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3 years ago

A graph has time (years) on the x-axis and height (inches) on the y-axis. A line goes through points (2, 5) and (4, 10).

Mathematics

1 answer:

Sergeu [11.5K]3 years ago

4 0

Answer:

2.5 inches per year

Step-by-step explanation:

We can deduce the rate of change by obtaining the slope or gradient of thw points given :

Gradient = Rise / Run.

Point A (2, 5) ; point B (4, 10)

x1 = 2 ; y1 = 5 ;x2 = 4 ; y2 = 10

Rise = y2 - y1 = 10 - 5 = 5

Run = x2 - x1 = 4 - 2 = 2

Rate of change = Gradient = 5 /2 = 2.5

Which is 2.5 inches per year

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3 years ago

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4 years ago

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Amanda [17]

<u>Answer:</u>

x = 2.68, x = -0.186

<u>Step-by-step explanation:</u>

We are given the following equation that we are to solve:

$2 x ^ 2 - 1 = 5 x$

Rearranging this quadratic equation to get:

$2 x ^ 2 -5 x - 1 = 0$

Solving it by using the quadratic formula as we cannot find any factors for it.

$x= \frac{-b \pm \sqrt{b^2-4ac} }{2a}$

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