Which of the following correctly translates this equation? A.5x+7= 10x - 3
Five times a number increased by 7 is 10 times the same
number subtracted from 3
B. The product of 7 and a number plus 5 is 10 times the same
number minus 3
C. Five times a number plus 7 is 3 less than 10 times the same
number
D. Seven more than 5 times a number is the product of 3 and
the same number decreased by 10

C

Step-by-step explanation:

five times a number = 5x

plus 7 = 5x+7

is 3 less 10 times the same number = 10x - 3

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