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Lubov Fominskaja [6]
3 years ago
9

Identify the function as exponential growth or decay. y = a * (8/5) ^ 0

Mathematics
1 answer:
sukhopar [10]3 years ago
4 0

Answer:

We conclude that the function represents exponential growth.

Step-by-step explanation:

Given the function

y=a\left(\frac{8}{5}\right)^t

As the function is of the form

  • y=abˣ

and base 'b' > 1

We know that when the base 'b' of the exponential function > 1, meaning those numbers will get bigger, we call it exponential growth.

As b=8/5 is bigger than 1.

i.e. 8/5 > 1

Thus, we conclude that the function represents exponential growth.

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Slope intercept form of y-3=2/3(x+5)
Blizzard [7]

Answer:

It's already in slope intercept form

slope = 2/3

Intercept = (-5,3)

Step-by-step explanation:

3 0
2 years ago
Which of these tables represents a non-linear function?
olchik [2.2K]

Answer:

we conclude that the table ''A 2-column table with 4 rows. Column 1 is labeled x with entries 17, 18, 19, 20. Column 2 is labeled y with entries 16, 17, 19, 20'' represents a non-linear function.

Step-by-step explanation:

The nature of whether a function can be linear or non-linear, we must check how the x and y values of the table change. If the first difference between y-values remains the same (constant first difference), then the table will represent a linear function, otherwise not.

Given the x and y entries of the first table:

x            y

17           20

18           19

19           18

20          17

From the table, it is clear that as x constantly increases by 1 unit, the y-values are also changing constantly by 1 unit. The first difference between y-values remains the same.

i.e. 19-20=-1, 18-19=-1, 17-18=-1

Thus, this table represents a linear function.

Given the x and y entries of the second table:

x            y

17          -16

18          -17

19           -18

20          -19

From the table, it is clear that as x constantly increases by 1 unit, the y-values are also changing constantly by 1 unit. The first difference between y-values remains the same.

i.e. -17-(-16)=-1, -18-(-17)=-1, -19-(-18)=-1

Thus, this table represents a linear function.

Given the x and y entries of the second table:

x            y

17          16

18          17

19           19

20          20

From the table, it is clear that as x constantly increases by 1 unit, but the y-values are not changing constantly. The first difference between y-values does not remain the same.

i.e. 17- 16 = 1, 19 - 17 = 2, 20 - 19 = 1

Thus, this table does not represent a linear function. Hence, it is a non-linear function.

Given the x and y entries of the second table:

x            y

17          -20

18          -19

19           -18

20          -17

From the table, it is clear that as x constantly increases by 1 unit, the y-values are also changing constantly by 1 unit. The first difference between y-values remains the same.

i.e. -19-(-20)=1, -18-(-19)=1, -17-(-18)=1

Thus, this table represents a linear function.

Therefore, we conclude that the table ''A 2-column table with 4 rows. Column 1 is labeled x with entries 17, 18, 19, 20. Column 2 is labeled y with entries 16, 17, 19, 20'' represents a non-linear function.

4 0
2 years ago
What is the equation of the parabola?
irina1246 [14]

Because the parabola opens down and the vertex is at (0, 5), we conclude that the correct option is:

y  = -(1/8)*x² + 5.

<h3>Which is the equation of the parabola?</h3>

The relevant information is that we have the vertex at (0, 5), and that the parabola opens downwards.

Remember that the parabola only opens downwards if the leading coefficient is negative. Then we can discard the two middle options.

Now, because the parabola has the point (0, 5), we know that when we evaluate the parabola in x = 0, we should get y = 5.

Then the constant term must be 5.

So the correct option is the first one:

y  = -(1/8)*x² + 5.

If you want to learn more about parabolas:

brainly.com/question/4061870

#SPJ1

3 0
1 year ago
SA scuba diver reached a depth of -14 feet (below
shtirl [24]

Answer:

+2 ft

Step-by-step explanation:

He descends -12 feet (negative descend is an ascend) so he ascends 12 feet

-14 + 12 = -2 so he needs to travel 2ft

3 0
3 years ago
Read 2 more answers
I need help <br> Please help ASAP
soldi70 [24.7K]

Answer:

The volume of the solid is  1,021m^3

Step-by-step explanation:

1. Cylinder

For find the volume of a cylinder we use the next formula:

V_{cylinder} = \pi h r^2 = \pi \cdot 9m\cdot (5m)^2 \approx 706.86m^3

Then the volume of the cylinder is equal to 706.86m^3

2. Cones

For find the volume of a cone we use the next formula:

V_{cone} = \pi \frac{h}{3} r^2 = \pi \cdot \frac{6m}{3} \cdot (5m)^2 \approx 157.08m^3

However there are two cones so we have to multiply the volume of one cone for two and we get the total volume for the cones which is 314.16m^3

3. Sum of the volumes

Finally we sum the volumes of the cylinder and the cones for get the final result

V_{cylinder} + V_{cones} = 706.86m^3 + 314.16m^3 \approx 1021m^3

So approximating the result is 1021m^3

5 0
2 years ago
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