Let m = the amount books Rachel sold on Monday.
then t = the amount books Rachel sold on Tuesday.<span>
then w = </span><span>the amount books Rachel sold on Wednesday.
On Tuesday she sold twice as she did on Monday.
t = m * 2
On Wednesday she sold 6 fewer books than she did on Tuesday
w = t - 6
Now for the fun.
t = m * 2
w = t - 6
Substitute t for real value
w = m * 2 - 6
Now solve for m.
w - 6 = m * 2 <-- Transpose the 6
(w-6)/2 = m <-- Transpose the 2.
m = (w-2)/2 < The Law of Reflexive Property of Equality</span>
The number in brackets represents the percentage change
1.045
the 1 shows that it is an increase and the .045 shows the percent
for example 1.55 would be 55% increase and 1.555 would be 55.5% increase
Answer:
The LCM of 5, 6, and 9 is the product of all prime numbers on the left, i.e. LCM(5, 6, 9) by division method = 2 × 3 × 3 × 5 = 90.
Answer: i) 1 - 9x² - 12x
ii) 17 - 3x²
iii) - 20 + 10x² - x⁴
<u>Step-by-step explanation:</u>
g(x) = 3x + 2 h(x) = 5 - x²
i) h(g(x))
h(3x + 2) = 5 - (3x + 2)²
= 5 - (9x² + 12x + 4)
= 5 - 9x² - 12x - 4
= 1 - 9x² - 12x
ii) g(h(x))
g(5 - x²) = 3(5 - x²) + 2
= 15 - 3x² + 2
= 17 - 3x²
iii) h(h(x))
h(5 - x²) = 5 - (5 - x²)²
= 5 - (25 - 10x² + x⁴)
= 5 - 25 + 10x² - x⁴
= -20 + 10x² - x⁴
