Answer:

Step-by-step explanation:
So we have the two functions:

And we want to find:

This is the same thing as:

So, substitute h(x) into g(x):

Distribute the negative:

And we're done!
So:

Let the year represents x axis and consumption represents y axis.
Since 2010 is the initial year, x=0
and 2013 is third year , so x=3
Co-ordinates are (0,8.938)(3,10.480)
Exponential formula is 
Putting the value of x in the above formula from 1st coordinate,

As
= 1
this gives a= 8.938
Now using the 2nd coordinate

putting the value of a in it we have

taking cube roots on both sides we get
b= 1.05448
Now putting the values of a and b in the exponential formula-

In the year 2028, x=28
so,

y= 39.474
Hence oil consumption per day in 2028 will be 39.474 million barrels.
5(2x + 5), because 10x and 25 only have 5 in common, which is why it's outside the bracket, and 5 × 2x is 10x, and 5 × 5 is 25. Hope this helps!
Answer:
True
Step-by-step explanation:
Answer:
Yes! The equation, y = 12x + 28 , work.
Step-by-step explanation:
The line passes through points (-1, 16) and (5, 88)
The slope of the line = change in y ÷ change in x
i.e slope =
= 12
Taking another point (x ,y) on the line;
Slope is
= 12
y - 16 = 12x + 12
y = 12x + 12 + 16
y = 12x + 28
So the equation, y = 12x + 28, work!