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Colt1911 [192]
3 years ago
9

Translate the verbal expression into an equation.

Mathematics
1 answer:
marin [14]3 years ago
8 0

Answer:

D. 4x = 20

Step-by-step explanation:

Four times a number is 20

Let x be the number

4x = 20

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Find the derivative of the function by using the Product Rule. Simplify your answer. f(x) = (x - 3)(x + 3)
Morgarella [4.7K]

Answer:

f'(x)=2x

Step-by-step explanation:

Given : Function f(x)=(x-3)(x+3)

To find : The derivative of the function by using the Product Rule ?

Solution :

The product rule of derivative is

\frac{d}{dx}(u\cdot v)=uv'+vu'

Here, u=x-3 and v=x+3

\frac{d}{dx}((x-3)\cdot (x+3))=(x-3)\frac{d}{dx}(x+3)+(x+3)\frac{d}{dx}(x-3)

\frac{d}{dx}((x-3)\cdot (x+3))=(x-3)1+(x+3)1

\frac{d}{dx}((x-3)\cdot (x+3))=x-3+x+3

\frac{d}{dx}((x-3)\cdot (x+3))=2x

Therefore, f'(x)=2x

3 0
3 years ago
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In the diagram below, BC−→− bisects ∠FBE
nirvana33 [79]

Answer:

<em>m∠EBC = 34° </em>

Step-by-step explanation:

m∠DBC = m∠DBE + m∠ EBC

m∠DBC - m∠DBE = m∠EBC

(12x - 3)° - (5x + 12)° = (3x + 13)°

12x - 5x - 3 - 12 = 3x + 13

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x = 7

<em>m∠EBC </em>= (3(7) + 13)° <em>= 34° </em>

7 0
2 years ago
You buy a pair of shoes for $40, at check out you are also charged 8% sales tax. What is the total cost of your shoes
satela [25.4K]

Answer:

43.20

Step-by-step explanation:

I hope this is right !

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A, B, D

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What is the slope of the line in the graph?
Triss [41]

Answer:

B

Step-by-step explanation:

The slope of a line is written as a fraction of the vertical distance to the horizontal distance. The line drops down from (0,1) to (4,-2). This is a vertical distance of -3 and a horizontal distance of 4. The slope if the fraction -3/4.

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