Answer:
q = 1 and p = 3
Step-by-step explanation:
Since we are already given the value of x and y, then it will be easy to get what p and q is. What is needed to be done is just to insert the values of x and y in both equations
For equation 1
2x -py = 5
insert x = q and y = -1
2(q) -p(-1) = 5
2q + p = 5
for the second equation, we do same
4x + 5y + q = 0
insert x = q and y = -1
4(q) + 5(-1) + q = 0
4q -5 + q = 0
5q = 5
q = 5/5 = 1
Recall from above, 2q + p = 5
Insert q = 1, we have ;
2(1) + p = 5
2 + p = 5
p = 5-2
p = 3
Equation of the parabola: y = ax^2 + bx + c. Find a, b, and c.
x of axis of symmetry:
x
=
−
b
2
a
=
3
-> b = -6a
Writing that the graph passing at point (1, 0) and point (4, -3):
(1) 0 = a + b + c -> c = - a - b = - a + 6a = 5a
(2) -3 = 16a + 4b + c --> -3 = 16a - 24a + 5a = -3a --> a = 1
b = -6a = -6; and c = 5a = 5
y
=
x
2
−
6
x
+
5
Check with x = 1: -> y = 1 - 6 + 5 = 0. OK
Answer:
one third
Step-by-step explanation:
9514 1404 393
Answer:
A∩B = {2, 23}
Step-by-step explanation:
The intersection of two sets is the list of elements common to both.
2 is found in both
12, 19 are only in set A
23 is found in both
29 is only in set A
34, 40, 45 are only in set B
The intersection of the two sets is {2, 23}.
Answer:
824.10
Step-by-step explanation:
