the answer should be 1 1\3 that equals one hour.
The slant height of the pyramid is 756 feet
Let the number of large bookcases be x and number of small bookcases be y, then
Maximise P = 80x + 50y;
subkect to:
6x + 2y ≤ 24
x, y ≥ 2
The corner points are (2, 2), (2, 6), (3.333, 2)
For (2, 2): P = 80(2) + 50(2) = 160 + 100 = 260
For (2, 6): P = 80(2) + 50(6) = 160 + 300 = 460
For (3.333, 2): P = 80(3.333) + 50(2) = 266.67 + 100 = 366.67
Therefore, for maximum profit, he should produce 2 large bookcases and 6 small bookcases.
Answer:
35triangles
Step-by-step explanation:
Given
Total distinct points = 7
If we are to form triangles using the dots,
Total points in a triangle = 3
Using the combination rule;
number of triangles formed = 7C3
7C3 = 7!/(7-3)!3!
7C3 = 7!/4!3!
7C3 = 7*6*5*4!/4!3!
7C3 = 7*6*5/6
7C3 = 7*5
7C3 = 35
Hence the amount of triangles that can be formed is 35triangles
Answer:
x = 3 + √6 ; x = 3 - √6 ; 
; 
Step-by-step explanation:
Relation given in the question:
(x² − 6x +3)(2x² − 4x − 7) = 0
Now,
for the above relation to be true the following condition must be followed:
Either (x² − 6x +3) = 0 ............(1)
or
(2x² − 4x − 7) = 0 ..........(2)
now considering the equation (1)
(x² − 6x +3) = 0
the roots can be found out as:
for the equation ax² + bx + c = 0
thus,
the roots are
or
or
and, x = 
or
and, x = 
or
x = 3 + √6 and x = 3 - √6
similarly for (2x² − 4x − 7) = 0.
we have
the roots are
or
or
and, x = 
or
and, x = 
or
and, x = 
or
and,
Hence, the possible roots are
x = 3 + √6 ; x = 3 - √6 ; ;
