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Mathematics

1 answer:

9966 [12]3 years ago

8 0

Answer:

(x-4) (x+1)

step by step explanation:,

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A business buys a computer for $3,000. After 4 years the value of the computer is expected to be $250. The value, v, can be rela

yuradex [85]

You are given two points in the linear function. At time 0 years, the value is $3000. At time 4 years, the value is $250. This means you have points (0, 3000) and (4, 250). You need to find the equation of the line that passes through those two points.

y = mx + b

m = (y2 - y1)/(x2 - x1) = (3000 - 250)/(0 - 4) = 2750/(-4) = -687.5

Use point (0, 3000).

3000 = -687.5(0) + b

b = 3000

The equation is

y = -687.5x + 3000

Since we are using points (t, v) instead of (x, y), we have:

v = -687.5t + 3000

Answer: d. v = -687.50 t + 3,000

6 0

3 years ago

Each row contains the degree measures of two complementary angles. Complete the table.

lilavasa [31]

Answer:

90 - x

Step-by-step explanation:

90 - 80 = 10

90 - 25 = 65

90 - 54 = 36

90 - x

5 0

3 years ago

The directrix of a parabola is x = 4. Its focus is (2,6) .

Sati [7]

Answer:

Step-by-step explanation:

If you plot the directrix and the focus, you can see that the focus is to the left of the directrix. Since a parabola ALWAYS wraps itself around the focus, our parabola opens sideways, to the left to be specific. The formula for the parabola that opens to the left is

$-(y-k)^2=4p(x-h)$

We will solve this for x at the end. The negative is out front because it opens to the left. If it opened to the right, it would be positive.

The vertex of a parabola is exactly halfway between the focus and the directrix, so our vertex coordinates h and k are (3, 6). P is defined as the distance between the vertex and the directrix, or the vertex and the focus. Since the vertex is directly between both the directrix and the focus, each distance is the same. P = 1. Filling in what we have now:

$-(y-6)^2=4(1)(x-3)$ which simplifies to