30 inches because 32x30=960 and the formula being used is V=bh.
Answer:
Taking P(x) = x³-12x-16 as an example
Step-by-step explanation:
For a polynomial, if
x = a is a zero of the function, then (x − a) is a factor of the function.
We have two unique zeros:
−2 and 4. However, −2 has a multiplicity of 2, which means that the factor that correlates to a zero of −2 is represented in the polynomial twice.
Following how it's constructed
zero at -2, multiplicity 2
zero at 4, multiplicity 1
p(x)=x−(−2))²(x−4)¹
Thus,p(x)=(x+2)²(x−4)
Expand: p(x)=(x²+4x+4)(x−4)
p(x) =x³−12x−16
See attachment for the graph of the set (1, ∞) ∩ (−10, ∞)
<h3>How to graph the set on a number line?</h3>
The set is given as:
(1, ∞) ∩ (−10, ∞)
The above means that the numbers inclusive in the set are numbers between the following set:
- (1, ∞): All real numbers greater than 1
- (−10, ∞): All real numbers greater than -10
The intersection of the above set is (1, ∞)
This means that the set (1, ∞) ∩ (−10, ∞) is a set of all real numbers greater than 1
Having done the above illustration, next we plot the set on a number line
See attachment for the graph of the set (1, ∞) ∩ (−10, ∞)
Read more about number lines at:
brainly.com/question/24644930
#SPJ1
Based on the amount predicted to be spent, the hypotheses will be:
- Null Hypothesis = $1,007.24
- Alternate Hypothesis ≠ $1,007.24
The Null Hypothesis is the one that confirms the prediction so in this case it will be that the average shopper will indeed spend $1,007.24.
The Alternate Hypothesis theorizes that the event being predicted will not happen so in this case that would mean that the shopper would not spend $1,007.24.
In conclusion, the null hypothesis confirms and the alternate denies.
<em>Find out more on the null hypothesis at brainly.com/question/15980493.</em>
