Answer:
Step-by-step explanation:
-4 - 7 + 10x = -7 + 6x...combine like terms
10x - 11 = 6x - 7
10x - 6x = -7 + 11
4x = 4
x = 4/4
x = 1.........ONE SOLUTION
Answer:
1
8
4
−
3
3
−
2
3
+
2
−
1
0
+
6
18
x
4
−
3
x
3
−
2
x
3
+
x
2
−
10
+
6
18x4−3x3−2x3+x2−10+6
1
8
4
−
3
3
−
2
3
+
2
−
4
18
x
4
−
3
x
3
−
2
x
3
+
x
2
−
4
18x4−3x3−2x3+x2−4
2
Combine like terms
Solution
1
8
4
−
5
3
+
2
−
4
Step-by-step explanation:
I believe it is referred to as The Substitution Method.
Answer:
x = 10
Step-by-step explanation:
3x - 5 = 2x + 5
3x - 5 + 5 = 2x + 5 + 5
3x = 2x + 10
3x - 2x = 2x - 2x + 10
1x = 10
x = 10
Answer:
Step-by-step explanation:
Given
Represent volume with v, height with h and radius with r
Required
Determine the values of h and r that uses the least amount of material
Volume is calculated as:
Substitute 432π for V
Divide through by π
Make h the subject:
Surface Area (A) of a cylinder is calculated as thus:
Substitute for h in
Factorize:
To minimize, we have to differentiate both sides and set
Set
Divide through by
Cross Multiply
Divide through by 2
Take cube roots of both sides
Recall that:
Hence, the dimension that requires the least amount of material is when