Answer:
See below.
Step-by-step explanation:
It can really help to think when you see |expression| that it means the distance from expression to zero.
(a) |x| < 7 means the distance from x to 0 is less than 7. That puts x between -7 and 7. The solution set is -7 < x < 7.
(b) |x + 3| < 9 means that the distance from x + 3 to 0 is less than 9. That puts x + 3 between -9 and 9:
-9 < x + 3 < 9 Now subtract 3 from all three parts.
-12 < x < 6
(c) |y - 8| > 11 means that the distance from y - 8 to 0 is more than 11 units. That puts y - 8 in one of two places: left of -11 or right of 11.
(g)
means that the distance from 3x - 1 to 0 is more than (or equal to) 18. Another way to say it is, 3x - 1 is farther from 0 than 18 units. That puts 3x - 1 in one of two places: to the left of -18 or to the right of 18.

means that 4y + 3 is closer to 0 than 13; it is between -13 and 13.

(That last fraction is 10/4 simplified.)
Answer:
<em>The dimensions of the area will be 8 ft x 40 ft</em>
Step-by-step explanation:
<u>Area and Perimeter</u>
The perimeter can be understood as the distance measured around a shape. The area gives us the idea of the space occupied by the shape. Being w and l the width and length of a rectangle, the perimeter and areas can be computed as follows


The dog trainer has 96 ft of fencing to cover a
rectangular area. This means that


A system of equations is formed

We divide the last equation by 2

solve for w

Replacing in the first equation

Operating and arranging


We have two possible answers

Which gives us

In any case, the dimensions of the area will be 8 ft x 40 ft
The total means add so,
42 + 75 + 189 + 301 + 728 = 1,335
Answer is C.
Answer:
4x^2+8x-5
Step-by-step explanation:
You work backwards to get (2x-1) which gets you the root 1/2 and (2x+5) which gets you the root -5/2 after this you foil what you have so (2x-1) times (2x+5). You do 2x times 2x which gives you 4x^2 2x times 5 which gives you 10x -1 times 2x which gives -2x and lastly -1 times 5 which gives you -5 now you combine like terms and get your final answer of 4x^2+8x-5
Solve for x in each set of parentheses by setting them to 0:
X -8 = 0
X = 8
X+9 = 0
X =-9
You have two x intercepts (8,0) and (-9,0)
You didn’t list any choices to pick from but it would be either if the ones above.