Answer:
2.87
Step-by-step explanation:
2x^2-7=9
2x^2=9+7
2x^2/2=16/2
(square root)x^2=(square root)8
x=2.87
I used this method because I don't know any other method.
1,500+343(3×12)=13,848
1,500+343(36)=13,848
1500+12,348= 13,848
To determine the maximum value of a quadratic function opening downwards, we are going to find the vertex; then the y-value of the vertex will be our maximum.
To find the vertex (h,k) (where h=x-coordinate and k=y-coordinate) of a quadratic function of the form

we'll use the vertex formula:

, and then we are going to replace that value in our original function to find k.
So, in our function

,

and

.
Lets replace those values in our vertex formula:



Now that we know the x-coordinate of our vertex, lets replace it in the original function, to get the y-coordinate:



We just prove that the vertex of

is (2,1), and for the graph we can tell that the vertex of

is (-2,4). The only thing left is compare their y-coordinates to determine w<span>hich one has the greater maximum value. Since 4>1, we can conclude that </span>

has the greater maximum.
Answer:
The length of swimming pool is 10 yards.
Step-by-step explanation:
Given,
Perimeter= 90 feet
Width= 5 yards
As we have to find the length in yards, therefore, we will convert perimeter in yards also.
As we know,
1 Yard = 3 feet
Therefore,
Dividing the perimeter by 3 to convert it into yards.

The formula of perimeter of rectangle is;
P= 2(l+w)
Putting values of perimeter and width;

The length of swimming pool is 10 yards.
Keywords: Perimeter, linear equation
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