Answer:
Part (A) Factored using GCF is: 2(x² + 2) → (GCF is 2)
Part (B) Factored using GCF is: 2x³(3x-1) → (GCF is 2x³)
Step-by-step explanation:
Greatest Common Factor or GCF, is whichever value that fits into both terms. For example if you have 2, 4, and 6, 2 is the biggest value that fits into all 4 terms.
To factor using GCF, simply find the GCF of both terms, and take it out, then multiply what you have remaining by whatever the GCF is.
Answer:
a = 3
b = 2
Step-by-step explanation:
(x - 3)² - 9 + 7 = 0
(x - 3)² - 2 = 0
x - 3 = ± √2
x = 3 ± √2
And they want the answer in the formula so a = 2 and b = 2
The expanded logarithm of log 2 x³y⁻² is = log 3 + 3 log x - 2 log y.
What is a logarithmic function?
A logarithmic function in mathematics is defined as the function which is the inverse of the exponential function. It is denoted by using the word log. For example log 10 = 1
Expanding the given logarithm: log 2 x³y⁻²
Given logarithmic expression is log 2 x³y⁻²
Applying given properties of logarithmic function;
log a + log b = log (ab)
2 log a = log a^2
Now, log 2 x³y⁻² = log 3 + log x³ + log y⁻²
= log 3 + 3 log x - 2 log y
Hence, the expanded logarithm of log 2 x³y⁻² is = log 3 + 3 log x - 2 log y.
To learn more about the logarithmic functions, visit here:
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Answer:
4.
y= 2/3x + 3
Step-by-step explanation:
By using the distributive property on the right side of the equation you get 2/3x + 2. Then you add 1 to the right side to cancel out the (-1) on the left.
Answer:
A. -0.93
Step-by-step explanation:
It is a negative due to the scatter plot line decreasing as the precipitation increases, which cancels out C & D. Then, it is decreasing rapidly, which portrays it as closer to -1 than 0, meaning the answer is A.