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2 years ago

What are the zeros of the polynomial function? f(x)=x^3−x^2−4x+4

Mathematics

1 answer:

harkovskaia [24]2 years ago

5 0

Answer: (B) -2, (E) 1, (F) 2

<u>Step-by-step explanation:</u>

x³ - x² - 4x + 4

= x²(x - 1) - 4(x - 1)

= (x² - 4) (x - 1)

= (x - 2)(x + 2)(x - 1)

Set each factor equal to zero to find the roots:

x - 2 = 0 x + 2 = 0 x - 1 = 0

x = 2 x = -2 x = 1

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A necklace and earrings cost $144. Six necklaces and five pairs of earrings cost $825

hram777 [196]

Step-by-step explanation:

let necklace : x

let earrings : y

x+y=144 -1st eqn

6x+5y=825 -2nd eqn

y=144-X -3rd eqn

substitute eqn into 2nd eqn

6x+5(144-x)= 825

6x +720-5X =825 (expanded)

X = 825-720

X =105

substitute "X=105" into 1st eqn

(105)+y=144

y= 144-105

y=39

1 necklace = 105$

1 pair of earrings = 39$

(to check back: substitute the value into the original eqn)

6 0

1 year ago

Find the average rate of change of the function defined by the following table. x y -2 -5 2 35 6 75 10 115

Pani-rosa [81]

By definition we have that the average rate of change of the function is:

$AVR = \frac{f(x2) - f(x1)}{x2 - x1}$

Evaluating the function for the complete interval we have that the AVR is given by:

$AVR = \frac{115 - (-5)}{10 - (-2)}$

Rewriting we have:

$AVR = \frac{115+5}{10+2}$

Simplifying the expression we have:

$AVR = \frac{120}{12}$

$AVR = 10$

Answer:

the average rate of change of the function defined by the table is:

$AVR = 10$

6 0

2 years ago

Order of Operations- -6+(-30) divided by 5-(-2). Explain step by step

Reil [10]

Answer:

-36/7 or -5.14287

Step-by-step explanation:

so I would get rid of parentheses you do not need them

$\frac{-6+-30}{5--2}$ = $\frac{-36}{7}$ (because when two negative come before two numbers like -x-y they are being added but negative is present to the result of the sum, when one negative sign comes after a number and the other negative sign comes before a number, like x--y they are being added as well but negative is not present to the result of the sum)