Answer:
B
Step-by-step explanation:
The color of your eyes doesn't depend on your shoe size, and your shoe size doesn't depend on the color of your eyes. All the other examples have a clear independent and dependent variable.
Answer:
6 1/12
Step-by-step explanation:
HINT: You should have TWO equations; create one for each sentence description above.
Equation 1: j =
Equation 2: j =
The system of equations is j = e + 5 and j = 3e - 11 we can solve it using the substitution method.
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
Jamie is 5 yearsolder than Ella. Jamie's age is 11 years, less than three times Ella's age.
The system of equation can be written as:
j = e + 5
j = 3e - 11
Thus, the system of equations are j = e + 5 and j = 3e - 11 we can solve it using the substitution method.
Learn more about the linear equation here:
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20x2 – 12x + 30x – 18
6x3 + 14x2 – 12x – 28
8x3 + 20x2 + 3x + 12
11x4 + 4x2 – 6x2 – 16
Prime polynomials are those polynomials that are not factored into lower degree polynomial. The options that are prime polynomials are 1), 4), and 5).
Evaluate all options in order to check that the polynomials are prime or not:
1).
5x(3x + 2) - (9x - 7)
So, this polynomial can not be factored into lower degree polynomial. Therefore, it is a prime polynomial.
2).
(4x + 6)(5x - 3)
So, this polynomial is converted into a lower degree polynomial. Therefore, it is not a prime polynomial.
3).
So, this polynomial is converted into a lower degree polynomial. Therefore, it is not a prime polynomial.
4).
So, this polynomial can not be factored into lower degree polynomial. Therefore, it is a prime polynomial.
5).
So, this polynomial can not be factored into lower degree polynomial. Therefore, it is a prime polynomial.
For more information, refer to the link given below:
Answer:
The prime polynomials are 1, 4 and 5
Step-by-step explanation:
Given some polynomials we have to classify the polynomials prime or not.
Prime polynomials are the polynomial with integer coefficients that cannot be factored into lower degree polynomials.
⇒
can't be factored into lower degree polynomial ∴ prime polynomial.
⇒
⇒
hence, not a prime polynomial.
⇒
⇒
hence, not a prime polynomial.
⇒
can't be factored into lower degree polynomial ∴ prime polynomial.
⇒
can't be factored into lower degree polynomial ∴ prime polynomial.
The prime polynomials are 1, 4 and 5
The list price of the toaster oven is $100.
To calculate the list price of the toaster oven, we need to find the original price before the 1/4 discount. Let's represent the list price as 'x'. Since the sale price is $75 and it is 1/4 off the list price, we can set up the equation: x - (1/4)x = $75. Simplifying this equation, we have: 3/4x = $75. To solve for x, we multiply both sides of the equation by the reciprocal of 3/4, which is 4/3: x = $75 × 4/3. Therefore, the list price of the toaster oven is $100.
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(4x+3)+(2x+9)=180
6x+12=180
6x=180-12
6x=168
x=168/6
x=28