I am stuck on |x+3|<5. Can someone help?
1 answer:
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Answer:
Unitary Method
Step-by-step explanation:
If the item is not listed with the unit price we can use different methods to calculate its unit price.
Unit price tells us the cost of each pound, ounce or gram, square foot or meter, etc., of the product.
We can use Unitary Method to calculate the price of each unit. The unitary method is a technique which is used for solving a problem by calculating the value of a single unit, i.e. 1 unit (by dividing) and then finding the necessary value by multiplying the single unit value.
For an instance if a bag of 6 pounds of potato says $7.00, to figure out the price of each pound (that is 1 unit) of potato we can use unitary method:
6 pounds costs $7.00
1 pound costs: dollars.
And that is how we calculate the price of each unit.
Answer:
see explanation
Step-by-step explanation:
(a) (i)
x² - 9 ← is a difference of squares and factors as
(x - 3)(x + 3)
(ii)
given x² + x - 12
Consider the factors of the constant term (- 12) which sum to give the coefficient of the x- term (+ 1)
The factors are + 4 and - 3, since
4 × - 3 = - 12 and 4 - 3 = + 1, hence
x² + x - 12 = (x + 4)(x - 3)
(iii)
Express the numerator/ denominator in factored form
=
Cancel the (x - 3) factor on the numerator/denominator, leaving
= with restriction x ≠ - 4
(b)
Expand the second pair of factors using FOIL
= (x + 2)(x² + 5x - 3x - 15)
= (x + 2)(x² + 2x - 15)
Multiply each term in the second factor by each term in the first factor
x(x² + 2x - 15) + 2(x² + 2x - 15) ← distribute both parenthesis
= x³ + 2x² - 15x + 2x² + 4x - 30 ← collect like terms
= x³ + 4x² - 11x - 30
Compare like terms with x³ + ax² - 11x + b
ax² with 4x² ⇒ a = 4
b with - 30 ⇒ b = - 30