Question

Help please! I need explanation too.
Fan and Medal

Answer 1

-2 < y < -1

Answer 2

-20 < 10y < -10


-2^-n < y^-n < -1^-n
-1 / 2^n < 1/y^n < -1

Answer 3

I am sorry but I don't get anything that you wrote. ;s

Answer 4

Choose a number within the range you are given.
Then use it in each expression in the choices.
Then see which one gives you the greatest value.

Answer 5

Can you name one number that is in between -2 and -1?

Answer 6

Plot both -2 and -1 on a number line. Which number is to the right of the other on this graph? Now identify a number between -1 and -1. It'll be a negative number.

Answer 7

^Now identify a number between -2 and -1.

Answer 8

-2 and -1? shouldn't it include just something like -1.2 or so ;/ i dont get it

Answer 9

Yes, exactly. You can pick -1.2, -1.5, -1.8, -1.1, or any other number between -2 and -1.
Now use the number you picked, -1.2, in all the expressions in the choices.
Then see which one gives you the greatest value.

Answer 10

can this question be done without a calculator? I am very worried as this test is extremely important and they don't allow the use of a calculator i dont know why? @mathstudent55

Answer 11

number properties? what do i need to learn to solve questions like this? this section is timed (1.2 minutes per question)

Answer 12

I think you can figure it out without a calculator.
Let's say you pick -1.5 to be y.

A. \(10y = 10(-1.5) = -15\)

B. \(y^{-2} = (-1.5)^{-2} = \dfrac{1}{1.5^2} \)

C. \(y^{-3} = (-1.5)^{-3} = -\dfrac{1}{1.5^3} \)

C. \(y^{-4} = (-1.5)^{-4} = \dfrac{1}{1.5^4} \)

Answer 13

^Last line above is D. not C.

A. The first one is easy to do. Just multiply -1.5 by 10. You get -15
B. and D. you get two positive results, but since the denominator in D. is a larger number, the result of B is greater than the result of D.
C. The result is negative.

Form the above, which one can you conclude is the greatest number?

Answer 14

B!

Answer 15

Correct.