Answer:
52b
Step-by-step explanation:
She has 52 cards per deck, and b decks.
This means she has 52b cards.
How this works:
For 1 deck, she has 52 cards, or 52×1 cards.
For 2 decks, she has 104 cards, or 52×1 cards.
For 5 decks, she has 260 cards, or 52×5 cards.
For 10 decks, she has 520 cards, or 52×10 cards.
Therefore, for b decks, she has 52×b, or 52b cards.
**This content involves writing algebraic expressions, which you may wish to revise. I'm always happy to help!
Answer:
![\int_{-1}^{1}7(x^{3}-x)\:dx](https://tex.z-dn.net/?f=%5Cint_%7B-1%7D%5E%7B1%7D7%28x%5E%7B3%7D-x%29%5C%3Adx)
Step-by-step explanation:
1) The other curve is
then the common points of both curves are x-intercepts, the roots of ![y=7(x^{3}-x)](https://tex.z-dn.net/?f=y%3D7%28x%5E%7B3%7D-x%29)
![y=7(x^{3}-x)\Rightarrow 7(x^3-x)=0 \Rightarrow 7(x^{3}-x)=7x(x-1)(x-1)\Rightarrow \\S=\left ( 0,0 \right ),\left ( -1,0 \right ),\left ( 1,0 \right )](https://tex.z-dn.net/?f=y%3D7%28x%5E%7B3%7D-x%29%5CRightarrow%207%28x%5E3-x%29%3D0%20%5CRightarrow%207%28x%5E%7B3%7D-x%29%3D7x%28x-1%29%28x-1%29%5CRightarrow%20%5C%5CS%3D%5Cleft%20%28%200%2C0%20%5Cright%20%29%2C%5Cleft%20%28%20-1%2C0%20%5Cright%20%29%2C%5Cleft%20%28%201%2C0%20%5Cright%20%29)
2). Then those intersection points are the upper and the lower limits. Plugging in to this formula for they belong to the interval [-1,1]:
![\int_{a}^{b}|f(x)-g(x)dx](https://tex.z-dn.net/?f=%5Cint_%7Ba%7D%5E%7Bb%7D%7Cf%28x%29-g%28x%29dx)
![\int_{a}^{b}|f(x)-g(x)dx \Rightarrow \int_{-1}^{1}|7(x^{3}-x)-0|dx \Rightarrow \int_{-1}^{1}7(x^{3}-x)\:dx](https://tex.z-dn.net/?f=%5Cint_%7Ba%7D%5E%7Bb%7D%7Cf%28x%29-g%28x%29dx%20%5CRightarrow%20%5Cint_%7B-1%7D%5E%7B1%7D%7C7%28x%5E%7B3%7D-x%29-0%7Cdx%20%5CRightarrow%20%5Cint_%7B-1%7D%5E%7B1%7D7%28x%5E%7B3%7D-x%29%5C%3Adx)
Answer:
whatever% of anything, is just (whatever/100) * anything.
there were a total of 560000 votes, now, off those some are valid and some are invalid.
we know 15% of that are invalid, that simply means that 85% are valid, since 85% + 15% is the whole thing, or 100%, if 15% are not good, the other 85% are the good ones.
how many are the valid ones anyway? well, 85% of 560000, which is just (85/100) * 560000.
we know that off those valid ones, the candidate got 75% of those, so how much is 75% of that?
well, (75/100) * [ (85/100) * 560000 ].
Step-by-step explanation:
Answer:
Step-by-step explanation:
Y=mx+b
parallel lines will have the same slope.
using the points (-4,6) and the slope for the parallel line -3 we can find b (the y intercept) for the line.
6 = (-3)(-4) + b
6 = 12 + b
-12 + 6 = -12 + 12 +b
-6 = b
so the line that runs through points (-4,6) and parallel to y= -3x+4 is:
y = -3x -6