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Anarel [89]
3 years ago
7

Find the area of a rectangle with a length of 10 inches and width of 4 inches.

Mathematics
2 answers:
Pani-rosa [81]3 years ago
7 0
40 inches^2 is correct answer
kipiarov [429]3 years ago
3 0
10 x 4 = 40 inches squared
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Answer the Following problem about derivatives.
White raven [17]

The derivatives for the given functions are as follows:

a) -3.

b) -1.

c) 1.

d) 0.

<h3>What is the product rule for a derivative?</h3>

The product rule for a derivative is given as follows:

[f(x)g(x)]' = f'(x)g(x) + g'(x)f(x).

Hence, at x = 6, we have that:

[f(x)g(x)]'(6) = f'(6)g(6) + g'(6)f(6).

Replacing the values given in this problem, we have that the answer for item a is:

[f(x)g(x)]'(6) = f'(6)g(6) + g'(6)f(6) = 2(-1) - 1(1) = -2 - 1 = -3.

<h3>What is the quotient rule for a derivative?</h3>

The quotient rule for a derivative is given as follows:

\left(\frac{f(x)}{g(x)}\right)^{\prime} = \frac{f^{\prime}(x)g(x) - g^{\prime}(x)f(x)}{g(x)^2}

Hence, at x = 6, we have that:

\left(\frac{f(x)}{g(x)}\right)^{\prime}(6) = \frac{f^{\prime}(6)g(6) - g^{\prime}(6)f(6)}{g(6)^2}

Then the derivative in item b is:

[2(-1) - (-1)(1)]/[(-1)^2] = -1/1 = -1.

<h3>What is the derivative for the square root of a function?</h3>

Applying the chain rule, the derivative is given by:

(\sqrt{f(x)})^{\prime} = \frac{1}{2\sqrt{f(x)}}f^{\prime}(x)

Replacing at x = 6, the derivative for item c is given by:

1/2 x 2 = 1.

<h3>What is the derivative of a constant?</h3>

The derivative of a constant is of 0. In item d, the multiplication of f(6) by g'(6) results in a constant, hence the derivative is of 0.

More can be learned about derivative rules at brainly.com/question/25081524

#SPJ1

4 0
2 years ago
Use intercepts to graph the line described by the equation 5x − 5y = 10.
Paraphin [41]
I hope this is the correct answer, here u go !

8 0
3 years ago
A vendor at the State Fair has learned that, by pricing his deep fried bananas on a stick at $1.00, sales will reach 82 bananas
Tasya [4]

Answer:

Y=-40x+122

Step-by-step explanation:

hello

Due to the nature of the data, it is most convenient to model this problem as a linear function.

To solve this problem we must use the equation that defines a line, then start assigning the corresponding values

y1=82bananas per day

X1=1 dolar

y2=52bananas per day

x2=1.75dolar

line ecuation

y − y 1 = m(x − x 1 )

where

m=slope=\frac{y2-y1}{x2-x1} =\frac{52-82}{1.75-1}=-40

solving:

Y-82=-40(x-1)

Y=-40x+40+82

Y=-40x+122

let's try the result!

Price =1dolar

Y=-40(1)+122=82bananas per day

Price=1.75dolar

Y=-40(1.75)+122=52bananas per day

7 0
3 years ago
Find x- and y-intercepts. Write ordered pairs representing the points where the line crosses the axes. y−3x=18
Radda [10]

Answer:

see explanation

Step-by-step explanation:

Given

y - 3x = 18

To find the y- intercept let x = 0 in the equation and solve for y

y - 3(0) = 18

y - 0 = 18

y = 18 ⇒ (0,18 ) ← y - intercept

To find the x- intercept let y = 0 in the equation and solve for x

0 - 3x = 18

- 3x = 18  ( divide both sides by - 3 )

x = - 6 ⇒ (- 6, 0 ) ← x- intercept

8 0
3 years ago
What is 5.5 : 6.5 as a simplified fraction?
Nat2105 [25]

Answer:

5.5 = 5.5 = 55 1/2

6.5 = 6.5 = 66 1/2

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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