Answer: 4r - 9 > 7, r= 4
Step-by-step explanation: Add 9, 4r > 16, divide by 4 to get the value of ‘r’ by itself
Answer:
A
Step-by-step explanation:
(f - g)(x) = f(x) - g(x)
=
- 
Since both fractions have a common denominator of 3x, then subtract the numerators leaving the denominator, that is the numerators simplified
2x + 6 - (
- 8)
= 2x + 6 -
+ 8 = 2x -
+ 14
Hence
f(x) - g(x)
=
→ A
Answer: 1.5
Step-by-step explanation:
Sigma notation of sequence −10, −13, −16, … is 
<h3><u>Solution:</u></h3>
Need to determine the sigma notation for the following sequence
−10, −13, −16, …
Let's try to build a generic formula for given sequence
The given sequence is in Arithmetic progression where first term = -10 and common difference = -3
<em><u>The formula for arithmetic progression is given as:</u></em>

Where,
is the nth term in the sequence
is the first term in the sequence
d is the common difference between the terms
Here in this sequence
= -10 and d = -3

So generic formula for a term is – ( 3n + 7 )

And so on
<em><u>Using sigma notation for arithmetic sequence:</u></em>

So for first six terms value of n will vary from 1 to 6 and in sigma notation it can be represented as

Answer:
119 + 61 = 180
Step-by-step explanation:
119 + x = 180
x = 61