Answer:
x = ± sqrt(43)
Step-by-step explanation:
2x^2 - 28 = x^2 + 15
Subtract x^2 from each side
2x^2-x^2 - 28 = x^2-x^2 + 15
x^2 -28 = 15
Add 28 to each side
x^2 - 28 +28= 15+28
x^2 = 43
Take the square root of each side
sqrt(x^2) = ± sqrt(43)
x = ± sqrt(43)
Answer:
f(x) = (x+2) (x+2)^3 (x-1) (x-6)
Step-by-step explanation:
The first zero, -2, corresponds to the factor x+2 of the polynomial.
Given that this zero, -2, has multiplicity 3, (x+2)^3 represent the first three factors of the polynomial.
The next factor stems from the zero 1: (x-1).
The next 6 factors stem from the zero 6: (x-6).
Writing the polynomial in factored form, we get:
f(x) = (x+2) (x+2)^3 (x-1) (x-6)
To find the cost per pound you simply divide the amount paid by the amount purchased
For Beef it would be:
$7.20 ÷ 2.0 = $3.60
For Pork it would be:
$8.10 ÷ 2.5 = $3.40
For Chicken it would be:
$9.80 ÷ 3.5 = $2.8

1) Let's simplify those expressions making use of exponents rules:

Note that the exponent outside the parenthesis is 'distributed' over each term inside.
2) Similarly for the second expression we can state that:
To solve this you simply divide .505 by 1 (0.505/1) and then multiply by 1000/1000 to get rid of the decimal, giving you 505/1000. If you want to return to decimal form you divide 505 by 1000.
Hope this helps!