Answer:
y = ½x + 10
Step-by-step explanation:
Perpendicular lines have OPPOSITE MULTIPLICATIVE INVERSE RateofChanges[Slopes], so you need to have a slope of ½, like in the work shown below:
9 = ½[-2] + b
-1
10 = b
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Answer:
Maxine is incorrect.
Step-by-step explanation:
18 - 15 = 3 3/15 = 0.2 0.2(100) = 20.
20% is the percent of increase. 120% would be the total of both combined. Since we are only looking for how much more, it would be 20%.
4, 9, 14, 19, 24, 29.....
A)4+5n;504
B)5n-1; 499
C) 5n; 500
D) 4n+5; 405
Answer:
Option B is correct
; 499
Step-by-step explanation:
The nth term for the arithmetic sequence is given by:
....[1]
where,
is the first term
d is the common difference of two successive terms
n is the number of terms.
As per the statement:
4, 9, 14, 19, 24, 29.....
This is a arithmetic sequence.
Here, and d =5
Since,
9-4 = 5,
14-9 =5,
19-14 = 5 and son on....
Substitute the given values in [1] we have;
⇒
⇒
We have to find the 100th term in the given sequence.
For n= 100
⇒
Therefore, an expression to describe a rule of the sequence is, and the 100th term in the sequence is 499
The product of b and 6 is less than - 16.
Answer:
6b<-16
Step-by-step explanation:
The sentence 'The product of b and 6 is less than -16' translates to the inequality '6b < -16' in Mathematics.
In mathematics, translating a sentence into an inequality involves identifying the mathematical symbols and operations represented by the words in the sentence. In this case, 'the product of b and 6' translates to '6 * b' and 'is less than' translates to '<'. So, the sentence 'The product of b and 6 is less than -16' translates to the inequality '6 * b < -16' or '6b < -16' in simplified form.
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