Answer:
Commutative property of multiplication
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Step-by-step explanation:
Step-by-step explanation:
a) Let y = f(x) = 3x - 2x^2
f(-2) = 3(-2) - 2(-2)^2 = p
= -6 - 8
= -14
= p
f(2.5) = 3(2.5) - 2(2.5)^2 = q
= 7.5 - 12.5
= -5
= q
b) graphing
c) From the graph, you should be able to verify the following:
i) f(0.5) = 3(0.5) - 2(0.5)^2 = 1
ii) 0.5 = 3x - 2x^2 or x = 1.3, 0.2
iii) the maximum occurs at
f(0.75) = 1.125
d) the equation for the line of symmetry is x = 0.75
Answer: 687
Step-by-step explanation:
normally distributed
μ = 498
σ = 108
Top 4%
P(X > a) = 0.04
P(Z > a-498/108) = 0.04
Using the table attached, for the top 4%:
0.50 - 0.04 = 0.46
a-498/108 = 1.75
a-498 = 189
a = 687
The minimum score for the scholarship is 687.
Step-by-step explanation:
area=length x width
91=(x+2)(2x+3)
91=x^2+5x+6
x^2+5x-85=0
x=14.2 orx=-24.1
Answer:
aₙ= 47 -3n
Step-by-step explanation:
44, 41, 38, 35, 32
This is AP with 1st term of 44 and common difference of -3
nth term of this AP:
- aₙ= a₁+(n-1)d= 44+(n-1)*(-3)= 44 - 3n+3= 47-3n
