Answer:
D
Step-by-step explanation:
For simplify the work we can start to factorise all the possibles expressions:
2x + 8.
8 is multiple of 2, so it can became
2(x+4)
x^2 - 16 this is a difference of two squares, so it can be rewritten as:
(x+4)(x-4)
x^2 + 8x + 16
we have to find two numbers whose sum is 8 and whose product is 16
the two number are 4 and 4
it becames:
(x+4)(x+4)
x+ 4 can‘t be simplified
if we look at the expression, we can find that x-4 appears at the numerator so
x^2 - 16 must be at numerator
but the second factor (x+4) doesn’t appear, so has been simplified. This situation can be possible only in the D option
in fact
(x+4)(x-4)/2(x+4) * (x+4)/(x+4)(x+4)
it became
(x+4)(x-4)/2 * 1/(x+4)(x+4)
(x-4)/2(x+4)
Answer:
Step-by-step explanation:
I got 100% on the test
B) replace the inequality signs in the two any qualities with equal signs. For a graft representing the two equations that influence the farmers choice of how much of each crop to grow.
C) should the lines be dilated or solid? Give reasons for both lines. What area should be shaded?
Help please
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Answer:
70,176
Step-by-step explanation:
Given that
482 - 412 + 286 - 12 × 204
We need to solve the above equation
= 482 - 412 + 286 - 12 × 204
= 70 + 286 - 12 × 204
= 356 - 12 × 204
= 344 × 204
= 70,176
Hence, the answer to the given equation is 70,176
The same is to be considered and relevant
h(x)=-49x-125
Answer:
The sample size needed if the margin of error of the confidence interval is to be no more than 0.02.
n= 2015
Step-by-step explanation:
Given the customer relations department will survey a random sample of customers and compute a 95% confidence interval for the proportion that are dissatisfied
Given data from past studies, they believe that this proportion will be about 0.28
The proportion of success(p) = 0.28
We know that the margin of error of 95% of intervals of given proportion
margin of error = …(i)
Given margin of error = 0.02
Substitute values in equation (i) cross multiplication √n
0.02 √n = 2√0.28X0.72
On calculation, we get √n = 44.89
squaring on both sides, we get
n = 2015
Conclusion:-
The sample size needed if the margin of error of the confidence interval is to be no more than 0.02.
n= 2015