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Serga [27]
3 years ago
13

Classify each as Linear or Exponential

Mathematics
1 answer:
Marysya12 [62]3 years ago
8 0

Answer:

1. Linear.

2. Exponential.

3. Exponential.

4. Linear.

Step-by-step explanation:            

We have been given some examples of functions and we are asked to classify which of the given functions are linear and exponential.

Since we know that values of a linear function changes at a constant rate, while rate of change of an exponential function is always proportional to the value of function.

Let us see our given function choices one by one.

1. Every year 39 million cars cross the Golden Gate Bridge in San Francisco.

We can see from our function that rate of change for this function is constant as every year same number of cars cross the Golden Gate Bridge, therefore, our function represented by first option is a linear function.

2. Every month a restaurant sells 2% more milkshakes to customers.

We can see from this function that rate of change is not constant as every next month the restaurant sells 2% more milkshakes than last month, therefore, the function represented in 2nd option is exponential function.

3. The number of visitors to the Eiffel Tower in Paris increases by 1.5% each year.  

We can see from this function that rate of change is not constant as every next year the number of visitors is 1.5% more than last year, therefore, the function represented in 3rd option is exponential function.

4. Each week you get $10 and add it to your savings account.

We can see from our function that rate of change for this function is constant as every next week same amount is added to savings account, therefore, our function represented by 4th option is a linear function.

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Which of the following statements are true about the graph. check all that apply?
oee [108]

Answer:

Statement 1

The graph has a minimum.

This statement is true. The graph has a minimum at x = -1 that is f(-1) = -9.

Statement 2

The graph has a maximum.

The statement is false. As there is no downward curve nor a rigid endpoint but the graph is continuous in upward direction.

Statement 3

The graph has zeros of -4 and 2.

The statement is true because f(-4) = 0 and f(2) = 0.

Statement 4

The vertex is located at (-1, -9).

The statement is true as apparent in the graph.

Statement 5

The solution of the quadratic function represented by the graph is (-1, -9).

The statement is false. Solution of the graph is at the point where f(x) becomes zero. At (-1,-9), f(x) = -9. Hence solution is not at point (-1,-9).

Statement 6

The y-intercept of the graph is (0, -8).

The statement is true. y-intercept of a graph is where the graph intercept the y-axis which means x = 0. As x = 0 at (0, -8), it is the y-intercept of the graph.

8 0
3 years ago
Find the degree of -5w cubed - 4w squared + 7w + 16
natka813 [3]

Answer:

Step-by-step explanation:

10

5 0
3 years ago
What is the answer to -4.3g=25.8
8090 [49]
G=-6
You just divide both sides by -4.3
7 0
3 years ago
How to integrate absolute value.
wolverine [178]

Answer:

I cant even see anything can you reupload your answer, please?

Step-by-step explanation:

6 0
2 years ago
What is 720° converted to radians? <br> a) 1/4<br> b) pi/4<br> c) 4/pi<br> d) 4pi
baherus [9]

4π radians

<h3>Further explanation</h3>

We provide an angle of 720° that will be instantly converted to radians.

Recognize these:

  • \boxed{ \ 1 \ revolution = 360 \ degrees = 2 \pi \ radians \ }
  • \boxed{ \ 0.5 \ revolutions = 180 \ degrees = \pi \ radians \ }

From the conversion previous we can produce the formula as follows:

  • \boxed{\boxed{ \ Radians = degrees \times \bigg( \frac{\pi }{180^0} \bigg) \ }}
  • \boxed{\boxed{ \ Degrees = radians \times \bigg( \frac{180^0}{\pi } \bigg) \ }}

We can state the following:

  • Degrees to radians, multiply by \frac{\pi }{180^0}
  • Radians to degrees, multiply by \frac{180^0}{\pi }

Given α = 720°. Let us convert this degree to radians.

\boxed{ \ \alpha = 720^0 \times \frac{\pi }{180^0} \ }

720° and 180° crossed out. They can be divided by 180°.

\boxed{ \ \alpha = 4 \times \pi \ }

Hence, \boxed{\boxed{ \ 720^0 = 4 \pi \ radians \ }}

- - - - - - -

<u>Another example:</u>

Convert \boxed{ \ \frac{4}{3} \pi \ radians \ } to degrees.

\alpha = \frac{4}{3} \pi \ radians \rightarrow \alpha = \frac{4}{3} \pi \times \frac{180^0}{\pi }

180° and 3 crossed out. Likewise with π.

Thus, \boxed{\boxed{ \ \frac{4}{3} \pi \ radians = 240^0 \ }}

<h3>Learn more  </h3>
  1. A triangle is rotated 90° about the origin brainly.com/question/2992432  
  2. The coordinates of the image of the point B after the triangle ABC is rotated 270° about the origin brainly.com/question/7437053  
  3. What is 270° converted to radians? brainly.com/question/3161884

Keywords: 720° converted to radians, degrees, quadrant, 4π, conversion, multiply by, pi, 180°, revolutions, the formula

6 0
3 years ago
Read 2 more answers
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