<em>the remainder is </em><em>- 1</em>
- Step-by-step explanation:
<em>when (x ³ - 7x + 5) is divided by (x + 3) the remindeer is f( -3 )</em>
<em>x + 3 = 0 => x = - 3</em>
<em>f(-3) = (-3)³ - 7(-3) + 5</em>
<em>= - 27 + 21 + 5</em>
<em>= - 1</em>
<em />
<h2>
Answer:</h2>
For a real number a, a + 0 = a. TRUE
For a real number a, a + (-a) = 1. FALSE
For a real numbers a and b, | a - b | = | b - a |. TRUE
For real numbers a, b, and c, a + (b ∙ c) = (a + b)(a + c). FALSE
For rational numbers a and b when b ≠ 0, is always a rational number. TRUE
<h2>Explanation:</h2>
- <u>For a real number a, a + 0 = a. </u><u>TRUE</u>
This comes from the identity property for addition that tells us that<em> zero added to any number is the number itself. </em>So the number in this case is
, so it is true that:

- For a real number a, a + (-a) = 1. FALSE
This is false, because:

For any number
there exists a number
such that 
- For a real numbers a and b, | a - b | = | b - a |. TRUE
This is a property of absolute value. The absolute value means remove the negative for the number, so it is true that:

- For real numbers a, b, and c, a + (b ∙ c) = (a + b)(a + c). FALSE
This is false. By using distributive property we get that:

- For rational numbers a and b when b ≠ 0, is always a rational number. TRUE
A rational number is a number made by two integers and written in the form:
Given that
are rational, then the result of dividing them is also a rational number.
To solve this we are going to use the formula for the volume of a cylinder:

where

is the volume of the cylinder in cube centimeters

is the radius of the cylinder in centimeters

is the height of the cylinder in centimeters
We know for the problem that volume of our cylinder is 26,460 mL. Since 1 mL =

, the volume of our cylinder is

. We also know for our problem that the height of our cylinder is 60 cm, so

. Lets replace those values in our formula and solve for

:








We can conclude that the radius of the football team's <span>cylindrical container is
11.8 cm</span>
I think no, because a pyramid's lateral face is a triangle, and he can only draw a prism if it's rectangular