Exponential function f (x) = a^x
The only difference between the two following expressions is
their exponent though it’s equal. If you would analyze carefully, the two
expressions are equal since 2/4 is just equal to ½. The two expressions are
equal in value so the presentation of the exponent is their only difference.
Answer:
- smallest: 18°
- largest: 90°
- middle: 72°
Step-by-step explanation:
We can solve this using the relationship between the angles together with the angle sum theorem. Let s represent the measure of the smallest angle. Then the middle angle is 4s, and the largest angle is (4s +s). The angle sum theorem tells us the sum of angles in a triangle is 180°.
smallest + middle + largest = 180°
s +(4s) +(4s +s) = 180°
10s = 180° . . . . . . . . . . . simplify
s = 18° . . . . . . . . . divide by 10
4s = 72° . . . . . . find the middle angle
4s +s = 72° +18° = 90° . . . . . find the largest angle
The smallest, largest, and middle angles are 18°, 90°, and 72°, respectively.
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Answer:
domain: (-4, 9)
Step-by-step explanation:
The graph is defined for all points between -4 and 9, but not for those two points. In interval notation, the domain is (-4, 9).
Answer:
6 Laps
Step-by-step explanation:
3 laps + 6 miles = 5 laps + 2 miles.
Subtract miles over. 3 laps + 4 miles = 5 laps.
Subtract laps over. 4 miles = 2 laps.
Simplify. 2 miles = 1 lap.
Plug it in to one of the equations. 5 laps + 2 miles = Your answer.
2 miles = 1 lap. 5 laps + 1 lap = 6 laps.
Your answer is 6 LAPS.
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