3x^2 - 2x - 1
x + 2 Γ 3x^3 + 4x^2 - 5x - 2
3x^3 + 6x^2
-2x^2 - 5x - 2
-2x^2 - 4x
-x - 2
-x - 2
0
Therefore, solution is 3x^2 - 2x - 1
Answer:
x=6
Step-by-step explanation:
x+1
-------
x-6
The expression is undefined when the denominator is zero
x-6 =0
Solving for x
x+6-6 =0+6
x=6
Answer:
Step-by-step explanation:
The worth of a penny is 1 cent = 1/100 = $0.01
The worth of a nickel is 5 cents = 5/100 = $0.05
Let x represent the number of pennies that she could have. Lucy has some pennies and some nickels. She has a maximum of 15 coins. If lucky has 6.999999999999999, it means that
6.999999999999999 + x ≥ 15
x ≥ 15 - 6.999999999999999
x ≥ 8
If the 15 coins worth a minimum of $0.47combined, it means that
0.05(6.999999999999999) + 0.01x ≤ 0.47
0.35 + 0.01x ≤ 0.47
0.01x ≤ 0.47 - 0.35
0.01x ≤ 0.12
x ≤ 0.12/0.01
x ≤ 12
Therefore, the possible values for the number of pennies that she could have is 8 ≤ x ≤ 12
Answer:
$3.0375
Step-by-step explanation:
Original price of dinner = $2.25
If cost percentage of 35%, then the additional cost paid will be;
35% * 2.25
= 0.35 * 2.25
= $0.7875
Target price = Original price + additional cost
Target price = $2.25 + $0.7875
Target price = $3.0375