Answer:
Step-by-step explanation:
Use the ordered pairs to determine the correct function
<u>Point (0, 3)</u>
- x = 0 and y = 3- options A or D, the others result in y = -3
<u>Point (1, 8)</u>
x = 1, y = 8 - option A.
- 2*1^2 - 3*1 + 3 = 2 - incorrect
<u>It leaves us with option D</u>
- 2*1^2 +3*1 + 3 = 8 - correct
<u>Check other two pairs as well:</u>
- 2*2^2 + 3*2 + 3 = 17
- 2*3^2 + 3*3 + 3 = 30
This confirms option D is correct
Answer:(x-3)/4x
Step-by-step explanation:
1/4-3/4x
(X×1-1×3)/4x
(X-3)/4x
Answer:
-3, 0, 5
Step-by-step explanation:
You want the zeros of P(x) = x³ − 2x² − 15x using the factored form.
<h3>Factored form</h3>
We notice right away that x is a factor of every term. Factoring that out gives us a quadratic to factor:
P(x) = x(x² -2x -15)
To factor this, we need two factors of -15 that have a sum of -2. The factors -5 and +3 have those properties. That means our factored form is ...
P(x) = x(x +3)(x -5) . . . . factored form
<h3>Zeros</h3>
This product will be zero when any of its factors is zero. Considering them one at a time, we find the zeros of P(x) to be ...
x = 0
x +3 = 0 ⇒ x = -3
x -5 = 0 ⇒ x = 5
The zeros of P(x) are -3, 0, 5.
Answer: The least common multiple of 4 and 6 is 12 because this is the smallest positive integer that is divisible by both 4 and 6.
Step-by-step explanation:
- The least common multiple of two integers m and n is the least positive integer that is divisible by both m and n.
We are given that :
The first five multiples for the numbers 4 and 6 are shown below.
We can see that from the multiples of 4 and 6 , the least common multiple of 4 and 6 =12 such that 12 is divisible by 4 and 6 .