Answer:
y=3/4x +3
Step-by-step explanation:
Find the slope first. y-y over x-x
Y: 9-6 =3
X 8-4 = 4
so the slope is 3/4
Now choose one of the ordered pairs to use to substitute to find the y intercept or "b" in y=mx + b
I chose 4,6 since the slope has a 4 in the denominator
Use y=mx + b
Y =6 from ordered pair m/slope= 3/4 x= 4 from ordered pair and you are looking for b
6= 3/4 (4) + b
6= 12/4 or 3 + b subtract 3 from both sides
3= b
equation is y=3/4x +3
Answer:
14.64 cents
Step-by-step explanation:
5(5/14) + 10(3/14) + 25(6/14)
= 205/14
Approx. 14.64 cents
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
Answer:
56.4
Step-by-step explanation:
To convert decimal number 86.25, we convert its integer and fraction part individually and then add them to get the equivalent hexadecimal number, as below:
To convert integer 86 to hexadecimal, follow these steps:
Divide 86 by 16 keeping notice of the quotient and the remainder. Continue dividing the quotient by 2 until you get a quotient of zero.
Then just write out the remainders in the reverse order to get the equivalent hexadecimal number.
86 / 16 = 5 with remainder 6
5 / 16 = 0 with remainder 5
Here is the answer to 86 decimal to hexadecimal number:
56
For converting decimal fraction 0.25 to hexadecimal number, follow these steps:
Multiply 0.25 by 16 keeping notice of the resulting integer and fractional part. Continue multiplying by 16 until you get a resulting fractional part equal to zero (we calcuclate upto ten digits).
Then just write out the integer parts from the results of each multiplication to get equivalent hexadecimal number.
0.25 × 16 = 4 + 0
Here is the answer to 0.25 decimal to hexadecimal number:
0.4
Therefore, decimal number 86.25 converted to hexadecimal is equal: 56.4