Answer:

Step-by-step explanation:
Given the system of equations:

You can pply Substitution method:
First you must solve for "y" from the first equation:

Therefore, the second and final step to solve the system of equations is to substitute the value of "y" into the second equation and solve for "x":

Step-by-step explanation:
Standard form of a quadratic is f(x) = ax² + bx + c.
To convert to vertex form, the simplest method is to find the x-coordinate of the vertex using h = -b/(2a).
Then, plug back into the equation to find the y-coordinate of the vertex. k = f(h).
Finally, the leading coefficient is the same as the standard form, a.
f(x) = a(x − h)² + k
Another method is to complete the square.
Answer:
Step-by-step explanation:
Branson and his sister Beatrice combined their allowance of $7 each. This means that the total amount they had is 7 + 7 = $14
They bought a movie for $12. The amount that they have left is
14 - 12 = $2
They bought $1 containers of fruit salad with the remaining money and split the containers evenly between them. This means that the number of containers that they bought is
2/1 = 2
If they split the containers evenly between themselves, then each person would get
2/2 = 1 container of fruit salad
Answer:
|p| ≤ 12
Step-by-step explanation:
The absolute value of p less than or equal to 12
Answer:
The answer is 527.5km^3 .
Step-by-step explanation:
The formula for cylinders is πr2h. (pie times twice the height)
3.14(12)(2)(7) = 527.52