Answer:
b = 3w; 54
Step-by-step explanation:
Since the student reads 3 books in one week, we know that one book is three times the amount of weeks, or b = 3w
We can plug in 18 for w to find how many books are read in 18 weeks
b = 3w
b = 3(18)
b = 54
So after 18 weeks she has read 54 books
The possible coordinates for N is 0
Answer:
<h2>
Yes, this is a right triangle.</h2>
Step-by-step explanation:
Hypotenuse always have the highest number than base and perpendicular.
Hypotenuse ( h ) = 15
Base ( b ) = 9
Perpendicular ( p ) = 12
Let's see whether the given triangle is a right triangle or not
Using Pythagoras theorem:
Plugging the values,
Evaluate the power
Calculate the sum
Hypotenuse is equal to the sum of perpendicular and base.
So , we can say that the given lengths of the triangle makes a right triangle.
Hope this helps..
Best regards!!
A) zeroes
P(n) = -250 n^2 + 2500n - 5250
Extract common factor:
P(n)= -250 (n^2 - 10n + 21)
Factor (find two numbers that sum -10 and its product is 21)
P(n) = -250(n - 3)(n - 7)
Zeroes ==> n - 3 = 0 or n -7 = 0
Then n = 3 and n = 7 are the zeros.
They rerpesent that if the promoter sells tickets at 3 or 7 dollars the profit is zero.
B) Maximum profit
Completion of squares
n^2 - 10n + 21 = n^2 - 10n + 25 - 4 = (n^2 - 10n+ 25) - 4 = (n - 5)^2 - 4
P(n) = - 250[(n-5)^2 -4] = -250(n-5)^2 + 1000
Maximum ==> - 250 (n - 5)^2 = 0 ==> n = 5 and P(5) = 1000
Maximum profit =1000 at n = 5
C) Axis of symmetry
Vertex = (h,k) when the equation is in the form A(n-h)^2 + k
Comparing A(n-h)^2 + k with - 250(n - 5)^2 + 1000
Vertex = (5, 1000) and the symmetry axis is n = 5.
