Answer:
The x-coordinate gives the solution of the original equation.
Step-by-step explanation:
Let us assume that the original equation is 2x = x + 5 ........... (1) and the solution that this equation has will be x = 5.
But, if we solve the equation by graphing each side as a separate line i.e. y = 2x and y = x + 5, then solving those two equations we get the solution x = 5 and y = 10.
Therefore, the x-coordinate i.e. x = 5 gives the solution of the original equation (1). (Answer)
Answer:
$82
Step-by-step explanation:
If the coat is 1/3 off then you pay 2/3 of the price. To find a sale price, multiply the cost by 2/3.
123(2/3) = 246/3 = 82
221
I believe don’t quote me on that
Answer:
Step-by-step explanation:
Given
Required
Determine the inverse
Replace g(n) with y
Swap positions of x and y
Make y the subject
Replace y with g'(n)
Answer:
Answer:
y = 16/25x³
Step-by-step explanation:
If y is inversely proportional to a^3, this is expressed as;
y∝1/a³
y = k/a³ where k is the proportionality constant
Given a=2, y=10, then 10 = k/2³
k = 10*2³
k = 80
Substituting k = 80 back into the formula;
y = 80/a³ ............. 1
Similarly, if a is directly proportional to x, then a ∝ x i.e a = kx
If x=4, a=20 then;
20 = 4k
k = 20/4
k = 5
Substituting k = 5 back into the formula;
a = 5x ....... 2
Substitute equation 2 into 1;
y = 80/a³
y = 80/(5x)³
y = 80/125x³
y = 16/25x³
Hence the formula for y in terms of x is y = 16/25x³
Step-by-step explanation: