Answer:
(7x-1)(x-3)
Step-by-step explanation:
7x^2 - 22x + 3
The factors have to add to -22, but multiply to equal 3. But since the "a" value has a number on it, you have to use it too.
(7x +/- [n1]) ( x +/- [n2]) = 7x^2 - 22x + 3
Since the two numbers multiply to a positive value, they have to have the same sign. (7x-1) (x-3) works to produce the expression when it's foiled.
<u>Answer:</u>
The correct answer option is D. D. $1,407,200.
<u>Step-by-step explanation:</u>
We know that Achbar Corporation has earned $175,900 after the deduction of all the taxes and the return on equity calculated by the accountant is 12.5%.
So assuming the Achbar Corporation's stockholders' equity to be x, we can find the value of x as shown below:
× x = 
"Percent" or "%" means "out of 100" or "per 100", therefore 12.5% can be written as:
× x = 

Therefore, Achbar Corporation's stockholders' equity to the nearest dollar is $1407200.
The answer is C. 120
The solution can be derived by the formula 6P3.
6P3 = 6 * 5 * 4 = 120
120 different combinations can be made with the condition.
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Answer:
The vertex of this parabola,
, can be found by completing the square.
Step-by-step explanation:
The goal is to express this parabola in its vertex form:
,
where
,
, and
are constants. Once these three constants were found, it can be concluded that the vertex of this parabola is at
.
The vertex form can be expanded to obtain:
.
Compare that expression with the given equation of this parabola. The constant term, the coefficient for
, and the coefficient for
should all match accordingly. That is:
.
The first equation implies that
is equal to
. Hence, replace the "
" in the second equation with
to eliminate
:
.
.
Similarly, replace the "
" and the "
" in the third equation with
and
, respectively:
.
.
Therefore,
would be equivalent to
. The vertex of this parabola would thus be:
.
If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up (+1).
If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down (no change).