(-4-(-7)) / (1-7) = (3) / (-6) = -1/2 = slope
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
7.25(40) + (7.25 * 1.5) * 2.5 = 290 + 10.875(2.5) =
290 + 27.1875 = 317.1875 rounds to 317.19
Answer:
318 in^2
Step-by-step explanation:
Area of a rectangle = length x width
16 x 13 1/4
16 x 53/4 = 212 in^2
10 1/3 + 10 1/4
Answer: 1) -5.8
Step-by-step explanation:
in order to solve the problem you have to put it together:
9x-5 = 14x+24
then go from there : subtract 24 on both sides , then subtract 9x on both sides , that’ll leave you with : -29 = 5x
so from there we divide , giving us x= -5.8
