Answer:
2x² - 9x - 35
Step-by-step explanation:
f(x) × g(x) = (x - 7)(2x + 5)
Each term in the second factor is multiplied by each term in the first factor, that is
x(2x + 5) - 7(2x + 5) ← distribute both parenthesis
= 2x² + 5x - 14x - 35 ← collect like terms
= 2x² - 9x - 35
Answer:
Step-by-step explanation:
You have to use the discriminant for this. If the quadratic is
, then
a = -4, b = -3, and c = 7. The formula for finding the discriminant is
which comes from the quadratic formula, but without the square root sign. Filling in:
which simplifies down to
D = 9 + 112 so
D = 121. This is a perfect square, so the solutions will be 2 real. Just so you know, you will NEVER have a solution like the one offered in the third choice down. If you have one imaginary root, you will ALWAYS have a second by the conjugate rule.
Step-by-step explanation:Updated answer is the second one
They are essentially asking us to solve:

Solving this equation for x tells us that it will take around 80.1 years for the materials in the vault to reduce to 357 pounds.
So 2680 divided by 100 is 26.80 which is 1%, times 26.80 by 5 to get 5% = £134, £2680+134= £2814