A=xy
If there is 10% increase in x then,
New value of x = x + 10%of x =1.1x
similarly for y
New value of y after increase= 1.1 y
New value of A after increase in x and y = 1 .1x × 1.1 y= 1.21xy
now
increase amount in A= New value of A - old value of A
=1.21xy - xy= 0.21xy
percentage increase in A= (0.21xy÷xy )× 100= 21%
9514 1404 393
Answer:
x-intercept: (16, 0)
y-intercept: (0, 8)
Step-by-step explanation:
Each intercept is found by setting the other variable to zero and solving for the variable of interest.
I like to find the intercepts from this form because it basically involves dividing the constant by the variable coefficient.
<u>x-intercept</u>
y = 0, so we have 4x = 64 ⇒ x = 64/4 = 16
x-intercept is (16, 0)
<u>y-intercept</u>
x = 0, so we have 8y = 64 ⇒ y = 64/8 = 8
y-intercept is (0, 8)
_____
<em>Additional comment</em>
There is a form of the linear equation called the "intercept form" that looks like this:
x/a +y/b = 1
where 'a' is the x-intercept and 'b' is the y-intercept.
You can get this form by dividing the standard form equation by the constant. Here, that gives ...
4x/64 +8y/64 = 1
x/16 +y/8 = 1
This is nice because it gives both intercepts with one operation (divide by the constant). It's easy enough to do, but not always easy to explain. This form of the equation of a line is rarely seen.
1) "x2" was replaced by "x^2". 1 more similar replacement(s).
Raising zero to a power is not allowed
I believe that B is the answer bc -2-1 is -3 but with absolute value it it's 3, whish is the correct distance
Answer:
aₙ= -2n²
Step-by-step explanation:
<h2><u>Solution 1:</u></h2>
The sequence:
The difference between the terms:
- a₁= -2
- a₂= a₁ - 6 = a₁ - 2*3= a₁- 2*(2²-1)
- a₃= a₂ - 10 = a₁ - 16= a₁ - 2*8= a₁ - 2*(3²-1)
- a₄= a₃- 14= a₁ - 30= a₁ - 2*15= a₁ - 2*(4² -1)
- ...
- aₙ= a₁ -2*(n²-1)= -2 -2n² +2= -2n²
As per above, the nth term is: aₙ= -2n²
<h2><u /></h2><h2><u>Solution 2</u></h2>
The sequence:
- -2, -8, -18, -32, -50
- -2*1, -2*4, - 2*9, -2*25
- -2*1², -2*2², -2*3², -2*4², -2*5², ..., -2*n²
- aₙ= -2n²
