In order to find what x equals, we need to make it so x is on one side and what it equals, on the other.
First of all, we subtract 10 from both sides. You will now have:
x^3 - 5x^2 + 2x - 10 = 0
You will now either factor it which is recommended or use the Cubic Formula which is pretty difficult to memorize and to solve. I will now factor it.
( x - 5) ( x^2 + 2 ) = 0
You can now take both of the expressions inside and make them equal to zero and solve them.
x - 5 = 0x = 5
x^2 + 2 = 0x^2 = -2
x <span>≈</span> 1.41421356i
The second option is irrational and uses an imaginary number which you will start seeing in Alegbra II (or already have if you are taking it or have already passed it), so the first one which is 5, is the correct answer.
Answer: 5
Answer:
1. b+15=27
2. 4*X=36
3. y-9=12
4. k/7=21
Step-by-step explanation:
sum means addition and product means to multiply and difference means subtraction and divided means to divide :)
Answer:
2 miles in 8 minutes
4 miles in 16 minutes
8 miles in 32 minutes
16 miles in 64 minutes
Step-by-step explanation:
![\bf \textit{parabola vertex form with focus point distance} \\\\ \begin{array}{llll} 4p(x- h)=(y- k)^2 \\\\ 4p(y- k)=(x- h)^2 \end{array} \qquad \begin{array}{llll} vertex\ ( h, k)\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix} \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ -\cfrac{1}{4}(y+2)^2=x-7\implies -\cfrac{1}{4}[y-(-2)]^2=x-7 \\[2em] [y-(-2)]^2=-4(x-7)\implies [y-(\stackrel{k}{-2})]^2=4(\stackrel{p}{-1})(x-\stackrel{h}{7})](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bparabola%20vertex%20form%20with%20focus%20point%20distance%7D%20%5C%5C%5C%5C%20%5Cbegin%7Barray%7D%7Bllll%7D%204p%28x-%20h%29%3D%28y-%20k%29%5E2%20%5C%5C%5C%5C%204p%28y-%20k%29%3D%28x-%20h%29%5E2%20%5Cend%7Barray%7D%20%5Cqquad%20%5Cbegin%7Barray%7D%7Bllll%7D%20vertex%5C%20%28%20h%2C%20k%29%5C%5C%5C%5C%20p%3D%5Ctextit%7Bdistance%20from%20vertex%20to%20%7D%5C%5C%20%5Cqquad%20%5Ctextit%7B%20focus%20or%20directrix%7D%20%5Cend%7Barray%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%20-%5Ccfrac%7B1%7D%7B4%7D%28y%2B2%29%5E2%3Dx-7%5Cimplies%20-%5Ccfrac%7B1%7D%7B4%7D%5By-%28-2%29%5D%5E2%3Dx-7%20%5C%5C%5B2em%5D%20%5By-%28-2%29%5D%5E2%3D-4%28x-7%29%5Cimplies%20%5By-%28%5Cstackrel%7Bk%7D%7B-2%7D%29%5D%5E2%3D4%28%5Cstackrel%7Bp%7D%7B-1%7D%29%28x-%5Cstackrel%7Bh%7D%7B7%7D%29)
so h = 7, k = -2, meaning the vertex is at (7, -2).
the squared variable is the "y", meaning is a horizontal parabola.
the "p" distance is negative, for a horizontal parabola that means, it's opening towards the left-hand-side.
we know the focus and directrix are "p" units away from the vertex, and we know the parabola is opening horizontally towards the left-hand-side.
the focus is towards it opens 1 unit away, at (6, -2).
the directrix is on the opposite direction, 1 unit away, at (8, -2), namely x = 8.
Answer:
mCO₂ = 1.188 lb or simply 1.2 lb
Step-by-step explanation:
We need to use the following expression:
E = P * t
Where:
E: Energy in Kwh
P: Power in Watts
t: time in hours.
Applying this, with the given data we have:
E = 150 * 8
E = 1200 watts . h
Converting this value in kW we have:
E = 1200 watts * 1 kW/1000 watts = 1.2 kWh
In general terms, we have 0.99 pounds of CO₂ emissions per kWh, so with the obtained value we have:
mCO₂ = 0.99 * 1.2
<h2>
mCO₂ = 1.188 lb or simply 1.2 lb</h2>
Hope this helps