For deck,
Length = 2x + 1
Width = 5x + 2
For pool,
Length = 2x
Area of deck including pool = (2x + 1)(5x + 2) = 10x^2 + 4x + 5x + 2 = 10x^2 + 9x + 2
Area of pool = 2x * 2x = 4x^2
Area of only the deck = 10x^2 + 9x + 2 - 4x^2
= 6x^2 + 9x + 2
21499 +12*x=22.75*x
21499=22.75x-12x
21499=10.75x
x=21499/10.75≈1999.9≈2000 books
Answer:
Fail to reject the null hypothesis.
Step-by-step explanation:
The hypothesis test is conducted for Boston public school. They have used z-value table and the value of test statistics is 1.20. AT the significance level of 0.05, the null hypothesis is accepted. We cannot reject the null hypothesis. The p-value is greater than alpha so there is no evidence to support the claim of Boston Public School.
9514 1404 393
Answer:
y = (5/27)(x -7)^2 -5/3
Step-by-step explanation:
Use the given points to find the unknowns in the equation.
If the axis of symmetry is x=7, then the equation can be written in the form ...
y = a(x -7)^2 +b
Filling in the two point values, we have two equations:
0 = a(4 -7)^2 +b ⇒ 9a +b = 0
5 = a(1 -7)^2 +b ⇒ 36a +b = 5
__
Subtracting the first equation from the second, we have ...
(36a +b) -(9a +b) = (5) -(0)
27a = 5
a = 5/27
Substituting that value into the first equation gives ...
9(5/27) +b = 0
5/3 +b = 0
b = -5/3
So, the quadratic can be written in vertex form as ...
y = (5/27)(x -7)^2 -5/3
Answer:1 and 9
Step-by-step explanation:
Square is 4