Ah, direct variation/proportion.
That is simply a linear equation with a y-intercept of 0.
So... let's solve this.
Simply put, a direct variation multiplies the x-value by a constant to get the y-value.
Let's take the point
on this graph and solve for the constant of proportionality:
We easily solve that and get our answer of
. (B)
Use the distributive property of multiplication.
25(-5x/2)=-62.5x, and 25(1/2)=12.5.
Add these together: -62.5x + 12.5 (answer)
x in terms of b:
-2(bx - 5) = 16
-2bx + 10 = 16
-2bx = 6
x = 6 / -2b
x = -3/b
--------------------------------
when b = 3 then
-2(3x - 5) = 16
-6x + 10 = 16
-6x = 6
x = -1
Answer
The value of x in terms of b is -3/b
The value of x when b is 3 is -1
Answer:
13 , 24 , 14
Step-by-step explanation:
Note that technically there are two patterns. Each one adds 1.
The first pattern starts with 11. The third number is 12, which means that the fifth number will be 13, and the 7th number will be 14.
The second pattern starts with 22. The 4th number is 23, which means the sixth number will be 24.
~
Answer:
One solution: (2.5,0)
Step-by-step explanation:
We can use substitution for the solution. Substitute y=2x-5 to -8x-4y=-20 so that you end up with -8x-8x+20=-20. Next you want to add like terms which will be -16x+20=-20, next you want isolate x by subtracting 20 from both sides and leaves you with -16x=-40. Divide -16 on both sides to fully isolate x and will leave you with x=2.5. Now substiture in 2.5 for x in y=2x-5 to get y=2(2.5)-5 which will then lead to y=0.
