State the property that justifies the statement: If 4x + 9 = 15 and X=2y + 1,
1 answer:
Answer:
Substitution property of equality
Step-by-step explanation:
Given
and
Then
Required
State the property
From the list of options, (d) answers the question.
This is so because:
Substitution property of equality states that
If then
In other words, both can replace one another.
So if , then 2y + 1 can be substituted for x in
So:
becomes
<em>Hence, it is substitution property of equality</em>
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Answer:
The original number was 54.5.
Step-by-step explanation:
If a number is increased by 2.8%, then it is 102.8% of it's original number.
In mathematics, "of" in virtually all cases means "multiplied by".
Therefore, we do the opposite:
1. Convert to a decimal.
102.8% = 1.028
2. Divide by the decimal.
3. Round it to the nearest tenth.
54.47 rounds to 54.5.
Answer:
The explicit rule for the arithmetic sequence is given by:
......[1]
where,
is the first term
n is the number of terms and
d is the common difference for two consecutive terms.
As per the statement:
A recursive rule for an arithmetic sequence is:
The recursive formula for the arithmetic sequence is given by:
then;
On comparing we get;
d = -3
Substitute the given values in [1] we have;
⇒
Therefore, the explicit rule for this sequence is,