First part: 1 is less than the sum of x and 3: 1 < x+3.
Second part: the sum of x and 3 is less than 9.
Obviously 1 < 9.
Taking another look at 1<x+3, we can solve for x: -2<x. Draw a dashed vertical line thru x = -2.
Taking another look at x+3<9, subtract 3 from both sides. Then x<6.
Draw a dashed vertical line thru x=6.
Shade the area between these two vertical lines to obtain the desired graph.
Answer:
780 cubic inches
Step-by-step explanation:
Step one:
Given data
The bottom surface of the box has an area of 65 square inches.
Already given an area and a height of 12 in
we proceed to find the volume by multiplying Area and height
Required
The volume of the box
Volume= Area* height
Step two:
Volume= 65*12
Volume = 780 cubic inches
Area of the square:
A = s²
and s = AB = sqrt ( ( 4 - 1 )² + ( 3 - 1 )² )
s = √ ( 9 + 4 ) = √ 13
A = ( √13 )² = 13
Answer: Area of the square is 13 units².
Answer:
The answer to your question is the second choice
Step-by-step explanation:
4x/ (x - 7) - (x +7) / x
- Find the greatest common factor from x and (x - 7)
GCF = x(x - 7)
- Substract the terms
[4x(x) - (x + 7)(x - 7)] / x(x - 7)
- Simplify
[ 4x² - x² + 49] / x(x - 7)
[ 3x² + 49] / x(x - 7)
- Result
3x² + 49 / x(x - 7)
Answer:
2a²
Step-by-step explanation:
Pair 'like' terms with 'like' terms, ie numbers go with numbers, and 'a's go with 'a's.
Lets deal with the top of the fraction first:
4ax3a³
Rearrange it so you have numbers beside numbers and 'a's beside 'a's:
(4x3)x(axa³)
12x(a⁴) <em>(because nᵃxnᵇ=nᵃ⁺ᵇ)</em>
12a⁴
Now, instead of (4ax3a³)/6a², we have 12a⁴/6a²
First divide the numbers: 12/6 =2
Now divide the 'a' parts: a⁴/a²=a² <em>(because nᵃ/nᵇ=nᵃ⁻ᵇ)</em>
Now we have 2a²
