Answer:
3 dots
Step-by-step explanation:
This should be correct due to there only being 3 100% on the table
Answer:
2(x + 2)² - 5
Step-by-step explanation:
Given
2x² + 8x + 3
To obtain the required form use the method of completing the square.
The coefficient of the x² term must be 1, thus factor 2 out of 2x² + 8x
= 2(x² + 4x) + 3
add/subtract ( half the coefficient of the x- term)² to x² + 4x
= 2(x² + 2(2)x + 4 - 4) + 3
= 2(x + 2)² - 8 + 3
= 2(x + 2)² - 5
with p = 2 and q = - 5
Simplify the equation.
First, distribute the 2 in the left side of the equation.
Resulting in: 2x-6 = (x-1) + 7
Second, remove the parentheses form the right side of the equation (there is nothing to distribute there).
Resulting in: x - 1 + 7
Now simplify the right side of the equation by subtracting the 1 from the 7.
Resulting in: x + 6
Our goal is to isolate the x to the left side, and the numerals to the right side.
With that in mind, add the 6 (from the right side) to both sides. This cancels out the 6 on the right side.
Resulting in: 2x = 12
Lastly, in order to fully isolate the variable (x), we divide both sides by 2.
Resulting in: x = 6
Hope this helps.
I don't have my calculator handy just now. But just looking at that problem, why don't you try +20 and -45 and see if they do the job.
Answer:
2,025
Step-by-step explanation:
Given:
Third term ar² = 45
Seventh term ar⁶ = 3,645
Find:
ar x ar³
Computation:
From 7th term / 3rd term
ar⁶ / ar² = 3,645 / 45
r⁴ = 81
r = 3
So,
ar² = 45
a(3)² = 45
a = 5
So,
ar x ar³
(5)(3) x (5)(3)³
2,025
