To find the inverse,
First, you would have to switch the domain and range. In other words, swap x and y:
h(x) = 3/ -x-2
y = 3/ -x-2
x = 3/ -y-2
Then, when you have this, simply solve for y:
x = 3/-y-2
x (-y-2) = 3/-y-2 (-y-2)
x(-y-2) /x= 3 /x
-y-2 = 3/x
-y = 3/x + 2
y = -3/x -2
So the inverse would be
h⁻¹(x)= -3/x -2
Let x = number of students then by proportion:-
5/7 = 185 / x
x = (7 * 185) / 5
= 259 Answer
Answer:
a =1
Step-by-step explanation:
2(a+7)-7=9
Add 7 to each side
2(a+7)-7+7=9+7
2(a+7)=16
Divide by 2
a+7 = 16/2
a +7 = 8
Subtract 7
a+7-7 = 8-7
a = 1
Answer:
13 quarters, 26 nickels.
Step-by-step explanation:
n will be number of nickels, q will be number of quarters, and we have 39 total coins
so n + q = 39 (number of nickels + number of quarters = 39 coins.
The problem also says there are twice as many nickels as quarters. so we can call the number of nickels n or we can call it 2q (2 times the number of quarters)
which means
n + q = 39
2q + q = 39
3q = 39
q = 13
and she has 2 times as many nickels as quarters... 2 x 13 = 26 nickels
LMK if you have questions.
If you want to double check the money,
n(0.05) + q(0.25) = 4.55 is the equation to use.
26(0.05) + 13(0.25) = 1.3 + 3.25 = $4.55
A) Diagram
Below is a sketch of the recctangular lawn (the inside rectangle) and the gravel border.
6 ft + 150 yards + 6 ft
-------------------------------
| |
| --------------------- |
| | | |
| | | | 6 ft + 80 yard + 6 ft
| | | |
| --------------------- |
| |
|------------------------------|
B) How many square feet of the gravel will surround the lawn?
Conversion: 1 yard = 3 feet
=> 80 yard = 80*3 feet = 240 feet
=> 150 yard = 150 * 3 feet = 450 feet
Area of the external rectangle = (6 ft + 240 ft + 6 ft) (6 ft + 450 ft + 6 ft) = 252 ft * 462 ft = 116,424 ft^2
Area of the internal rectangle = 240 ft * 450 ft = 108,000 ft^2
Area of the gravel border = 116,424 ft^2 - 108,000 ft^2 = 8424 ft^2
answer: 8424 ft^2
C) volume
volume = area of the base * depth
2 inches = 2/12 ft = 1/6 ft
=> volume = 8424 ft^2 * 1/6 ft = 1404 ft^3
answer: 1404 ft^3
C) cost
1 yard^3 = $ 30
1yard ^3 = (3 feet)^3 = 27 ft^3
=> cost = $ 30 / 27 ft^3
=> 1404 ft^3 * $30 / 27 ft^3 = $ 1560
answer: $ 1560
