Answer:
Step-by-step explanation:
The parent function is
First it is asked to reflect over the y axis so using the rule
Our function looks like
Then we are asked to shift the equation to the right 7. When shifting to the right or move the x axis, instead of adding 7 we would want to subtract 7 since the x axis is the independent variable and we must respect the y axis which is the dependent so using the rule
When subtracting a 7 it looks like now
where h is the number we move . Now we are asked to apply a vertical stretch of 12. Since vertical stretch refers to the y axis, we are just going to multiply the function by 12 using the rule
where a is the vertical stretch. So now it would look like
Answer:
1/6
Step-by-step explanation:
The gradient of the line segment is the same as slope
m = (y2-y1)/(x2-x1)
= ( -4 - -5)/( 2 - -4)
= (-4+5)/( 2 +4)
1/6
Y = mx + b
m: slope
b: y -intercept
so the y intercept is -4 or (0,-4) as a coordinate
Answer:
20 + 5m = 140
$24 on each day of the last five days
Step-by-step explanation:
Total amount to spend in 6 days = $140
He spent:
First day = $20
Balance = Total amount to spend - Amount spent on first day
= $140 - $20
= $120
He spent the same amount of money during the next five days.
Amount spent each day in the last 5 days = Balance / 5 days
= 120 / 5
= 24
Amount spent each day in the last 5 days = $24
The equation is
20 + 5m = 140
Where,
m = amount spent in the last five days
20 + 5m = 140
5m = 140 - 20
5m = 120
m = 120 / 5
m = $24
