(5, - 27) and ( - 2, 8)

Since both equations express y in terms of x , we can equate the right sides

x² - 8x - 12 = - x² - 2x + 8

rearrange into standard form ( ax² + bx + c = 0 )

2x² - 6x - 20 = 0 ( divide through by 2 )

x² - 3x - 10 = 0

(x - 5)(x + 2) = 0 ( equate each factor to zero and solve for x )

x - 5 = 0 ⇒ x = 5

x + 2 = 0 ⇒ x = -2

Substitute these values into either of the 2 equations for y

x = - 5 → y = 25 - 40 - 12 = - 27 ( using x² - 8x - 12 )

x = - 2 → y = 4 + 16 - 12 = 8

solutions : (5, - 27) or ( - 2, 8 )

Answer: Each pen cost $0.75

Step-by-step explanation:

If A LaDawn buys a pack of 10 gel pens and the total cost is $7.50 then you divide 7.50 by 10.

In the Expression(6 - 9t+8), 9t represents **coefficient and variable.**

<u>**Explanation:**</u>

An algebraic expression usually consists of constants, variables and, at least one arithmetic operators like addition, subtraction and coefficients.Variable can be any alphabetic letter from A to Z and it represents a certain unknown mathematical value.Coefficient can be any number being multiplied by a variable.

In the given expression, 6-9t+8 , **9 is the coefficient** being multiplied by **variable ‘t ‘** . So 9t represents coefficient and variable.

**Answer:**

37

**Step-by-step explanation:**

Plug 5 in for b .

7.4 * 5 = 37