The table is proportional and the constant of proportionality is 1.5
Step-by-step explanation:
Proportional relationships are relationships between two variables
where their ratios are equivalent
- One variable is always a constant value times the other
- The relation between the two variables represented graphically by a line passes through the origin point
The table:
→ x : 0 : 2 : 4 : 6
→ y : 0 : 3 : 6 : 9
To prove that y ∝ x find the ratio between each value of y with corresponding value of x
∵ 
∵ 
∵ 
∴ 
∴ k = 1.5
∵ The origin point is in the table
∴ y ∝ x
∴ The table is proportional
The table is proportional and the constant of proportionality is 1.5
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You can learn more about proportional in brainly.com/question/10708697
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Answer:
73
Explanation
To find the average we need to find the mean. So you have
87,93,96, and 89. Add it up and you get 365. Next you have to divide it by how many numbers there are, so 365 divided by 5 and you get 73.
(I divided 365 by 5 because we are looking for the score she needs on the 5th quiz too.)
Answer:
8x + 2y
Step-by-step explanation:
12x + 3y = 8 you need to transfer the no. 8 to left since it's positive, it will be negative once you tranfer that and the result is this 8x + 3y -8 =0. Then do it again on the second given, -4x = y + 8.
Tranfer the y variable to left, y is positive then it will be a negative. No need to transfer the no. 8. Then the result would be -4x - y + 8=0
To this solve this, wrote it like this:
12x + 3y –8
-4x - y + 8
——————
8x + 2y
Recall that the the vertical shifting of functions is associated with the numerical value that is added to the original one. A possitive value k will shift the function k units up, and a negativa value (or subtracting k) will move it vertically down k units.
If I understand correctly, you forgot to type an "x"in the original function f(x), which should read:
f(x) = 0.5 x
Correct?
The new graph is g(x) = 0.5 x - k which is obtained by shifting the original f(x) DOWN by 3 units.
In order to shift the graph of f(x) DOWN three units, we need to SUBTRACT 3 from f(x), leading to : 0.5 x - 3
Therefore, the value of "k"in the given g(x) = 0.5 x - k must be 3.
which agrees with the last option in your list (option D)
Im assuming this is a True or false question ive answered the same question and its True.
