You need to include an image so I can help
Answer:
One less zebra
Step-by-step explanation:
T z l
0 200 220
1 160 175 (subtract 40 from 200 and 45 from 220)
2 120 130
3 80 85
4 40 = 40 <===== lion has zebra lunch before the river is reached
Zdistance = 200 - 40s
Ldistance = 220 - 45 s where 's' is seconds
The first 3 are examples of the difference of 2 squares so you use the identity
a^2 - b^2 = (a + b)(a - b)
x^2 - 49 = 0
so (x + 7)(x - 7) = 0
so either x + 7 = 0 or x - 7 = 0
giving x = -7 and 7.
Number 7 reduces to 3x^2 =12, x^2 = 4 so x = +/- 2
Number 8 take out GCf (d) to give
d(d - 2) = 0 so d = 0 , 2
9 and 10 are more difficult to factor
you use the 'ac' method Google it to get more details
2x^2 - 5x + 2
multiply first coefficient by the constant at the end
that is 2 * 2 = 4
Now we want 2 numbers which when multiplied give + 4 and when added give - 5:- -1 and -4 seem promising so we write the equation as:-
2x^2 - 4x - x + 2 = 0
now factor by grouping
2x(x - 2) - 1(x - 2) = 0
(x - 2) is common so
(2x - 1)(x - 2) = 0
and 2x - 1 = 0 or x - 2 = 0 and now you can find x.
The last example is solved in the same way.
Answer:
2.38 lb bag = 4.99/lb 5.08 lb bag = 5.21/lb The 2.38 is the better buy
Step-by-step explanation:
11.88/2.38 = 4.99
26.47/5.08 = 5.21
4.99 is cheaper than 5.21 so the 2.38 lb bag is better buy
Absolute value equations have more than one solution because when the answer is in abs. value, it is positive, so there could be a negative answer and it would still be positive. For example |-5|=5 and |5|=5 as well.
4+|2x|=-1 would have no solution because you cannot have the equation equal a negative since the 2x is in absolute value.
