x-3y=-9 ???
B) y=3(1/3)^x
C)y=(1/2)^x+2
D) y=(2)^x-1
Answer:
The correct option is B)
Step-by-step explanation:
Consider the provided graph:
The general formula for equation of exponential decay is: where
The graph of exponential decay where as shown in figure 1:
From the figure 1, it is clear that a represents the y intercept and the coordinates are (0,a).
Now, consider the provided Graph:
The y intercept is (0,3)
Therefore, the value of a must be 3.
Now, consider the provided options, only option B) has the value of a = 3.
Therefore, the correct option is: B) .
Answer:
B) y=3(1/3)^x
Step-by-step explanation:
Based on the graph, y intercept = 3
So you can plug in x =0 in each functions given in the options to see which one has y-intercept = 3
y= 3 (1/3)^x ; when x = 0, y = 3 * 3^0 = 3 * 1 = 3
I'll do the first one to get you started.
We want to compare the two fractions 3/4 and 7/8. For now, let's assume they are equal. Chances are they aren't, but we'll assume they are until we know otherwise.
So we have this equation 3/4 = 7/8
Let's cross multiply to get 3*8 = 4*7. Check out the attached image to see what I mean about "cross multiply" if you're not sure.
The equation 3*8 = 4*7 turns into 24 = 28 after you simplify each side. Clearly both sides aren't the same so the equation is not true. Meaning that the original equation 3/4 = 7/8 is not true. The right side of 24 = 28 is larger, so the right side of 3/4 = 7/8 is larger
---------
Here's how it looks like listed out
3/4 = 7/8
3*8 = 4*7
24 = 28
The right side is larger, so we must change all the equal signs to less than signs
3/4 < 7/8
3*8 < 4*7
24 < 28
---------
So that is why 3/4 is less than 7/8
Alternatively, you can use your calculator to find that 3/4 = 0.75 and 7/8 = 0.875; comparing 0.75 and 0.875, we see that 0.875 is larger. Therefore 7/8 is larger.
----------
A
about 32 in 2
B. about 76 in 2
about 180 in 2
D
about 64 in 2
Answer:
B. about 76 in 2
Step-by-step explanation:
The picture of the question in the attached figure
I will assume that the tile is a regular hexagon
The area of the regular hexagon is equal to the area of six congruent equilateral triangles
Applying the law of sines to calculate the area of triangle
Remember that the measure of the interior angle in a equilateral triangle is 60 degrees
so
substitute
therefore
The area of each tile is about 76 square inches