PLEASE HELP, I HAVE ONE WEEK OF SCHOOL!

9514 1404 393

  2.  (b) 6 feet by 18 feet

  3.  -5, -1

Step-by-step explanation:

2. Perhaps the easiest way to answer this is to check to see what the areas are of the offered choices:

  a) 7·19 = 133 . . . . numbers are odd, so the answer is odd, incorrect

  b) 6·18 = 108 . . . . correct choice

  c) 12·24 = 288

  d) 5·17 = 85 . . . . again an odd number

__

If you were to solve this by factoring, you would be looking for factors of 108 that have a difference of 12.

  108 = 1·108 = 2·54 = 3·36 = 4·27 = 6·18 = 9·12

The differences are 107, 52, 33, 23, 12, 3. The dimensions you want are 6 and 18 feet.

3. Completing the square is easier if the quadratic has a leading coefficient of 1. Here, all of the coefficients are divisible by 2, so we can simplify this to ...

  x^2 +6x = -5 . . . . . . divide both sides by 2

Now, we complete the square by adding the square of half the linear term coefficient.

  x^2 +6x +9 = 4 . . . . add (6/2)^2 = 9 to both sides

  (x +3)^2 = 4 . . . . .  write as a square

  x +3 = ±2 . . . . . . . take the square root

  x = -3 ±2 = -5, -1 . . . . add -3 to both sides

The solutions are -5 and -1.

if a = 1,   and b = 2, then the answer is 47.99999999. if you round that to the nearest whole number, the answer is 48.

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