What statement is true? Use the number line to help

-2 is greater than -2 1/2

Step-by-step explanation:

All the other questions are false and only answer a is correct because -2 is closer to 0 than -2 1/2.

Step-by-step explanation:

B is wrong. This is because when you look on the number like you can see that the option for 1.5 is greater than one is false. This is because 1.5 is ahead of the 1 on the number line.

C is wrong. This is because the number 1 is greater than -1.5. The number one is ahead of the number -1.5.

D is wrong. D is wrong because when a smaller number is negative then it is bigger than a larger number that is negative. So -1.5 is smaller than -0.5.

So the answer is A. -2 is greater than -2.5. It can be proved because of the rule written that a smaller number is negative then it is bigger than a larger number that is negative. So -2.5 is smaller than -2. And the reciprocal is true. -2 is larger than -2.5.

Hope this helped,

Kavitha

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.