Answer:
x=6
Step-by-step explanation:
To solve, we need to get the variable, x, by itself. To do this, first, move all the variables to one side of the equation, and the numbers to the other
2/3(15x-6)=8(x+1)
First, distribute the 2/3 on the left
2/3*15x + 2/3*-6=8(x+1)
10x-4=8(x+1)
Next, distribute the 8 on the right
10x-4=8*x + 8*1
10x-4=8x+8
Subtract 8x from both sides
10x-8x-4=8x-8x+8
2x-4=8
Add 4 to both sides
2x-4+4=8+4
2x=12
Now all the numbers are on one side, and the variables are on the other. x is not by itself though, it is being multiplied by 2. To undo this, divide both sides by 2
2x/2=12/2
x=6
Answer: n= 32
Jakes started with 32
Step-by-step explanation:
Let n represent the initial integer.
Step 1: take the reciprocal.
Reciprocal of n = 1/n
Step 2: double the number obtained in step 1
= 2×1/n = 2/n
Step 3: take the reciprocal of the number obtained in step 2.
Reciprocal of 2/n = n/2
Since he ended up with 16
n/2 = 16
n = 2×16 = 32
Answer:
a=4 n=25
Step-by-step explanation:
5a+5=n
(a+n)-4+25
a+n=29
5(4)+5=n
20+5=25
Answer:
1.) 1 1/3 or 4/3
2.) 6
3.) 8
Step-by-step explanation:
Function composition substitutes more than just values or constants. It substitutes functions inside another function. Solve each expression by starting inner most and working to outermost.
1.) f(g(0)) = 1 1/3
Let g(x)=3x+2 and f(x)= x-2/3.
Begin with g(0) = 3(0) + 2 = 2.
Substitute x = 2 into f(x).
f(2) = (2) - 2/3 = 1 1/3
2.) g(f(2)) = 6
Let g(x)=3x+2 and f(x)= x-2/3.
Begin with f(2) = 2 - 2/3 = 1 1/3.
Substitute x = 1 1/3 into g(x).
g(1 1/3) = 3( 1 1/3) + 2 = 3(4/3) + 2 = 4 + 2 = 6
3.) g(g((0))
Let g(x)=3x+2.
Begin with g(0) = 3(0) + 2 = 2.
Substitute x = 2 into g(x).
g(2) = 3(2) + 2 = 8
Answer:
Step-by-step explanation:
