step-by-step explanation:
since it tells you the equation 'y = 20x' and y is the number of gallons where as x is minutes
the independent variable = number of gallons
the dependent variable = minutes
and the number(s) to fill in the table
x , y
( 0, 0 )
( 1, 20 )
( 2, 40 )
( 3, 60 )
( 4, 80 )
and the relationship between x and y is linear because you can clearly see the graph having especially a straight line that is not interfering with itself
hope this helps you! :)
Answer:
(x) =
x + 7
Step-by-step explanation:
let y = f(x) and rearrange making x the subject, that is
y = 3(x - 9) + 6 ← distribute and simplify right side
y = 3x - 27 + 6 = 3x - 21 ( add 21 to both sides )
y + 21 = 3x ( divide all terms by 3 )
y + 7 = x
Change y back into terms of x with x =
(x) , thus
(x) =
x + 7
Perimeter is 2 x length + 2 x width
We can write that as...
P=2L+2W
We also know the length and perimeter so we substitute and solve like this
90=2 x 27 + 2W
90=54+2W
90-54=54-54+2W (property of subtraction equality)
36=2W
Divide by 2 (property of division equality)
W=18
Thus, the width of the rectangle is 18 cm
Answer:
a+2b²-b (correct order is 2b²+a-b)
Step-by-step explanation:
combine like terms ( terms with the same variable and are to the same power) so thats 5b² and -3b² and 2a and -a. the -b doesnt have any like terms so leave that alone for now. combine like terms 5b²-3b² is 2b² and 2a-a is a. so you have 2b²+a and plug in the -b so you get 2b²+a-b.
Answer:
5.7
Step-by-step explanation: