Answer:
Step-by-step explanation:
You can use the foil technique (first outer inner last)
(3x - 1)(-x + 4) = (3x · (-x)) + (3x · 4) + ((-1) · (-x)) + ((-1) · 4)
=
=
What is the answer to (4-i)(6-5i) ?
1 answer:
For this we must use foil and multiply
4*6
4*-5i
-i*6
-i*-5i
to get (respectively to above)
24
-20i
-6i
5i^2
combine all of those to get:
24-26i+5i^2
now, i squared is equal to -1, so we can simplify the above even further:
24-26i+5(-1)
24-26i-5
19-26i
Now, that would be your final answer. But if you want it in radical form you would get this: (just so you know, i is the square root of -1, or an imaginary number)
4*6
4*-5i
-i*6
-i*-5i
to get (respectively to above)
24
-20i
-6i
5i^2
combine all of those to get:
24-26i+5i^2
now, i squared is equal to -1, so we can simplify the above even further:
24-26i+5(-1)
24-26i-5
19-26i
Now, that would be your final answer. But if you want it in radical form you would get this: (just so you know, i is the square root of -1, or an imaginary number)
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Answer:
The margin of error is of 0.038 = 3.8%.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of
, 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:
90% confidence level
So , z is the value of Z that has a pvalue of
, so
.
The margin of error is:
The margin of error is of 0.038 = 3.8%.
<span>a. Write and graph a system of linear inequalities
Here's the equation of a system of linear inequalities.
x >= 80
2x + 2y <= 300 -----> y <= -x + 150
For the graph, it is attached as image.
</span>b. Write two possible solutions:<span>These are the two possible solutions to the given equation of linear inequality.
90 feet by 20 feet
110 feet by 30 feet.</span>
Here's the equation of a system of linear inequalities.
x >= 80
2x + 2y <= 300 -----> y <= -x + 150
For the graph, it is attached as image.
</span>b. Write two possible solutions:<span>These are the two possible solutions to the given equation of linear inequality.
90 feet by 20 feet
110 feet by 30 feet.</span>