Answer: The first one is "translated 4 units down". The second one is "vertically stretched by a factor of 4".
Recall that y = f(x). When we say f(x)-4, we really mean y-4 so that means each y coordinate of all the points on the graph have been reduced by 4. Visually this shifts the graph down 4 units. A translation in geometry is the technical term for shifting.
When we say 4*f(x), we are multiplying each y coordinate by 4. A point like (1,2) turns into (1,8) for instance. If you apply this to every point on the graph, then the curve is stretched vertically to be 4 times taller than it usually is; which is an informal way of saying "vertically stretched by a factor of 4"
Hey there!
<h3>2x + 3 + (-x) </h3><h2>Combine Like Terms </h2><h3>2x + 3 + (-x) </h3><h3>( 2x + (-x) ) + 3 </h3><h3 /><h2>Answer: </h2><h3>x + 3 </h3>
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Answer:
The common difference of the progression is 3.
Step-by-step explanation:
Given:
First term of the AP = (a) = -8
Ratio of 7th and 9th term = 5:8
So,
General term of an AP, Tn= a+(n-1)d
Where 'd' is the common difference.
equation...(i)
equation...(ii)
According to the question.
⇒ 
...cross-multiplying the terms.
⇒ 
⇒ 
⇒ 
...subtracting 40d and adding 64 both sides.
⇒ 
⇒ 
...dividing both sides with 3.
So the common difference of the progression is 'd' = 3.
$2,730 rounded to the nearest hundred = $2,700
$11,019 rounded to the nearest hundred = $11,000
$11,000 + $2,700 = $13,700 combined
