The table shows the cost for ordering a certain number of tacos what is the values of x if the cost is proportional to the number of tacos ordered?

9514 1404 393

  9. x = $7.80

  10. 440 miles

Step-by-step explanation:

9. The relationship is proportional. Each taco costs $2.60/2 = $1.30. The cost of 6 tacos can be found by doubling the cost of 3 tacos:

  x = 6-taco cost = 2 × 3-taco cost = 2 × $3.90

  x = $7.80

__

10. Apparently, we're to assume that miles driven is proportional to gallons used. Then we can drive m miles on 20 gallons of gas, where ...

  m/20 = 330/15

  m = (20/15)(330) = (4/3)(330)

  m = 440

440 miles can be driven on 20 gallons of gas.

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!

he can buy 4lbs. of live bait and 1lbs of natural bait

step-by-step explanation: