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.
9514 1404 393
Answer:
$6,106.87
Step-by-step explanation:
The total of percentage deductions is ...
state tax + city tax + social security + medicare
= 3.5% +2.5% +6.2% +1.45% = 13.65%
Then Ryleigh's take-home pay is ...
gross(1 -13.65%) -112 = 5161.28
gross = (5161.28 +112)/0.8635 = 6106.87
Ryleigh's monthly gross is $6,106.87.
Answer:
ay bro ay ayay yayayayayyayayay
Step-by-step explanation:y
There should be 3 more girls than boys in the class (9 boys, 12 girls)
Equivalent Fractions for 9/25:
9/25, 18/50, 27/75, 36/100, 45/125, 54/150, 63/175, 72/200, 81/225, 90/250, and so on ...
