Answer:
original weight= mass/weight
62kg/7
Step-by-step explanation:
8.85 original weight
Answer:
B the range, the x- and y-intercept
Step-by-step explanation:
the domain stays the same : all values of x are possible out of the interval (-infinity, +infinity).
but the range changes, as for the original function y could only have positive values - even for negative x.
the new function has a first term (with b) that can get very small for negative x, and then a subtraction of 2 makes the result negative.
the y-intercept (x=0) of the original function is simply y=1, as b⁰=1.
the y-intercept of the new function is definitely different, because the first term 3×(b¹) is larger than 3, because b is larger than 1. and a subtraction of 2 leads to a result larger than 1, which is different to 1.
the original function has no x-intercept (y=0), as this would happen only for x = -infinity. and that is not a valid value.
the new function has an x-intercept, because the y-values (range) go from negative to positive numbers. any continuous function like this must therefore have an x-intercept (again, y = the function result = 0)
![3 {b}^{x + 1} = 2](https://tex.z-dn.net/?f=%203%20%7Bb%7D%5E%7Bx%20%2B%201%7D%20%20%3D%202)
![{b}^{x + 1} = 2 \div 3](https://tex.z-dn.net/?f=%20%7Bb%7D%5E%7Bx%20%2B%201%7D%20%20%3D%202%20%5Cdiv%203)
![log_{b}(2 \div 3) = x + 1](https://tex.z-dn.net/?f=%20log_%7Bb%7D%282%20%5Cdiv%203%29%20%20%3D%20x%20%2B%201)
![x = log_{b}(2 \div 3) - 1](https://tex.z-dn.net/?f=x%20%3D%20%20log_%7Bb%7D%282%20%5Cdiv%203%29%20%20-%201)
The sample space has 36 possible pairs from 1,1 1,2 1,3 up to 6,5 and 6,6
(a). Three pairs add to 4 1,3 2,2 and 3,1 so P(4) = 3/36 = 1/12
(b). 6 pairs add to 7 so P(7) = 6/36 = 1/6
(c) 15 pairs add to less than 7 so P(<7) = 15/36 = 5/12
You need to divide 65 1/2 by 15.
![65 \dfrac{1}{2} \div 15 =](https://tex.z-dn.net/?f=%2065%20%5Cdfrac%7B1%7D%7B2%7D%20%5Cdiv%2015%20%3D%20)
![= \dfrac{131}{2} \div \dfrac{15}{1}](https://tex.z-dn.net/?f=%20%3D%20%5Cdfrac%7B131%7D%7B2%7D%20%5Cdiv%20%5Cdfrac%7B15%7D%7B1%7D%20)
![= \dfrac{131}{2} \times \dfrac{1}{15}](https://tex.z-dn.net/?f=%20%3D%20%5Cdfrac%7B131%7D%7B2%7D%20%5Ctimes%20%5Cdfrac%7B1%7D%7B15%7D%20)
![= \dfrac{131 \times 1}{2 \times 15}](https://tex.z-dn.net/?f=%20%3D%20%5Cdfrac%7B131%20%5Ctimes%201%7D%7B2%20%5Ctimes%2015%7D%20)
![= \dfrac{131}{30}](https://tex.z-dn.net/?f=%20%3D%20%5Cdfrac%7B131%7D%7B30%7D%20)
![= 4 \dfrac{11}{30}](https://tex.z-dn.net/?f=%20%3D%204%20%5Cdfrac%7B11%7D%7B30%7D%20)
Each one got
acres.
Answer:
5) 2.444444444444444444444444
Step-by-step explanation: