Evaluate the expression -2cd if a = -8 b = 2 c = -5 d = 6
1 answer:
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Answer:
The function is increasing for all real values of x where
x < –4.
Step-by-step explanation:
we have
This is a vertical parabola open downward (the leading coefficient is negative)
The vertex (h,k) represent a maximum
The roots of the function (or x-intercepts) are x=-6 and x=-2
The x-coordinate of the vertex is the midpoint of the roots
so
The y-coordinate of the vertex is
substitute the x-coordinate of the vertex in the quadratic equation
The vertex is the point (-4,4)
The function is increasing in the interval (-∞,-4)
The function is decreasing in the interval (-4,∞)
<h2>Answer with explanation:</h2>
Let be the population mean.
Null hypothesis :
Alternative hypothesis :
Since the alternative hypothesis is left tailed, so the test is a left-tailed test.
Sample size : n=5 <30 , so we use t-test.
Test statistic:
Critical t-value for t=
Since, the absolute value of t (1.79) is less than the critical t-value , so we fail to reject the null hypothesis.
Hence, we have sufficient evidence to support the company's claim.