First of all, we can observe that
So the expression becomes
This means that the expression is defined for every 
Now, since the denominator is always positive (when it exists), the fraction can only be positive if the denominator is also positive: we must ask
Since we can't accept 3 as an answer, the actual solution set is
![(-\infty,-2] \cup [2,3) \cup (3,\infty)](https://tex.z-dn.net/?f=%28-%5Cinfty%2C-2%5D%20%5Ccup%20%5B2%2C3%29%20%5Ccup%20%283%2C%5Cinfty%29)
Ratio triangle height to square side 7:8
ratio triangle base to square side 1:2
Area of the square is 64 in² then the sides = 8 in
ratios give
h = 7(8)/8
h = 7
b = 8/2
b = 4
Area Triangle = 0.5(7)(4)
= 14
Then shaded region is the Area of the square minus the Area of the triangle.
A = 64 - 14
A = 50 in²
Answer: d≤69
Step-by-step explanation:
You would plug in all the values for d into the inequality
40(81) + 240 ≤ 3000
40(81) + 240 = 3000
3240+240=3000
3480=3000 false
40(75) + 240 ≤ 3000
40(75) + 240 = 3000
3000+240=3000
3240=3000 false
40(69) + 240 ≤ 3000
40(69) + 240 = 3000
2760+240=3000
3000=3000 true
You don't need to try the last one because you already found this one!
Answer:
198 inches^3
Step-by-step explanation:
Volume of a rectangular prism = Length × width × height
Length = 11 inches
Width = 6 inches
Height= 3 inches
Volume of a rectangular prism = Length × width × height
= 11 inches × 6 inches × 3 inches
= 198 inches^3
The volume of the rectangular prism with dimensions 11 inches long, 6 inches wide, 3 inches high is 198 cubic inches
Answer:
Step-by-step explanation:
Choosing a white pen from box a
