Answer: The vertical stretch of 5 in the equation y = x is defined by 
.
Explanation:
The given equation is,
It can be written as,
The function is defined as 
.
If 
, then the function has a vertical stretch by a factor of S units.
If 
, then the function has a vertical shrink by a factor of S units.
Since we have to find the vertical stretch of 5 in the equation y = x.
The below figure shows the graph of y = x and .
Answer:
Step-by-step explanation:
<u>First, Let's solve for x in -2x+2y=-4:</u>
<u>Subtract 2y from both sides:</u>
<u>Divide both sides by -2:</u>
<u>Now, we'll substitute x=y+2 to 3x+3y=-18:</u>
→ let x=2+y
<u>Simplify:</u>
<u>Now, let's solve for y in 6+6y=-18</u>
<u>Subtract 6 from both sides:</u>
<u>Divide both sides by 6:</u>
<u>Now, substitute y=-4 into x=2+y:</u>
→ let y = -4
Therefore, x=-2 and y=-4.
<u>_____________________________________</u>
Answer:
The Earth's orbit makes a circle around the sun. At the same time the earth orbits around the sun, it also spins. In science, we cal that rotating on its axis. Since the earth orbits the sun AND rotates on its axis at the same time we experience seasons, day and night, and changing shadows throughout the day.
Enrolement increased by 30% that means last year=100%
incease of 30%=30+100=130% now
now=182
percent means parts out of 100 so
130%=130/100=13/10
182=13/10 of x (x represents the number last year)
of means multipy so
182=13/10 times x
multiply both sides by 10/13 to clear fraction
182 times 10/13=x=140
140 students last year
