Answer:
log₂(3) = 1.585 ≠ 1.5
Her thinking is not valid because the technique of average is valid only if the graph of the function is a straight line, but the graph of the log function is not a straight line.
Therefore the values cannot be taken by average
Step-by-step explanation:
Given:
log₂(2) = 1
log₂(4) = 2
To evaluate : log₂(3)
Now,
we know that
logₓ(y) =
(Here the log has same base in the numerator and the denominator i.e 10)
therefore,
log₂(3) =
also,
log(2) = 0.3010
log(3) = 0.4771
thus,
log₂(3) =
or
log₂(3) = 1.585 ≠ 1.5
Her thinking is not valid because the technique of average is valid only if the graph of the function is a straight line, but the graph of the log function is not a straight line.
Therefore the values cannot be taken by average
To find the difference of the given expression, first step is to get rid of parenthesis. So, distribute negative sign to each terms of the second parenthesis. Hence,
(9x² + 10x + 4) - (9x² + 5x - 1)
= 9x² + 10x + 4 - 9x² - 5x + 1.
= (9x² - 9x²) +(10x - 5x) + (4 + 1) Group the like terms.
= 0 + 5x + 5 Combine the like terms.
= 5x + 5.
So, first choice is correct.
Hope this helps you!
Ok so ax + 3b = 2f
If you take '3b' away from both sides,
This means that ax = 2f -3b
And so once you divide both sides by a, you get:
x = (2f-3b)/a
Hope this helped
Answer:
A
Step-by-step explanation:
The line from the vertex to the base is a perpendicular bisector and divides the isosceles triangle into 2 right triangles.
Using Pythagoras' identity in either of the 2 right triangles, then
(
x )² + 3² = (
)²
x² + 9 = 45 ( subtract 9 from both sides )
x² = 36 ( multiply both sides by 4 to clear the fraction )
x² = 144 ( take the square root of both sides )
x =
= 12 → A