Answer:
Explanation:
First we find what x is:
x + 1/x = 12
x + 1 = 12x
1 = 12x - x
1 = 11x
1/11 = x
Or x = 1/11
Plug x value in x^3 + 1/x^3
(1/11)^3 + 1/(1/11)^3
= (1^3/11^3)+ 1/(1^3/11^3)
= (1/1331 + 1)/1/1331
= (1/1331 + 1331/1331)/1/1331
= 1332/1331 x 1331/1
= 1332/1
= 1332
Therefore, x^3 + 1/x^3 = 1332
Answer:
D) Multiply A by -4 and B by 5
Step-by-step explanation:
5x-2y=10
4x+3y=7
----------------
-4(5x-2y)=-4(10)
5(4x+3y)=5(7)
----------------------
-20x+8y=-40
20x+15y=35
---------------------
23y=-5
y=-5/23
5x-2(-5/23)=10
5x+10/23=10
5x=10-10/23
5x=230/23-10/23
5x=220/23
x=(220/23)/5
x=(220/23)(1/5)
x=220/115
x=44/23
This depends as to whether you are just multiplying the square root by 3, or are doing a cube root function. In a cube root, the 3 would be located just at the bent part of the square root symbol, usually in a smaller font. If one just wanted to multiply a square root by 3, it does not matter whether or not the 3 comes before or after the root.
A cube root is equal to a value to the power of (1/3).
I hope this helps
Answer:
Step-by-step explanation:
Given
Find the length of HG
First, it should be noted that the displayed figure is a trapezium
<em>The area of a trapezium is calculated by multiplying the sum of parallel sides by half its height;</em>
In this case;
Substitute the values of Area, HE and EF
Divide both sides by 4
Subtract 12 from both sides
<em>Hence, the length of HG is 5mm</em>
Answer:
(4x+4)
Step-by-step explanation:
h(x)=5x+6
k(x)=9x-2
(k-h)(x)= (9x-2-5x+6)
9x-5x=4x -2+6=4
(k-h)(x)= (4x+4)
