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:
it's b
Step-by-step explanation:
you use the one that says °C and just read the number. That's all you would need to do for this question. Hope this helps!
There is a 1/2 chance of landing heads.
There is a 3/6 or 1/2 chance of landing on an even number (2,4, or 6)
1/2*1/2= 1/4
The probability of landing heads and an even number is 1/4.
This is a downward facing parabola, so its range comes in the form
where m is the y coordinate of the vertex of the parabola.
We can find the x coordinate of the vertex using
And if we plug -1 in the equation we get the y coordinate of the vertex:
So, the range is the interval
Answer:
A
Step-by-step explanation:
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