3.85 You take the 46.2 and divide the 12 gallons of gas.
Answer:
there is your answer
Step-by-step explanation:
750 time 22%
22%=.22
750 x .22=
Answer:
x=4 Postive
Step-by-step explanation:
See the steps below:)
The polynomial equation is f(x) = (x + 1)(x - 1)(x - 7)(x + 2)
<h3>How to determine the polynomial equation?</h3>
The given parameters are
- Degree of polynomial = 4
- Zeros of the polynomial = -1, 1 and 7
- Constant term = 14
The sum of multiplicities of the polynomial equation must be equal to the degree.
This means that the multiplicity of each zero is 1
The equation of the polynomial is then calculated as
P(x) = (x - zero)^ multiplicity
So, we have
P(x) = (x + 1)(x - 1)(x - 7)(x - a)
Recall that
Constant term = 14
This means that
P(0) = 14
So, we have
(0 + 1)(0 - 1)(0 - 7)(0 - a) = 14
Evaluate
7(0 - a) = 14
Divide by 7
0 - a = 2
So, we have
a = -2
Substitute a = -2 in P(x) = (x + 1)(x - 1)(x - 7)(x - a)
P(x) = (x + 1)(x - 1)(x - 7)(x + 2)
Rewrite as
f(x) = (x + 1)(x - 1)(x - 7)(x + 2)
Hence, the equation of the polynomial equation is f(x) = (x + 1)(x - 1)(x - 7)(x + 2)
Read more about polynomial at
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Answer:
(-2, -3)
(3, 12)
Step-by-step explanation:
To solve this, we're gonna get rid of the y's with substitution
x² + 2x - 3 = 3x + 3
Let's make this equation equal to zero
Subtract 3 from both sides
x² + 2x - 3 = 3x + 3
- 3 - 3
x² + 2x - 6 = 3x
Subtract 3x from both sides
x² + 2x - 6 = 3x
- 3x - 3x
x² - x - 6 = 0
Factor the equation
(x - 3)(x + 2) = 0
This means x can be -2 or 3
Let's solve it with -2 first, plug the new x in y = 3x + 3
y = 3(-2) + 3
y = -6 + 3 = -3
Do the same for x = 3
y = 3(3) + 3
y = 9 + 3 = 12
