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4 years ago

How do you write 4 and one eighth as a fraction greater then one

Mathematics

1 answer:

Charra [1.4K]4 years ago

8 0

It is 33/8......

You multiply the whole by the denominator then add the numerator and you'll get 33/8!

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which of the functions have a range of real numbers greater than or equal to 1 or less than or equal to-1

lilavasa [31]

The question is incomplete. Here is the complete question:

Which of the functions have a range of all real numbers greater than or equal to 1 or less than or equal to -1? check all that apply.

A. $y=\sec x$

B. $y= \tan x$

C. $y= \cot x$

D. $y= \csc x$

Answer:

A. $y=\sec x$

D. $y=\csc x$

Step-by-step explanation:

Given:

The range is greater than or equal to 1 or less than or equal to -1.

The given choices are:

Choice A: $y=\sec x$

We know that, the $\sec x=\frac{1}{\cos x}$

The range of $\cos x$ is from -1 to 1 given as [-1, 1]. So,

$|\cos x|\leq 1\\\textrm{Taking reciprocal, the inequality sign changes}\\\frac{1}{|\cos x|}\geq 1\\|\sec x|\geq 1$

Therefore, on removing the absolute sign, we rewrite the secant function as:

$\sec x\leq -1\ or\ \sec x\geq 1\\$

Therefore, the range of $y=\sec x$ is all real numbers greater than or equal to 1 or less than or equal to-1.

Choice B: $y= \tan x$

We know that, the range of tangent function is all real numbers. So, choice B is incorrect.

Choice C: $y= \cot x$

We know that, the range of cotangent function is all real numbers. So, choice C is incorrect.

Choice D: $y=\csc x$

We know that, the $\csc x=\frac{1}{\sin x}$

The range of $\sin x$ is from -1 to 1 given as [-1, 1]. So,

$|\sin x|\leq 1\\\textrm{Taking reciprocal, the inequality sign changes}\\\frac{1}{|\sin x|}\geq 1\\|\csc x|\geq 1$

Therefore, on removing the absolute sign, we rewrite the cosecant function as:

$\csc x\leq -1\ or\ \csc x\geq 1\\$

Therefore, the range of $y=\csc x$ is all real numbers greater than or equal to 1 or less than or equal to-1.

6 0

3 years ago

Which of the following is a solution of the linear equation 4x + 3y = 16? * (1, 4) (2, 3) (1, 3) (2, 4)

rosijanka [135]

Answer:

(1,4)

Step-by-step explanation:

if u substitute these numbers u can find out that these numbers make the solution.

hope this helps

8 0

3 years ago

Find the slope of the line that passes through (-20, -51) and (31, -75).

lilavasa [31]

Answer:

-8/17

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-75-(-51))/(31-(-20))

m=(-75+51)/(31+20)

m=-24/51

m=-8/17

7 0

3 years ago

Two nimbers have a product of 90 and a sum of 19. What are the two numbers?

bulgar [2K]

Answer:

9 + 10 = 19 product is 9 x 10 = 90 9^2 + 10^2 = 181

6 0

3 years ago

Help i don't know what to do I will give brainiest

sukhopar [10]

Answer:

The sum will be whichever number has the greater value.

Step-by-step explanation:

Let's say you have (-2) + 4 = ?

The number with the greater value is 4.

So the sum of your answer would be a positive, since the greater number has a positive sign.

3 0

3 years ago