3r = 10 + 5s , <span>r = 10
plug in the value of "r" into the equation:
3(10) = 10 +5s
30 = 10 + 5s
subtract 10 from both sides:
20 = 5s
divide both sides by 5:
4 = s
s = 4</span>
Megan bought a fridge for $499 plus $100 delivery fee is not a proportional relationship.
Hello there! So, y = mx + b is in slope-intercept form, where m represents the slope, b represents the y-intercept, and y and x remain unfilled. First off, let's solve for the slope. The formula for slope is y2 - y1 / x2 - x1, where you subtract the first x and y coordinates from the second x and y coordinates. So it would be formed like this:
9 - 4 / 6 - (-4)
Let's subtract. 9 - 4 is 5. 6 - (-4) is 10. 5/10 is 1/2 in simplest form. The slope for this equation is 1/2. Now, let's find the y-intercept. We will find that by plugging one of the points into the equation and solving for b. The x and y coordinates will be filled in by that coordinate. Let's use (-4, 4) for this problem. We will also plug in the slope. In this case, the problem will look like this:
4 = (1/2)(-4) + b
Now, let's multiply 1/2 and -4 to get -2. Now, to get b by itself, subtract 2 to both sides to isolate the b. -2 + 2 cancels out. 4 + 2 is 6. b = 6. There. The equation of the line in slope-intercept form is y = 1/2x + 6.
Answer:
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Step-by-step explanation:
I'm sure you are familiar with the product rule,
If y = u*v => dy/dx = u * dv/dx + v * dy/dx <----- product rule
In this case:
Now remember the sum rule:
For this second bit we apply the chain rule:
If we substitute these values back into the expression...
...we get the following:
The rest is just pure simplification:
Now let's equate this to equal 8 for the second bit and solve for x:
18/97 to the nearest hundreth is 0.18