11 * 14 = 154 lbs since 11lbs=1 stone 11 stones =154lbs
ANSWER IS LAST CHOICE 256/81
You can take the reciprocal of the fraction and drop the negative sign in the exponent. Then:
(-4/3)^4 = (-4)^4 / 3^4 = 256/81
<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.
Think of the given points as endpoints of vectors.
The point (3, 1) is the terminus of the vector 3 i + j.
The point (-4, 2) is the terminus of -4 i + 2 j.
By the "triangle rule" for vector summation, the vector starting at (3, 1) and ending at (-4, 2) is the difference between these two vectors.
(-4 i + 2j) - (3i + j) = -7 i + j
Answer:
<h3>A and D </h3>
Step-by-step explanation:
Hope this helps
if its wrong i´m sorry i got my answer from math.way
