Answer:
a. a = 1, b = -5, c = -14
b. a = 1, b = -6, c = 9
c. a = -1, b = -1, c = -3
d. a = 1, b = 0, c = -1
e. a = 1, b = 0, c = -3
Step-by-step explanation:
a. x-ints at 7 and -2
this means that our quadratic equation must factor to:
FOIL:
Simplify:
a = 1, b = -5, c = -14
b. one x-int at 3
this means that the equation will factor to:
FOIL:
Simplify:
a = 1, b = -6, c = 9
c. no x-int and negative y must be less than 0
This means that our vertex must be below the x-axis and our parabola must point down
There are many equations for this, but one could be:
a = -1, b = -1, c = -3
d. one positive x-int, one negative x-int
We can use any x-intercepts, so let's just use -1 and 1
The equation will factor to:
This is a perfect square
FOIL:
a = 1, b = 0, c = -1
e. x-int at 
our equation will factor to:
This is also a perfect square
FOIL and you will get:
a = 1, b = 0, c = -3
Answer:
Option D.
3 equations with 3 variables
Step-by-step explanation:
The coordinates of a point in space must necessarily have 3 components. One to describe the distance on the x axis, another to describe the distance on the y axis to the point, and a third to describe the distance on the z axis.
If we have three variables, then 3 equations are needed to solve the system. With less than 3 equations it would be impossible to solver the system.
Therefore the correct answer is option D.
3 equations with 3 variables
Answer:
<h2>The range: {-6, -10, -14, -18}</h2>
Step-by-step explanation:
Put the values of x from the domain to the equation of a function y = 4x - 2:
for x = -1
y = 4(-1) - 2 = -4 - 2 = -6
for x = -2
y = 4(-2) - 2 = -8 - 2 = -10
for x = -3
y = 4(-3) - 2 = -12 - 2 = -14
for x = -4
y = 4(-4) - 2 = -16 - 2 = -18
Answer:
y = x^2 (x - 2) = x^3 - 2 x^2
dy/dx = 3 x^2 - 4 x
At x = 3 dy/dx = 3 * 9 - 4 * 3 = 15 The slope (gradient) of the curve
Answer:
i don't have the table so no one can answer
Step-by-step explanation:
