Answer:
B. (-0.73, 0), (2.73, 0)
Step-by-step explanation:
vertex form of a parabola
y = a(x-h)^2 +k
y = a(x-1)^2 -9
substitute the point in to find a
-6 = a (0-1) ^2 -9
-6 = a *1 -9
add 9 to each side
-6+9 = a -9+9
3 =a
y = 3(x-1)^2 -9
FOIL
y = 3(x-1)(x-1) -9
y = 3(x^2-2x+1) -9
distribute
y = 3x^2-6x+3-9
combine like terms
y = 3x^2 -6x -6
factor out 3
y= 3(x^2 - 2x -2)
set = 0
0 = 3(x^2 - 2x -2)
x^2 - 2x -2 =0
using the quadratic formula
-b±sqrt(b^2 -4ac)
----------------------
2a
-(-2) ± sqrt(2^2 - 4(1)(-2))
-------------------------------
2(1)
2 ± sqrt(4+8)
------------------
2
2±sqrt(12)
---------------
2
2±2sqrt(3)
----------------
2
1±sqrt(3)
roots: 2.73, and -.73
Answer:
the equation for the function m(t) point-stope form will be:
Hence, option D is correct.
The graph is attached below.
Step-by-step explanation:
Given
Point (10, 25)
Slope m = 2.5
To determine
Write the equation for the function m(t) point-stope form.
We know that the point-slope form of the line equation is
where
- m is the slope of the line
In our case:
so
substituting the values m = 2.5 and the point (10, 25) in the equation
Therefore, the equation for the function m(t) point-stope form will be:
Hence, option D is correct.
The graph is attached below.
Answer:
see below
Step-by-step explanation:
Volume = Length x width x height
a) Box 1 V = 3x · x · 2x = 6x³
b) Box 2 V = 2x · 4x · x = 8x³
c) Add the volumes 6x³ + 8x³= 14x³
d) plug 6 in for x
14(6³) = 3,024 units
Answer:
A
D
Step-by-step explanation:
because first street intersect 2 and 3
...
and second street is parallel to third street
