146k views
0 votes
Pls help!! I seriously don’t get anything

Pls help!! I seriously don’t get anything-example-1
User Joec
by
8.6k points

1 Answer

5 votes

(1)

distribute parenthesis on both sides of the equation and simplify

10r - 30 = 4r + 52 - 10r - 50

10r - 30 = - 6r + 2 ( add 6r to both sides )

16r - 30 = 2 ( add 30 to both sides )

16r = 32 ( divide both sides by 16 )

r = 2

(2)

distribute parenthesis

- 0.5x + 5 < 12 ( subtract 5 from both sides )

- 0.5x < 7

divide both sides by - 0.5, remembering to reverse the inequality symbol as a consequence

x > - 14 → (C)

(3)

obtain the equation of the line in slope-intercept form

y = mx + c ( m is the slope and c the y-intercept )

calculate the slope using the gradient formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (3, - 3 ) ← 2 points on the line

m =
(-3-2)/(3-0) = -
(5)/(3)

the y-intercept = (0, 2 ) ⇒ c = 2

y = -
(5)/(3) + 2 ← equation of line

the shaded area ( the solution ) is below the line which is solid, thus

y ≤ -
(5)/(3) x + 2 → (B)

(4)

This data can only be a function if each value of x maps to exactly one value of y

The only values satisfying this criteria are B, C and D

as 0 → 1 and - 3 → - 1 so cannot map to other values of y













User Benjamin Cuningham
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories