Answer:
98
Step-by-step explanation:
So we have the two functions:
And we want to find the value of r(g(4)).
To do so, first find the value of g(4):
Multiply:
Subtract:
Now, substitute this into r(g(4)):
And substitute this value into r(x):
Square:
Subtract:
Therefore:
Answer:
4
Step-by-step explanation:
4+3a=16
-4. -4
3a=12
/3. /3
a=4
0<4x + 8<12 BADDA-BING-BADDA-BOOM!!! :-)
Given:
The equation is
To find:
The number of roots and discriminant of the given equation.
Solution:
We have,
The highest degree of given equation is 2. So, the number of roots is also 2.
It can be written as
Here, 
.
Discriminant of the given equation is
Since discriminant is 
, which is greater than 0, therefore, the given equation has two distinct real roots.
The distance between the two planes will be 800 miles.
It should be noted that the total speed of the two planes will be the sum of their individual speeds. Also, the planes have 1 hour to meet each other.
From the information given, the distance between the planes is 200 miles after they flew for 45 minutes. Therefore, the remaining distance will be:
= 1 hour - 45 minutes = 15 minutes.
The distance between the planes will then be:
= 200/15 × 60
= 200 × 4
= 800 miles
Therefore, the distance between the two planes will be 800 miles.
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