f(x)=x^2+12x+26
Vertex form of f(x) = a(x-h)^2 +k
We change f(x) into vertex form using completing the square method
We take half of square of middle term
middle term is 12
Half of square of 12 is 
then 6^2 = 36
Add and subtract 36 to complete the square
The vertex form 
Answer:
Null hypothesis: ∪ = $7,000
Step-by-step explanation:
The null hypothesis is a general statement that there is no relationship between two measured instances or no association among groups.
In this case, the sales of a grocery store had an average of $7,000 per day is the null hypothesis. Then the research was carried out to test for the effectiveness of the advertising campaigns in increasing sales.
Thus, this is the alternative hypothesis. The researchers wish to test against the null with regards to the involvement of the advertising campaigns.
Thus, the null hypothesis is just the average sales without the advertising campaigns which is
Null hypothesis: ∪ = $7,000
Alternative hypothesis: ∪ ≠ $7,000
<span>The dimensions are 40 inches by 55 inches.
Explanation<span>:
We know that perimeter is the sum of all of the sides. Since this is rectangular, opposite sides are equal. This gives us
y+11/8y+y+11/8y=190.
Combining like terms, we have
2y+22/8y=190.
Writing 22/8 as a mixed number, we have
2y+2 3/4y=190
4 3/4y=190.
Divide both sides by 4 3/4:
(4 3/4y)</span></span>÷<span><span>(4 3/4)=190</span></span>÷<span><span>(4 3/4)
y=190</span></span>÷<span><span>(4 3/4).
Convert the mixed number to an improper fraction:
y=190</span></span>÷<span><span>(19/4).
To divide fractions, flip the second one and multiply:
y=190*(4/19)=760/19=40.
Since y=40, 11/8y=11/8(40)=440/8=55.</span></span>
All we need to do here is divide the circumference by 2.
104.48 / 2 = 52.24
The new circumference is 52.24 mm.
