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1 year ago

Which of the following is a linear equation?

1 answer:

4 0

2x - 3y = 7 can be rewritten as y = 2/3x - 7/3, therefore, the equation that is a linear equation is: C. 2x - 3y = 7.

<h3>What is a Linear Equation?</h3>

A linear equation is expressed in the slope-intercept form as y = mx + b.

2x - 3y = 7, rewritten in slope-intercept form would be:

-3y = -2x + 7

y = -2x/-3 + 7/-3

y = 2/3x - 7/3

m = 2/3 and b = -7/3

Therefore, the equation that is a linear equation is: C. 2x - 3y = 7.

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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

2 years ago

Read 2 more answers

6.7 times (-2.3) Round to the nearest hundredth

lesantik [10]

6.7 x -2.3 = -15.41. The hundredth value is two spaces right of the decimal. To round to the nearest hundredth, you look at the number after it in the thousandth spot. if it is less than 4 then the hundredths remains the same, if it is more than 4, then you round up the number in the hundredths spot. There is no number in the thousandth spot (0) so the answer remains -15.41

5 0

2 years ago

I think of a number multiply it by 4 and subtract 3 i get 11

Ipatiy [6.2K]

Answer:

3.5

Step-by-step explanation:

Let the number be x.

x × 4 - 3 = 11

4x - 3 = 11

Add 3 on both sides.

4x - 3 + 3 = 11 + 3