The square root is 13.228 so you would round to the nearest number. Anything below .4 would be rounded down and anything 5-9 would be rounded up. The answer would be 13
Answer:
1. y = 6x - 4
2. y = 5x - 3
Step-by-step explanation:
1. Since 6 is the slope, you just add the x after the 6. The y - intercept always goes at the end of the equation.
2. The y - intercept is - 3 and the slope is 5 over 1 which is just 5.
Answer: a) 59049, b) 15120, c) 126.
Step-by-step explanation:
Since we have given that
5 digit sequences from the integers 1,2,...9.
a) the digits can be the same.
Repetition is allowed.
So, Number of ways to form 5 digit sequences would be
![9\times 9\times 9\times 9\times 9\\\\=9^5\\\\=59049](https://tex.z-dn.net/?f=9%5Ctimes%209%5Ctimes%209%5Ctimes%209%5Ctimes%209%5C%5C%5C%5C%3D9%5E5%5C%5C%5C%5C%3D59049)
b) the digits cannot be the same and the order in which they appear matters.
Repetition is not allowed and order is maintained, so we will use "Permutation":
![^9P_5=15120](https://tex.z-dn.net/?f=%5E9P_5%3D15120)
c) the digits cannot be the same and the order in which they appear does not matter.
Repetition is not allowed and order is not maintained, so we will use "Combination":
![^9C_5=126](https://tex.z-dn.net/?f=%5E9C_5%3D126)
Hence, a) 59049, b) 15120, c) 126.
Answer:
y + 4x + 2
Step-by-step explanation:
Answer:
- (-11.70, -2.05), (4.70, 5.10)
Step-by-step explanation:
<u>Given equations</u>
<u>Solving the first equation for x:</u>
- (x+5)(x+2)=65
- x^2 + 7x + 10 = 65
- x^2 + 7x - 55 = 0
- x = (-7 ± √(49+4*55))/2
- x = -11.70, x = 4.70
<u>Then solving for y:</u>
- y= 24/(-11.7) = -2.05
- y = 24/4.7 = 5.10
<u>Solution set: </u>
- (-11.70, -2.05), (4.70, 5.10)