Answer:
What is the common ratio between successive terms in the sequence?
27, 9, 9, 1,
3,
of
The first step to solving this equation is to change the signs on both sides of the equation
y = -
x + 3
Since we don't know what x is but we do know why y is,, we will write our answer with the answer to y and x being left as undefined.
y = -
x + 3, x ∈ R
Let me know if you have any further questions
:)
Answer:
x=7
Step-by-step explanation:
Simplifying
3x + 2(4 + 6x) = 113
3x + (4 * 2 + 6x * 2) = 113
3x + (8 + 12x) = 113
Reorder the terms:
8 + 3x + 12x = 113
Combine like terms: 3x + 12x = 15x
8 + 15x = 113
Solving
8 + 15x = 113
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8' to each side of the equation.
8 + -8 + 15x = 113 + -8
Combine like terms: 8 + -8 = 0
0 + 15x = 113 + -8
15x = 113 + -8
Combine like terms: 113 + -8 = 105
15x = 105
Divide each side by '15'.
x = 7
Simplifying
x = 7
Answer:
Step-by-step explanation:
Step 1
To find a, take the number and move a decimal place to the right one position.
Original Number: 5,820
New Number: 5.820
Step 2
Now, to find b, count how many places to the right of the decimal.
New Number: 5 . 8 2 0
Decimal Count: 1 2 3
There are 3 places to the right of the decimal place.
Step 3
Building upon what we know above, we can now reconstruct the number into scientific notation.
Remember, the notation is: a x 10b
a = 5.82 (Please notice any zeroes on the end have been removed)
b = 3
Now the whole thing:
5.82 x 103
Step 4
Check your work:
103 = 1,000 x 5.82 = 5,820
