Answer: y=2x+8
Step-by-step explanation:
(2,12)=(x1,y1)
(-7,-6)=(x2,y2)
(y2-y1)/(x2-x1)=(-6-12)/(-7-2)=-18/-9=2=m
y=mx+b
y=2x+b
insert (2,12) to y=2x+b
12=2*2+b
12=4+b
8=b
y=2x+8
Answer:
D
Step-by-step explanation:
A unit rate is basically which one increases more as time goes on. Now. to make it easier let me explain visual.
You have 50 apples at the start and every hour you get 200 more apples, sweet!
Now let's look at the chart.
The first one is 200x+100, this is wrong since this has a better start but you don't get as much apples.
Same goes for the B and C. The only one that would make sense is D since you're also adding 10 more apples for each one you increase.
None I would think because none of them are them because if you it is not the
Answer:
9 Quarters
8 Dimes
3 Nickels
Step-by-step explanation:
We let the number of quarters be q
number of dimes be d
and
number of nickels be n
Since quarters are worth 0.25, dimes are worth 0.10 and nickels are worth 0.05 and total worth is 3.20, we can write an equation as:
0.25q + 0.10d + 0.05n = 3.20
Next,
3 times as many quarters as Nickels, we can write:
q = 3n
and
5 more dimes than nickel, we can write:
d = n + 5
Substituting these last 2 equations in the first and solving for n gives us:
0.25q + 0.10d + 0.05n = 3.20
0.25(3n) + 0.10(n+5) + 0.05n = 3.20
0.75n + 0.10n +0.5 + 0.05n = 3.20
0.9n = 2.70
n = 2.70/0.9 = 3
n = 3
We know q = 3n, so
q = 3(3) = 9
Also, we know d = n + 5, which means:
d = 3 + 5 = 8
Thus,
There are:
9 Quarters
8 Dimes
3 Nickels
Answer:
(1) {-1/4, 0, 3}
Step-by-step explanation:
Step 1: Factor left side of equation.
2x(4x+1)(x−3)=0
Step 2: Set factors equal to 0.
2x=0 or 4x+1=0 or x−3=0
x=0 or x= −1/4 or x=3
