Answer:
31 + 4y
Step-by-step explanation:
4(6+y)+7
Expand the brackets.
24+4y+7
Rearrange.
4y + 24 + 7
Add the like terms.
4y + 31
Answer:
550
Step-by-step explanation:
9.4/100 multiplied by 607 is 57
subtract this from 607 and the answer is 549.9, to the nearest dollar is 550
The <em>correct answer</em> is:
A) There is a vertical shift of n units.
Explanation:
When a parent function is transformed, each type of transformation results ina different change in the graph.
The parent function in this question is f(x) = sin(x).
Adding n units to the end of this function would result in f(x) = sin(x) + n.
When a function is transformed by adding a constant to the end of a function results in a vertical shift by that number of units. In this case, it would be a vertical shift n units.
<span>let x = the original no. of students
then
(x+10) = the actual no. that went on the trip
:
= the original cost per student
and
= the actual cost
:
Original cost - actual cost = $12.50
- = 12.50
multiply equation by x(x+10)
x(x+10)* - x(x+10)* = 12.50x(x+10)
Cancel the denominators
1500(x+10) - 1500x = 12.5x(x+10)
1500x + 15000 - 1500x = 12.5x^2 + 125x
Combine on the right to form a quadratic equation
0 = 12.5x^2 + 125x - 15000
Simplify, divide equation by 12.5
x^2 + 10x - 1200 = 0
You can use the quadratic formula; a=1; b=10; c=-1200, but this will factor to
(x + 40(x - 30) = 0
The positive solution is what we want here
x = 30 students in the original group
Check this by finding the cost per student for each scenario
1500/30 = $50.00; original cost
1500/40 = $37.50; actual cost
---------------------
saving: $12.50</span>
Answer: For part A, the formula for the employee's pay is <em><u>P</u></em>ay = hourly <em><u>r</u></em>ate times <em><u>h</u></em>ours . P = r × h The equation is P = 13h To find how many hours are required to earn a given amount, fill in given values and solve for the missing variable . 7800 = 13h h= 7800/13 600 hours needed.
For part B, the formula for this employee's pay is <em><u>P</u></em>ay = <u><em>B</em></u>onus + hourly <em><u>r</u></em>ate times <em><u>h</u></em>ours . P = b + rh
330 = 90 + r(24) 330 - 90 = 24r . 240 = 24r 240/24 = r . r = 10
The employee's pay rate is $10 per hour.
