Answer:
C
Step-by-step explanation:
When it's saying "coefficient of 1", it means that the variable x has a coefficient of 1. x that has a coefficient of 1 looks like: x.
Analyse each person:
- Hunter: 5(3x + 2) + 1 = 15x + 10 + 1 = 15x + 11 - no because the coefficient is 15, not 1.
- Michael: 6x - 1 + 5x = 11x - 1 - no because the coefficient is 11, not 1.
- Nate: 7 + (x + 1) = x + 8 - yes because we have x
- Spencer: (2x - 2) + 2 = 2x - 2 + 2 = 2x - no because the coefficient is 2, not 1
The answer is C.
Answer:
<h3>⎆ <u>In expanded form :-</u></h3>
# ꧁❣ RainbowSalt2²2² ࿐
Answer:
2x^4 + 5x - 4
Degree 4
Trinomial
Step-by-step explanation:
Given polynomial: 5x + 2x^4 - 4
Standard form is descending order of degree.
The degree of a term is the sum of the exponents of all the variables in the term.
The term 5x has a single variable, x. Its exponent is 1 since x is the same as x^1. The degree of the term 5x is 1.
The term 2x^4 has only variable x raised to the 4th power. The degree of the term 2x^4 is 4.
The term -4 has no x. It is as if it is -4x^0, which means its degree of 0. A term in a polynomial that is just a number (no variables) has degree 0.
Now we write the polynomial in standard form with descending degree of terms.
2x^4 + 5x - 4
The degree of a polynomial is the same as the degree of the term with highest degree. The highest degree of all terms is 4, so the polynomial has degree 4.
This polynomial has 3 terms, so it is called a trinomial.
The Inequality shown here is :
Answer:
2x + y - 6 = 0
OR 2x + y = 6
Step-by-step explanation:
First write the equation given in the problem:
y = -2x + 6 This is in slope-intercept form (y = mx + b).
Standard form is written Ax + By + C = 0. When C is a negative number, you might also see it as Ax + By = -C.
The main difference between the two forms in that slope-intercept form isolates the 'y' whereas standard form equates to 0. Don't confuse the 'b' in standard from with the 'B' in slope-intercept form.
To convert from slope-intercept form to standard form, <u>move everything over to the side with 'y'</u>. When you move something, you do its reverse operation to the whole equation. (The reverse of addition is subtraction, the reverse of multiplication is division.)
y = -2x + 6 Do the reverse operations for -2x and +6
y + 2x - 6 = -2x + 2x + 6 - 6 Add 2x and subtract 6 on both sides
y + 2x - 6 = 0 Right side cancels out to be '0'.
2x + y - 6 = 0 Rewrite with the 'x' in front of the 'y'
Here you can see the new equation and what each variable in Ax + By + C = 0 is.
A = 2
B = 1 When a number is not written with the variable, it is 1.
C = -6
Some teachers ask it to be rewritten as Ax + By = -C when 'C' is a negative number.
2x + y = 6