Answer:
Step-by-step explanation:
slope intercept form is y = mx + b
b is the y intercept ( crossing y axis value).... by inspection b = -4
m is the slope of the line, Slope = m = 1/4 note: the slope is positive
the slope equals the 'rise' over 'run'
if the line moves up the slope is positive, if the line moves down the slope is negative
the rise is how many y units does the line go 'up' or 'down'
the run is how many x units does the line go 'left' or 'right'
the rise = 1 Y unit
the run = 4 X units
y = mx + b m =1/4 b = -4
y = (1/4)x + (-4)
y = (1/4)x - 4
graph a line stating at y = -4 and going up (rising) to the right ONE Y Unit for every FOUR X units (the run)
For this question, it would be most effective to use an algebraic expression to more easily show what the question is asking. If we use the variable "k" to show the distance in km that he cycled on Sunday, we know that the amount he cycled on Saturday equals k + 12, and the amount that he cycled on the weekend should be the amount of Saturday plus the amount of Sunday. If we write this as an equation we say:
k + k + 12 = 38
=> 2k + 12 = 38
Now we can just rearrange and solve for k:
=> 2k = 26
=> k = 26/2 = 13
Therefore Patrick cycled 13km on Sunday
To solve the answer, we just add 12km to the value for Sunday like so:
12 + 13 = the amount he cycled on Sunday
Hope this helped, remember to please try and understand the maths as well as the answer :))
I think the answer is C hope this would help you
Answer:
(-2,9) ,(4,-3)
Step-by-step explanation:
Given the expression 2x+y=5
We are required to look for values of x and y such that when substituted into the given expression will result in the number 5
The Pairs are (-2,9) ,(4,-3)
Let us plug in the values to check
1. (-2,9)
2(-2)+9=5
-4+9=5
5=5 true
2. (4,-3)
2(4)+(-3)=5
8-3=5
5=5 true
Answer:
f(4) = -11
Step-by-step explanation:
Plug in 4 for x: Note that x = 4.
f(x) = -2x - 3
f(4) = -2(4) - 3
Remember to follow PEMDAS. First, solve the multiplication, then subtract:
f(4) = (-2 * 4) - 3
f(4) = (-8) - 3
f(4) = -11
f(4) = -11 is your answer.
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