Answer:
The table that has a consistent proportionality between Y and X of 2 is choice 2.
Step-by-step explanation:
Because the proportionality between X and Y is 2, that means for each x value, the corresponding y value will be twice as big. The only option that meets this requirement is choice 2, so that is the correct answer.
Here is what we know...
There is a total of 15 cards
Adding brown and yellow cards together is 12/15 cards
The probability of picking a brown or yellow card is 12/15 since there are 12 yellow and brown cards and a total of 15 cards. You still need to simplify this though.
12 and 15 can both be divided by 3 (12/15)
12 divided by 3 = 4
15 divided by 3 = 5
This simplifies into 4/5
The probability that a yellow or brown card is chosen from the box is 4/5
The equation of the transformed function is y = 1/2(x - 4)^3 + 5
<h3>How to describe the transformation?</h3>
The parent function is given as:
y = x^3
When the function is vertically compressed by 1/2, the rule is:
(x, y) ⇒ (x, 1/2y)
So, we have
y = 1/2x^3
When translated 4 units right, we have:
y = 1/2(x - 4)^3
When translated 5 units up, we have:
y = 1/2(x - 4)^3 + 5
Hence, the equation of the transformed function is y = 1/2(x - 4)^3 + 5
Read more about function transformation at:
brainly.com/question/3381225
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Answer:
d. (4, 8)
Step-by-step explanation:
2y+6<8x Equation
2y+6<8x Subtract 6 from both sides of the inequality
y +3 < 4x Divide each term by 2 and simplify
y < 4
x − 3 Subtract 3 from both sides
Guess and check all the ordered pairs
Answer is d. (4, 8)
8 < 16 - 3
8 < 13
Answer:
6
Step-by-step explanation:
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