I think the easiest way to answer all of these is to just go ahead and find the equation of the line first.
I'm pretty sure that by the time you reach this problem, you've learned to find
the equation of a line that passes through two given points. You have two points: (2, 100) and (5, 205). The equation of the line through them is [ y = 35x + 30 ].
6). The initial membership fee ... the cost for walking in the door and signing up,
before any months, is $30. (Also the y-intercept.)
7). The cost per month is $35. (The slope of the line.)
8). We already did that, up above. [ y = 35x + 30 ].
9). 'x' in the equation is the number of months.
There are 12 months in one year.
y = 35(12) + 30 = $450
Answer:
Part A) The graph in the attached figure
Part B) see the explanation
Step-by-step explanation:
Part A) Graph the function
we have the quadratic function

This is a vertical parabola open upward
The vertex is a minimum
using a graphing tool
The graph in the attached figure
Part B) What are the values of a, b and c?
we know that
The values of a and b represent the x-intercepts of the quadratic equation
The x-intercepts are
(-2,0) and (6,0)
so

Find the value of c
we know that
The x-coordinate of the vertex in a vertical parabola is equal to the midpoint of the roots
so
The value of c is equal to

substitute the given values

see the attached figure
Answer:
67 Inches
Step-by-step explanation:
There are 3 feet in a yard and 12*3 is 36 inches in a yard therefor 67 inches is larger
Answer:
5/6
Step-by-step explanation:
1/2=3/6
1/3=2/6
______
5/6
Answer:
13
Step-by-step explanation:
The formula is a^2+b^2=c^2
A and B are the lines that make up the right angle, so 5 and 12
5^2+12^2=c^2
25+144=c^2
169=c^2
Once you arrived here you square root whatever is equal to c^2
c=13