I need help on the problem below. The instructions say to "factor the expression" and the expression is:
-.2x^2 + 80x -6000.
Thanks
WOW! This looks like algebra, not 6th grade.
The rectangular backyard is 100 feet by 80 feet, and the patio is 13 feet by 8 feet. What is the area of the backyard that is planted with grass?
38kg 4g divide by 12
it is
i can't figure out this problem 12 and 1/2 as a percentage... i need help
To factor the expression -.2x^2 + 80x - 6000, you can follow these steps:
Step 1: First, check if there is a common factor that you can factor out. In this case, we can factor out -0.2 from each term:
-.2x^2 + 80x - 6000 = -0.2(x^2 - 400x + 30,000)
Step 2: Next, we want to factor the quadratic expression inside the parentheses: (x^2 - 400x + 30,000). To do this, we'll need to find two numbers whose sum is -400 and product is 30,000.
Step 3: To simplify things, we can divide each term in the expression by 100 to make the calculations easier:
x^2 - 400x + 30,000 = (x^2 - 400x + 30,000)
Step 4: Now, let's consider the possible factorizations. We know that the product of two numbers is 30,000, so we can start by listing some pairs of numbers with a product of 30,000:
1 x 30,000
2 x 15,000
3 x 10,000
4 x 7,500
5 x 6,000
6 x 5,000
...
Step 5: We are looking for a pair of numbers whose sum is -400. By trial and error, we can find that -200 and -200 satisfy this condition.
Step 6: Now, we can rewrite the expression using these numbers:
(x^2 - 400x + 30,000) = (x - 200)(x - 200)
Step 7: Simplify the expression:
(x - 200)(x - 200) = (x - 200)^2
Therefore, the factored form of the expression -.2x^2 + 80x - 6000 is (-0.2)(x - 200)^2.