Answer:
x > 4
Step-by-step explanation:
3x - 7 > 5
3x - 7 + 7 > 5 + 7
3x > 12
x > 4
Step-by-step explanation:
3.25÷2=1.625
19.5÷1.625=12
Answer:
4(x - 
)² = 0
Step-by-step explanation:
Given
4x² - 4x + 1 = 0
To complete the square the coefficient of the x² term must be 1
Factor out 4 from 4x² - 4x
= 4(x² - x) + 1 = 0
add/subtract ( half the coefficient of the x- term )² to x² - x
4(x² + 2(- )x + 
- ) + 1 = 0
4(x - )² - 1 + 1 = 0
4(x - )² = 0
The first option,
both have to be negative, because they were originally both part of the one fraction, which was all negative.
Surprise! It turns out that the answer is 1.
Why?!!??!
Notice this pattern when working with powers of 2:
2^0 2^1 2^2 2^3 2^4
? 2 4 8 16
Every time we increase the power we multiply by 2. Or reading the pattern backwards, every time we decrease the power we divide by 2. What is 2 divided by 2? It is 1! So 2^0 = 1 to finish the pattern:
2^0 2^1 2^2 2^3 2^4
1 2 4 8 16
Try it with 3 or with 5 or with any number! You'll see that the pattern holds!
