100 points:

1. what is the solution to the system of equations?

3x- 6y= -12
x - 2y= 10

2. use the linear combination method to solve the system of equations. explain each step of your solution

3x - 8y= 7
x + 2y= -7

3. mr. sanchez’s class sold fruit ples for $1.55 each and mr. kelly’s class sold bottles of fruit juice for $1.40 each. together, the classes sold 60 items and earned $88.20 for their school

(a) write and solve a system of equations that model the problem. show all your work

(b) which class earned more money?

(c) how much more money did that class earn?

y = x + 95

y = 42 + 95

y=137 mm hg

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!

4a. is 3 miles every hour

4b. is 1/3 of an hour per mile

step-by-step explanation:

step-by-step explanation:

use context clues to figure out the meaning of the bolded word:  

the sage gardener knew when she had to water her plants.  

question 8 options:

mint plant

wise

happy

lazy