ramona had 8 3/8 in. of ribbon. she used 2 1/2 in. for an art project. how many does she have left? find the difference in simplest form.

Answers

Answer 1

Answer: the answer is 5 7/8
b/c 2 1/2 = 2 4/8
so then convert 8 3/8 as an improper fraction which is 67/8
and do the same w/ 2 4/8 which is 20/8
the do: 67/8 - 20/8 = 47/8
simplify 47/8 = 5 7/8.
Your answer is 5 7/8 inches of ribbon left.

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Determine the smallest integer value of a for which f(x) has imaginary zeroes. Show how you foundthis answer.

Answers

1 is the smallest possible integer.

Given that: $f(x)=ax^2-2x+5$ .

The discreminant of this equation is:

$b^2-4ac=(-2)^2-4a(5)=4-20a$

For imaginary zeros, we must get discreminant less than 0.

So,

$4-20a<0\n20a>4\na>(4)/(20)\na>0.2$

Next integer of 0.2 is 1.

So 1 is the smallest possible integer.

Learn more: brainly.com/question/20521181

The question is incomplete, the complete question is

Determine the smallest integer value of a for which f(x) = ax² - 2x + 5 has imaginary zeroes. Show how you found this answer

Answer:

The smallest integer value of a is 1

Step-by-step explanation:

To find the zeroes of a function equate it by 0, then find the values of x which are the zeroes of the function

To find the types of the roots (zeroes) of a function f(x) = ax² + bx + c use the discriminant of the function b² - 4ac

If b² - 4ac > 0, then the function has two different real roots
If b² - 4ac = 0, then the function has one real root
If b² - 4ac < 0, then the function has no real roots (imaginary roots)

∵ f(x) = ax² - 2x = 5

- To find its zeroes equate f(x) by 0

∴ ax² - 2x + 5 = 0

∵ f(x) has imaginary zeroes

- That means the discriminant is less then zero

∴ b² - 4ac < 0

∵ a = a, b = -2 and c = 5

- Substitute them in the inequality above

∴ (-2)² - 4(a)(5) < 0

∴ 4 - 20 a < 0

- Add 20 a to both sides

∴ 4 < 20 a

- Divide both sides by 20

∴ 0.2 < a

- That means a is greater than 0.2

∴ a > 0.2

∵ You must to find the smallest integer value of a

- The first integer greater than 0.2 is 1

∴ a = 1

The smallest integer value of a is 1

What is the best estimate for 12 2/3 - 9 1/10

Answers

12 2/3 is approximately 12.67, so we can round this up to 13.

9 1/10 is 9.1, so we can round this down to 9.

13 - 9 = 4

So 4 is our estimated answer.

How do you subtract an integer from another integer without using a number line or counters

Answers

Okay, so, I think I understand your problem. Not everyone knows how to subtract the different positive and negative integers, and not everyone is great at math. I understand that, so that is why I will give you a couple of tips. First off, whenever you are subtracting a negative integer and another negative integer, the answer will always be negative. When you are subtracting two positives, depending on the number values, they will either be positive or negative. And when subtracting a positive and negative, the answers will always be positive. Other then that, you can use mental math, or write out the problems on a sheet of paper.

A right rectangle prism has a length of 2 1/2 feet, a width of 3 feet, and a height of 1 1/2 feet. Unit cubes with side lengths of 1/2 foot are added to completely fill the prism with no space remaining. What is the volume, in cubic feet, of the right rectangular prism? How many 1/2 foot unit cubes can be added to fill the prism completely?