Hi there!
y = x² - 5x - 6
Rewrite into factored form by finding two numbers that sum up to -5 and multiply into -6. We can use the numbers -6 and 1:
y = (x - 6)(x + 1) is the equation in factored form.
There are zeroes at:
0 = x - 6
x = 6
0 = x + 1
x = -1
Find the x-value exactly half-way between the two zeroes to find the axis of symmetry:
(-1 + 6) / 2 = 5 / 2 = 2.5
Therefore, the equation for the line of symmetry is:
x = 2.5
The simplified expression of the function is
. f(x) is increasing for all x > –4.The correct answer is option C.
A function is defined as a relation between the set of inputs having exactly one output each.
The function expression is given as:
Expand the denominator
Factorize the denominator
Factor out x + 9
The simplified expression of the function is
. f(x) is increasing for all x > –4
Read more about functions at:
#SPJ1
Answer: 0.8461
Step-by-step explanation:
Let p be the proportion of residents are against the increase of taxes to fund alternatives to drug addiction treatment.
As per given , we have p=0.40
A random sample is taken with size : n= 400
Expecting sample proportion :
Now , the probability that more than 150 of the residents surveyed will be against increasing taxes if a random sample of 400 residents are surveyed will be :
[By z-table]
Hence, the approximate probability that more than 150 of the residents surveyed will be against increasing taxes if a random sample of 400 residents are surveyed is 0.8461 .