Here are the step for solving this:
1. 3y + 5 > 23
-5 -5
3y/3 > 18/3
y > 6
In words what you are doing is getting y by itself on one side. Subtract the 5 to undo the adding of 5 first. Then, divide both sides by 3.
Answer:
5y + 15x = 25, 9x - y = -4
Step-by-step explanation:
The standard form is Ax + By = C. We can make this simple by first creating the slope intercept equations of both questions:
1. y = (-3/5)x + 5
2. y = 9x + 4
For the first one, we must first get rid of the denominator by multiplying everything by 5, so we get 5y = -15x + 25, and then you can add 3x to both sides to arrive at your first standard eqn, 5y + 15x = 25.
For the second, all you need to do is swap the y and the 4, subtracting both y and 4 from each side, arriving at 9x - y = -4
Hey there!
Let's first define our goal. Our goal here is to be able to isolate the variable, n, and solve for it by moving everything to the other side. We see that we have two sides of the equation, and by using the property of equality which states that whatever you do to one side you do to the other and the expression remains equal, we can solve this equation.
It looks like the only thing we have on the left side with n is that 6 1/2. In order to get rid of it, we must subtract it from both sides, because the property of equality states you must do the inverse operation.
We have:
n = 12 - 6 1/2
n = 5 1/2
Hope this helps!
For polynomials, if we say of "rate of change", we are talking about the slope of the tangent line. That is the value of dy/dx or the differential of y in terms of x. From the given choices, the answer would be the second choice, y = 19x - 10. This is because dy/dx in this item is essentially equal to 19 which is a constant.
Answer:
B. 68%
Step-by-step explanation:
Any number within 1 positive or negative deviation of the mean represents 68% of normally distributed data.
Math explanation:
52.4+11.8=64.2
52.4-11.8=40.6