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4 years ago

Expand ( 2 − x ) 5 and identify each part of the expression.

Mathematics

1 answer:

dimaraw [331]4 years ago

8 0

You use distributive property. So (5 x 2)-(5 x x)= 10 - 5x.

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For the given term, find the binomial raised to the power , whose expansion it came from: 10a ^ 3 * b ^ 2 .

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3 years ago

Which graph represents this function f(x)=1/2x-5

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The first graph(Left)

Step-by-step explanation:

Because in this form 1/2 is the slope and -5 is the y intercept.

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3 years ago

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Simplify the expression explain each step 10+(2+y)

cestrela7 [59]

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12y

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4 years ago

Is 2/13a repeating decimal

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Answer:

Step-by-step explanation:

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3 years ago

Given the position of the particle, what the position(s) of the particle when it’s at rest

choli [55]

The position function of a particle is given by:

$X\mleft(t\mright)=\frac{2}{3}t^3-\frac{9}{2}t^2-18t$

The velocity function is the derivative of the position:

$\begin{gathered} V(t)=\frac{2}{3}(3t^2)-\frac{9}{2}(2t)-18 \\ \text{Simplifying:} \\ V(t)=2t^2-9t-18 \end{gathered}$

The particle will be at rest when the velocity is 0, thus we solve the equation:

$2t^2-9t-18=0$

The coefficients of this equation are: a = 2, b = -9, c = -18

Solve by using the formula:

$t=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}$

Substituting:

$\begin{gathered} t=\frac{9\pm\sqrt[]{81-4(2)(-18)}}{2(2)} \\ t=\frac{9\pm\sqrt[]{81+144}}{4} \\ t=\frac{9\pm\sqrt[]{225}}{4} \\ t=\frac{9\pm15}{4} \end{gathered}$

We have two possible answers:

$\begin{gathered} t=\frac{9+15}{4}=6 \\ t=\frac{9-15}{4}=-\frac{3}{2} \end{gathered}$

We only accept the positive answer because the time cannot be negative.

Now calculate the position for t = 6:

$undefined$

6 0

1 year ago