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grin007 [14]
3 years ago
12

What is the average rate of change for the function f(x) = 3x2 – 5 on the interval –3 < x < -1​

Mathematics
1 answer:
meriva3 years ago
7 0

Answer:

Algebra Examples

Popular Problems Algebra Graph f(x)=3x^2-5

f

(

x

)

=

3

x

2

−

5

Find the properties of the given parabola.

Tap for more steps...

Direction: Opens Up

Vertex:  

(

0

,

−

5

)

Focus:  

(

0

,

−

59

12

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

−

61

12

Select a few  

x

values, and plug them into the equation to find the corresponding  

y

values. The  

x

values should be selected around the vertex.

Tap for more steps...

x

y

−

2

7

−

1

−

2

0

−

5

1

−

2

2

7

Graph the parabola using its properties and the selected points.

Direction: Opens Up

Vertex:  

(

0

,

−

5

)

Focus:  

(

0

,

−

59

12

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

−

61

12

x

y

−

2

7

−

1

−

2

0

−

5

1

−

2

2

7

image of graph

Step-by-step explanation:

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URGENT!
tia_tia [17]

Answer:

Step-by-step explanation:

We would apply the formula for exponential growth which is expressed as

A = P(1 + r)^t

Where

A represents the population after t years.

t represents the number of years.

P represents the initial population.

r represents rate of growth.

From the information given,

P = 5655

r = 1.4% = 1.4/100 = 0.14,

a) Therefore, the equation that estimates the population t years after 2010 is

A = 5655(1 + 0.14)^t

A = 5655(1.14)^t

b) in 2022, the number of years t = 2022 - 2010 = 12

Therefore,

A = 5655(1.14)^12

A = 27245

3 0
3 years ago
Which ratio is NOT equivalent to the other choices?
Virty [35]

Answer:

It's not possible to answer the question with the information provided, you will need to post the ratios in the problem.

Step-by-step explanation:

3 0
3 years ago
What is the midpoint between 2 and 10?
I am Lyosha [343]
The answer to this question would be 6
7 0
3 years ago
A train traveling 30 miles per hour how long will it take to travel 180 miles
kotykmax [81]

Answer:

6 hours

Step-by-step explanation:

180 divided by 30 = 6

7 0
4 years ago
For which pair of functions is the vertex of k(x)7 units below the vertex of f(x)?
kvv77 [185]

Answer: Option C

f(x) = x^2;\ k (x) = x ^ 2 -7

Step-by-step explanation:

Whenever we have a main function f(x) and we want to transform the graph of f(x) by moving it vertically then we apply the transformation:

k (x) = f (x) + b

If b> 0 then the graph of k(x) will be the graph of f(x) displaced vertically b units down.

If b> 0 then the graph of k(x) will be the graph of f(x) displaced vertically b units upwards.

In this case we have

f (x) = x ^ 2

We know that this function has its vertex in point (0,0).

Then, to move its vertex 7 units down we apply the transformation:

k (x) = f (x) - 7\\\\k (x) = x ^ 2 -7.

Then the function k(x) that will have its vertex 7 units below f(x) is

k (x) = x ^ 2 -7

3 0
3 years ago
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