a. 9/10
explanation:
• the denominators (bottom number) are the same so there is no need to change to a common factor
• because the fractions have common factors, you add the top numbers (3+6) to get 9
• then you put the top number over the 10 (9/10) and it’s simplified as much as possible
b. 3/4
explanation:
• each denominator (bottom term) is a factor of 12 so you have to change each fraction to #/12
• to change 1/3, you multiply the top and bottom numbers by 4 (1x4 & 3x4 = 4/12)
• to change 1/4, you multiply the top and bottom numbers by 3 (1x3 & 4x3 = 3/12)
• to change 1/6, you multiple the top and bottom numbers by 2 (1x2 & 6x2 = 2/12)
• then you add each of the top numbers (4+3+2) and put it over the common denominator (12) to get 9/12
- both 9 & 12 are divisible by 3, so you simply by dividing both by 3 to get 3/4
c. 1/3
explanation:
•the denominators are the same, so you subtract 5-3 without changing the denominator & you get 2/6
• then, because both numbers are divisible by 2, you divide both by 2 and get 1/3
The function g(x) is a translation to the right of 3 units and up 2 units of f(x), so the correct option is B.
<h3>Which statement is true regarding the vertical and horizontal translations from f(x) to g(x)?</h3>
For a given function f(x), we can write a vertical translation of n units as:
g(x) = f(x) + n
- If n < 0, the translation is downwards.
- if n > 0, the translation is upwards.
And a horizontal translation of n units as:
g(x) = f(x + n).
- if n > 0, the translation is to the left.
- if n < 0, the translation is to the right.
Here we have:
f(x) = (2/3)*x
g(x) = (2/3)*(x - 3) + 2
By comparing it with the general translations, we conclude that we have a traslation of 3 units to the right and 2 units up.
So the correct option is B.
If you want to learn more about translations:
brainly.com/question/24850937
#SPJ1
Subtract 8 from 54. ( -3x = 46 ) Divide -3 from 46. Your answer should be about -15.3
