36
Twenty three fewer than a variable represented by z.
The procedure for factoring z2+7z+6 is as follows: First, we must look at the number in front of the first variable. In this case, it is a 1. Then we look at the last number in the expression, which is a 6 (the expression must be arranged in descending order by the exponents of the variables). Now, we multiply these two numbers together. 1 x 6 = 6 We need to factors of 6 that when added together equal 7. The factors of 6 are as follows 1 x 6 2 x 3 The first set of factors is the only set that adds up to equal 7. So now we break apart the middle term into 1 and 6, so that it looks like this: z2+z+6z+6 Now we group the expression like this (z2+z)+(6z+6) With the parenthesis like this, we can begin pulling out common factors, leaving the expression looking like this z(z+1)+6(z+1) Because the contents of the sets of parenthesis are the same, we can combine the z and the 6 to get the fully-factored expression (z+6)(z+1)
The expression "six is added to two-fifths of z" can be written as 6 + (2/5)z.
2
6/z
In the algebraic expression above z is an unknown variable.
z - 7
36
84/z
You may be referring to an independent variable, which is a quantity in a mathematical expression whose value does not depend upon variations in other quantities in that mathematical expression. For example, in the expression y=2x the variable y depends on the value of x and so is not independent, while in the expression z=x+y the variable z is dependent, but the variables x and y are both independent.
4xz=16
Twenty three fewer than a variable represented by z.
z = 3. If you mean (4*z + 6 )/3 then it is 6. (4*3 + 6) /3 = (12 + 6) /3 = 18/3 = 6 If you meant 4*z + (6/3) then it is 14. 4*3 + (6/3) = 12 + 2 = 14.
3(z+15)
z + 8 - 2 is an expression, not an equation. An expression cannot be solved. At best, you can simplify it to z + 6.
The algebraic expression "twice a number z" can be represented as 2z. In this expression, the variable z represents the unknown number, and multiplying it by 2 gives you twice that number. This expression can be used in algebraic equations and formulas to represent scenarios where a number needs to be doubled.