Answer:
Therefore the two values required are 2.08 and -11.08.
Step-by-step explanation:
i) f(x) =
+ 10x - 12 is a quadratic equation and a quadratic equation will have two roots whose values when substituted in to the given quadratic equation will give the value.
ii) The question is therefore essentially asking us to find the roots of the given quadratic equation.
This can be done by equating the given quadratic equation to zero and then solving the equation for its roots.
∴
+ 10x -12 = 0 ⇒ x = (-10 ±
) ÷ 2
= (-10 ± 12.166)÷2 = 2.08, -11.08
Therefore the two values required are 2.08 and -11.08
Answer:
3. x-2
Step-by-step explanation:
Let's start with 1. we know that 2-x is the same as -2+x and since addition can be written as -2+x or x+(-2) and equal the same thing, we know that x-2 is the one that is not equivalent.
The answer is 30
40 times 3/4 is 30
40 times .75 is also 30
I suppose you mean

Substitute y = √(9 + x). Solving for x gives x = y² - 9, so that 9 - x = 18 - y², and we have differential dx = 2y dy. Replacing everything in the integral gives

Simplify the integrand by dividing:


For the first term of this new integral, we have the partial fraction expansion


The rest is trivial:



