Answer:
r = 15
Step-by-step explanation:
10(8r + 23) = 1430
Divide both sides by 10.
8r + 23 = 143
Subtract 23 from both sides.
8r = 120
Divide both sides by 8.
r = 15
It's simple. You have to subtract FIRST 18.75-5=13.75 for the Jones Family. Then you divide 13.75 by 2 bags of popcorn which equals $6.87 for the Jones Family.
For Smith Family, subtract 31.50-4=27.50. Then you divide 27.50 by 6 bags of popcorn which equals $4.58
The answer is on the picture!!
Answer:
6
Step-by-step explanation:
First, we can expand the function to get its expanded form and to figure out what degree it is. For a polynomial function with one variable, the degree is the largest exponent value (once fully expanded/simplified) of the entire function that is connected to a variable. For example, x²+1 has a degree of 2, as 2 is the largest exponent value connected to a variable. Similarly, x³+2^5 has a degree of 2 as 5 is not an exponent value connected to a variable.
Expanding, we get
(x³-3x+1)² = (x³-3x+1)(x³-3x+1)
= x^6 - 3x^4 +x³ - 3x^4 +9x²-3x + x³-3x+1
= x^6 - 6x^4 + 2x³ +9x²-6x + 1
In this function, the largest exponential value connected to the variable, x, is 6. Therefore, this is to the 6th degree. The fundamental theorem of algebra states that a polynomial of degree n has n roots, and as this is of degree 6, this has 6 roots
