Answer:
The coefficient of the squared expression in the parabola equation is
Step-by-step explanation:
The equation of a parabola in its vertex form is:
Where the vertex of the parabola is the point (h, k)
a is the ceoficiente of the term to the square.
We need to find the equation of a parabola that has its vertex in the point:
(-5, -2)
So:
Therefore the equation is:
We know that the point (-4, 2) belongs to this parable. Then we can find the value of a by replacing the point in the equation of the parabola
Finally the coefficient is a = 4
Answer:
Step-by-step explanation:
see the attached figure to better understand the problem
Let
c -----> the cost of some taxi journeys
n ----> the number of miles
we know that
The graph is a line
The equation of a line in slope intercept form is
where
m is the slope
b is the c-intercept (value of c when the value of n is equal to zero)
Observing the graph we have the points
(0,2.5), (5,5.5)
<em>Find the slope</em>
The formula to calculate the slope between two points is equal to
substitute the values
we have
-----> because the point (0,2.5) is the c-intercept
substitute in the equation of slope-intercept form
Answer:
250
Step-by-step explanation:
52%-> 130
100%-> 250
Answer:
A = 4 in^2
Step-by-step explanation:
The area is given by
A = l*w
A = 1in * 4 in
A = 4 in^2
Answer:
Equation:
Solve for n: n = 112
Step-by-step explanation:
To first set up the equation, you need to look at the verbal description and translate into numbers and operations:
'three fourths a number' =
'plus 8' = + 8
'is' =
'20 less' = - 20
'the number' = n
Put the expressions together:
'three fourths a number plus 8':
'20 less than the number': n - 20
Set them equal to each other and solve:
Add 20 to both sides:
Subtract from both sides:
Multiply both sides by :
Solve for n: n = 112