Answer:
(a) (5, -3)
Step-by-step explanation:
The "substitution method" for solving a system of equations requires that you write an expression that can be substituted for a variable in one or more of the other equations in the system.
<h3>Expression to substitute</h3>
The given equations are ...
We notice the first equation gives an expression for y. This is exactly what we want to substitute for y in the second equation.
<h3>Substitution</h3>
When the expression (x-8) is substituted for y in the second equation, you get ...
2x +3(x -8) = 1
This simplifies to ...
5x -24 = 1
<h3>Solution</h3>
This 2-step equation can now be solved in the usual way:
5x = 25 . . . . . . add 24 to isolate the variable term
x = 25/5 = 5 . . . . . divide by the coefficient of x
Note that we now know what the correct answer choice is.
Using the expression for y, we find ...
y = x -8 = 5 -8 = -3
The solution is (x, y) = (5, -3).
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The attached graph confirms this solution.
Answer:
(-1, 0), (2, 0), (3, 0)
Step-by-step explanation:
x-intercept of a line is defined by a point where y = 0.
So the point in the form of (x, 0) will be the x-intercept of the given continuous function.
From the table attached,
For x = -1, f(-1) = 0
For x = 2, f(2) = 0
For x = 3, f(3) = 0
Points (-1, 0), (2, 0) and (3, 0) are the x-intercepts of the continuous function f(x).
Answer:
62+62=2
122=2
Step-by-step explanation:
The left side
122
122
does not equal to the right side
2
2
, which means that the given statement is false.
False
This is a function because each x value has its own y value.
The domain is all the x values : 1,2,3,4,5
The range is all the y values: 1,2,5,10,15
The correct answer is letter c. The offer price of the fund was $0.15 more than the net asset value when purchased.
Formula for calculating NAV:
Net Asset Value (NAV) = (Assets - Debts) / (Number of Outstanding Units)
The Net Asset Value (NAV) is the price in which you pay to buy a unit of mutual fund scheme when you invest.