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Marrrta [24]
4 years ago
10

How many places do you need to move the decimal to the left to write the number below in scientific notation? 1,200,000,000

Mathematics
1 answer:
OverLord2011 [107]4 years ago
5 0
1.2 * 10 (9)
You need to move it 9 places to the left
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Find the value of a and of b for which<br>(a) the solution of x2 + ax &lt; b is<br>-2&lt;x &lt; 4​
KengaRu [80]

Answer: a = -2

b = 8

Step-by-step explanation:

Given :

x^{2} +ax

re - writing the equation , we have

x^{2} +ax-b

we need to find the value of a and b for which -2<x < 4 , this means that the roots of the quadratic equation are -2<x < 4.

The formula for finding the quadratic equation when the roots are known is :

x^{2} - sum of roots(x) + product of root = 0

sum of roots = -2 + 4 = 2

product of roots = -2 x 4 = -8

substituting into the formula , we have:

x^{2} -2x-8=0 , which could be written in inequality form as

x^{2} -2x-8

comparing with x^{2} +ax-b , it means that :

a = -2

b = 8

3 0
3 years ago
Jessica purchased a dvd that was on sale for 12% off. the sales tax in her county is 3%. let y represent the original price of t
ohaa [14]

Jessica purchased a DVD that was on sale for 12% off.

The sales tax in her county is 3%.

Let, y represent the original price of the DVD.

We can simply solve this mathematical problem by using the following mathematical process.

Here, we will form an algebraic expression, according to the given data.

So,

The original price of the DVD = y

Discount on the original price :

y * 12/100

=3y/25

Price after discount :

y - 3y/25

=25y - 3y/25

=22y/25

Sales tax amount :

22y/25 * 3/100

11y/25 * 3/50

=33y/1250

Final price including the sales tax :

22y/25 + 33y/1250

1100y + 33y/1250

1133y/1250

(This will be considered as the final result.)

Learn more about sales tax here:brainly.com/question/9437038

#SPJ4

5 0
2 years ago
5/10 - 3/12= as a mixed number fraction
wariber [46]

Answer:

It's 1/4, in its simplest form

It cannot be a mixed number

EXPLANATION:

You're welcome. You find the least common denominator for the two fractions, and that is 60.

Then multiply the numberator and denominator by the number that makes the denominator common. For instance, for 5/10 we would use 6. 10 TIMES 6 IS 60, AND 5 TIMES 6 IS 30. Now its 30/60

We do the same for fraction 2:

12 TIMES 5 IS 60, AND 3 TIMES 5 IS 15. Now its 15/60

Your new question is 30/60 MINUS 15/60. = 15/60. 15/60 reduces to 1/4. I HOPE YOU UNDERSTAND :)))

8 0
4 years ago
My final 64 points. Who wants em? Hehe
Alex Ar [27]

Answer:

thanks!

Step-by-step explanation:

4 0
3 years ago
Evaluate (-12)(-2)^2<br> 48 576<br> -48
zubka84 [21]

Answer:

"√ 75 " "6 !/ 3 !"  "√ 16"  click brainliest and thanks<3

5 0
3 years ago
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