Step-by-step explanation:
<u>Given function:</u>
<em>See the graph below</em>
According to the graph we see that
The minimum is (-4, -1) and zero's are (-5, 0) and (-3, 0)
<u>Function is positive: </u>
<u>Negative:</u>
- When x is between -5 and -3
<u>Increasing:</u>
<u>Decreasing:</u>
Answer:
The number of years it would take is 
Step-by-step explanation:
From the question we are told that
The earning per share is
$3.50
The growth rate is r = 7.0%
The duration is 
Generally the future value is mathematically represented as

Where P is the present value
n is the time period
A is the future value which is mathematically evaluated as

substituting value

$ 10.5 0
So



Taking log of both sides




An expression is defined as a set of numbers, variables, and mathematical operations. The value of the expression (√2)π/(√5) is 2.
<h3>What is an Expression?</h3>
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The value of the expression (√2)π/(√5) can be written as,

= 0.6324 × π
= 1.9869 ≈ 2
Hence, The value of the expression (√2)π/(√5) is 2.
Learn more about Expression:
brainly.com/question/13947055
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So for this trinomial, I will be factoring by grouping. Firstly, what two terms have a product of 16x^2 and a sum of 10x? That would be 8x and 2x. Replace 10x with 2x + 8x:

Next, factor x^2 + 2x and 8x + 16 separately. Make sure that they have the same quantity inside the parentheses: 
<u>Now you can rewrite this as
, which is your final answer.</u>
Answer:
The null hypothesis is: 
The alternative hypothesis is: 
Step-by-step explanation:
At the null hypothesis, we test if the mean is equal to a certain value.
At the alternate hypothesis, we test if the mean is less than, more than, or different from the value tested at the null hypothesis.
The tuft bind strength of a synthetic material used to make carpets is known to have a mean of 100 lb and standard deviation of 20 lb.
This means that the null hypothesis is: 
Could it be that the average tuft strength is above 100 lb?
The world above means that the appropriate alternative hypothesis is: 