Knowing Maria used the ATM ten times and every time she uses it there is a 5 dollar fee (2 by the ATM company and 3 by the bank), multiply 5 and 10 to get the net charge as -50 dollars (because she is losing the money)
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Answer:
d. 50 m
Step-by-step explanation:
1. You have the following information given in the problem above:
- The speed of the puck is 20
and experiences no frictional force.
- The time is 2.5 seconds.
2. Then, to calculate the distance, you must apply the following formula:

Where
is the distance,
is the speed and
is the time.
3. Now, you must substitute values into the formula, as below:

4. Therefore, the result is:

Answer:
<em>(A). x ≥ </em>
<em> and x ≤ - </em>
<em> </em>
Step-by-step explanation:
5x - 4 ≥ 12 ⇔ 5x ≥ 16 ⇒ <em>x ≥ </em>
<em> </em>
<em>and </em>
12x + 5 ≤ - 4 ⇔ 12x ≤ - 9 ⇔ 4x ≤ - 3 ⇒ <em>x ≤ - </em>
Answer:
(3 x + 2) (5 x - 4)
Step-by-step explanation:
Factor the following:
15 x^2 - 2 x - 8
Factor the quadratic 15 x^2 - 2 x - 8. The coefficient of x^2 is 15 and the constant term is -8. The product of 15 and -8 is -120. The factors of -120 which sum to -2 are 10 and -12. So 15 x^2 - 2 x - 8 = 15 x^2 - 12 x + 10 x - 8 = 5 x (3 x + 2) - 4 (3 x + 2):
5 x (3 x + 2) - 4 (3 x + 2)
Factor 3 x + 2 from 5 x (3 x + 2) - 4 (3 x + 2):
Answer: (3 x + 2) (5 x - 4)