Answer:
Step-by-step explanation:
5)
2x - 4y = -1
4y = 2x + 1
y = ½x + ¼
6) (y - y₁) = m(x - x₁)
7) y = mx + b
8)
y = mx + b
-3 = 6(4) + b
-3 = 24 + b
b = -27
y = 6x - 27
Answer:
D) -4, 0
Step-by-step explanation:
find common difference.
the common difference appears to be +4 as you must add 4 to -12 to get to -8
now we find the missing terms.
the previous term of the first missing term is -8
if the common difference is +4 then the next term would be -8 + 4 = -4
the term after that would be -4 + 4 = 0
the two missing terms are -4 and 0
Answer:
Step-by-step explanation:
Take two points from the graph
(0,24) and (6,12)
Find the slope
The formula to calculate the slope between two points is equal to
substitute
---> is negative because is a decreasing function
Find the equation of the line in slope intercept form
we have
Note: The y-intercept is given (0,24)
substitute
Answer:
√87 and √200
Step-by-step explanation: If a square root is not a perfect square, then it is considered an irrational number. These numbers cannot be written as a fraction because the decimal does not end (non-terminating) and does not repeat a pattern (non-repeating).
Answer:
(2,1)
Step-by-step explanation:
So the first thing you want to do is substitute. You want to plug in the equation for y in for the y value above.
So you would do 3x+4(x-1)=10. As you can see we took the bottom equation and put it in for the top equation. We did this so we only have x s and no y s.
Now you would solve. You would distribute first. You would get 3x+4x-4=10. Now combine like terms. 3+4 is 7 so you would get 7x-4=10.The next thing you want to do is get the 7x by itself so move the 4.You would get 7x=14. Now divided both sides by 7 because you want to get the x by itself.
You would get x=2. Now for the y value just plug it in for an equation above. The easier one would be y=x-1. y=(2)-1 will equal 1. You write your final answer in (x,y) style. Your final answer will then be (2,1)