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natali 33 [55]
3 years ago
8

0.0246 x 10-2 and 567.8 x 10² written in scientific notation

Mathematics
1 answer:
Travka [436]3 years ago
5 0

0.0246 x 10^-2 and 567.8 x 10² written in scientific notation?

They are not written in scientific notation

In scientific notation:

0.0246 x 10^-2 = 2.46 x 10^-4

567.8 x 10² =  5.678 x 10^4

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How do I find the vertex and the standard form? Plz explain
xenn [34]

Answer:

Vertex form

y = -4(x + 3)^2 + 10

Standard form;

y = -4x^2-24x - 26

Step-by-step explanation:

Mathematically, we have the vertex form as

y = a(x-h)^2 + k

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We have h as -3 and k as 10

y = a(x+3)^2 + 10

To get a, we substitute any of the points

Let us use (-1,-6)

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So we have the equation as;

y = -4(x+3)^2 + 10

For the standard form;

We expand the vertex form;

y = -4(x + 3)(x + 3) + 10

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7 0
3 years ago
A cash register contains $10 bills and $20 bills with a total value of $520. If there are 32 bills total, then how many of each
ohaa [14]

12 is the number of $10 bills

20 is the number of $20 bills

<u><em>Step-by-step explanation:</em></u>

<u><em /></u>

Hello,

<u>Let's note</u>

a    the number of $10 bills

b    the number of $20 bills

The total value is $520 so we can write the first equation (1)

    \boxed{\sf 10a \ + \ 20b \ = \ 520 }

We know that there are 32 bills in total so we can write the second equation (2)

    \boxed{\sf a \ + \ b \ = \ 32 }

(1) - 10*(2) gives

10a + 20b - 10(a+b) = 520 - 320 = 200

10a + 20b - 10a - 10b = 10b = 200

So b = 200/10=20

and then from (2) a = 32 - 20 = 12

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

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Answer:

Step-by-step explanation:

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