Answer:
the third option: x + 2(2x - 4) = 10
Step-by-step explanation:
the question tells you that y = 2x - 4.
so, instead of writing y in the equation, just replace it with 2x - 4.
x - 2y = 10
becomes
x - 2(2x-4) = 10
Answer:
y = ax(x – 300)^3(x – 700)^1(x – 1000)^2
Step-by-step explanation:
The slope-intercept form of a line is:
y=mx+b, where m=slope and b=y-intercept (value of y when x=0)
First you must find the slope, or m value.
m=(y2-y1)/(x2-x1), which is the change in y divided by the change in x. In this case:
m=(5--3)/(-4--1)
m=(5+3)/(-4+1)
m=8/-3
m=-8/3
So far our line is:
y=-8x/3+b, we can now solve for the y-intercept, or b, using any point on the line, I'll use (-4,5):
5=-8(-4)/3+b
5=32/3+b
15/3=32/3+b
15/3-32/3=b
-17/3=b
So now we know the value for both terms in our line:
y=(-8x-17)/3
First, we'll set up two equations. One for the amount of each coin and another for the value of the coins.
N will represent nickels
D will represent dimes
N + D = 30
---The problem tells us that there are 30 total coins
0.05N + 0.10D = 2.95
---Nickels are worth 5 cents and dimes are worth 10 cents, and the total value of the coins is 2.95
Now that we have our equations, we need to solve for one of the variables in the first equation. I will solve for N.
N + D = 30
N = 30 - D
Then, we take that equation and substitute our new value for N into the second equation (value) and solve for D.
0.05(30 - D) + 0.10D = 2.95
1.5 - 0.05D + 0.10D = 2.95
1.5 + 0.05D = 2.95
0.05D = 1.45
D = 29
Now that we know how many dimes there are, we can plug that value into our equation for N and solve for N.
N = 30 - D
N = 30 - 29
N = 1
Therefore, there are 29 dimes and 1 nickel.
Hope this helps!
No if the sun was 8000000000 in diamiter than yes, but its not