Answer:
x=0, y=-2
Step-by-step explanation:
Let x=3y+6 be equation 1
and 2x-4y=8 be equation 2
sub equation 1 into equation2,
2(3y+6)-4y=8
6y+12-4y=8
2y=-4
y=-2
sub y=-2 into equation 1,
x=3(-2)+6
x=0
sub is an abbreviation for substitute
False it does have a solution or solutions
Given:
Consider the below figure attached with this question.
The value in the given figure are:
![r=0.9713905701](https://tex.z-dn.net/?f=r%3D0.9713905701)
To find:
The exponential regression equation for the given values (Rounded to three decimal places).
Solution:
The general form of exponential regression equation is:
...(i)
Where, a is the initial value and b is the growth/decay factor.
The given values are:
![b=2.507467975](https://tex.z-dn.net/?f=b%3D2.507467975)
Round these numbers to three decimal places.
![b\approx 2.507](https://tex.z-dn.net/?f=b%5Capprox%202.507)
Putting
in (i) to find the exponential regression equation.
![\hat{y}=0.209\cdot 2.507^x](https://tex.z-dn.net/?f=%5Chat%7By%7D%3D0.209%5Ccdot%202.507%5Ex)
Hence, the correct option is C.
If i am correct it would be A cuz you have 12 side so it would double the verticles
The volume of the fish tank is 408 in³
To solve the volume of the fish tank, we need to understand what is the volume of plane shapes.
<h3>What is the volume of plane shapes?</h3>
The volume of plane shapes resembles a 3-dimensional space showing the area enclosed by the shape.
From the figure given:
The figure can be differentiated into two shapes;
The volume of the rectangle is known as:
- = Length × Breadth
- = 7 inches × 6 inches
- = 42 inches²
The volume of the triangle is:
- = 1/2 × base × height
- = 1/2 × 3 × 6
- = 9 inches²
The total volume of the base of the fish tank now is:
- = 42 inches² + 9 inches²
- = 51 inches²
Now, the volume of the fish tank is:
- = Height × base of the fish tank
- = 8 inches × 51 inches²
- = 408 in³
Learn more about the volume of plane shapes here:
brainly.com/question/20475473