Answer:
The polynomial <u>has a degree of 3</u> because the leading term is -8x³.
Step-by-step explanation:
<h2>Definitions:</h2>
- A <u>term</u> is the product of a number and one or more variables raised to an exponent.
- The <u>degree of a term</u> pertains to the exponent of a variable in a term.
- The <u>degree of a polynomial</u> is the highest exponent in a polynomial. Regardless of the value or sign of its coefficient, what matters is the the <u>exponent</u> of the variable.
- The term that has the greatest exponent in a polynomial is referred to as the <u>leading term</u>; the coefficient in a leading term is known as the <u>leading coefficient</u>.
<h2>Explanation:</h2>
Given the following polynomial: 3⁴- 8x³+ 6x²- 3x:
If we rearrange this in descending degree, it will be easier to understand why the given polynomial has a degree of 3:
3⁴- 8x³+ 6x²- 3x ⇒ - 8x³+ 6x²- 3x + 3⁴
"3⁴" is not a term. It is referred to as a constant. 3⁴ = 3 × 3 × 3 × 3 = 81.
We can substute 3⁴ = 81 into the polynomial:
- 8x³+ 6x²- 3x + 81
As we can see, the term with the highest degree is -8x³. Therefore, the polynomial <u>has a degree of 3</u>.
Answer:
Step by step Explanation:
Answer:
B
Step-by-step explanation:
The exponential function has the form where a is the starting value or y-intercept. B is the rate of change and x is the variable typically time. In this situation, has starting value 4, rate 3 and a -x.
Normally an exponential curve glides left to right growing steeper as it goes. But a -x flips this behavior. The curve starts very steep then gradually slows down. This means only graphs B or D are options. Since only graph B of these two has a y-intercept at 4, graph B is the solution.
Answer:
To make gallons of pudding Lloyd will use pounds of chocolate.
Step-by-step explanation:
Lloyd used
pounds of chocolate to make gallons of chocolate pudding.
Now, Lloyd's recipe is for 1 gallon of pudding and to make of the recipe means gallons of pudding.
So, to make 1 gallon of chocolate pudding Lloyd will use pounds of chocolate.
Hence, to make gallons of pudding Lloyd will use pounds of chocolate. (Answer)
The <u>answer would be 6</u>. The number line which shows you the number 6 or any solution for 6 would be your answer.