Answer: Second option.
Step-by-step explanation:
By defintion, a Quadratic function is a polynomial of degree 2 and it has the following form:
Therefore, the function given is Quadratic. This is:
The steps to find the roots (or the x-intercepts) of the function, are:
1. You must substitute 
:
2. Now, you can factor the Quadratic equation. Choose two numbers whose sum is 6 and whose product is 9. Notice that:
Therefore, you will get a "Double root".
4. So the solution is:
Answer: I think it is 31.6 hours. I might be wrong
Step-by-step explanation:
Answer:
The first year in which Clara will see that Investment B's value will exceed Investment A's value will be year 14.
Step-by-step explanation:
Since Clara made two investments, and Investment A has an initial value of $ 500 and increases by $ 45 every year, while Investment B has an initial value of $ 300 and increases by 10% every year, and Clara checks the value of her investments once to year, at the end of the year, to determine what is the first year in which Clara sees that Investment B's value has exceeded investment A's value, the following calculation must be performed:
500 + (45 x X) = A
300 x 1.1 ^ X = B
A = 500 + 45 x 5 = 500 + 225 = 725
B = 300 x 1.1 ^ 5 = 483.15
A = 500 + 45 x 10 = 950
B = 300 x 1.1 ^ 10 = 778.12
A = 500 + 45 x 15 = 1175
B = 300 x 1.1 ^ 15 = 1253.17
A = 500 + 45 x 14 = 1,130
B = 300 x 1.1 ^ 14 = 1,139.25
Therefore, the first year in which Clara will see that Investment B's value will exceed Investment A's value will be year 14.
Answer:
f(x) = (x - 3)^2 + 34
Step-by-step explanation:
9.56 is the nearest hundredth.
9.6 is the nearest tenth.
