Answer:
1. 36 rocks in total.
2. 15 purple rocks more than blue rocks
Step-by-step explanation:
1. Purple rocks are
of all rocks, then the remainder is
of all rocks.
2. Blue rocks are
of the remainder, then blue rocks are
of all rocks.
3. Silver rocks are the rest, that is
of all rocks.
4. It is known that the number of silver rocks is 3, then if x is the number of all rocks,
of x is 3:
![\dfrac{1}{12}\cdot x=3,\\ \\x=3\cdot 12,\\ \\x=36.](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B12%7D%5Ccdot%20x%3D3%2C%5C%5C%20%5C%5Cx%3D3%5Ccdot%2012%2C%5C%5C%20%5C%5Cx%3D36.)
Hannah has 36 rocks in total. 3 of them are silver,
are blue and
are purple. Then she has
more purple rocks than blue.
Absolute Extrema<span>. If a function has an </span>absolute<span> maximum at x = b , then f (b) is the largest value that f can attain. Similarly, if a function has an </span>absolute<span> minimum at x = b , then f (b) is the smallest value that f can attain.
</span>The strategy for tracking the sign of the derivative is useful for more than determining where a function is increasing or decreasing. It is also useful for locating the relative extrema of a function. At a relative extrema<span>, a function changes from increasing to decreasing or decreasing to increasing.
</span>
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Answer:
9. -4x+19y-7
10. 7x+20
Step-by-step explanation:
9. To simplify this expression, simply combine like terms. Add all of the terms with the x variable together, then the terms with the y variable, then the constant terms. I will show this step by step, but usually you do not have to show this work. The order of the terms does not matter.
x variable terms: (4x-8x)+7y-2+6y+6y-5= -4x+7y-2+6y+6y-5
y variable terms: (7y+6y+6y)-4x-2-5=19y-4x-2-5
constant terms: (-2-5)-4x+19y=-4x+19y-7
10. To simplify this expression, expand all terms and then combine like terms. The first term can be expanded by multiplying each term in the parentheses by 2.
Expand terms: 2(5+3x)+(x+10)= 10+6x+x+10
Now, you can combine like terms as done on the last problem. Note that I got rid of the parentheses in the second term, as they did not matter (since there was no term in front of them).
x variable terms: (6x+x)+10+10=7x+10+10
constant terms: (10+10)+7x=7x+20
Answer:
Graph B
Step-by-step explanation:
Parallell lines do not intersect. So, Graph B has no solutions.