Answer:
Step-by-step explanation:
Cross multiply
Divide by 39
The value of b is -3.
<h3>What is axis of symmetry?</h3>
Axis of symmetry is a line that divides an object into two halves,thereby creation a mirror like reflection of either side of the object.
Now the given function is,
f(x) = 1/4 x^2 bx + 10
and axis of symmetry is at x = 6
Now the quadratic function in standard form is given as,
f(x) = a x^2 bx + c
By comprison we get,
a = 1/4
c = 10
Since axis of symmetry is a vertical line
x = -b/2a
Therefore,
6 = -b/2*(1/4)
-b = 6*2*(1/4)
or, b = -12/4
or, b = -3
Hence,The value of b is -3.
More about axis of symmetry :
brainly.com/question/3514150
#SPJ1
The number 1.04 represents the rate at which the house appreciates, or increases in its price annually.
As according to the values of an exponential equation, which is represented by this: y=ab^x, the a value represents the original price, the b value represents the rate of growth/decay (if growth, you add 1 to the rate, if decay, you subtract the rate from 1), and x represents the amount of times it decays or grows.
As according to the function <span> f(x) = 242,000(1.04)^x, 242,000 is the original price and 1.04 is the rate of growth since 1 has been added to the the 4% annual growth.</span>
Answer:
a) 1.3652
b) 1.3906
Step-by-step explanation:
a) log5 9 = log5 3² = 2log5 3 = 2(0.6826) = 1.3652
b) log5 75/8 = log5 75 - log5 8 = log5 3×25 - log5 8=
log5 3 + log5 5² - log5 8 = 0.6826 + 2 - 1.2920 = 0.6826 + 0.708 = 1.3906
