Use the equation y= -2+1. complete each problem(0,_)      (-5,_)      (20,_)      (-68,_)

The solution to the given algebraic expression (x - 2)(x + 10) = 13 is x = 3

What is an algebraic equation?

An algebraic equation is the combination of variables and their coefficients(usually numbers) with arithmetic operations. The main purpose of an algebraic expression is to determine the value(s) of the variable(s).

From the given information:

(x - 2)(x + 10) = 13

x² + 10x - 2x - 20 = 13

x² + 8x -20 -13

x² + 8x - 33 = 0 (quadratic equation)

Using the quadratic formula, the values of x are - 11 and 3. Since we are considering only the positive integer only, x = 3

Learn more about algebraic equations here:

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Answer: X=3

Step-by-step explanation:

1. expand the equation

x^2 + 10x -2x -20 = 13

2. Collect like terms

x^2 + 8x - 20 = 13

3. Simplify

x^2 + 8x = 13 + 20

x^2 + 8x = 33

x^2 = 33 - 8x

4. Substitute answers for guess and check

3^2 = 33 - (8 x 3)

9 = 33 - 24

This equation is correct therefore x = 3

Answer:

So you can either buy all roses or all carnations, or spend $30 on each kind:

12 roses

10 carnations

6 roses & 5 carnations

Step-by-step explanation:

If you buy a combination of roses and carnations, the amount of money you spend on each has to be a multiple of both 5 and 6. Since these are relatively prime, their least common is 5(6) = 30.

note: the reason it has to be a common multiple of 5 and 6 is because the total amount - 60 - is a common multiple.