<h2>⇛ <u>A</u><u>N</u><u>S</u><u>W</u><u>E</u><u>R</u><u> </u>⇚</h2>
<h3>2x - y = 0 </h3><h3>x + y =-3 </h3><h3> is matched with </h3><h3>[ O -1 ] (system determinant)</h3><h3>[ 3 1 ] ( y - determinant )</h3><h3> ( x - determinant )</h3>
<h2>HOPE U UNDERSTOOD !!!!(:</h2>
Inverse of F(x) is f(x) = x+6
Explanation:
Given :
F(x) = x-6
In mathematics, an inverse function (or anti-function) is a function that reverses another function: f y i.e., f(x) = y if and only if g(y) = x.
So, according to question
F(x)= x-6
Now we will solve the right hand side of the equation
x=F(x)+6
So inverse of F(x) is f(x) = x+6
Answer:
There are 14 5-point questions and 10 3-point questions.
Step-by-step explanation:
Form 2 equations:
Let x= 5-point questions
Let y= 3-point questions
1.) x+y=24
2.) 5x+3y=100
Use substitution by reforming equation 1 in terms of x or y (I used y)
1.) y=24-x
Sooo, substitute this into the y in the 2nd equation:
5x+3(24-x)=100
5x+72-3x=100
2x=100-72
2x=28
x=14
Now that we have x, substitute this into the 1st equation to get y:
1.) y=24-x
y=24-14
y=10
In conclusion, there are 14 5-point questions and 10 3-point questions.
Step-by-step explanation:
such an equation is a simple linear function :
y = ax + b
b is in this case the flat fee, and a (the slope) drives the incline of the function for various numbers of students x.
our job is now to find the correct a and b values.
we do this by using the informative we have and create 2 equations for a and b, and then we solve this system.
132.5 = a×25 + b
145 = a×30 + b
now, we can use a little trick and simply subtract the whole first equation from the second equation.
145 = a×30 + b
- 132.5 = a×25 + b
------------------------------
12.5 = a×5 + 0
5a = 12.5
a = 2.5
with this we go into one of the original equations, e.g. the second one :
145 = 2.5×30 + b = 75 + b
70 = b
so, it full equation is
y = 2.5x + 70
the costs for 85 students are
y = 2.5×85 + 70 = 212.5 + 70 = $282.50