Determine whether each equation represents a proportional relationship. If it does, identify the constant of proportionality. a. y = 0.5x - 2 b. y = 1,000x c. y = x + 1

${\displaystyle \left(9.5\times {10}^{11}\right)+\left(6.3\times {10}^9\right)}$

Please, tell why is two the only even number that is prime?

Solve, please:
${\displaystyle \frac{\sqrt{6^2–3^2–2}}{{(-3)}^2–4}}$

For the functions ${\displaystyle f\left(x\right)=10x-8\text{and}g\left(x\right)=5x+7}$, find the following.
${\displaystyle \left(a\right)(f+g)\left(x\right)}$
${\displaystyle \left(b\right)(f-g)\left(x\right)}$

You had $10,000 to invest. You put x dollars in a safe, government-insured certificate of deposit paying 5% per year. You invested the remainder of the money in noninsured corporate bonds paying 12% per year. Your total interest earned at the end of the year is given by the algebraic expression ${\displaystyle 0.05x+0.12(10,000-x)}$.
a. Simplify the algebraic expression.
b. Use each form of the algebraic expression to determine your total interest earned at the end of the year if you invested $6000 in the safe, government-insured certificate of deposit.

What is 136 times 118?

Solve the following equation algebraically. Round to 2 decimal places. Show all work.
${\displaystyle 5e^{x+2}-8=14}$