Answer:
x = -0.3
Step-by-step explanation:
You can substitute y in 2x – 4y = 3, to solve for x.
How to solve for x:
2x - 4(3x) = 3 (Simplify)
2x - 12x = 3 (Simplify)
-10x = 3 (Divide by -10)
x = -0.3
Answer: 
Step-by-step explanation:
Given: A mirror with a parabolic cross section is used to collect sunlight on a pipe located at the focus of the mirror.
The pipe is located 8 inches from the vertex of the mirror.
Assume the vertex is at the origin.
If the parabola opens upwards
then the coordinates of focus= (0,8)
We know that equation of parabola with focus (0,a) and open upards is of the form (vertex=(0,0)) is
Substitute the value of a=8 in equation, we get
Therefore, equation of the parabola that models the cross section of the mirror is
43 over 100
4/10 is 40/100. 40/100 plus 3/100 is 43/100
Answer: growth factor = 1.022
Step-by-step explanation:
The expression 11(1.022)^t is an exponential expression where the rate of increase is 2.2%
What 1.022 represent in this equation is the growth factor of per capita gross domestic product (GDP) of the US
First, calculate for the volume of the cube before each edges are cut.
V = e³
where e is the length of each sides. Substituting the known value,
V = (4/5 cm)³ = 0.512 cm³
Then, calculate for the volume of each of the small cubes cut out from the corners.
V = (1/5 cm)³ = 0.008 cm³
Since there are 8 of these small cube, we multiply the volume by 8.
8V = 8(0.008 cm³) = 0.064 cm³
Then, subtracting the volumes will give us an answer of <em>0.448 cm³</em>
