We are given: \((x-7)(x+8)\)

Apply distributive property: \(a(b+c)=ab+ac =x(x-7)+8(x-7) =\)\(\displaystyle{x}^{{2}}-{7}{x}+{8}{x}-{56}\)

Combine like terms: \(\displaystyle{x}^{{2}}+{x}-{56}\)

Question

asked 2021-06-13

A trust fund has $200,000 to invest. Three alternative investments have been identified, earning 10 percent, 7 percent, and 8 percent, respectively. A goal has been set to earn an annual income of $16,000 on the total investment. One condition set by the trust is that the combined investment in alternatives 2 and 3 should be triple the amount invested in alternative 1. Determine the amount of money which should be invested in each option to satisfy the requirements of the trust fund.

asked 2020-11-10

asked 2021-01-19

\(\begin{cases}x=-2y-2\\2x+5y=-7\end{cases}\)

asked 2021-02-13

Is (3,8) a solution to this system of equations?

\(y=7x+8\)

\(y=x+1\)

-True

-False