so, recall, the function has symmetry when the yielded resulting function resembles the original function, after negativizing the variable(s).
Also recall that minus*plus is minus, and minus*minus is plus.
Answer:
Step-by-step explanation:
When working with surds we need to take note of the roots present there.
To expand this equation we can do it the following way noting that √3 X √3 = 3
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<em>Expanding (1-√3)(⅓+√3)</em>
1 X 1/3 = 1/3
1 X √3 = √3
-√3 X 1/3 =-√3/3
√3 X √3 = 3
hence, expanding the equation, we have
1/3 + √3 -√3/3 + 3
We can simply group the like terms and add them up.
[1/3 +3] +[√3-√3/3]
10/3 +
=
Answer:
y = (3/2)x + 11/2
Step-by-step explanation:
As we move from the point (-3, 1) to the point (3, -3), x increases by 6 and y decreases by 4. Thus, the slope is
m = rise / run = 6/4 = 3/2.
Subbing the knowns into the general point-slope form of the equation of a straight line, we get
y - 1 = (3/2)(x - [-3]), or y - 1 = (3/2)(x + 3).
This is equivalent to y = (3/2)x + 9/2 + 1, or y = (3/2)x + 11/2.
Equation : 2x - 3 = 45
Paula sold 24 packages last year
Step-by-step explanation:
<u>DATA:</u>
Number of packages Paula sold this year = 45 packages
This year's packages are 3 less than twice the number of packages sold last year.
- Twice the number of packages sold last year
Let's assume the number of packages sold last year to be x
2x
Equation:
2x - 3 = 45
<u>Solution:</u>
2x - 3 = 45
2x = 48
x = 24
Therefore, Paula sold 24 packages last year.
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