We know that imaginary roots always come in pairs, so we already know 4 solutions
-2, 2, 4 + i and a pair of 4 + i
Since imaginary roots always come in pairs we wont have more than 2 imaginary roots, since its a fifth degree root and we can only have 5 roots
So for sure, we will have 3 real roots and 2 imaginary roots
Last option, f(x) has three real roots and two imaginary roots
The cost of next model car is $ 33136.
Step-by-step explanation:
Given,
The cost of current model car is $38000
The next model car is 12.8% less than the current model.
To find the cost of next model
Formula
If the price of object is $x and it decreases r% for next year, the value o the object for next year is = $ x×(100-r)%
So,
The cost of next model = $ 38000×(100-12.8)%
= $ 38000×87.2%
= $ 33136
Answer:
The relation
or y = seven-halves x is a direct variation that contains the ordered pair (2,7).
Step-by-step explanation:
Given:
The ordered pair = (2, 7).
Now, to get the direct variation:
As (2,7) lies on it.
So, direct variation means 


Now,




Now, to get the direct variation:


or y = seven-halves x.
Therefore, the relation
or y = seven-halves x is a direct variation that contains the ordered pair (2,7).
Answer:
Proportion states that the two fractions or ratios are equal.
Given the statement: A 36-foot-tall tree casts a 9-foot shadow.
To find the height of the nearby tree that cast a 14 foot shadow at the same time.
Let x be the height of the nearby tree.
By definition of proportion;

Substitute the given values we get;

Simplify:

Multiply both sides by 14 we get;
foot.
therefore, the height of the nearby tree is, 56 foot.