a) The next three terms are -9, -11, and -13
b) This is an arithmetic sequence
c) An arithmetic sequence is when the difference between one term and the next remains constant
d) We can make the equation y=-2x+1 where x is the term number, then we plug in 27 for x and solve for y
y=-2(27)+1
y=-54+1
y=-53
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Answer:
9(2p-4)
Step-by-step explanation:
To factor an expression, find the GCF of each term. 18p and 36 share in common the factor 9. Divide each term by 9 to get the factor.
18p - 36 = 9(2p-4)
Answer:
i d k
Step-by-step explanation:
Answer:
3 hours
Step-by-step explanation:
Let's express number of hours required for servicing as: x
The auto repair on First Street charges a flat fee of $15 plus $10 an hour for servicing a car.
This is expressed mathematically as:
$15 + $10 × x
= 15 + 10x
The auto repair shop on Second Avenue charges no flat fee but $15 an hour for servicing a car
This is expressed as:
$15 × x
= 15x
The number of hours Malik's car needs to be serviced in order to be able to pay the same amount of money at both shops is calculated as:
Charges by Auto repair shop on First street = Charges by Auto repair shop on Second Avenue
15 + 10x = 15x
15 = 15x - 10x
15 = 5x
5x = 15
x = 15/5
x = 3 hours
Therefore, the number of hours Malik's car needs to be serviced in order to be able to pay the same amount of money at either auto repair shops is 3 hours
