The solution is where both lines intersect. First find the x-coordinate which we will find by going to the left two units. That means x = -2. Now going up one unit, which gives us y = 1
(-2, 1)
First we need to factor the left side. Since it is a perfect square (as is the process with completing the square, we know we can take half of the middle number along with x to be in the two parenthesis.
(x - 4)(x - 4) = 25
Now we simplify to show it as a square.
(x - 4)^2 = 25
Next we take the square root of both sides
x - 4 = +/- 5
Note that we have plus or minus 5. This is because either square would give us positive 25. Now we add 4 to both sides
x = 4 +/- 5
4 + 5 = 9
4 - 5 = -1
2.876 is rational. It can be expressed as 2876/1000.
-(sqrt(16)) is rational. It can be expressed as -4/1.
3pi is irrational. Pi cannot be expressed as a fraction.
23/40 is rational. It can be expressed as 23/40.
Have a nice day!
Answer:
The value of y for x = 8 is 60 .
Step-by-step explanation:
Given expression as :
For x = 2 , y = 15
Let the equation be written with constant k'
So, y = k x
Or, k = 
∴ k = 
<u>Now, again </u>
For x = 8
equation can be written as
y = k x
Or, y =
× 8
Or, y = 
∴ y = 15 × 4
I.e y = 60
Hence The value of y for x = 8 is 60 . Answer
Answer:
price = x * 0.2
or
price = x * 0.454 * 0.2
Step-by-step explanation:
In this case we must know either the mass of the cake or its volume.
Given the case that we know the mass of the cake, it would be:
price = x * 0.2
where x is the mass of the cake in ounces, that is to say if for example a cake has a mass of 10 ounces, it would be:
price = 10 * 0.2 = 2
which means that each cake costs $ 2
Given the case of the volume, we must first multiply the density by this volume in order to calculate the mass and finally the price.
price = x * 0.454 * 0.2
where x is the volume of the cake in cubic inches, if for example the volume is 10 cubic inches it would be:
price = 10 * 0.454 * 0.2 = 0.908
which means that each cake costs $ 0.9