Write the distance in scientific notation MATH HELP

Mathematics

2 answers:

OlgaM077 [116]4 years ago

8 0

Scientific ntation is
(number that is more than or equal to 1 and less than 10) times 10^n
n is the number of spaces the decimal point moved to the left to get to the number less than 10

a.
58000000
5.8
moved 7 places to left
5.8 times 10⁷

b.
0.0025
2.5
moved 3 places to the right or -3 spaces to the left
2.5 times 10⁻³

Stella [2.4K]4 years ago

4 0

<span>58000000=5.8⋅<span>10<span>

The 10 is to the 7th power.

I hope that helps!!!!!!

: )

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The given question is a quadratic equation and we can use several methods to get the solutions to this question. The solution to the equation are 3/4 and -5/6 and the greater of the two solutions is 3/4

<h3>Quadratic Equation</h3>

Quadratic equation are polynomials with a second degree as it's highest power.

An example of a quadratic equation is

$y = ax^2 + bx + c$

The given quadratic equation is $24x^2 + 2x = 15$

Let's rearrange the equation

$24x^2 + 2x = 15\\24x^2 + 2x - 15 = 0$

This implies that

a = 24
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c = -15

The equation or formula of quadratic formula is given as

$y = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}$

We can substitute the values into the equation and solve

$y = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}\\y = \frac{-2 +- \sqrt{2^2 -4 * 24 * (-15)} }{2*24} \\y = \frac{-2+-\sqrt{4+1440} }{48} \\y = \frac{-2+-\sqrt{1444} }{48} \\y = \frac{-2+- 38}{48} \\y = \frac{-2+38}{48} \\y = \frac{3}{4}\\ \\or\\y = \frac{-2-38}{48} \\y = \frac{-40}{48} \\y = -\frac{5}{6}$