Final answer:
The variable in the equation 7t + -6 = 45 is t, the constant term is -6, and the operation shown is the sum of 7t and -6. The equation 7t – 6 = 45 would give the same answer as subtracting a negative is equivalent to adding.
Step-by-step explanation:
For the equation 7t + -6 = 45:
- A. The variable is t.
- B. A constant term is -6.
- C. This equation shows the sum for 7t and -6.
- D. The equation 7t – 6 = 45 would give the same answer as the one above because subtracting a negative is the same as adding a positive.
To solve an equation like this, you would first add 6 to both sides to isolate the variable term. After that, you would divide both sides by 7 to solve for t. Such problems involve understanding variable manipulation, constant terms, and operations such as addition, subtraction, multiplication, and division.
However, if you are asked to solve quadratic equations using the quadratic formula, you would follow a different process. A quadratic equation has the form at² + bt + c = 0, and its solutions are given by the quadratic formula. In this case, you would first rearrange the equation to equal zero, and then follow the steps to apply the formula.