Answer: 2.1 Find the Vertex of y = x2-17x-50
Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 1 , is positive (greater than zero).
Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.
Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.
For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is 8.5000
Plugging into the parabola formula 8.5000 for x we can calculate the y -coordinate :
y = 1.0 * 8.50 * 8.50 - 17.0 * 8.50 - 50.0
or y = -122.250
Step-by-step explanation:
Answer:
Pick A
Step-by-step explanation:
Step by step, hope this helps
Answer:
Step-by-step explanation:
Let the age of of Mrs brook be x
Age of her son be y
If Mrs.Brooks lacks 7 years from being five times as old as her son, this means;
x = 5y - 7 ..... 1
six years from now;
Mrs brooks age = x + 6
sons age = y + 6
If Six years from now she will lack 3 years from being three times as old as her son, this means;
x+ 6 = 3(y+6) - 3
x+6 = 3y + 18 - 3
x+6 = 3y + 15 .... 2
substitute 1 into 2;
(5y - 7)+6 = 3y + 15
5y - 1 = 3y + 15
5y-3y = 15 + 1
2y = 16
y = 8
substitute y = 8 into equation 1;
x = 5y - 7
x = 5(8)-7
x = 40-7
x = 33
Hence the mrs brook is 33 years old
her son is 8 years old
Answer: 17 goes into 527 31 times so the answer is 31
Step-by-step explanation:
