Hello!
The distributive property states, a(b + c) = ab + ac. Normally, we would simplify the values inside the parentheses first, and then multiply, but since these two values are not alike terms, we would need to use the distributive property.
-1/6(6y + 7) is also equal to -1/6(6y) + -1/6(7), so with that, we can simplify the expression.
-1/6(6y) + -1/6(7) can be simplified to -y + -7/6.
Therefore, using the distributive property, the answer is -y - 7/6.
You can remove the first plus sign to give:
-1.3 -4.9 [ because + x - = - ]
and by the same rule you can remove the the second plus sign to give
-1.3 -4.9 - 2.6
That means option b is out because it is positive.
straight away we can see that option D. equals the result, so it is in the running, so now can we eliminate c and a?
we can eliminate a because the minus ign outside the bracket multiplied by -4.9 inside the bracket produces + 4.9, which is not the answer, so that only leaves c.
once again, a plus sign outside the bracket does not produce -4.9 when muliplied by 4.9 inside the bracket inside option c, so we can eliminate option c.
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Answer (D)
This is the concept of arithmetic sequence. To get the recursive formula that models the total amount Jobie has in her account we use the arithmetic formula given by:
an=a+(n-1)d
where:
an=nth term
a=first term
n=number of terms
d=arithmetic difference
in our case
a=$325
d=$10
the initial amount was:
a0=325
the amount in the second month will be:
a1=325+10
the amount in the thrid month will be:
a2=a1+10
after n months the we shall have:
an=a_(n-1)+10
hence the recursive formula will be:
an=a_(n-1)+10
where:
n=1,2,3,4,...,
a0=325
Answer: 75
Step-by-step explanation:
