9514 1404 393
Answer:
f(x) = x³ -5x² +2x +8
Step-by-step explanation:
If the function has a zero of p, then it has a factor of (x-p). The polynomial of least degree will only have factors corresponding to the given zeros:
f(x) = (x -(-1))(x -2)(x -4)
= (x +1)(x -2)(x -4)
= (x² -x -2)(x -4)
f(x) = x³ -5x² +2x +8
Answer:

Step-by-step explanation:
Substitute the values for a and c into the expression
- 2c + a
= - 2×
+ 
= -
+ 
= -
+ 
= -
+ 
= 
Let the numbers be x and y
x + y = 57 ........(i)
x - y = 13 ........(ii)
Add equations (i) and (ii) to eliminate y
x + y + x - y = 57 + 13
x + x + y - y = 57 +13
2x = 70
x = 70/2 = 35
From (i) x + y = 57
35 + y = 57
y = 57 - 35
y = 22
The numbers are 35 and 22.
The slopes of perpendicular lines are negative reciprocals.The slope of the given line is 4.The slope of the perpendicular is -1/4.
Now we need to find the equation of a line that has slope -1/4 and passes through the point (4, 20).
We use the point-slope form of the equation of a line, where m = slope, and the point is (x1, y1).
y - y1 = m(x - x1)
y - 20 = -1/4(x - 4)
-4y + 80 = x - 4
x + 4y = 84
Answer:
8.7kilos
Step-by-step explanation:
70.22 divided by 8
hope this helps!