Step-by-step explanation:
The problem states that you have a linear function so expect your equation to have this form:
y = mx + b
where m is the slope and b is the y-intercept. You are also given two points: P1(5, 6) and P2(14, 60). Use these points to solve for the slope m.
m = (y2 - y1) / (x2 - x1) = (60 - 6)/(14 - 5)
= 54/9 = 6
So our equation now becomes
y = 6m + b
To solve for b, plug in the values of P1:
6 = 6(5) + b ---> b = -24
Therefore, our equation is
y = 6m - 24
The rest of the points are
(8, 24)
(11, 42)
Answer:
Step-by-step explanation:
OMG!!!!! why don't you just SAY YOU WANT a BLEEPING REFLECTION!!!
I had to search through a slew of your questions to get clues as to what to do.
To reflect over the x axis, just negate the y term and leave the x term as it is.
M becomes (2, -1)
N becomes (-3, -1)
P becomes (-1, -4)
No; a domain value has two range values.
x = -2 then y = 1 and 2
they would form a vertical line, which tells us that it's not a function
Answer:
Naomi will get paid $630 if she only works 30 hours this week.
Step-by-step explanation:
You divide 840 by 40 to see how much you get paid per hour.
Once you do that you get $21 per hour.
You multiply 21 by 30 to know how much you'd be paid for working 30 hours.
You get your final answer which is $630.
BD = 2x-4
But it's also BE - CE + CD
BE is 3x-1
CE is 2x-3
CD is 2
so
BD = 3x-1 -(2x-3) +2
simplified
BD = 1x +4
since BD = BD (obviously), we can also say that the righthand sides of the two equation must be equal
2x -4 = 1x +4
let's solve for x and that put it into either of the 2 equations.
2x -4 = 1x +4
subtract 1x on both sides
x -4 = 4
add 4 on both sides
x = 8
substitute x for its value in 2x -4 = 1x +4
(this way we double check BD in two expressions at once. the equation should come out true, meaning same value for BD in each expression. both sides should be equal).
2*8 -4 = 1*8 +4
12 = 12
seems true
BD is safely 12
