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Vadim26 [7]
3 years ago
13

In 15 minutes Frankita created 15 drawings. In 30 minutes she created 17 drawings. In 45 minutes she created 20 drawings. In 60

minutes she created 24 drawings. If Frankita continues making drawings in the same pattern, how many total drawings will Frankita have created at the end of 90 minutes?
Mathematics
1 answer:
Nadusha1986 [10]3 years ago
8 0

Answer:

Frankita will create 29 drawings at the end of 75 minutes.

Step-by-step explanation:

hope this helps :)

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Find a cubic function f(x) = ax3 + bx2 + cx + d that has a local maximum value of 3 at x = −3 and a local minimum value of 0 at
Amiraneli [1.4K]

Answer:

The cubic function is f(x) = (27/32)·x  - 3/32·x³ - -9/32·x² - 9/32

Step-by-step explanation:

The given function is f(x) = a·x³ + b·x² + c·x + d

By differentiation, we have;

3·a·x² + 2·b·x + c = 0

3·a·(-3)² + 2·b·(-3) + c = 0

3·a·9 - 6·b + c = 0

27·a - 6·b + c = 0

3·a·(1)² + 2·b·(1) + c = 0

3·a + 2·b + c = 0

a·(-3)³ + b·(-3)² + c·(-3) + d = -3

-27·a + 9·b - 3·c + d = -3...(1)

a + b + c + d = 0...(2)

Subtracting equation (1) from equation (2) gives;

28·a - 8·b + 4·c = 3

Therefore, we have;

27·a - 6·b + c = 0

3·a + 2·b + c = 0

28·a - 8·b + 4·c = 0

Solving the system of equations using an Wolfram Alpha gives;

a = -3/32, b = -9/32, c = 27/32 from which we have;

a + b + c + d = 0 3 × (-3/32) + 2 × (-9/32) + (27/32) + d = 0

d = 0 - (0 3 × (-3/32) + 2 × (-9/32) + (27/32)) = -9/32

The cubic function is therefore f(x) = (-3/32)·x³ + (-9/32)·x² + (27/32)·x + (-9/32).

4 0
3 years ago
En una camioneta se pueden transportar 28.5 kilogramos. ¿ Cuántas camionetas se necesitan para transportar 484.5 Kg?
r-ruslan [8.4K]

Answer:

The number of trucks required is 17.

Step-by-step explanation:

28.5 kilograms can be transported in a van. How many trucks are needed to transport 484.5 Kg?

For the transportation of 28.5 kg, one truck is required.

Total mass = 484.5 kg

The number of trucks required is

n = total mass/ mass of one

n=\frac{484.5}{28.5}\\\\n = 17

3 0
3 years ago
—330 + 450 need help !!!!!!!
natta225 [31]
120
hope that helps
7 0
3 years ago
Read 2 more answers
Question:
pishuonlain [190]
There is no rectangle shown.

To find area, you multiply the rectangle’s length by its width. If it comes out to be a decimal and you need to round it by the nearest tenth, then you round it to the right of the decimal point.

Ex: 2.34 -> 2.3

Then, to find how much square inches are equal to square ft, you divide the square inches by 12, I believe.
8 0
3 years ago
I need help drawing the graph of -2x+2y=-4
True [87]
Arrange in slope intercept form.....
2y = 2x -4
y = x - 2

So, the line would go up......crossing the y axis at -2.........hope this helps

4 0
3 years ago
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