namely, how many times does 2/7 go into 7/8?
Answer:
d) the slope of f(x) is greater than the slope of g(x)
Step-by-step explanation:
to find the slope of an equation, you look at its rise/run. for f(x), you can see that from one point (0, 3) to another (1, 1) it goes down 2 values (3 - 1) and over 1 value (0 + 1). because it goes down 2 values, the rise is -2, and because it moves to the side 1 value positively, the run is +1.
-2/+1 = -2. this means the slope of f(x) = -2.
finally, it says the slope of g(x) = -6, and -2 > -6. i hope this helps! :)
A) x = 8
B) a = 80
C) y = 7
D) c = 12
Hope this helped! :)
Answer:
- <em>B. The grouping method of factoring trinomials involves rewriting the bx term into the factors that fit the particular trinomial, and factoring these four terms using grouping</em>
Explanation:
The description may be better explained by applying it to an example.
Example:
- the general form of a trinomial is a x² - bx - 30
- comparing with x² - x - 30 the <em>bx term </em>is - x
- then you must <em>rewrite the bx term, - x,</em> into two terms whose coefficients are factors of 30:
Two numbers which add up - 1 and multipled are - 30. Those numbers are - 6 and + 5, because -6 + 5 = - 1 and (-6) × (+5) = -30.
Hence, the two terms are -6x and 5x, and the expression rewritten is:
x² - 6x + 5x - 30
- <em>factor these four terms using grouping</em>:
(x² - 6x) + (5x - 30)
x(x - 6) + 5(x - 6)
(x - 6) (x + 5)
Hence, the factored trinomial is (x - 6) (x + 5)
