Which of the following points lie in the solution set to the following system of inequalities? (1 point) y ≤ x − 5 y ≤ −x − 4 (1, 10) (1, −10) (10, 1) (−1, 10)

the solution is the point

Step-by-step explanation:

we have

 -------> inequality A

 -------> inequality B

The solution of the system of inequalities is the shaded area

see the attached figure

We know that

If a point is a solution of the system of inequalities

then

the point must be on the shaded area of the solution of the system of inequalities    

so

Plot the points and verify if they are on the shaded area

the solution is the point

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is