Answer:
Step-by-step explanation:
6) Slope = 5
(5 , 40) ; m =5
y - y1 = m(x -x1)
y - 40 = 5 (x - 5)
y -40 = 5x - 25
y = 5x - 25 + 40
y = 5x + 15
7) slope = 2
m =2 ; (-2 , 0)
y - y1 = m(x -x1)
y - 0 = 2(x -[-2])
y = 2(x +2)
y = 2x +4
8) D) It takes 6 miles to travel a mile
Answer:
The slope of these coordinates is 0.
It is a horizontal line.
Step-by-step explanation:
Step by step...shows how to get -22/7
The statements true about the the function f(x) = 2x2 – x – 6 are-
- The vertex of the function is (one-quarter, negative 6 and one-eighth).
- The function has two x-intercepts.
<h3>What is vertex of parabola?</h3>
The vertex of parabola is the point at the intersection of parabola and its line of symmetry.
Now the given function is,
f(x) = 2x^2 – x – 6
Also, it is given that the vertex is located at (0.25, -6) and the parabola opens up, the function has two x-intercepts.
Comparing the given function with standard form,
f(x) = a x^2 bx + c
By comprison we get,
a = 2
b = -1
c = -6
Now, x-coordinate of vertex is given as,
x = -b/2a
put the values we get,
x = -(-1)/2*2
or, x = 1/4
Put the value of x in given function, so y-coordinate of the vertex is given as,
f(1/4) = 2(1/4)² - 1/4 - 6
= -49/6
= -6 1/8
Hence, The statements true about the the function f(x) = 2x2 – x – 6 are-
- The vertex of the function is (one-quarter, negative 6 and one-eighth).
- The function has two x-intercepts.
More about vertex :
brainly.com/question/86393
#SPJ1
Answer:
49 can be broken down into 7 * 7 so the prime factorization is simply 7².
