One Red Apple and 4 Golden apple cost \($1.65\), whereas 2 Red Apples and 3 Golden Apples cost \($1.55\). How much does each type of Apple cost?

golden apple = cents, red apple = cents

Correct

Incorrect

Question 3 of 10

3. Question

The standard form of \(2\left( {{x^2} – 6x + 2} \right) = 3\left( {2{x^2} – 2x + 4} \right)\) is \(a{x^2} + bx + c = 0\). Find \(a \), \(b \) and \(c \).

The solutions of \({x^2} – 7x + 3 = 0\) are \(\dfrac{{A \pm \sqrt B }}{C}\). Find \(A\), \(B\) and \(C\).

\(A = \) , \(B = \) , \(C = \)

Correct

Incorrect

Question 9 of 10

9. Question

Use the quadratic formula find \(A\), \(B\) and \(C\) if the solutions of \(2{x^2} – 4x + 1 = 0\) are \(\dfrac{{A \pm \sqrt B }}{C}\) in its simplest form.

\(A = \) , \(B = \) , \(C = \)

Correct

Incorrect

Hint

\(\begin{align} \displaystyle a{x^2} + bx + c &= 0\\ x &= \dfrac{{ – b \pm \sqrt {{b^2} – 4ac} }}{{2a}} \end{align}\)

Question 10 of 10

10. Question

The total profit, \(p\), for a new product, measured in thousands of dollars, is determined by its selling price, \(s\), in dollars according to the formula \(p = – {\left( {s – 5} \right)^2} + 49\). Find the selling price of the product which gives a profit of \($13 000\).