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3 years ago

Determine which of the following relations represent a function.

Mathematics

1 answer:

Darina [25.2K]3 years ago

5 0

Answer:

Step-by-step explanation:

In a function, each input (x) must match with one output (y). So, if there are two sets of coordinates with the same y value, that's not a function.

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zubka84 [21]

Answer:

See Explanation Below

Step-by-step explanation:

Given

$(sin x - cos x)^2 = sec^2x - tan^2x - 2sinx.cos x.$

Required

Prove

To start with; we open the bracket on the left hand side

$(sin x - cos x)^2 = (sin x - cos x)(sin x - cos x)$

$(sin x - cos x)^2 = (sin x )(sin x - cos x)- (cos x)(sin x - cos x)$

$(sin x - cos x)^2 = sin^2 x -sinx cos x - sin xcos x + cos^2 x$

$(sin x - cos x)^2 = sin^2 x -2sinx cos x + cos^2 x$

Reorder

$(sin x - cos x)^2 = sin^2 x + cos^2 x - 2sinx cos x$

From trigonometry;

$sin^2x + cos^2x = 1$

So;

$(sin x - cos x)^2 = sin^2 x + cos^2 x - 2sinx cos x$

becomes

$(sin x - cos x)^2 = 1 - 2sinx cos x$

Also from trigonometry;

$sec^2x - tan^2x = 1$

So,

$(sin x - cos x)^2 = 1 - 2sinx cos x$

becomes

$(sin x - cos x)^2 = sec^2x - tan^2x - 2sinx cos x$

Proved

3 0

3 years ago

Mike bought 2 3/4 pounds of riceHe wants to distribute it among bins that each hold 1/3 pound of rice. How many bins can he comp

KATRIN_1 [288]

Answer:

8 bins filled completely; remaining rice fills ⅓ bin.

Step-by-step explanation:

7 0

3 years ago

Change the decimal into a %:0.7

Tomtit [17]

Simply multiply 0.7 by 100. 0.7 x 100= 70%. The answer is 70%

8 0

3 years ago

Read 2 more answers

10) Solve the temperature formula for F.

tensa zangetsu [6.8K]

Answer:

doop

Step-by-step explanation:

4 0

3 years ago

PLEASE HELP!!!!!

leva [86]

Answer:

11.7 units

Step-by-step explanation:

sq root(2--4)^2+(-7-3)^2

sq root(6)^2 + (-10)^2

sq root (36)+(100)

sq root 136

equals 11.66 which rounds up to 11.7

6 0

3 years ago