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Vesnalui [34]
3 years ago
7

the distance from NYC to Margate, New jersey on our route is 130 miles. Use the equation (d = 60t) to find t, the time needed to

drive the distance.
Mathematics
1 answer:
ipn [44]3 years ago
8 0

Answer:

2 1/6

Step-by-step explanation:

reduce 130/60 to its lowest form

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A new car loses value at a constant rate. You purchase a new car for $21,500. After 3 years the value of the car was $14,120. Wh
Airida [17]

Answer:

Step-by-step explanation:

If the car is depreciating at a constant rate, this indicates that the function is linear.  We can find the equation for the linear function by first finding the slope of the line.  Let's do that using the slope formula.  The coordinates we will use to do this are found in (year, value).  Our coordinates are (0, 21500) and (3, 14120).  The first coordinate says that before any time goes by at all, meaning when the car was brand new, its value was 21500.  The second coordinate says that after 3 years, the value of the car was 14120.

m=\frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

Filling in:

m=\frac{14120-21500}{3-0}=\frac{-7380}{3}=-2460

This is the slope.  In the context of our problem, it means that for each year that goes by, the car's value goes down $2460.  

Now we can use that slope and one of our coordinates to write the equation of the line.   We can choose either one of the coordinates to write our equation.  Let's use the first one, since it will be easier.  Rest assured that regardless of which one you choose, you will get the same equation. We fill in the slope-inteercept form of a line, y = mx + b, where y is the y value from the coordinate, m is the slope we solved for, x is the x value from the same coordinate, and b is the y-intercept.  We are solving for b.

21500 = -2460(0) + b and

21500 = 0 + b so

b = 21500.  Our equation, then, is

y = -2460x + 21500

If we want to find the value of the car, y, in 5 years, x, we plug in 5 for x and solve for y.

y = -2460(5) + 21500 and

y = -12300 + 21500 so

y = $9200

That means that in 5 year the car will be worth only $9200 when it is 5 years old.

5 0
3 years ago
El jardinero de un parque planta flores siguiendo cierto patrón. En la primera fila planta 4 flores, en la segunda 7 y así suces
nevsk [136]

Answer:

a) Para i = 4, hay 13 flores en la fila 4.

b) Para i = 7, hay 22 flores en la fila 7.

c) La fila 11 tiene 34 flores.

Step-by-step explanation:

De acuerdo con el enunciado, cada fila tiene tres flores más que la fila inmediatamente anterior, significando que se puede determinar el número de flores de cada fila mediante una serie aritmética:

n = 4+3\cdot (i-1), i \ge 1 (1)

Donde:

i - Índice de la fila de flores.

n - Número de flores del índice de la fila de flores.

a) Para i = 4, hay 13 flores en la fila 4.

b) Para i = 7, hay 22 flores en la fila 7.

c) Si n = 34, entonces el índice de la fila es:

i=1+\frac{n-4}{3}

i = 11

La fila 11 tiene 34 flores.

6 0
3 years ago
What is the improper fraction for 8 and 3/47​
erastovalidia [21]

Answer:

379/47

Step-by-step explanation:

1.  Simplify

2. Reduce fraction to lowest terms

1 is the greatest common divisor of 3 and 47. The result can't be further reduced.

3.  Convert mixed number to improper fraction

4 0
3 years ago
Read 2 more answers
If f(x)=3x^2 +x-2, then f(-2)=<br><br> *12<br> *-16<br> *8<br> *32<br> help!
uysha [10]
8 is the answer

Ignore this part, Brainly wants more than 20 characters
8 0
3 years ago
What is the equation of the function in slope-intercept form?
Rasek [7]
To write this equation, you need use the formula y=mx+b.

m represents the slope and b represents the y intercept.

The y intercept is the point where the line touches the y axis. In this case, the y-intercept is 1.

The slope is just rise over run from one coordinate to another. The slope is 2/-1 which could be simplified as -2. The slope just means that we are going up 2 and left 1 to get to a new coordinate.

The equation is y=-2x+1

Have a good day! :)
7 0
3 years ago
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