Answer:

Step-by-step explanation:
Standard form:

Vertex form:

(h, k) is the vertex
x is the coordinate of the vertex
To find x use the formula:


a=1
b=-2
c=-6
Substitute:

Substitute x in equation:

h=1
k=-7
Substitute h, and k into the vertex formula:

Answer:
y=-1
Step-by-step explanation:
it is a straight line graph with no gradient therefore no X value. It crosses the y axis at -1
Nick had 3 1/4 bottles before, and he had 1 2/4 bottles left, so that means
3 1/4 - 1 2/4 = 1.75
1.75= 1 3/4.
So, I do not agree with nick.
Hope this helps!!! :)
Answer:
Following are the solution to the given points:
Step-by-step explanation:
Please find the complete question in the attached file.
In this question, we assume that "x" denotes as an actual time of the battery charging, that is a uniform random variable that
In point a:
so, pdf of x =
In point b:
To find

In point c:

In point d:

Answer:
B.
Step-by-step explanation:
We have been given that the trapezoid shown in the attachment has been enlarged by a scale of 1.5. We are asked to find the area of the enlarged trapezoid.
The area of the original trapezoid is 36 square inches.
Since each side of the trapezoid is enlarged 1.5 times, so the area of new trapezoid would be 2.25 times greater than area of original trapezoid.
The area would be 2.25 times greater because area is product of sum of lengths of parallel sides and height.



Therefore, the area of the enlarged trapezoid would be
and option B is the correct choice.