Simplify the following expression 2x^5+3x^3-5x^2+x^2+7x^5-3x^3-4

Mathematics

1 answer:

Travka [436]4 years ago

6 0

$2x^5+3x^3-5x^2+x^2+7x+1+7x^5-3x^3-4\\\\=(2x^5+7x^5)+(3x^3-3x^3)+(-5x^2+x^2)+7x+(-4+1)\\\\=\boxed{9x^5-4x^2+7x-3}\to\boxed{C.}$

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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

From day 3 to 6 the temperature = 50 °F

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