Answer:
Step-by-step explanation: To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .
To start to solve this problem, we need to know what vertex form is. The vertex form of a parabola is. The vertex form of a parabola is a(x-h) + k, where k is the vertical shift, h is the horizontal shift, and a is the value that tells the stretch.
To start to solve this equation, we want to start to create a difference of two squares.
y = 2(x²+
x) We do this step to make the x² have a coefficient of 1
Now, we want to complete the square. To complete the square, we take 1/2 of the coefficient of x, and then square that.
1/2 * 1/2 = 1/4, and 1/4²=1/16
That means that we need to add 1/16 inside and outside the parenthesis.
We get:
y = 2(x²+1/2x + 1/16) - 1/16*2
We do -1/16*2 on the outside because since we added it inside the parenthesis, we need to take it away somewhere else (if that makes sense). The two is there because there is a two in front of the parenthesis.
We get:
y = 2(x+1/4)² - 1/8, by completing the square and simplifying, and this is the final answer.
It is 40 because 8*5 is 40
Answer:
Kilogram of chicken = 1
Kilogram of tilapia = 3
Step-by-step explanation:
Cost of chicken = 150 per kilo
Cost of tilapia = 100 per kilo
Number of kilos of each if total cost should not exceed 450
Let :
Number of kilo of chicken = x
Number of tilapia kilo = y
The constraint :
150x + 100y ≤ 450
We could choose some reasonable values of x and y then, test the constraint ;
If x = 1 and y = 3
150(1) + 100(3) = 450
Hence,
1 kilo of chicken with 3 kilos of tilapia offers the greatest combination of Number of kilograms of tilapia and chicken that could be purchased and still satisfy the maximum cost constraint.
By definition it is known that speed equals the distance between time.
Therefore, according to the definition, the last two options are the possible answers:
Let's evaluate the third option:
y = (3/2) * (1 / x)
x = 12
y = (3/2) * (1/12) = 3/24 = 1/8
The table is not fulfilled
Let's evaluate the fourth option:
y = (96 / x)
x = 12
y = (96/12) = 8
Yes, the table is met.
answer:
y = (96 / x)
