Answer:
y = (1/4)x² - (5/4)x + 1
Step-by-step explanation:
The x-intercepts of the quadratic equation are simply it's roots.
Thus, we have;
(x + 1) = 0 and (x - 4) = 0
Now, formula for quadratic equation is;
y = ax² + bx + c
Where c is the y intercept.
At y-intercept: (0,1), we have;
At (-1,0), thus;
0 = a(1²) + b(1) + 1
a + b = -1 - - - (1)
At (4,0), thus;
0 = a(4²) + b(4) + 1
16a + 4b = -1
Divide both sides by 4 to get;
4a + b = -1/4 - - - (2)
From eq 1, b = -1 - a
Thus;
4a + (-1 - a) = -1/4
4a - 1 - a = -1/4
3a - 1 = -1/4
3a = 1 - 1/4
3a = 3/4
a = 1/4
b = -1 - 1/4
b = -5/4
Thus;
y = (1/4)x² - (5/4)x + 1
Answer:
5824
Step-by-step explanation:
10% of 6400 =640
1% 0f 6400 = 64
640-64=576
6400-576= 5824
The cost of one adult ticket is $8 and cost of one child ticket is $8.
Step-by-step explanation:
Let,
Cost of one adult ticket = x
Cost of one child ticket = y
According to given statement;
3x+y=32 Eqn 1
7x+2y=72 Eqn 2
Multiplying Eqn 1 by 2

Subtracting Eqn 3 from Eqn 2

Putting x=8 in Eqn 1

The cost of one adult ticket is $8 and cost of one child ticket is $8.
Keywords: linear equation, elimination method
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Answer:
m=-7/3 I think thats the right answer
Y would equal 5x+24 because u can only combined the compounds together