Answer:
absolute vlaue inequality: |x-3| > 9; solved: x<-6 and x>12
Step-by-step explanation:
I’m going to start this off by saying I learned all this right now by just searching up how to solve an absolute inequality equation and watching one video, so this might not be an accurate explanation. (I’m pretty sure the answer’s right though)
So an absolute value inequality must be written like this:
| x - a | *inequality* b
a is going to be the number that the inequality is centered around, in this case, 3. b will be how far you can deviate from that number, which in this case is 9.
Now, you will have this:
|x - 3| *inequality* 9
Now, to find the inequality, you need to understand the wording. If it says “more than” as it does here, then you would have the greater-than symbol (>). If you have “less than” then you’d have the less-than symbol (<). If the problem says “at least b away” then it would be greater-than-or-equal to (≥), and likewise, if it says “at most b away” then it would be less-than-or-equal-to (≤).
So now we're at:
|x - 3| > 9
To solve the equation, you just need to subtract 9(b) from 3(a) and add 9(a) to 3(b) to get -6 and 12. Since x must be more than 9 units away, you would get:
x<-6 and x>12
Hope this is helpful!
Answer:
57 square feet
Step-by-step explanation:
Split the boxes into two parts.
One box measuring 11.5 ft long and 3 ft wide. (Box A)
The second box measuring 7.5 ft long and 3 ft wide. (Box B)
Area (figure) = Area of box A + Area of box B
Area of box A
3 × 11.5 = 34.5 ft²
Area of box B
3 × 7.5 = 22.5 ft²
Area of figure = 34.5 + 22.5
Area of figure = 57 ft²
The answer to this question is D: 2. To solve this, you must work backwards, and what's the oppsite of addition? Subtraction! Take 2.34, your final answer, and subtract .34 from it, and you end up with 2! I hope this helped! Could I possible get brainliest?
I saw the figure of the fishpond. It composed of a rectangle and a circle. The circle is cut into two and each half is attached to the width of the rectangle making an oblong shaped fishpond.
Length of the rectangle: 2.5 inch
Width of the rectangle and diameter of the circle: 1 inch
1/2 inch equals 15 feet.
2.5 inches = 75 feet
1 inch = 30 feet
Area of a rectangle = 75 ft * 30 ft = 2,250 ft²
Area of a circle = 3.14 * (15ft)² = 3.14 * 225ft² = 706.50 ft²
Total Area = 2,250 ft² + 706.50 ft² = 2,956.50 ft²
Answer:
30 hours is the right answer
