The cost of the carpet prior to taxes is $1,212.64
answer
45 minutes
explanation
using the equation C(m) = 0.1m + 1, C(m) is the cost of the phone call (5.50)
5.50 = 0.1m + 1 subtract 1 from both sides
4.5 = 0.1m divide both sides by 0.1
45 = m
m is the number of minutes, so 45 minutes
Answer:
120 - x - 9 past 10am
Step-by-step explanation:
Call “x” the number of minutes it is before 12 noon. Measure time in minutes from 10am, so that 12 noon is 2*60 = 120 minutes after 10 am. The current time is 120 - x after 10 am. Nine minutes ago it was 120 - x - 9 past 10am.
x = 5 is not an extraneous solution of the equation.
✓(2x + 6) - ✓(x - 1) = 2
✓(2x + 6) = 2 + ✓(x - 1)
Squaring both the sides of equation, we get
(✓(2x + 6))² = (2 + ✓(x - 1))²
2x + 6 = (2)² + (✓(x - 1))² + 2(2)(✓(x - 1))
2x + 6 = 4 + x - 1 + 4(✓(x - 1))
x + 3 = 4✓(x - 1)
Squaring again on both the side of the equation, we get
(x + 3)² = (4✓(x - 1))²
x² + 3² + 2×3×x = 16(x - 1)
x² + 9 + 6x = 16x - 16
x² - 10x + 25 = 0
By applying middle term splitting on equation (1), we get
x² - 5x - 5x + 25 = 0
x(x - 5) -5(x - 5) = 0
(x - 5) (x - 5) = 0
x = 5 and 5.
Check for extraneous solutions by putting value of x in original equation -
✓(2×5 + 6) - ✓(5 - 1) = 2
✓16 - ✓4 = 2
4 - 2 = 2
2 = 2
LHS = RHS
x = 5 is not an extraneous solution of the equation.
Know more about roots of equation -
brainly.com/question/4098861
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Answer:
7√15
Step-by-step explanation:
32²-17²=735
√735
