Answer:
Step-by-step explanation:
Let
Subbing in:
a = 9, b = -2, c = -7
The product of a and c is the aboslute value of -63, so a*c = 63. We need 2 factors of 63 that will add to give us -2. The factors of 63 are {1, 63}, (3, 21}, {7, 9}. It looks like the combination of -9 and +7 will work because -9 + 7 = -2. Plug in accordingly:
Group together in groups of 2:
Now factor out what's common within each set of parenthesis:
We know this combination "works" because the terms inside the parenthesis are identical. We can now factor those out and what's left goes together in another set of parenthesis:
Remember that
so we sub back in and continue to factor. This was originally a fourth degree polynomial; that means we have 4 solutions.
The first two solutions are found withing the first set of parenthesis and the second two are found in other set of parenthesis. Factoring gives us that x = 1 and -1. The other set is a bit more tricky. If
then
and
You cannot take the square root of a negative number without allowing for the imaginary component, i, so we do that:
±
which will simplify down to
±
Those are the 4 solutions to the quartic equation.
Answer:
1/16
Step-by-step explanation:
2^-4 = 1/2*2*2*2 -> 1/2⁴ -> 1/16
D= 3 2/5=3.4m
T= 7/8 = 0.875h
Use v = d / t. V= 3.4/0.875
V=3.866 mph
The answer is B
This is because you always rotate clockwise when doing rotations, and if you check the top of the A shape you see it is two units wide so an expansion of 2 (2x2) would be the correct option
Answer:
No solutions
Step-by-step explanation:
5x - 4 ≥ 12
<em>Isolate the Variable</em>
5x ≥ 16
<em>Divide both sides by 5</em>
x ≥ 3.2
AND
12x + 5 ≤ -4
<em>Isolate the Variable</em>
12x ≤ -9
<em>Divide both sides by 12</em>
x ≤ -.75
When you say and, you find the area that is covered by both inequalities, but because the inequalities solution sets don't overlap, there are no solutions.