5. For each conjecture, test the conjecture with several more examples or find a counter example to disprove it.

A. For every integer n, the value of n^2 is positive.

What polynomial could you add to 3x^4-9x^3+5x^2-x+7 to get the sum of 3+4x^4+3x-x^3+3x^2?

Dave has $11 to spend on a $6 book and two birthday cards (c) for his friends. How much can he spend on each card if he buys the same card for each friend?

A circle has an area of 49Tt square units. What is the diameter of the circle? 7 units 14 units 28 units 3.5 units

Charles signs up for cell phone Plan A. The starting fee is $20 and she pays $15 each month. Sam signs up for Plan B. The starting fee is $50 and he pays $10 a month. After how many months do the 2 plans cost the same amount?

The functions s and t are defined as follows. s (x) = 3x-4 t (x) = -5x+3 Find the value of s (t (-1)).

Y=|x-3|+|x+2|-|x-5|, if 3

The distance between Mike's house and the grocery store is 4/5 of a mile. Mike has walked 1/2 of a mile from his house to the grocery store. How much farther does he needs to walk to reach the grocery store? A. 13/10 miles B. 3/4 of a mile C.

List all the number sets that include sets that contain the number - 8. A: integers only. B: Integers and rational numbers. C: Integers and natural numbers. D: Integers, rational numbers, and natural numbers.

draw the following lines and then write an equation for each. a. Slope is 0, y-intercept is 5. b. Slope is 2, y-intercept is - 1. c. Slope is - 2, y-intercept is 1. d. Slope is - 1/2, y-intercept is - 1.

Nine times the sum of a number and 3 is 2