Answer:
Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)
<em><u>answer</u></em><em><u>:</u></em>
<em><u>2</u></em><em><u>y</u></em><em><u>(</u></em><em><u>x³</u></em><em><u>+</u></em><em><u>4</u></em><em><u>x-2x²-8</u></em><em><u>)</u></em>
Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
answer:
<em><u>2y(x³+4x-2x²-8)</u></em>
<em><u>2</u></em><em><u>y</u></em><em><u>(</u></em><em><u>x³-2x²</u></em><em><u>+</u></em><em><u>4</u></em><em><u>x</u></em><em><u>-</u></em><em><u>8</u></em><em><u>)</u></em>
<em><u>2</u></em><em><u>y</u></em><em><u>(</u></em><em><u>x²</u></em><em><u>(</u></em><em><u>x-2</u></em><em><u>)</u></em><em><u>+</u></em><em><u>4</u></em><em><u>(</u></em><em><u>x-2</u></em><em><u>)</u></em><em><u>)</u></em>
<em><u>2</u></em><em><u>y</u></em><em><u>(</u></em><em><u>x²</u></em><em><u>+</u></em><em><u>4</u></em><em><u>)</u></em><em><u>(</u></em><em><u>x-2</u></em><em><u>)</u></em>
<em><u>Question:</u></em>
One dollar is worth 3 1/2 kruneros. What is the value of 43 3/4 kruneros?
<em><u>Answer:</u></em>
The value of kruneros is 12.5 dollars
<em><u>Solution:</u></em>
Given that,
Dollar is worth three and 3 1/2 kruneros
Which means,
We have to find the value of kruneros
Let us convert the mixed fractions to improper fractions
Multiply the whole number part by the fraction's denominator.
Add that to the numerator.
Then write the result on top of the denominator.
So we have to find the value of 43.75 kruneros
Let "x" be the value of 43.75 kruneros
Then,
1 dollar = 3.5 kruneros
x dollar = 43.75 kruneros
This forms a proportion and we can solve the sum by cross multiply
Thus value of kruneros is 12.5 dollars
Answer: Any real number x as long as and
In other words, anything but 0 or -2/3 is valid.
========================================================
Explanation:
Set the denominator equal to zero and solve for x
2(3x^2 + 2x) = 0
3x^2 + 2x = 0
x(3x + 2) = 0
x = 0 or 3x+2 = 0 .... zero product property
x = 0 or 3x = -2
x = 0 or x = -2/3
If either x = 0 or x = -2/3, then the denominator 2(3x^2 + 2x) will be zero. But recall that we cannot have zero in the denominator. Dividing by zero is not allowed. The expression is undefined when we divide by zero.
Therefore, we must exclude x = 0 and x = -2/3 from the domain. Any other real number is valid as an x input.
Answer:
20% = 0.2
Step-by-step explanation:
To find the decimal version of the percentage, we need to divide by a 100.
20 / 100 = 0.2
Best of Luck!
This would be 1/3
explanation:
1 7/8= 15/8
5 5/8= 45/8
15/8 / 45/8= .33333 = 1/3