Answer: options A, B and C are correct
Step-by-step explanation:
Ray's daily pay,P in dollars is given by the function, p(h) = 10h with h representing the number of hours that he worked on that day. If he worked c hours on Thursday and this is 3 hours more than he worked on Friday, then the following statement is true. We substitute c and c-3 for Thursday and Friday into the given function, p(h) = 10h
A) 10c -3 represents Ray's pay in dollars on Friday.
B) 10c represents Ray's pay in dollars on Thursday.
C) p(c ) - p(c-3) represents how much more Ray's pay was on Thursday than on Friday
Answer:
see explanation
Step-by-step explanation:
(a)
Given y is directly proportional to x then the equation relating them is
y = kx ← k is the constant of proportion
To find k use the condition when x = 3, y = 18 , then
18 = 3k ( divide both sides by 3 )
6 = k
y = 6x ← equation of proportion
(b)
(i)
when x = 12 , then
y = 6 × 12 = 72
(ii)
when y = 42
42 = 6x ( divide both sides by 6 )
7 = x
0 = f(x) = (x - r)(x - s) = x² - (r+s) + rs
We have r=1.5+√2, s=1.5 -√2 so r+s = 3 and
rs = (1.5+√2)(1.5 - √2) = 1.5² - (√2)² = 2.25 - 2 = 0.25
f(x) = x² - 3x + -.25
For integer coefficients we mulitply by 4,
g(x) = 4f(x) = 4x² - 12x - 1
Answer: 4x² - 12x - 1 = 0
