Answer:
is perpendicular to and parallel to
Step-by-step explanation:
First, convert the equation to standard form so that y is isolated.
x + 5y = 6 --> x - 6 = -5y (divide both sides by -5) -->
A perpendicular line will have a slope that is the opposite reciprocal of the original slope (meaning you flip the numerator and denominator then make it negative).
is perpendicular to which simplifies to 5.
A parallel line will have the same slope, but the y-intercept will be different. It can be pretty much any number as long as the original slope is used in the new equation.
is parallel to just like .
The answer is option c (-1,0)
Solving the equation you get that the zeros of this are approximately
x ≈ -2.8019
x ≈ -1.4450
x ≈ 0.24698
Then the function has three real roots, but none of them is within the range (-1,0)
Below is a graph of the function.
Answer:
slope = m = (0--3)/(14--4) = 3/18 = 1/6
y=mx + b
y =(1/6)x + b
0= (1/6)14 + b
b = - 14/6 = - 7/3
y = (1/6)x - 7/3
or
6y-x = -14
Step-by-step explanation:
Answer:
the graph of the function f(x) = −3x2 − 3x + 6 is shown. Which statements describe the graph? Select three options.
On a coordinate plane, a parabola opens down. It goes through (negative 2, 0), has a vertex at (negative 0.5, 6.75), and goes through (1, 0).
The vertex is the maximum value.
The axis of symmetry is x = negative one-half.
The domain is all real numbers.
The range is all real numbers.
The function is decreasing from (−∞, 6.75).
Step-by-step explanation: