Answer:
the vertex is (-5,1)
Step-by-step explanation:
hoped I helped:)
Answer:
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form 
or 
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
Let
x -----> the number of minutes
y ----> the water level in centimeters
In this problem we have a proportional relationship between the variables x and y
Find the value of k
For x=6 min, y=11 cm
-----> the slope is equal to the constant of proportionality k
The linear equation is
so
For (12,y)
we have
x=12 min
substitute in the equation and solve for y
Answer:
Step-by-step explanation:
120G + 400E = 73.60
400E = 73.60 - 120G
E = 0.184 - 0.3G
200G + 350E = 72.00
200G + 350(0.184 - 0.3G) = 72.00
200G + 64.4 - 105G = 72.00
95G = 7.60
G = $0.08/unit
3 is the greatest number of book shelves Andy can use. I solved this by finding the greatest comment factor of 9 and 6, which turned out to be 3.
6/3=2(reading books per shelf)
9/3=3(math books per shelf)
Every shelf there are two reading books and 3 math books
Step-by-step explanation:
The question does not state expressly what we are expected to solve for,
but we can proceed with the definition of terms in the given equation, and solve for the monthly cost y assuming a particular value for x the number of text
The given equation is the same as the equation of a straight line
y= mx+c
Now comparing the given equation with the straight-line equation
we can see that the $5 is a flat fee paid monthly which is the constant term
say we set the number of texts sent in a month is 400.
we can calculate the monthly cost as
y= 0.14(400)+5
y= 56+5
y=$61
The monthly cost as a result of sending 400 texts is $61
