Answer: a and d
Step-by-step explanation:
(to find all points of discontinuity, set denominator equal to zero and solve)
(to factor, find two numbers when added together equal -7 and when multiplied together equal 10)
-2 + -5 = -7
-2(-5) = 10
-2 and -5 are the two numbers
Answer:
a) the first negative number will be -1
b) A, B and C
c) 0.3
Step-by-step explanation:
Answer:
x = 36
Step-by-step explanation:
Rearrange the equations before solving simultaneously
4y = -5x - 28
2y = 7x - 24
now subtract
4y - 2y = 2y
5x - 7x = -2x
-28 - - 24 = -4
put these values together.
2y - 2x - 4.
2y = 2x + 4
y = 2x + 4 / 2
y = x + 2
substitute this into one of the 1st equations in the question.
5x = -4(x + 2) + 28
5x = -4x + 8 + 28
5x = -4x + 36
9x = 36
x = 4.
To find the x value of the max of
f(x)=ax^2+bx+c
when a is negative (if a is positive, we find the minimum)
we do
-b/2a is the x value
to find the y value, we just sub that x value back into the function
so
R(x)=-0.2x^2+60x+0
-b/2a=-60/(2*0.2)=-60/-0.4=150
x value is 150
make 150 units
sub back to find revenue
R(150)=-0.2(150)^2+60(150)
R(150)=-0.2(22500)+9000
R(150)=-4500+9000
R(150)=4500
max revenue is achieved when 150 units are produced yeilding $4500 in revenue
Answer:
C
Step-by-step explanation:
120 *.3 = 36
120-36 = 84
84*.3 = 25.2
84-25.2= 59.8
120*.6 = 72
120-72 = 48
59.8-48 = 10.8 C
