If 6,734 = 6.734 x 10^a then a =

Mathematics

2 answers:

Pani-rosa [81]2 years ago

5 0

Hopes this helps:

Answer: a = 3

Have a great day.

Alik [6]2 years ago

5 0

Answer:

a = 3

Step-by-step explanation:

A number in scientific form is

a × $10^{n}$ ( where 1 ≤ a < 10 and n is an integer )

We require to express 6734 as a number between 1 and 10 , that is

6.734

To get the number back to what it is requires it to be multiplied by 1000

6734 = 6.734 × 1000 = 6.734 × $10^{3}$

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Blizzard [7]

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3 years ago

G(x) = -2x^3 – 15x^2 + 36x

shusha [124]

Consider the function $G(x) = -2x^3 - 15x^2 + 36x.$ First, factor it:

$G(x) = -2x^3 - 15x^2 + 36x=-x(2x^2+15x-36)=\\ \\=-x\cdot 2\cdot \left(x-\dfrac{-15-\sqrt{513}}{4}\right)\cdot \left(x-\dfrac{-15+\sqrt{513}}{4}\right).$

The x-intercepts are at points $\left(\dfrac{-15-\sqrt{513} }{4},0\right),\ (0,0),\ \left(\dfrac{-15+\sqrt{513} }{4},0\right).$

1. From the attached graph you can see that

function is positive for $x\in \left(-\infrty, \dfrac{-15-\sqrt{513} }{4}\right)\cup \left(0,\dfrac{-15+\sqrt{513} }{4}\right);$
function is negative for $x\in \left(\dfrac{-15-\sqrt{513} }{4},0\right)\cup \left(\dfrac{-15+\sqrt{513} }{4},\infty\right).$