<span>Part
A- Explain why the x-coordinates of the points where the graphs of the
equations y=2^-x and y=8^x+4 intersect are the solutions of the equation
2^-x=8^x+4
Because the intersection point has the a unique pair of (x,y) coordinates; such coordinates x,y belong to both equations.
Part B- Make tables to find the solution to 2^-x = 8^x+4. Take the integer values of x between -3 and 3.
x 2^ (-x) 8^(x + 4) <------ this is how I understand the right side
- 3 2^3 = 8 8^(1) = 8
- 2 2^2 = 4 8^(2) = 64
- 1 2^1 = 2 8^(3) = 512
0 2^0 = 1 8^(4) = 4,096
=> solution x = - 3
You can continue filling the table for x =1, x = 2 and x = 3, but the solution is already stated x = - 3.
Part C- How can you solve the equation 2^-x=8^x+4 graphically?
Draw the graphs of both equation is the same coordinate system and the solution will be the point where the two curves intersect each other.
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Answer:
Here u are. U need to draw it down Ig
Step-by-step explanation:
I'm not sure I have done this in sch, but I have done very similar
I believe that if you were trying to find the ratio that adds up to square ratio then you put it in terms of x
3x+5x=1600
8x=1600 and then you divide by 8
x=200
then you plug it in
3x=3(200)=600
5x=5(200)=1000
600:1000 is your final answer in sq yards
Answer:
Area = 996 in^2
Step-by-step explanation:
First, look at the triangle on top, well, like half of it. You can use Pythagorean theorem to find the missing side. See image. Double it to find the base of the whole triangle. Use Area of a triangle:
= 1/2 b•h
to find the area of the top (the triangle).
The 24, used for the triangle base is also the side length of the square below. See image.
Area of a square is:
Area = s^2
OR, just l×w or b×h,
all the same.
Add together the triangle area and the square's area for the final answer. See image.
Answer: x>5
Step-by-step explanation: The Absolute Value term is |4x+6|
For the Negative case, we'll use -(4x+6)
For the Positive case, we'll use (4x+6)
-(4x+6) = 14
Multiply
-4x-6 = 14
Rearrange and Add up
-4x = 20
Divide both sides by 4
-x = 5
Multiply both sides by (-1)
x = -5
Which is the solution for the Negative Case
(4x+6) = 14
Rearrange and Add up
4x = 8
Divide both sides by 4
x = 2
x=-5
x=2