Answer:
defines the gallons of the gas consumed by the old car in one year.
Step-by-step explanation:
If I purchase a car, I will definitely concentrate on a factor that is gas consumed by the car in a year.
As per statement given in the question if gas is $3.45 per gallon and I drive an average of 18000 miles per year.
If x miles per gallons is the average of the old car and y miles per gallons is the average of of new car.
Then total difference in gallons of the gas consumed by the old and new cars will be represented by the equation.
g(x) = 3.45 - 3.45
Here, defines total number of gallons of the gas consumed by the old car in one year.
Vertex form of an equation for a parabola looks like this:
f(x) = a(x-h)² + k
(h,k) is the vertex. Just plug in the values (3,-2)
f(x) = a(x-3)² - 2
Now use the point (5,-1) to find "a" so that the equation goes through that point.
-1 = a(5-3)² - 2
-1 = a(2)² - 2
-1 = 4a - 2
-1 + 2 = 4a
1 = 4a
1/4 = a
put that into the equation to get the answer
f(x) = (1/4)(x - 3)² - 2
Plot the intercepts:
y=-1
x=?
to find the x intercept, you dont solve the equation as it is solved in the slope-intercept form. instead, you simply plug in 0 for y:
0=1/4x-4
0=1/4x-4+4
4=1/4x
4/1/4=1/4x
1/4=0.25
x=16
revise:
y=(0, -1)
x=(16,0)
graph the slope for y=-1/2x-1: start from say point (0,-1)
graph the slope for y=1/4x-4: start from say point (16,0) ; you can just ise the intercept (0,-4) since the graph is diluted small...anyways
the points intersect at (4, -3) so thats the solution to the equations
NOTE: when graphing slopes that are negative either the numerator or the denominator can be graphed negative. so I graphed the first equation with the numerator as the positive and the denominator as the negative : rise= 1 ; run: -2. once i got to the end of the provided graph i started from the -1 y-intercept again and graphed the equation using: rise=-1; run=2
*graphing messes me up, too*
Answer:
There would be 9 roses.
Step-by-step explanation:
The ratio began as 3 to 5 so in all there were 8 flowers.
If there are 24 , being that 8 x 3 = 24, then all you have to is multiply both sides of the ratio by 3.
3 x 3 = 9
5 x 3 = 15
9 + 15 = 24
New ratio is 9 to 15