1.) -4x-32 2.) -6x-3 3.) -3n-28 4.) -2x-7 5.) ??? 6.) 4b-2 (I couldn't figure out #5 sorry)
Answer:
y = 
OR y = 
Step-by-step explanation:
Our quadratic equation is: (5y + 6)² = 24.
The first step is to square root both sides:
5y + 6 = ±√24 = ±2√6
Now subtract 6 from both sides:
5y = ±2√6 - 6
Finally divide by 5 from both sides:
y = OR y =
And, those are the solutions to the equation.
Given:
The expression is
To find:
The expression which is not a correct way to rewrite the given expression.
Solution:
We have,
Using distributive property, we get
Using distributive property the given expression can rewritten as:
Only the expression in option A is not a correct way to rewrite the given expression because 
is not distributed to 
properly.
Therefore, the correct option is A.
Answer:
The price elasticity of demand is 0
Step-by-step explanation:
The demand function for monthly sales is given as:
q = 104e^-3p^2 + p
The price elasticity of demand E is obtained by differentiating q with respect to p
E = dq/dp = (-6p + 1) × 104e^-3p^2 +p =
When p = ¥200
E = (-6×200 + 1) × 104e^-3(200)^2 + 200 = -1199 × 104(0) = -1199 × 0 = 0
E = some event
C = complement of event E
Since the events are complementary, this means P(E)+P(C) = 1
We know that P(E) = 3*P(C) since "an event is three times as likely as its complement"
So we can replace P(E) with 3*P(C) and then isolate P(C)
P(E) + P(C) = 1
3*P(C) + P(C) = 1
4*P(C) = 1
P(C) = 1/4
The probability of the complementary event is 1/4
So the probability of the original event is 3/4 (three times 1/4)
Answer: 3/4
note: in decimal form, 3/4 = 0.75
