Keith has $500 in a savings account at the beginning of the year. he wants to have at least $150 in the account by the end of june. he withdraws $30 each week for food and gas. write an inequality that represents keith's situation

500 - 24x ≥ 150

Step-by-step explanation:

It is given that there is a $500 balance in Keith's savings account at the start of the year.

By the end of June, he must have a $150 balance in his account.

Now, there are (6 × 4) = 24 weeks from the start of January to the end of June.  

If he withdraws $x per week, then the inequality that shows Keith's situation will be 500 - 24x ≥ 150 (1) (Answer)

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true

b. ol

step-by-step explanation:

i got the answer right on edg.

congruent: (geometry) (of figures) identical in form; coinciding exactly when superimposed.