Answer:
More people over the age of 60 support an increase than any other group
About 73% of those over 60 support an increase.
26.6% of those between 41-60 support an increase.
50% of those between 21-40 support an increase.
200 people participated
Rotate by angle α = 90°, around a center point (0; 0)
Answer:
Slope = -2
Step-by-step explanation:
You want to get it to the slope intercept form first.
2y = -4x + 3
Divide by 2
y = -2x + 3/2
Parallel means in the new slope intercept form there will still be -2x.
y = -2x + b (enter in points ( 0, 1.5 ) )
1.5 = 0 + b
b = 1.5
y = -2x + 1.5 ( just an example of a line parallel to 4x + 2y = 3 )
Answer:
![2(a^3+b^2+11)+1(3+a^3+b+11)=3a^3+2b^2+b+36](https://tex.z-dn.net/?f=2%28a%5E3%2Bb%5E2%2B11%29%2B1%283%2Ba%5E3%2Bb%2B11%29%3D3a%5E3%2B2b%5E2%2Bb%2B36)
Step-by-step explanation:
I assume that you need simplification of the given expression.
The given expression is:
![2(a^3+b^2+11)+1(3+a^3+b+11)](https://tex.z-dn.net/?f=2%28a%5E3%2Bb%5E2%2B11%29%2B1%283%2Ba%5E3%2Bb%2B11%29)
Using distributive property and multiplying 2 inside the parenthesis and 1 inside the other parenthesis. This gives,
![2(a^3+b^2+11)=2\times a^3+2\times b^2+2\times 11\\2(a^3+b^2+11)=2a^3+2b^2+22\\\\1(3+a^3+b+11)=1\times 3+1\times a^3+1\times b+1\times 11\\1(3+a^3+b+11)=3+a^3+b+11=a^3+b+14](https://tex.z-dn.net/?f=2%28a%5E3%2Bb%5E2%2B11%29%3D2%5Ctimes%20a%5E3%2B2%5Ctimes%20b%5E2%2B2%5Ctimes%2011%5C%5C2%28a%5E3%2Bb%5E2%2B11%29%3D2a%5E3%2B2b%5E2%2B22%5C%5C%5C%5C1%283%2Ba%5E3%2Bb%2B11%29%3D1%5Ctimes%203%2B1%5Ctimes%20a%5E3%2B1%5Ctimes%20b%2B1%5Ctimes%2011%5C%5C1%283%2Ba%5E3%2Bb%2B11%29%3D3%2Ba%5E3%2Bb%2B11%3Da%5E3%2Bb%2B14)
Therefore,
is equal to:
![2a^3+2b^2+22+a^3+b+14](https://tex.z-dn.net/?f=2a%5E3%2B2b%5E2%2B22%2Ba%5E3%2Bb%2B14)
Now, combining like terms using the commutative property of addition, we get:
![=(2a^3+a^3)+2b^2+b+(22+14)\\=3a^3+2b^2+b+36](https://tex.z-dn.net/?f=%3D%282a%5E3%2Ba%5E3%29%2B2b%5E2%2Bb%2B%2822%2B14%29%5C%5C%3D3a%5E3%2B2b%5E2%2Bb%2B36)
Therefore, the simplified form is ![3a^3+2b^2+b+36](https://tex.z-dn.net/?f=3a%5E3%2B2b%5E2%2Bb%2B36)
Answer:
![\frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D)
Step-by-step explanation:
Since there are a total of 4 colors, and there are 5 of each colors, the total marbles in the bad would be;
5 x 4 = 20
If a color is selected at random the probability would be
![\frac{part}{whole}](https://tex.z-dn.net/?f=%5Cfrac%7Bpart%7D%7Bwhole%7D)
our part is 5
our whole is 20
so the probability would be;
or
when reduced
Hope this helps!