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3 years ago

Find the slope of the line that passes through (-6,1) and (4,-3)

1 answer:

7 0

$Slope\ formula=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}=\\\\\frac{-3-1}{4-(-6)}=\\\\\frac{-4}{10}=\\\\{\boxed{Slope=-\frac{2}{5}}$

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A car dealership purchased a car for $15,000. They mark up the price by 35%. What is the retail price of the vehicle

Snowcat [4.5K]

Answer: the answer is 20,250

Step-by-step explanation:

35% of 15,000 = 5,250

15,000+5250 = 20,250

4 0

3 years ago

Jon has to pay $7.50 admission for the skating rink and $1.50 per hour to rent rollerblades. Write an equation for the cost (y)

Nata [24]

Answer:

y = 7.50 + 1.50x

Step-by-step explanation:

The admission costs $7.50 and after x hours Jon has to pay $1.50*x. Then the cost y in dollars is

y = 7.50 + 1.50x where x is the number of hours.

4 0

3 years ago

Malik buys and sells car parts. He bought two tires for $45.00 each and later sold them for $65.00 each. He bought three rims fo

Aleksandr [31]

Malik earned $243.

When he bought the tires, he spent $90 ($45x2), and he sold them for $130 ($65x2). So his profit was $40 ($130-$90).

He bought three rims for $225 ($85x3) and sold them all for $378 ($126x3). His profit was $153 ($378-$225).

The headlight covers cost him $25 in total ($5x5). He sold them all and got $75 ($15x5). The profit was $50 ($75-$25).

The total amount of money made was $243 ($40+$153+$50).

:)

3 0

3 years ago

Read 2 more answers

consider the exponential function f(x)= 1/5(15x) what is the value of the growth factor of the function?

Rus_ich [418]

Answer:

Step-by-step explanation:

The general form of an exponential equation is ...

f(x) = (initial value)(growth factor)^x

That is, the "growth factor" is the base of the exponent. In your equation ...

f(x) = (1/5)(15^x)

the growth factor is 15.

3 0

3 years ago

Read 2 more answers

Find f'(x) and state the domain of f': f(x) = In (2x^2+1)

-Dominant- [34]

Answer:

$f'(x) = \frac{4x}{2x^2+1}$

Domain: All Real Numbers

General Formulas and Concepts:

Algebra I

Domain is the set of x-values that can be inputted into function f(x)

Calculus

The derivative of a constant is equal to 0

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Chain Rule: $\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)$

Derivative: $\frac{d}{dx} [ln(u)] = \frac{u'}{u}$

Step-by-step explanation:

Step 1: Define

f(x) = ln(2x² + 1)

Step 2: Differentiate

Derivative ln(u) [Chain Rule/Basic Power]: $f'(x) = \frac{1}{2x^2+1} \cdot 2 \cdot 2x^{2-1}$
Simplify: $f'(x) = \frac{1}{2x^2+1} \cdot 4x$
Multiply: $f'(x) = \frac{4x}{2x^2+1}$

Step 3: Domain

We know that we would have issues in the denominator when we have a rational expression. However, we can see that the denominator would never equal 0.

Therefore, our domain would be all real numbers.

We can also graph the differential function to analyze the domain.

5 0

3 years ago