Answer:
- x = 0 or 1
- x = ±i/4
- x = -5 (twice)
Step-by-step explanation:
Factoring is aided by having the equations in standard form. The first step in each case is to put the equations in that form. The zero product property tells you that a product is zero when a factor is zero. The solutions are the values of x that make the factors zero.
1. x^2 -x = 0
x(x -1) = 0 . . . . . x = 0 or 1
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2. 16x^2 +1 = 0
This is the "difference of squares" ...
(4x)^2 - (i)^2 = 0
(4x -i)(4x +i) = 0 . . . . . x = -i/4 or i/4 (zeros are complex)
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3. x^2 +10x +25 = 0
(x +5)(x +5) = 0 . . . . . x = -5 with multiplicity 2
Answer:
17
Step-by-step explanation:
Add 8 and 9 together .
Hello from MrBillDoesMath!
Answer:
40
Discussion:
4+4+4+4+4+4+4+4+4+4 (*)
There are 10 4's in (*) so
(*) = 4 * 10 = 40
Thank you,
MrB
Answer:
14.40646471 =x
Step-by-step explanation:
tan (42) = x/16
Multiply each side by 16
16 tan 42 = x/16 *16
16 tan 42 = x
16 * .900404044 = x
14.40646471 =x
Answer:
0.071 to 0.129
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence interval 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
For this problem, we have that:
In a sample of 400 voters, 360 indicated they favor the incumbent governor. This means that 400-360 = 40 do not favor the incumbent governor. So 
95% confidence interval
So 
, z is the value of Z that has a pvalue of 
, so 
.
The lower limit of this interval is:
The upper limit of this interval is:
The correct answer is:
0.071 to 0.129
