Step-by-step explanation:
4a=2a+4
C.L.T
4a-2a=4
2a=4
=2
Step-by-step explanation:
We need to choose all the expressions that are equal to 61.
(i) |−61| : It is true. Modulus of any negative number gives positive number. |-61|=61.
(ii) The opposite of −61 ; It is true. Opposite of negative is positive.
(iii) The opposite of 61 : It is false. The opposite of 61 gives -61.
(iv) distance from zero to −61 : It is true. Distance is positive always.
(v) −|61| : False. It remains negative.
(vi) −|−61| : False. It remains negative.
(vii) -(-61) : True. Double negative makes positive
.
Hence, the correct options are : (i), (ii), (iv), (vii).
Given:
To find:
The simplified rational expression by subtraction.
Solution:
Let us factor 
. It can be written as 
.
using algebraic identity.
LCM of 
Make the denominators same using LCM.
Multiply and divide the first term by (x + 1) to make the denominator same.
Now, denominators are same, you can subtract the fractions.
Expand 
.
You find the GCF of 10x³ and - 12x² and the GFC of 5x and - 6.
10x³ and - 12x² share a GCF of 2x². 5x and - 6 share a GCF of 1
So factoring 10x³ - 12x² + 5x - 6 becomes:
2x²(5x - 6) + 1(5x - 6).
Your factored equation and answer is (2x² + 1)(5x - 6)
It is a linear equation so there can be 1 solution, 0 solutions, or infinite solutions
4(x-5)=4x-24
distribute
4x -20 = 4x-24
subtract 4x from each side
-20 = -24
no solutions
