Answer:
160/196
Step-by-step explanation:
it would be easier if you converted all fractions to improper fractions
so 3 1/5 would equal 16/5 and 2 4/5 would equal to 14/5
: to solve this you would need the same common denomenator,
to do this you can multiply 5 and 3 by something to make the lowest common denominator, which would be 15
thus
multiplying first fraction by 3 and the second by 5
42/15 - 10/15 = 32/15
now 32/15 divided by 14/5
the rule for dividing fractions, is flipping the fraction which you will be using to divide, and then multiplying it to the first fraction:
multiplied by 
thus, answer is 160/196
Answer:
and 
Step-by-step explanation:
If two equations are given, we can solve one of the equation in terms of single variable and put it in the other equation which will further give the value of x and y.
For the given equations:
Equation:1
Equation:2
Solving equation multiply equation 2 with 4 on both the sides
Equation 3
Subtracting Equation:3 from Equation:1
Putting value of 'y' in Equation:2 which will give the value of x
The solution is the point of intersection between the two equations.
Assuming you have a graphing calculator or a program to lets you graph equations (I use desmos) you simply put in the equetions and note down the coordinates of the point of intersection.
In the graph the first equation is in blue and the second in red.
The point of intersection = the solution = (-6 , -1)
If you dont have access to a graphing calculator you could draw the graphs by hand;
1) Draw a table of values for each equation; you do this by setting three or four values for x and calculating its image in y (you can use any values of x)
y = 0.5 x + 2 (Im writing 0.5 instead of 1/2 because I find its easier in this format)
x | y
-1 | 1.5 * y = 0.5 (-1) + 2 = 1.5
0 | 2 * y = 0.5 (0) + 2 = 2
1 | 2.5 * y = 0.5 (1) + 2 = 2.5
2 | 3 * y = 0.5 (2) + 2 = 3
y = x + 5
x | y
-1 | 4 * y = (-1) + 5 = 4
0 | 5 * y = (0) + 5 = 5
1 | 6 * y = (1) + 5 = 6
2 | 7 * y = (2) + 5 = 7
2) Plot these point on the graph
I suggest to use diffrent colored points or diffrent kinds of point markers (an x or a dot) to avoid confusion about which point belongs to which graph
3) Using a ruler draw a line connection all the dots of one graph and do the same for the other
4) The point of intersection is the solution
<h2>Hello</h2>
The answers are:
a) The name of the function is g, and it's an Exponential Function.
b) Independent variable : x , dependent variable : g(x)/y
c) The rule that assigns exactly one output to the very input is called "function".
d) 
<h2>Why?</h2>
Usually, the name of a function (g(x)) is given by letter that is out of the parentheses. For this exercise, the name of the function is "g", and it's an Exponential Function.
The independent variable of a function is the variable we assign the different values. For this exercise, the independent variable is designated with the letter "x".
The dependent variable is the function itself (g(x)), it's also called "y", and it's called "dependent" variable because its values will always depend on the "independent variable".
A function is the rule that states that there is exactly one output (range value) to the each input (domain value). A function only exists when there is exactly one output value (range) for each input (domain), if there is more than one output for each input, the function does not exist.
To evaluate a function we need to assign values to the independent variable(x), therefore:
Have a nice day!
Answer:
-160
Step-by-step explanation:
