The correct next step Amy could take is to factor (x^2 - 16) on the left side of the equation to yield (x + 4)(x – 4)(x + 2) = 0.
The equation is given as:
The possible next steps are:
1. Expand the equation as follows
2. Express x^2 -16 as a difference of two squares as follows
However, the correct step in this case is to factor x^2 - 16 as a difference of two squares to give
This is so, because the question says Amy is trying to solve for variable x.
This step will ensure that she gets the possible values of x, unlike expanding the whole equation .
Hence, the correct next step is
Read more about equations at:
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Answer:
So about 0.76 (0.755)
Step-by-step explanation:
So first find the square root of -24
you;ll get abut 4.9
Now 8-4.9
3.1
3.1/4
0.755
Round
0.76
Answer:
x=22
Step-by-step explanation:
1. The best thing to do is to find out what 1% is. 235/100= 2.35
As you're looking for 27%, you then multiply 2.35*27= 63.45
As you're increasing it, you've then got to add this to the original amount.
235+63.45= 298.45
2. Again, find 1%. 24/100= 0.24
0.24*9= 2.16
24+2.16= 26.16
3. Find 1%. 1120/100= 11.2
As you're looking for 13.5%, you then multiply this by 13.5
11.2*13.5= 151.20
As you're subtracting, you then take this away from the original number.
1120-151.20= 968.80
4. This time, you can find 10%.
0.057/10= 0.0057
0.0057*5.5= 0.03135.
You've then got to subtract this as you're decreasing the number.
0.057-0.03135= 0.02565.
Sally's investment is now worth £585. (Find the 30% and add it on) and Susie's investment is now worth £585 (Find the 10% and subtract). They both have the same amount of money.
Hope this helps :)
