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3 years ago

A bird leaves its nest and travels 20 miles per hour downwind for x hours. On the return trip, the bird travels 4 miles per hour

slower and has 6 miles left after x hours.

Mathematics

1 answer:

Lynna [10]3 years ago

7 0

$x = d/20
x = (d - 6)/(16)
$

$d/20 = (d - 6)/16$

<span> $20d - 120 = 16d
-120 = -4d
30 = d$

$60 miles.$ </span>

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2 years ago

The function f(x) = (x - 4)(x - 2) is shown.

agasfer [191]

Answer:

all real numbers greater than or equal to -1

Step-by-step explanation:

In order to solve this problem we need to know the vertex and the direction its pointing.

First we expand,

x^2-6x+8

To find the x value of the vertex we use this formula (-b/2a).

-(-6)/2(1) = 3

Now we plug 3 in the equation to get the y value,

(3)^2 - 6(3) + 8 = 9 - 18 + 8 = -1

The vertex is (3,-1)

We know the graph points up because x^2 is positive

The vertex is the lowest point, so we now know that -1 is the starting range and if the graph is pointing up, that means all values greater than -1.

This leads to our answer all real numbers greater than or equal to -1.

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3 years ago

Read the problem to choose the correct method, then solve. A farmer buys a tractor for $50,000. If the tractor depreciates 10% p

OlgaM077 [116]

Answer:

The correct option is, Exponential Decay, $23,914.85.

Step-by-step explanation:

A farmer buys a tractor for $50,000.

It is provided that the the tractor depreciates 10% per year.

The exponential function for decay is:

$y=a\cdot (1-r\%)^{t}$

Here,

a = initial value

r = decay rate

t = time

Compute the value of the tractor in 7 years as follows:

$y=a\cdot (1-r\%)^{t}$

$=50000\times (1-0.10)^{7}\\\\=50000\times 0.4782969\\\\=23914.845\\\\\approx 23914.85$

Thus, the correct option is, Exponential Decay, $23,914.85.

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2 years ago

Enter the terms and the coefficients of the expression.

Alja [10]

Answer:

terms: 3x,+90y,-70

coefficient:3,-90,-70

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3 years ago

Write the equation with both x= 8 and x= -8 as solution

nlexa [21]

Answer:

$y = x^2 - 64$

Step-by-step explanation:

Hello!

We can use the factored form of a Quadratic to find an equation with 8 and -8 as our solution.

<h3>Factored Form: $y = a(x - h)(x - k)$ </h3>

The value in each parenthesis should be 0. So 8 and -8 can be flipped and used for h and k.

$y = a(x - h)(x - k)$
$y = a(x - 8)(x+ 8)$

This will give roots 8 and -8 for x.

$y = 1(x - 8)(x + 8)\\$
$y = x^2 - 64$

A possible equation is $y = x^2 - 64$ .

5 0

1 year ago

Read 2 more answers