Answer:
C. Kalena made a mistake in Step 3. The justification should state: -x²
+ x²
Step-by-step explanation:
Given the function x(x - 1)(x + 1) = x3 - X
To justify kelena proof
We will need to show if the two equations are equal.
Starting from the RHS with function x³-x
First we will factor out the common factor which is 'x' to have;
x(x²-1)
Factorising x²-1 using the difference of two square will give;
x(x+1)(x-1)
Note that for two real number a and b, the expansion of a²-b² using difference vof two square will give;
a²-b² = (a+b)(a-b) hence;
Factorising x²-1 using the difference of two square will give;
x(x+1)(x-1)
Factorising x(x+1) gives x²+x, therefore
x(x+1)(x-1) = (x²+x)(x-1)
(x²+x)(x-1) = x³-x²+x²-x
The function x³-x²+x²-x gotten shows that kelena made a mistake in step 3, the justification should be -x²+x² not -x-x²
Answer:
2
Step-by-step explanation:
|a+x|/2 − |a−x|/2 , if a=−2; x=−6
Evaluate this expression
Simply plug in the numbers
| -2 + -6 | /2 - |-2 - -6|/2
|-8| /2 - |4|/2
4 - 2
2
Answer:
I think b because it goes from most to least sorry if u can't understand
1.)
6% of 38
1% of 38 = 3.8 ( you just move the decimal placement over by one.
1% * 6 = 6%
3.8 * 6 = 6%
3.8 * 6 = 22.8
6% =22.8
2.)
5% of 90
90/5 = 5%
90/5 = 18
18 = 5%
3.)
15/5 = 9/x
15/5 = 3
3 = 9/x
(nine divided by ? is three?....3!)
3 = 9/x(3)
3 = 9/3
3 = 3
x = 3
4.)
1/12 = .8/x
Multiply each side by ten.
1/12 * 10 = 5/6
.8/x * 10 = 8/x
5/6 = 8/x
Cross Multiply (switch the second numbers around)
5x = 6*8
Simplify
5x = 48
Divide both sides by 5 to get x by itself
5x/5 = x
48/5 = 9.6
*Whoo last problem lol*
5.)
A three liter bottle costs $2.97 what is the unit rate.
Well the unit is the object we're talking about, in this case a liter bottle.
The unit rate is how much it costs or is per unit.
Now that that's out of the way...
3L = 2.97
Like the other problems we want to get x by itself, so we'll divide by three)
3L/3 = L
2.97/3 = .99
L = .99
The Unit Rate is $0.99 per liter bottle.
Hope this helped :)