Answer:
1) x³-y³ = (x-y)(x²-xy+y²)
2)x²-y² =(x-y)(x+y)
3)x-y = (x-y)
hcf = (x-y)
lcm = (x-y)(x²-xy+y²)(x+y)= (x³-y³)(x+y)
Step-by-step explanation:
1.) One hundred twenty-five and forty-seven thousandths
2.) 91/100.
3.) 2769/1000
4.) 0.074
5.) 3.705
6.) 75.69
7.) 0.162 is greater than 0.07
8.) 8.049 is greater than 8.0094
9.) 6
10.) 5.678
11.) 5.7
Answer:
y=−x−1/3x−8
Step-by-step explanation:
y=8x−1/3x+1
To find the inverse function, swap x and y, and solve the resulting equation for x.
If the initial function is not one-to-one, then there will be more than one inverse.
So, swap the variables: y=8x−1/3x+1 becomes x=8y−1/3y+1.
Now, solve the equation x=8y−1/3y+1 for y.
y=−x−1/3x−8
Sorry I was in a rush and couldn't do the fractions as formulae. Hope it helped anyways.
To solve for x:
Move all the terms containing "x" to the left side of the equation. Do this by adding x to both sides.
2x+x=3x. The new equation is:
3x-1/2=3
Now, move all terms not containing "x" to the right side of the equation. Do this by adding 1/2 to both sides.
3x=3+1/2 The new equation is:
3x=3 1/2, or 3.5
The final step is to isolate x. To do so, divide each side by 3.
3x/3 = 3 1/2 /3 The new equation is:
x=1 1/6
X= 5 or -8
Add all the like terms and set it equal to 49, use quadratic formula or factoring.