R = 6t.....subbing in (8,48).....t = 8 and r = 48
48 = 6(8)
48 = 48 (correct)
r = 6t...subbing in (13,78)...t = 13 and r = 78
78 = 6(13)
78 = 78 (correct)
so u have 2 sets of points on this line and they are (8,48) and (13,78)
Answer:
-6.64
Step-by-step explanation:
since you need to find the value of x , but all values to one side and have x on the other .. meaning :
2 1/3 -12.3 = 1.5x
now that you have this find the decimal value of 2 1/3
which is 2*3 +1 = 7/3
in decimal form is 2.33333...
now subtract (2.3333.. - 12.3 ) / 1.5
x = -6.6444
to 3 sf = -6.64
Answer:
G = 14 - 1.75(t)
Where G is the number of gallons of gas remaining;
14 represents the amount of gas in gallons in the full gas tank of the vehicle
t is the number of hours
Step-by-step explanation:
Here, we want to write an equation.
We are told that the car uses 1.75 gallons of gas every hour and after 4 hours 7 gallons were left
In the 4 hours, the amount of fuel used will be 1.75 * 4 = 7 gallons
So therefore since we have 7 gallons left, the amount of gallons in the full tank of the vehicle will be 7 + 7 = 14 gallons
Hence, the equation we want to write will be;
G = 14 - 1.75(t)
Given:

To find:

Solution:
We have,
and
.
Let the values of h and k are 2a and 5a respectively.
Let the values of x and y are 3b and 4b respectively.
We have,

It can be written as




On further simplification, we get




Now,




On further simplification, we get




Therefore, the ratio
is
.
To express a function of the form

in vertex form

where (h,k) is the vertex of the parabola, we need to find the vertex first.
To find the vertex we are going to use the vertex formula:

, and

will be the function evaluated at

.
We can infer from our function that

and

. So lets find

:




Now that we have

, we can evaluate the function at 1 to find

:




We have the vertex (1,3) of our parabola, so we can use its vertex form:



We can conclude that the vertex for of our parabola is <span>f(x) = (x + 1)2 + 3.</span>