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3 years ago

(x−7)2−25=0 smaller x = larger x =

Mathematics

1 answer:

nexus9112 [7]3 years ago

7 0

Remark

Are you sure you don't mean that (x - 7) is squared? The way you have written it indicates that it is squared. I'll treat it that way and you can leave a not if I am wrong.

Solution

(x - 7)^2 - 25 = 0 Add 25 to both sides

(x - 7)^2 - 25 + 25 = 25 Combine the left

(x - 7)^2 = 25 Take the square root of both sides.

sqrt(x - 7)^2 = sqrt(25)

x - 7 = +/- 5 Add 7 to both sides

x = 7 +/- 5

=========

x1 = 7 + 5

x1 = 12

x2 = 7 - 5

x2 = 2

Smallest x = 2

Largest x = 12

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$\begin{cases}f(x) = 70^{\circ } & \text{ if } 0 \leq x \leq 3 \\f(x) = 50^{\circ} & \text{ if } 3 < x \leq 6 \\ f(x) = 35^{\circ }& \text{ if } 6 < x \leq 12 \end{cases}$

Please find attached the graph of the step function?

<h3>How can the step function be written?</h3>

The temperature at it is fermented in the first three days = 70 °F

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From day 6 to day 12, the temperature at which it is kept in the freezer = 35 °F

The step function is therefore;

$\begin{cases}f(x) = 70^{\circ } & \text{ if } 0 \leq x \leq 3 \\f(x) = 50^{\circ} & \text{ if } 3 < x \leq 6 \\ f(x) = 35^{\circ }& \text{ if } 6 < x \leq 12 \end{cases}$

The graph of the above function created with MS Excel is attached

Learn more about step functions here:

brainly.com/question/2509505

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