4+3x = (k+2)x + 8
4+2+3x = (k+2)x + 8 - 2
6+3x = (k+2)x + 6
then 3x = k+2
so k = 3X-2
24 meters long. You move the decimal places 2 to the right.
C -3/2
Just multiply the second equation by -3/2
this will make the y term = -3/4y
so adding will eliminate the y terms.
Answer:
Correct option: fourth one -> 254 cubic inches.
Step-by-step explanation:
The volume of a cylinder is given by the equation:
To calculate the internal volume of the pipe, we should use its internal radius.
The external radius of the pipe is half of the diameter, and the internal radius is the external radius minus the thickness of the pipe, so we have:
Then, using the internal radius in the volume equation, we have that:
So the correct option is the fourth one: Volume is approximately 254 cubic inches.
<h3>
Answer: D) The y intercept is (0,1)</h3>
This can be confirmed by plugging x = 0 into the function to find that...
y = (1/2)^x
y = (1/2)^0
y = 1
Recall that any nonzero value to the 0th power leads to 1. So we can say x^0 = 1 as long as x is not zero.
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Extra info (optional section):
- We can rule out choice A because negative x values work in the domain. For instance, if x = -1, then it leads to y = (1/2)^x = (1/2)^(-1) = 2. The negative exponent will apply the reciprocal operation to the base fraction.
- Choice B can also be ruled out because the range is y > 0. Or you could note that it is possible to get positive y values smaller than 1/2. Try x = 2 and you'll see it leads to y = 1/4 which is not greater than 1/2.
- Choice C is false as well. The function f(x) = (1/2)^x is decreasing throughout the domain. A graph visually would show this due to it going downhill when moving from left to right. A table of values is a non-visual way to see we have a decreasing function. The table would show that y decreases when x increases.
