Question

help

Answer 1

Tori works two jobs to pay for college. She tutors for $30 per hour and also works as a receptionist for $10 per hour. Due to her class and study schedule, Tori is only able to work up to 20 hours per week but must earn at least $200 per week. If t represents the number of hours Tori tutors and r represents the number of hours she works as a receptionist, which system of inequalities represents this scenario?

t + r greater than or equal to 20
30t + 10r = 200
t + r less than or greater to 20
30t + 10r less than or greater to 200
t + r less than or greater to 20
30t + 10r = 200
t + r less than or greater to 20
30t + 10r greater than or equal to 200

Answer 2

@mathstudent55

Answer 3

A system of linear inequalities is shown below:

y – x > 0
x + 1 < 0

Which of the following graphs best represents the solution set to this system of linear inequalities?

The first line is a dashed line which joins ordered pairs negative 1, 5 and negative 1, negative 4. The second line is a dashed line and joins ordered pairs negative 2, negative 2 and 4, 4. The portion common to the right of the first line and above the second line is shaded
The first line is a dashed line which joins ordered pairs negative 1, 5 and negative 1, negative 4. The second line is a dashed line and joins ordered pairs negative 2, negative 2 and 2, 2. The portion common to the left of the first line and above the second line is shaded
The first line is a dashed line which joins ordered pairs negative 1, 5 and negative 1, negative 4. The second line is a dashed line and joins ordered pairs negative 2, negative 2 and 2, 2. The portion common to the left of the first line, above the second line and below the x axis is shaded
The first line is a dashed line which joins ordered pairs negative 1, 5 and negative 1, negative 4. The second line is a dashed line and joins ordered pairs negative 2, negative 2 and 3, 3. The portion common to the leftof the first line and above the x axis is shaded

Answer 4

@Nnesha

Answer 5

@texaschic101

Answer 6

ok.....first one : t = tudor hrs and r = receptionist hrs
we are going to make an inequality that deals with just the hrs and one that deals with just the money.
she can only work up to 20 hrs per week
t + r <= 20 (less then or equal....she cannot work over 20 hrs)
she has to make at least $200
30t + 10r >= 200 ....(greater then or equal)..she cannot make less then 200
=================
any questions about this one ??

Answer 7

no

Answer 8

@triciaal may you help w. the second questionn please?

Answer 9

@texaschic101 may you help me or not!!!!

Answer 10

I know the answer but I am not sure how to explain
let me try

we are going to find the x and y intercepts of y - x > 0
put in y = mx + b form
y > x.....sub in 0 for x to find y int
y > 0

y > x ,,,sub in 0 for y to find x int
0 > x

so basically, since the x and y intercepts are (0,0), this line will go right through the origin (0,0) and since it is < greater then, it is shaded above the line.

x + 1 < 0
x < -1

now look at your graphs....which one has a line going through (0,0) and shaded above it ?

and which graph shows a vertical line going through up through -1 ?

Answer 11

that vertical line, since it is less then, is shaded to the left

Answer 12

y-x >0
y > x

Answer 13

a does

Answer 14

x + 1 < 0
x < -1

Answer 15

am i right @texaschic101

Answer 16

which side of the line shows y > x?