The quadratic equation is given by:
y = 3x² + 10x - 8
The standard equation of a parabola is given by:
y = ax² + bx + c
Where a, b, c are constants
At point (4, 80):
80 = a(4)² + b(4) + c
16a + 4b + c = 80 (1)
At point (-3, -11):
-11 = a(-3)² + b(-3) + c
9a - 3b + c = -11 (2)
At point (-1, -15):
-15 = a(-1)² + b(-1) + c
a - b + c = -15 (3)
Solving equations 1, 2 and 3 simultaneously gives:
a = 3, b = 10, c = -8
Therefore the quadratic equation becomes:
y = 3x² + 10x - 8
Find out more on quadratic equation at: brainly.com/question/1214333
Answer:
r = -3.2
Step-by-step explanation:
-0.6(r+0.2) = 1.8
Divide by -.6
-0.6/-.6(r+0.2) = 1.8/-.6
r+.2 = -3
Subtract .2 from each side
r+.2-.2 = -3-.2
r = -3.2
Answer:
Each car takes about 9 minutes to be washed.
3t shirts cost $18
1 shirt will cost 18/3t = 6/t
7t shirts will then cost = (6/t)*7t = 42
7t shirts will cost $42.00
Answer:
"24 pounds" is the appropriate answer.
Step-by-step explanation:
According to the question, the equation will be:
⇒ 
...(equation 1)
or,
⇒ 
...(equation 2)
Now,
By multiplying (equation 1) by 55 and (equation 2) by 1, we get
⇒ 
...(equation 3)
⇒ ...(equation 4)
From equation 3 and 4, we get
⇒ 
By putting the values of "y" in equation 1, we get
⇒ 
Thus the value of x be "24 pounds".
