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Elena-2011 [213]
3 years ago
12

What are the possible rational zeros of f(x) = x4 − 4x3 + 9x2 + 5x + 14?

Mathematics
1 answer:
Dovator [93]3 years ago
6 0

Answer:

±1, ±2, ±7, ±14

Step-by-step explanation:

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"a man drove 10 mi directly east from his home, made a left turn at an intersection, and then traveled 2 mi north to his place o
jasenka [17]

When you think of the situation as a whole, you may notice that the lines in the problem actually form a triangle. First, the man driving 10 miles east forms a bottom leg of the triangle 10 units long. When he drives the 2 miles north, he adds another leg of 2 units length. When the place of work is connected to the starting position through a line, a third and final line is drawn which creates the triangle.


So, how can we find the direct distance from his place of work to his home? We can use the Pythagorean Theorem (a^2 + b^2 = c^2, where a and b are the lengths of the legs of the triangle and c is the length of the hypotenuse). We know that the lengths of the legs are 10 and 2, which we can use in the formula, as shown below:

(10)^2 + (2)^2 = c^2


Now, we can solve this equation for c:

\sqrt{(10)^2 + (2)^2} = c

\sqrt{104} = c \approx 10.2


The distance would be √104 miles, or approximately 10.2 miles.

4 0
3 years ago
Which equation represents the given statement "Eight times a number minus 2 equals 33
Ivahew [28]

Answer:

8N-2=33+N

Step-by-step explanation:

4 0
3 years ago
The errors in predicting hurricane tracks are given in nautical miles. A statutory mile is 0.86898 nautical mile. Most people li
trasher [3.6K]

Answer:

The prediction error is calculated as the difference between the actual value and the predicted value of the hurricane tracks.

the actual and the predicted value can then be converted into stationary miles

Step-by-step explanation:

The prediction error is calculated as the difference between the actual value and the predicted value of the hurricane tracks.

Now,

both the values i.e the actual and the predicted value can then be converted into stationary miles using the conversion factor without changing the association with the year,

Hence,

it will do the same for the Prediction error.

5 0
3 years ago
The sum of 4 consecutive integers is 26. What is the least of 4 integers?
Veseljchak [2.6K]

Answer:

5

Step-by-step explanation:

it is 5 because 5 + 6 + 7 + 8 =26

and 5 is the least

4 0
3 years ago
Read 2 more answers
Square root of 15-x=-3+Square root of 2x+3<br><br> Solve for x
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&#10;\sqrt{15-x}=-3\sqrt{2x+3}\impliedby \textit{divide by -3}&#10;\\ \quad \\&#10;\cfrac{\sqrt{15-x}}{-3}=\sqrt{2x+3}\impliedby \textit{squares both sides}&#10;\\ \quad \\&#10;\left( \cfrac{\sqrt{15-x}}{-3} \right)^2=(\sqrt{2x+3})^2\implies &#10;\cfrac{(\sqrt{15-x})^2}{(-3)^2}=(\sqrt{2x+3})^2&#10;\\ \quad \\&#10;\cfrac{15-x}{9}=2x+3\impliedby \textit{multiply both sides by 9}&#10;\\ \quad \\&#10;15-x=18x+27\impliedby \textit{solve for "x"}
5 0
3 years ago
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