<u>QUESTION 1</u>
The given function is
If 
decreases by 
, then the new value is 
.
We need to find the value the function at which is
This simplifies to
The increment in 
is given by;
This simplifies to,
This further simplifies to
Therefore the corresponding increment in is 
.
<u>QUESTION 2</u>
The given function is
.
If increases by 
, then the new value of is 
.
The increment in 
is given by
We expand the brackets to get,
We simplify further to obtain,
Therefore the corresponding increment in is 
.
Answer:
The answer is below
Step-by-step explanation:
From the image attached we can see that the width of the garden is 6 ft. The length of the garden is the slanting side of the triangle (hypotenuse).
Let x be the length of the garden. The height of the triangle = 40 ft - 15 ft = 25 ft.
The base of the triangle = 80 ft - 75 ft = 5 ft.
The length of the garden is gotten using Pythagoras:
x² = 25² + 5²
x² = 650
x = 25.5 ft.
The area of the garden = length * width = 25.5 * 6 = 153 ft²
Hence the approximate area = 160 ft²
A % is out of a hundred, so you don't need the %/100. Then, you wouldn't do cross multiplication, you would just divide 15/27. Remember, it would be 15/27 because it's percent markup, not the percent the price increased by. So, doing that simple calculation on a calculator you get 0.5555. This converted to a percent is just moving the decimal to the right twice, or multiplied by a 100. That would give you 55.55%, and that's your answer. Make sense?
5) 1.1802 x 10^6
6) 0.00016
7) 4.3 x 10^-3
8) 2,835,000
Answer:
1.25
Step-by-step explanation:
-12x = -15
12x = 15
x = 15/12 = 1 3/12 = 1.25
