F(x) = x³ + 3x² - 10x - 24
The root factors must be the factors of 24.
1 x 24 ; 2 x 12 ; 3 x 8 ; 4 x 6.
The most probable roots would be -4, -3, -2, -1, 1, 2, 3, or 4.
Using synthetic division, one can find that the smallest root is -3.
(x - 3)(x² - 6x - 8). The quadratic can now be factored as (x + 2)(x - 4) and further factored as (x - 3)(x + 2)(x - 4).
The correct factors are: (x - 3) (x + 2) (x - 4)
Answer:
(x,y)--> (2,1), (4, -5), (7, -14), (9, -20), (11, -26)
Step-by-step explanation:
y = -3x + 7
substituting x-values in y= -3x + 7
x = 2
y= -3 × 2 + 7
= -6 + 7
= 1
x=4
y= -3 × 4 + 7
= -12 + 7
= -5
x=7
y= -3 × 7 + 7
= -21 + 7
= -14
x=9
y= -3 × 9 + 7
= -27 + 7
= -20
x=11
y= -3 × 11 + 7
= -33 + 7
= -26
I think PT=2.5
becuz the formula I used is pt X rt = st X qt
Here the topic is "functions." Roughly speaking, we have a box. Input enters at one end and output exists at the other. Now, if every input value x (such as 2) is doubled by the box, every output value is 2x: (0,0), (1,2), (2,4), etc.
We call this "doubling" a "constant rate of change.
If you plot the points given, you'll see that they all are on a straight line. That straight line has the slope 2: y = 2x. Again, 2 is the "constant rate of change" here.
If you drive at a steady 55 mph, you are covering 55 miles during every hour behind the wheel. Again, 55 is a "constant rate of change."
Equation A simplifies to 0 = 0. It is always true.
Equation B simplifies to 1 = -1 for a ≠ 0. It is never true.
Equation C simplifies to 2a = 0. It is true only for a = 0.
Equation D simplifies to 2a = 0. It is only true for a = 0.
The equation that is true for all values of "a" is ...
A. Equation A
