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3 years ago

Simplify (three^six)^eigthteen

Mathematics

1 answer:

Alona [7]3 years ago

6 0

Answer:

$(3^6)^{18}=3^{108}=3.38139191\times10^{51}$

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Answer:

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Step-by-stStep-by-step p explanation:

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Write the quadratic function in standard formDetermine vertex and axes interceptsGraph it

jolli1 [7]

Step 1

Given;

$f(x)=x^2+2x-8$

Required; To find the vertex and axes intercepts. write it in standard form and graph it.

Step 2

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$\begin{gathered} (h,k)=(\frac{-b}{2a},f(h)) \\ a=1,b=2,c=-8 \end{gathered}$ $\begin{gathered} h=-\frac{2}{2(1)}=-1 \\ f(h)=(-1)^2+2(-1)-8=1-2-8=-9 \\ Vertex(h,k)=(-1,-9) \end{gathered}$

Step 3

Find the axes intercepts

$\begin{gathered} x^2+2x-8=0 \\ factors\text{ are 4x and -2x} \\ x^2+4x-2x-8=0 \\ x(x+4)-2(x+4)=0 \\ (x-2)(x+4)=0 \\ x=2\text{ or -4} \\ x-intercepts=(-4,0),(2,0) \end{gathered}$ $\begin{gathered} To\text{ find the y-intercept set x=0} \\ f(x)=0^2+2(0)-8 \\ f(x)=-8 \\ y-intercept=(0,-8) \end{gathered}$

Step 4

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Step 5

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$\begin{gathered} f(x)=ax^2+bx+c-\text{ Standard form of any quadratic eqaution} \\ Thus\text{ the required standard form will be;} \\ f(x)=x^2+2x-8 \end{gathered}$

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1 year ago

If a coin is tossed seven times, what is the

Scorpion4ik [409]

Answer:

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Step-by-step explanation:

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4 years ago

Read 2 more answers

Use the equation y=1/3x-2<br> Draw a graph of the line, and identify the slope and Y intercept

xz_007 [3.2K]

I can't graph the equation for you, but I can tell you where the points will be. The y-intercept is easy; 1/3×0=0 and 0-2= -2. One of your points (the y-intercept) should be at (0,-2). To find another point is slightly trickier, but all you have to do here is find a multiple of three. For the simplest one, go to 3 on the x-axis. Then, apply the equation, y=1/3x-2. Your second point should lay at (3,-1). Then, just connect those two points and extend them to show that the line is continuous. Hope I could help!

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3 years ago