Answer:
2a + 7
Step-by-step explanation:
-3a + 7 +5a
<em>subtract the negative 3 from the 5</em>
2a + 7
Answer:
![x=2.5+\frac{\sqrt{29}}{2}\\\\x=2.5-\frac{\sqrt{29}}{2}](https://tex.z-dn.net/?f=x%3D2.5%2B%5Cfrac%7B%5Csqrt%7B29%7D%7D%7B2%7D%5C%5C%5C%5Cx%3D2.5-%5Cfrac%7B%5Csqrt%7B29%7D%7D%7B2%7D)
Step-by-step explanation:
So the question here is asking you to use the quadratic formula which is expressed as: ![x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%5Cpm%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D%5C%5C)
A quadratic can generally be expressed as: ![y=ax^2+bx+c](https://tex.z-dn.net/?f=y%3Dax%5E2%2Bbx%2Bc)
So using the equation you gave: ![0=x^2-5x-1](https://tex.z-dn.net/?f=0%3Dx%5E2-5x-1)
We can identify the following values: a=1, b=-5, c=-1
Btw the equation explicitly write "1" as the coefficient of x, but since it's not provided it's implied that it's 1.
So plugging in the known values, we get the following equation:
![x=\frac{5\pm\sqrt{(-5)^2-4(1)(-1)}}{2(1)}\\\\x=\frac{5\pm\sqrt{25+4}}{2}\\\\x=\frac{5\pm\sqrt{29}}{2}\\\\x=2.5+\frac{\sqrt{29}}{2}\\\\x=2.5-\frac{\sqrt{29}}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B5%5Cpm%5Csqrt%7B%28-5%29%5E2-4%281%29%28-1%29%7D%7D%7B2%281%29%7D%5C%5C%5C%5Cx%3D%5Cfrac%7B5%5Cpm%5Csqrt%7B25%2B4%7D%7D%7B2%7D%5C%5C%5C%5Cx%3D%5Cfrac%7B5%5Cpm%5Csqrt%7B29%7D%7D%7B2%7D%5C%5C%5C%5Cx%3D2.5%2B%5Cfrac%7B%5Csqrt%7B29%7D%7D%7B2%7D%5C%5C%5C%5Cx%3D2.5-%5Cfrac%7B%5Csqrt%7B29%7D%7D%7B2%7D)
The last step just consists of taking the + and - solution, and since it asks for exact solutions you leave the 29 under the radical, and you don't approximate. There is no further simplification that can be done here.
perimeter = 2L+2w
from the problem L = 1/5w-2
so perimeter = 2(1/5w-2) +2w
= 2/5w-4 +2w
=12/5w-4
without seeing your choices it should be similar to this
By increasing the number of blue widgets supplied
Complete question :
Carly purchased 9 1/2 pints of ice cream for a party. If each guest will be served exactly 3/5 pint of ice cream, what is the greatest number of gusts that Carly can serve
Answer:
15 guests
Step-by-step explanation:
Given that:
Total pints of icecream = 9 1/2
Fraction of ice cream pints per guest = 3/5 pints
Number of guest that can be served :
Total pints / fraction per guest
9 1/2 ÷ 3/5
19/2 * 5/3
95 / 6
= 15.8 guest
Hence, greatest Number of guest that can be served = 15