Hello there!
(6y^2 - 3y^3 + 5)(7y^5)
Use the distributive property
=(6y^2)(7y^5) + (-3y^3)(7y^5) + (5)(7y^5)
= 42y^7 - 21y^8 + 35y^5
= -21y^8 + 42y^7 + 35y^5
Good luck with your studies buddy!
If the amount of weeks is w, then -1.5w is the amount of hair cut off due to that she subtracts 1.5 from her hair every week. Therefore, since the base amount is 11.5, we have to add that to the expression to get 11-1.5w
Because you use money to purchase Groceries, Clothes, and etc.
You will (maybe) get Change, Taxes, Discounts
You use the following mathematical skills to go shopping :
Percent increase/ decrease
Subtraction and addition
Finding the value of x / Variables
By definition, the slope of a curve is the rate of change of the independent and dependent variables. When graphed in a Cartesian plane, the slope between any two point on the curve is equal to Δy/Δx. However, we should not that only a linear function has a constant slope. For this problem, the equation is quadratic. Hence, you must specify the point where we should get the slope.
In calculus, the slope is the first derivative of the equation:
<span>y=3x</span>²<span>-8
dy/dx = slope = 6x - 0
Thus, the slope at any point of the curve is 6x. For instance, you want to find the slope of the curve at point (1,1), then the slope is equal to 6(1) = 6 units.</span>
8<em> times (</em> 2<em> plus</em> 1 ) = 24