What are the values of x in the equation x(x+6)=4(x+6)
2 answers:
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a. The constant of proportionality is k = 2
b. If Micah saves $150, his parents will give him $300
<h2>Explanation:</h2><h3>PART A.</h3>From mathematics, we know that varies directly as
or
is directly proportional to
if and only if:
for some nonzero constant
.
Here we know some facts:
- For every $5 that Micah saves, his parents give him $10.
In other words:
Let y be the money his parents give him.
Let x be the money that Micah saves.
So,<em> the constant of proportionality is k = 2</em>
<h3>PART B.</h3>In this case, we know that Micah saves $150. So we need to find the amount of his parents will give him. So what we know here is the value of x, because x represents the amount of money Micah saves. Therefore, by knowing x and k, we can calculate the value of y, which is the amount of money his parents will give him. Hence:
Finally, <em>if Micah saves $150, his parents will give him 300$</em>
<h2>Learn more:</h2>Cost of pizzas: brainly.com/question/12878495
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Answer:
(8√2) / 15
Step-by-step explanation:
A curve bounded by the y-axis is represented by in terms of dy;
When the curve crosses the y-axis, x will be 0. In this case x is the function of t, so we have to solve for x(t) = 0;
0 = t^2 + 2t --- (1)
Solution(s) => t = 0, t = 2
dy = (1/2 * 1/√t)dt --- (2)
Our solutions (0, 2) are our limits. The area of the curve is in the form , so now let's introduce the limits of integration, x(t) and dy/dt. Remember, dy/dt = (1/2 * 1/√t) (second equation). 1/2 * 1/√t can be rewritten as 1/2 * t^(-1/2)....
Your solution is 8√2 / 15