Answer:
where −5 ≤ x ≤ 3
Step-by-step explanation:
The given function is .
We want to select the option that describes all the solutions to the parabola.
The domain of the parabola is −5 ≤ x ≤ 3.
This means that any x=a on −5 ≤ x ≤ 3 that satisfies (a,f(a)), is a solution.
This can be rewritten as
Therefore for x belonging to −5 ≤ x ≤ 3, all solutions are given by:
where −5 ≤ x ≤ 3.
Answer:
x = - , x = 1
Step-by-step explanation:
Given
2x - 5 = - 3x² ( add 3x² to both sides )
3x² + 2x - 5 = 0 ← in standard form
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 3 × - 5 = - 15 and sum = + 2
The factors are - 3 and + 5
Use these factors to split the x- term
3x² - 3x + 5x - 5 = 0 ( factor the first/second and third/fourth terms )
3x(x - 1) + 5(x - 1) = 0 ← factor out (x - 1) from each term
(x - 1)(3x + 5) = 0 ← in factored form
Equate each factor to zero and solve for x
3x + 5 = 0 ⇒ 3x = - 5 ⇒ x = -
x - 1 = 0 ⇒ x = 1
Hello!
First, let's subtract.
20-1.08=18.92
Now let's add up each of our prices and see which one matches.
A) $19.92
B) $19.67
C) $18.92
D) $18.68
As you can see, our answer matches , so that is our answer.
I hope this helps!