Answer:
A
Step-by-step explanation:
If we distribute the 3 to the equation in the parenthesis, we end up with this
12h + 6k
Now, let's do the same thing for the other two equations
3(2k + 4h) = 6k + 12h
You can rearrange this equation to look like 12h+ 6k, making it the exact same as 3(4h + 2k).
So A is equivalent
How about B?
3(4h + 2h) = 12h + 6h = 18h
18h does not equal 12h + 6k, so B is not equivalent
9514 1404 393
Answer:
1. (f+g)(x) = 2x^2 +4x +2
2. (f -g)(x) = -2x^2 +4x -4
5. (f+g)(x) = x^2 +2x -1
6. (g -f)(x) = x^2 -2x -1
Step-by-step explanation:
None of these are compositions. They are only sums or differences.
(f±g)(x) = f(x) ± g(x)
__
1. (f+g)(x) = f(x) +g(x) = (4x -1) +(2x^2 +3)
(f+g)(x) = 2x^2 +4x +2
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2. (f -g)(x) = f(x) -g(x) = (4x -1) -(2x^2 +3)
(f -g)(x) = -2x^2 +4x -4
__
5. (f +g)(x) = f(x) +g(x) = (2x) +(x^2 -1)
(f+g)(x) = x^2 +2x -1
__
6. (g -f)(x) = g(x) -f(x) = (x^2 -1) -(2x)
(g -f)(x) = x^2 -2x -1
Answer:
<h2>25 months</h2>
Step-by-step explanation:
Using the formula for calculating the standard error of the mean to get the standard deviation. The standard error of the mean is expressed as;
SE = S/√n where;
S is the standard deviation
n is the sample size
Given SE = 25 months and n = 1, on substituting this parameters into the formula, we will have;
25 = S/√1
25 = S/1
cross multiply
S = 25*1
S = 25 months
<em>Hence the standard deviation based on the sample is 25 months</em>
Answer:
Attached diagram A'B'C'D'
Step-by-step explanation:
Given is a quadrilateral ABCD. It says to draw a dilated version with a scale factor 2/3.
We see that scale factor is less than 1 which means it shrinks the image to a smaller one.
To draw a scaled copy, we need to find the lengths of its sides.
To do so, we can draw the diagonals AC & BD, and they intersect at origin O(0,0) such that OA= -2, OB= 2, OC= 4, OD= -4.
Applying a scale factor of 2/3, we get OA' = -4/3, OB' = 4/3, OC' = 8/3, OD' = -8/3.
So we have attached a scaled copy A'B'C'D' of quadrilateral ABCD with a scale factor 2/3.
