The answer is 90, 25, 155, 115 respectively
28 is not a cube, and 63 is not a square. The simplest form is the form you have.
![\sqrt[3]{28}-\sqrt{63}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B28%7D-%5Csqrt%7B63%7D)
Well, I have an example that might help:
Rico's MP3 player holds songs of three different genres: grindcore, zydeco, and kuduro. There are <span>55</span> times as many grindcore tracks as there are zydeco tracks, and there are <span>77</span> times as many kuduro tracks as there are zydeco tracks. Let <span>xx</span> represent the number of zydeco tracks. Write an expression for the total number of tracks on the MP3 player, and simplify it.
Multiply the number of zydeco tracks by <span>55</span> to get the number of grindcore tracks.
<span><span>5x</span><span>5x</span></span>
Multiply the number of zydeco tracks by <span>77</span> to get the number of kuduro tracks.
<span><span>7x</span><span>7x</span></span>
Add up the numbers of all the tracks.
<span><span>x+5x+7x</span><span>x+5x+7x</span></span>
Simplify using the distributive property.
<span><span><span>=(1+5+7)x</span><span>=13x</span></span><span><span>=(1+5+7)x</span><span>=13x</span></span></span>
So, Rico's MP3 player holds <span><span>13x</span><span>13x</span></span> tracks.
I hope I helped you!
Answer:
y = (x + 4.5)² - 13.25
Step-by-step explanation:
y = x² + 9x + 7
We need to get a perfectly squared binomial as part of the right side.
Take the '9x' term, divide it in half, square it, add <u>and also subtract it </u>on the right side, as shown below. That would be (4.5)² = 20.25 added <u>and </u>subtracted.
y = x² + 9x + 7
y = x² + 9x + 20.25 + 7 - 20.25
y = (x² + 9x + 20.25) - 13.25
y = (x + 4.5)² - 13.25
y = (x + 4.5)² - 13.25
Vertex Form is y = a(x-h)² + k, where the parabola vertex is (h, k)
So if you wrote this as y = 1(x - [-4.5] )² + (-13.25), we would see that a = 1, and h = -4.5 and k = -13.25.
Vertex = (-4.5, -13.25)
I verified on a graphing calculator that this is indeed the vertex of the parabola.
