can take for which the x values are defined. It is the value that y can take for the values of x.

Given:

From the given options

the range of tanx and cotx are all real numbers

as the period of tanx and cotx are π

where as range of secx is all real numbers except π/2 + n*π i.e.

(-∞ , -1] U [1 , + ∞)

And range of cscx is all real numbers except n*π i.e.

(-∞ , -1] U [1 , + ∞)

So from the given option:

option B and C are correct while A and D are not !

Hello!

The answer is:  The correct options are B. Tan(x) and C. Cot(x)

Why?

The range is the output of a function when we evaluate the function with inputs (domain), not all functions have a range of all real numbers, however it's more common to find functions without range or domain restrictions.

Both options B. Tan(x) and C. Cot(x) have a range of all real numbers while the functions Sec(x) and Csc (x) have a restricted range.

Sec(x) and Csc(x):

Domain, all real numbers.

Range, from -1 to 1 or  [-1,1]

Tan(x) and Cot(x):

Domain, all real numbers except

Range, all real numbers.

Hence, the correct options are B. Tan(x) and C. Cot(x)

Have a nice day!

Answer: She will need 12 pint sized containers.

Step-by-step explanation:

Since, '1 quart' container contains juice = 1 quart = 0.25 gallons.

⇒ Two '1 quart' container contain the juice = 2 × 0.25 = 0.50 gallons,

Let after that she used x, ' 1 pint ' containers,

Since, 1 pint container contains juice = 1 pint = 0.125 gallons,

⇒ x ' 1 pint ' containers contains juice = 0.125x gallons,

Now, if she want to make total 2 gallon of juice,

Then, 0.50 + 0.125x = 2

⇒ 0.125 x = 1.5

⇒ x = 12

Thus, She will need 12 pint sized containers.