Answer:
m is 1
Step-by-step explanation:
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Answer:
x
2
+
7
x
−
4
=
0
Add
4
to both sides of the equation.
x
2
+
7
x
=
4
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of
b
.
(
b
2
)
2
=
(
7
2
)
2
Add the term to each side of the equation.
x
2
+
7
x
+
(
7
2
)
2
=
4
+
(
7
2
)
2
Simplify the equation.
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x
2
+
7
x
+
49
4
=
65
4
Factor the perfect trinomial square into
(
x
+
7
2
)
2
.
(
x
+
7
2
)
2
=
65
4
Solve the equation for
x
.
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x
=
±
√
65
2
−
7
2
The result can be shown in multiple forms.
Exact Form:
x
=
±
√
65
2
−
7
2
Decimal Form:
x
=
0.53112887
−
7.53112887
Step-by-step explanation:
Answer:
E. a = 2
Step-by-step explanation:
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The question is asking for what the value of a is for the given polynomial.
They gave you a factor to that polynomial, (x+a), and told you that a can be any real number beside 0.
You might remember that when you factor an equation, all you're doing is finding for what value of x will give you an answer of 0.
This is what you're doing now but in reverse. You're given x+a as a factor, so you know that x=-a will make the function equal 0.
So plug x=-a into the function and solve for a. You'd find that you get a=0 and a=2; however, the question stated that a≠0, so the only answer left is a=2.
Answer:
First year = 2260
Second year = 2140
Total year = 2,400