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babunello [35]
3 years ago
7

(X+h)^3 + (x+h)-(x^3+x)

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
8 0
\dfrac{(x+h)^3 + (x+h)-(x^3+x)}{h}=\\
\dfrac{x^3+3x^2h+3xh^2+h^3+x+h-x^3-x}{h}=\\
\dfrac{3x^2h+3xh^2+h^3+h}{h}=\\3x^2+3xh+h^2+1
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Cassi collects glass bottles for a deposit.She can earn $0.25 for five bottles.Last week she earns $12.75.How many bottles did C
garik1379 [7]

$0.25 = 5 bottles

Divide both sides by 5:

$0.05 = 1 bottle

Last week: $12.75

12.75 = 0.05b where b represents bottles

Divide all by 0.05 to get b alone:

255 = b

7 0
3 years ago
2(n-1)+ 4n= 2 (3n -1)
muminat

Answer:

Infinitely many solutions.

Step-by-step explanation:

2 (n - 1) + 4n = 2 (3n - 1) Let's simplify this to solve it.

2n - 2 + 4n = 6n - 2 Distribute 2(n-1) and 2(3n-1)

2n + 4n - 2 = 6n - 2 Rearrange the left side of the equation.

6n - 2 = 6n - 2 Add 2n + 4n.

-6n        -6n Subtract 6n from both sides.

-2 = -2

the answer is infinitely many solutions, meaning that n can be any real number.

6 0
3 years ago
Which equation is represented by the graph below?
gregori [183]

Answer:

y = e^x - 4

Step-by-step explanation:

The missing options are

y = ln x - 3

y = ln x - 4

y = e^x - 3

y = e^x - 4

The function is defined in quadrant 3 and increases exponentially, then it is not a logarithm.

f(x) crosses the y-axis at (0, -3). Replacing x = 0 the last option, we get:

y = e^0 - 4 = 1 - 4 = -3

6 0
3 years ago
A baby narwhal is born at 1 meter in length and grows / meter in length each year. Write an
Nana76 [90]

Answer:

what subject is this for

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Jim designed a rectangular garden with a width of 15 feet. The area of the garden is 300 square feet. What is the length of the
Elodia [21]

Answer:

Length of the rectangle = 20ft

Step-by-step explanation:

A rectangle is a quadrilateral that is a four sided polygon with two opposite sides parallel and equal.

Area of a rectangle = length x width

From question

Area = 300ft² , width = 15 ft,  length = ?

Input values.

Area = L x w

300 = L × 15

15L = 300

Divide both sides by 15

15L/15 = 300ft²/15ft

L = 20 ft

Length of the rectangle = 20ft

I hope this was helpful, please rate as brainliest

4 0
3 years ago
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