Answer:
- Please see the attached picture for full solution!:)
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Answer:
Step-by-step explanation:
Explanation
6 sprinters are in a race. Any one of the 6 could win. None of them can win 2 medals. So the first result is 6
5 runners remain. The second medal goes to any one of the 5
4 runners remain after 1 of the 5 have been choosen. Any one of the 4 could win.
Answer 6 * 5 * 4 = 120
There are 120 ways of awarding 3 medals to 6 people.
Answer:
no mistakes
Step-by-step explanation:
4 * 3^x = 324
Divide each side by 4
4/4 * 3^x = 324/4
3^x = 81
Rewriting 81 as a power of 3
3^x = 3^4
Since the bases are the same, the powers are the same
x=4
Answer:
The equation that represents the number of persons buying the phone and the price of the phone is y = -0.75·x + 60
Step-by-step explanation:
The given data are as follows
x, p($)
10, 52.5
25, 41.25
40, 30
60, 15
We note that a plot of the given points give a straight line graph indicating a linear relationship
The rate of change of p($) with x is given by slope, m in the following relation;
![Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}](https://tex.z-dn.net/?f=Slope%2C%20%5C%2C%20m%20%3D%5Cdfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D)
Which gives;
![Slope, \, m =\dfrac{41.25-52.5}{25-10} = \dfrac{30-41.25}{40-25} = \dfrac{15-30}{40-60} =-0.75](https://tex.z-dn.net/?f=Slope%2C%20%5C%2C%20m%20%3D%5Cdfrac%7B41.25-52.5%7D%7B25-10%7D%20%3D%20%5Cdfrac%7B30-41.25%7D%7B40-25%7D%20%3D%20%5Cdfrac%7B15-30%7D%7B40-60%7D%20%3D-0.75)
Therefore, to write the equation in slope and intercept form, we have;
From the first point with coordinates (52.5, 10), we have
y - 52.5 = -0.75×(x - 10)
y = -0.75·x + 7.5 + 52.5 = -0.75·x + 60
The equation that represents the number of persons buying the phone and the price of the phone is y = -0.75·x + 60.
4ab^2
Hoped this helps! Just had it on a quiz and got it right. If you have boxex by 4 a^1 b^2