Answer:
Part 1) The rate of change is 
Part 2) The initial value is
Step-by-step explanation:
we know that
The linear equation in slope intercept form is equal to
where
m is the slope or rate of change
b is the y-intercept or initial value
step 1
Find the slope or rate of change
The formula to calculate the slope between two points is equal to
we have the points
(5,12)and (2,6)
substitute the values in the formula
therefore
The rate of change is
step 2
Find the initial value
we have
substitute in the equation
solve for b
---> initial value
The linear equation is equal to
The y-intercept or initial value is 2
The question has omitted options but i will solve, so you will just check my answer from the options you have.
Answer: The equation to find the value of x = 3x+ 2= 5x-4
The value of x= 3
Step-by-step explanation:
Step 1
The sum of 3 times the value of x and 2 is equal to four less than five times the value of x can be expressed as
3x+ 2= 5x-4
Step 2
Solving this equation to find the value of x , we have that
3x+ 2= 5x-4
3x-5x= -4-2
-2x= -6
x= -6/-2
x=3
To find the total of what you sold for each package, you'll need to write two equations. Know that x = paper plate packages and y = utensil packages.
First, x + y = 15 shows that there has to be fifteen packages, and 8x + 5y = 90 shows the $ made from selling a certain number of packages.
Next, you can solve by substitution, so change x + y = 15 to y = 15 - x.
To find our x, substitute the y in 8x + 5y = 90 to get
8x + 5(15 - x) = 90
Distribute: 8x + 75 - 5x = 90
Combine the X's and subtract the 75: 3x = 15
Divide the 3: x = 5
Now with our x, we can put 5 into the original equation x + y = 15 to get 5 + y = 15. Subtracting the 5, we get y = 10.
So, you have delivered 5 paper plate packages and 10 utensil packages.
Answer:
870 as it is the only number in the list which closest and lesser then 956.
(if you divide, then you get 10 as quotient and 86 as remainder)
we can also take 87 but the question mentions with multiples of 10.
Step-by-step explanation:
