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Tomtit [17]
3 years ago
5

(8.96 x 10^4) (7.97 x 10^9)/2.54 x10^6

Mathematics
1 answer:
viktelen [127]3 years ago
6 0

\text{Scientific notation:}\\\\a\cdot10^k\\\\\text{where}\ 1\leq a

\dfrac{(8.96\cdot10^4)(7.97\cdot10^9)}{2.54\cdot10^6}=\dfrac{(8.96)(7.97)}{2.54}\cdot\dfrac{(10^4)(10^9)}{10^6}\\\\\text{Use}\ a^n\cdot a^m=a^{n+m}\ \text{and}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\=\dfrac{71.4112}{2.54}\cdot10^{4+9-6}=\dfrac{7141.12}{254}\cdot10^7\approx28.11\cdot10^7\\\\=2.811\cdot10\cdot10^7=2.811\cdot10^{7+1}\\\\=\boxed{2.811\cdot10^8}

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What is the axis of symmetry of the function f(x) = –(x + 9)(x – 21)?
ludmilkaskok [199]
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anyway, you end up with x²-12x-189, but you have to inverse all numbers because of the parentheses in front, so it becomes -x²+12x+189.

Now you can find the axis of symmetry uisng the equation -b=2a (oh yeah, I forgot to mention: the standard quadratic form is a(x)²+b(x)+c already). So you do -12 / -2, which then becomes 6.

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3 0
3 years ago
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Lunna [17]
<h2>1st Equation:</h2>

Answer for A:

a =  \frac{5 - 3b}{2}

Answer for B:

b =  \frac{5 - 2b}{3}

<h2>2nd Equation:</h2>

Answer:

a = b + 5

<u>hope it helps</u><u>.</u>

5 0
2 years ago
Help will give 20 points
siniylev [52]

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3 years ago
What slope would make the lines<br> parallel?<br> y = -3x + 9<br> y = [?]x + 4
Vladimir79 [104]

Answer:

- 3

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Parallel lines have equal slopes, thus

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Must a function that is decreasing over a given interval always be negative over that same interval ? Explain
Leno4ka [110]
Check the picture below.

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3 years ago
Read 2 more answers
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