Answer:
B
Step-by-step explanation:
The solutions would be 3 and 9
Answer:
Step-by-step explanation:
Required
Translate the statements to algebraic expression
Represent the power with x;
So, the left hand side is
<em>Power of 10: </em>
<em />
<em>Times n: </em>
<em />
<em />
The right hand side is:
<em>0.1515 * power of 10: </em>
<em />
Equate the right hand side to the left:
Hence;
<em>The required expression is </em><em />
Answer:
Last one
t = 1.5; it takes 1.5 seconds to reach the maximum height of 36 meters.
Step-by-step explanation:
h(t) = −16t² + 48t
h(t) = -16(t² - 3t)
h(t) = -16(t² - 2(t)(1.5) + 1.5² - 1.5²)
h(t) = -16(t - 1.5)² + 36
Axis of symmetry:
t = 1.5
Max height = 36
The possible solution to the equation given is 3 and -1/3
<h3>Laws of logarithm</h3>
Given the logarithmic expression given as:
log,(8x) – log,(x^2 - 1) = log, 3
Applying the product and quotient rule will give:
log(8x/x^2-1) = log3
8x/x^2-1 = 3
Cross multiply
8x = 3x^2 - 3
3x^2 - 8x - 3 = 0
3x^2 -9x + x - 3 = 0
3x(x-3)+1(x-3)
x - 3 = 0 and 3x = -1
x = 3 and -1/3
Hence the possible solution to the equation given is 3 and -1/3
Learn more on logarithm here: brainly.com/question/25710806
