x^2 - 2x - 3
1.1 Factoring x2-2x-3
The first term is, x2 its coefficient is 1 .
The middle term is, -2x its coefficient is -2 .
The last term, "the constant", is -3
Step-1 : Multiply the coefficient of the first term by the constant 1 • -3 = -3
Step-2 : Find two factors of -3 whose sum equals the coefficient of the middle term, which is -2 .
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and 1
x2 - 3x + 1x - 3
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-3)
Add up the last 2 terms, pulling out common factors :
1 • (x-3)
Step-5 : Add up the four terms of step 4 :
(x+1) • (x-3)
Which is the desired factorization
Given:
The length of field is n yards.
The length of a field in feet is a function f(n).
To find:
The function rule for this situation.
Solution:
We know that,
1 yard = 3 feet
Using this conversion, we get
n yard = 3n feet
The length of field is n yards. So, the length of the field is 3n feets.
The length of a field in feet is a function f(n). So,
Therefore, the required function rule for this situation is .
Answer: 37
Step-by-step explanation:
First, we need to find what h(-8) is. We can do this by substituting and simplifying the given function.
Given:
h(x) = x² - 5x +7
Substitute:
h(-8) = (-8)² - 5(-8) +7
Square and multiply:
h(-8) = 64 + 40 +7
Add:
h(-8) = 111
Next, we can find one-third of this. To do this, we will multiply.
Multiply:
(1/3) * 111 = 37
V=(1/3)pi r^2 h
Answer:
Step-by-step explanation:
You want to add these two fraction together so they need to have the same denominator. Find the common denominator by multiplying both denominators
2x5=10
then convert the fractions
(1/2)x5=5/10
(2/5)x2=4/10
now you can add them
(5/10)+(4/10)=9/10
so 9/10 students wear black or white shoes