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3 years ago

The equation that has a graph with a slope of -5/2 and passes through (6,-6)

Mathematics

1 answer:

timama [110]3 years ago

5 0

The answer is y=-5/2x+9 and the picture includes the equation and points. Hopefully, this helps.

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An old road was 3.95 miles long. After a renovation it was 3.81 times as long. How long was the road after the renovation?

guapka [62]

3.95 × 3.81 = 15.0485

The road was 15.0485 miles long after the renovation.

Hope this helps!

4 0

3 years ago

How do you find vertical, horizontal and oblique asymptotes for f(x) = (5x-15 )/ (2x 14)?

Andrei [34K]

For vertical asymptotes, find the values which make the function indetermine in this case x=-7,so this is the only vertical asymptote.
For horizontal asymptotes, find the limit when x tends to infinity:
=(5x/x-15/x)/(2x/x+14/x) = 5/2, this is the horizontal asymptote y=5/2
For obliques, you have to meet the degree of the numerator is exactly a greater degree than the denominator, in this case they are the same degree so no oblique asymptote.

6 0

3 years ago

The general equation for depreciation is given by y=a(1-r)^t where y=current value.

Jlenok [28]

With the help of the given equation, we know that the automobile is worth $12528.15 after four years.

<h3>What are equations?</h3>

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.
a formula that expresses the connection between two expressions on each side of a sign.
Typically, it has a single variable and an equal sign.
Like this: 2x - 4 Equals 2.
In the above example, the variable x exists.

So, the equation of depreciation: y = A(1 - r)∧t

The current value is y.

A is the initial cost.

r is the depreciation rate.

t is the time in years, and

In four years, we must ascertain the present value.

Now,

y = $24000(1 - 0.15)⁴

y = 24000(0.85)⁴

y = 24000 × 0.52200625

y = 12528.15

Therefore, with the help of the given equation, we know that the automobile is worth $12528.15 after four years.

Know more about equations here:

brainly.com/question/28937794

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Complete question:
The general equation for depreciation is given by y = A(1 – r)t, where y = current value, A = original cost, r = rate of depreciation, and t = time, in years. The original value of a car is $24,000. It depreciates 15% annually. What is its value in 4 years? $

8 0

1 year ago

What value is the 9's in 39,990?

Reptile [31]

Thousands of your talking about 9,99O but if it's only one nine it's either tens hundreds or thousand

8 0

3 years ago

Tom works at an aquarium shop on Saturdays. One Saturday, when Tom gets to work, he is asked to clean a 180-gallon reef tank. Hi

vlada-n [284]

Please find the question attached below.

The equation that models the decrease in water (in gallons) of the fish tank over time (in hours) is y = - 20x + 180.

We know that a linear equation with one variable is one that contains just one variable.

Here we have to find the appropriate equation that models the given chart.

For option A. :

y = - 40x + 140

At x = 2, y = - 40*2 + 140 = - 80 + 140 = 60 =/ 140

So this option is incorrect.

For option B.:

y = - 40x + 180

At x = 2, y = - 40*2 + 180 = - 80 + 180 = 100 =/ 140

So this option is incorrect.

For option C.:

y = - 20x + 140

At x = 2, y = - 20*2 + 140 = - 40 + 140 = 100 =/ 140

So this option is incorrect.

For option D.:

y = - 20x + 180

At x = 2, y = - 20*2 + 180 = - 40 + 180 = 140

So this option is correct.

Therefore, the equation that models the decrease in water (in gallons) of the fish tank over time (in hours) is y = - 20x + 180. So, the last option is correct.

Learn more about linear equations here -

brainly.com/question/26950036

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8 0

2 years ago