Answer:
x=¼
Step-by-step explanation:
3x+1+10x=x+4 (<em>Group</em><em> </em><em>like</em><em> </em><em>terms</em><em> </em>)
3x+10x-x=4-1
12x=3(Divide both sides by 12)
kira finished 2/5 of a puzzle in 1/5 of an hour. at this rate, how many puzzles could she finish in 1 hour?
1 answer:
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Answer:
Option A.
Step-by-step explanation:
Let
t ------> the number of additional toppings
c ----> the cost of the pizza in dollars
we know that
The linear equation that represent this situation is
This is the equation of the line in slope intercept form
where
the slope m is equal to
the y-intercept b is equal to
-----> the cost of a pizza without topping
Answer:
Function A has a greater initial value because the initial value for Function A is 6 and the initial vale for Function B is 3
Step-by-step explanation:
The data for Function A is presented here as follows;
The slope of the function, 'm', is given using any two points as follows;
m = (9 - 3)/((-1) - 1) = -3
The slope of the function = -3
The equation of function in point and slope form is given as follows;
y - 3 = -3·(x - 1)
The equation of Function A, is therefore, given as follows;
y = 3 - 3·x + 3 = 6 - 3·x
∴ y = 6 - 3·x
The equation of Function B is given as follows;
y = 6·x + 3
The initial value of a function is given by the y-intercept of the function, where the input variable (x-variable) is zero
The initial value, (y-intercept) of Function A, f(0) is therefore found as follows;
f(x) = y = 6 - 3·x
f(0) = 6 - 3×0 = 6
The initial value of Function A, f(0) = 6
Similarly, the initial value, (y-intercept) of Function B, f(0) is found as follows;
f(x) = y = 6·x + 3
f(0) = 6×0 + 3 = 3
The initial value of the Function B, f(0) = 3
Therefore, we have that Function A has a greater initial value than Function B