A) 2.025 x 10^14 kilometers / 225 million years
B) 2.25 × 10^8
C) 2.025 x 10^14 kilometers / 2.25 x 10^8 years
D) 2.025 x 2.25 = .9
E) 10^14 - 8 = 10^6
F) .9 x 10^6
Notes:
To write in scientific notation, move the decimal place over until there is only 1 number outside of it. (25,000 now equals 2.5) Then count how many spaces you moved over (25,000 moved over three zeros, and the five. That is 4 places) that is what you use to put over the 10 (2.5 x 10^4 = 25,000)
First convert the first equation to combine like terms. Then set your equations up as an addition problem. You want at least one of your variables (y) to be of opposite values so the will cancel out to leave you with just one variable (x). Plug in 1/3 for the x into one of the equations to solve for y. Then write as an ordered pair.
Answer:
2(2x+1)(4x−3)
Step-by-step explanation:
GCF = 2
2( 16x^ 2/ 2+−4x/2− 6/2)
2(8x ^2−2x−3)
2(8x ^2 +4x−6x−3)
2(4x(2x+1)−3(2x+1))
2(2x+1)(4x−3)
You Must First Change 8% To A Decimal Or Fraction. So, Move The Decimal Point In 8.0% Over Two Places. This gives You 0.08. Now, Convert to a fraction. This Becomes:
8
-----
100
Now, divide. Dividing is the same as multiplying by the reciprocal.
So, This Gives You:
8 1
----- • -----
100 100
So, This Gives You:
8/10,000
You set up the problem correctly, just keep going.
Expand out your expression:
2x(3x-9) + 4x(x+13)
= 6x^2 -18x + 4x^2 + 52x
= 10x^2 +34x
Remember that the above expression is the area, so it is equal to 24.
10x^2 + 34x = 24
10x^2 + 34x - 24 = 0 (divide by 2)
5x^2 + 17x - 12 = 0
Done.
