Answer:
f(x) = x3 + 3x2 − 4x − 12
Step-by-step explanation:
A polynomial which falls tot he left and rises to the right is a function with a positive leading coefficient. Its formed by the x-intercepts or zeros x = -3, -2 and 2. The zeros form the factors (x+3)(x+2)(x-2). Multiply the factors using the distributive property to find the function in standard form.
(x+3)(x+2)(x-2)
(x^2 + 3x + 2x + 6)(x-2)
(x^2 + 5x + 6)(x-2)
x^3 + 5x^2 + 6x -2x^2 - 10x - 12
x^3 + 3x^2 - 4x - 12
Answer:
24
Step-by-step explanation:
3(2n-8)=5n distribute 3
6n-24=5n combine like terms
-24=-n divide by -1 on both sides
24=n
n=24
After 4 atmospheres the diver descends -132 feet because -33*4=-132
Answer:
The solution to the equation is: (x,y) = (2,-2) If that helps
Step-by-step explanation:
// Solve equation [1] for the variable y
[1] y = 2x - 6
// Plug this in for variable y in equation [2]
[2] 5x + 10•(2x-6) = -10
[2] 25x = 50
// Solve equation [2] for the variable x
[2] 25x = 50
[2] x = 2
// By now we know this much :
x = 2
y = 2x-6
// Use the x value to solve for y
y = 2(2)-6 = -2
Solution :
{x,y} = {2,-2}
Answer:
3 3/18
Step-by-step explanation:
5 3/6-2 1/3
We first need to turn our mixed numbers into fractions by multiplying the while number by the denominator, then adding the numerator. When we do this, 5 3/6 turns into 33/6 and 2 1/3 turns into 7/3. Now we have this:
33/6-7/3
Now we need to find the Least common multiple of the denominators in order to find our common denominator, which in this case is 6. 33/6 already has a denominator of 6, so we do not need to do anything to it. To give a denominator of 6 to 7/3, however, we must multiply by 2, giving us this:
33/6-14/6
Now we can subtract the numerators.
19/6
To turn this back into a mixed number, we divide 19 by 6, which gives us 3 with a remainder of 1. Therefore, our answer is 3 1/6. This is an equivalent fraction to the fourth answer, 3 3/18.
HTH :)
