Answer:
x=−1 or x=−6
Step-by-step explanation:
Multiply all terms by x and cancel:
xx+6=−7x
x2+6=−7x(Simplify both sides of the equation)
x2+6−−7x=−7x−−7x(Subtract -7x from both sides)
x2+7x+6=0
(x+1)(x+6)=0(Factor left side of equation)
x+1=0 or x+6=0(Set factors equal to 0)
x=−1 or x=−6
Check answers. (Plug them in to make sure they work.)
x=−1(Works in original equation)
x=−6(Works in original equation)
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Answer:767600640
Step-by-step explanation: If 720 equals x, you multiply 128 by 720, and multiply the answer by 8,329.
Answer:
1:2:√3
Step-by-step explanation:
since XYZ is a special right triangle
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.
Answer:
35 acres.
Step-by-step explanation:
Proportions:
15. 8 ⇒ 1 acre
553 ⇒ P acres
P = 553*1/15.8
P = 35 acres
