Answer : 21
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<h3><u>The value of the smaller number, y, is equal to 9.</u></h3><h3><u>The value of the larger number, x, is equal to 12.</u></h3>
x + y = 21
x = 2y - 6
We have a value for x, so we can plug it into the original equation to solve for y.
2y - 6 + y = 21
Combine like terms.
3y - 6 = 21
Add 6 tot both sides.
3y = 27
Divide both sides by 3.
y = 9
Now that we have a value for x, we can plug it into the 2nd equation to solve for x.
x = 2(9) - 6
x = 18 - 6
x = 12
Answer:
0
Step-by-step explanation:
total number of balls = 3+5+2= 10
Probability of getting red P(R) = 3/10
Probability of getting white P(W) = 5/10
Probability of getting black P(B) = 2/10
for each red ball drawn you win $6 and for each black ball drawn you loose $9 dollars
E(X)= 6×3/10 +0×5/10 -9×2/10= 0
E(X)= 0
Using translation concepts, we have that:
- The new equation is f(s) = (8/3)s - 20.
- The effect on the graph is that it is a vertical stretch by a factor of 2 of the function f(s).
- Selling 300 shirts with the new function, you obtain a profit of $780.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
The profit function given in the problem is:
f(s) = (4/3)s - 20.
From this function, we get that the<u> profit with a single shirt sold is of $4/3</u>. To double the profit, this amount has to be multiplied by 2, hence the new function is:
f(s) = (8/3)s - 20.
Which is a vertical stretch by a factor of 2 of the graph of f(s).
When 300 shirts are sold, the profit is then given by:
f(300) = (8/3) x 300 - 20 = $780.
More can be learned about translation concepts at brainly.com/question/4521517
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Answer:
2/5
Step-by-step explanation:
