The given graphs model exponential functions are a, b and c.
Option a, b and c are the correct answers.
To choose the graph.
<h3>What is exponential function?</h3>
A relation of the form y = ax, with the independent variable x ranging over the entire real number line as the exponent of a positive number a.
Given that:
The three graphs in the second picture are the graphs of exponential functions. You can detect it from the L shaped graphs.
The very first graph represents a linear function. A straight line always represents a linear function. In a Linear function, the change in the values of y is constant throughout in relative to change in x values.
Therefore, the given graphs a, b and c are the correct answers.
Learn more about exponential function here:
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Answer:
y=-5/7(x+4)+7
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>Operation of Functions</u>
Given:
The sum of (f+g) (x) is:
We cannot operate with the expression inside the absolute bars, thus:
1/2 + 1/3 = (3*1)+(2*1) / (2*3) = (3+2)/6 = 5/6
tinha 5/6 de litro
para 1 litro faltam 4/6 de litro
para 3 litros faltam 2 litros e 4/6 de litro ou, simplificando:
4/6 = 2/3, logo, faltam 2 litros e 2/3 de litro.
Answer:
A) 150 m
B) 180.28 m
Step-by-step explanation:
A) In order to find the horizontal distance from the base of the cliff to the speed boat, use the Pythagorean theorem to calculate the length of the missing side.
We are told that one of the sides is 80 m and the hypotenuse is 170 m. Therefore,
- a² + b² = c²
- (80)² + b² = (170)²
- b² = 170² - 80²
- b² = 22500
- b = 150
The horizontal distance between the base of the cliff and the boat is 150 m.
B) Now, the side that was 80 m is now 100 m (includes the height that the helicopter is above Jumbo). The horizontal distance remains the same, 150 m, but the hypotenuse is different. Solving for the hypotenuse will give us the distance between the helicopter and the speed boat.
- (100)² + (150)² = c²
- 32500 = c²
- 180.28 = c
The distance between the helicopter and the speed boat is 180.28 m.