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:
√72
Decimal Form:
1.32287565…
Step-by-step explanation:
To subtract fractions, find the LCD and then combine.
Answer:
x l 0 2 4 6
Step-by-step explanation:
Answer:
Step-by-step explanation:
I'm not quite sure what you mean.... do you mean 8/74? If so, the answer would be 4/37, because anything lower that that would have a decimal.
2(x-5) + 4x - 7 = 7
2x-10 + 4x -7 -7 =0
6x - 24 = 0
6x = 24
x= 24/6
x= 4
Micah's answer is incorrect because X=4
