Answer:
Here is the complete question (attachment).
The function which represent the given points are 
Step-by-step explanation:
We know that a general exponential function is like,
We can find the answer by hit and trial method by plugging the values of 
coordinates.
Here we are going to solve this with the above general formula.
So as the points are 
then for 
Can be arranged in terms of the general equation.
...equation(1) and 
...equation(2)
Plugging the values in equation 2.
We have
![\frac{16}{b} b^4=128,16\times b^3=128,b=\sqrt[3]{\frac{128}{16}} =\sqrt[3]{8}=2](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7Bb%7D%20b%5E4%3D128%2C16%5Ctimes%20b%5E3%3D128%2Cb%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B128%7D%7B16%7D%7D%20%3D%5Csqrt%5B3%5D%7B8%7D%3D2)
Plugging 
in equation 1.
We have 
Comparing with the general equation of exponential 
and
So the function which depicts the above points =
From theoption we have B as the correct answer.
Answer:
Step-by-step explanation:
The initial dimensions of the paper are:
(length)
(width)
After the paper is cut along the diagonal, we remain with a right triangle, of which the length and the width corresponds to the base and the height.
For a triangle, the area is calculated as
where
b is the base
h is the height
Here we have:
Therefore, the area of the triangle is:
X+y=8
y=3x
You would want to substitute the y for the 3x
x+3x=8
You can now add the x with the 3x to get 4x
4x=8
Now divide the 4 on both side to solve for x
x=2
Now to solve for y just substitute the x for the 2
y=3(2)
Now multiply the 3 and the 2 to solve for y.
y=6
So your corrct answer is B:(2,6)
Answer:
No
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes, for example:
2/3 and -3/2
It is not possible for 2 lines to have negative slopes and be perpendicuar. This is because a slope must be negated to get the perpendicular slope.
(1) n is not divisible by 2 --> pick two odd numbers: let's say 1 and 3 --> if , then and as zero is divisible by 24 (zero is divisible by any integer except zero itself) so remainder is 0 but if , then and 8 divided by 24 yields remainder of 8. Two different answers, hence not sufficient.
(2) n is not divisible by 3 --> pick two numbers which are not divisible by 3: let's say 1 and 2 --> if , then , so remainder is 0 but if , then and 3 divided by 24 yields remainder of 3. Two different answers, hence not sufficient.
(1)+(2) Let's check for several numbers which are not divisible by 2 or 3:
--> --> remainder 0;
--> --> remainder 0;
--> --> remainder 0;
--> --> remainder 0.
Well it seems that all appropriate numbers will give remainder of 0.
