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3 years ago

What are the zeros of the polynomial equation f(x)=x^2-12x+20?

1 answer:

8 0

$f(x)=x^2-12x+20\\\\\text{The zeros:}\\\\f(x)=0\to x^2-12x+20=0\\\\x^2-10x-2x+20=0\\\\x(x-10)-2(x-10)=0\\\\(x-10)(x-2)=0\iff x-10=0\ \vee\ x-2=0\\\\\boxed{x=10\ \vee\ x=2}$

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PLSS HELP

Dmitry [639]

Answer:

$8,000

Step-by-step explanation:

Let the store earned $x in December.

Therefore,

Money spent to buy new inventory $=\frac{1}{4} x$

Remaining money $= x - \frac{1}{4} x =\frac{3}{4} x$

Money used to pay bills $=\frac{1}{2} \times \frac{3}{4} x=\frac{3}{8} x$

Money still left over = $3,000

Total money earned in December $= \frac{1}{4} x+ \frac{3}{8} x+3,000$

$\therefore x= \frac{1}{4} x+ \frac{3}{8} x+3,000$

$\therefore x= \frac{2}{8} x+ \frac{3}{8} x+3,000$

$\therefore x= \frac{5}{8} x+ 3,000$

$\therefore x- \frac{5}{8} x=3,000$

$\therefore \frac{8x-5x}{8} =3,000$

$\therefore \frac{3x}{8} =3,000$

$\therefore x =3,000\times \frac {8}{3}$

$\therefore x =1,000\times 8$

$\therefore x =\$8,000$

Thus, total money earned in December is $8,000.

3 0

3 years ago

A machine is designed to fill 16-ounce bottes of shampoo. When the machine is working properly, the amount poured into the bottl

vlada-n [284]

Answer:

(D) 15.90 to 16.20 ounces

Step-by-step explanation:

Confidence Interval = mean + or - (t×sd)/√n

Mean = 16.05 ounces, sd = 0.1 ounce, n = 4, degree of freedom = n - 1 = 4 - 1 = 3, t = 3.182

Lower limit = 16.05 - (3.182×0.1)/√4 = 16.05 - 0.15 = 15.90 ounces

Upper limit = 16.05 + (3.182×0.1)/√4 = 16.05 + 0.15 = 16.20 ounces

The sample mean will fall from 15.90 to 16.20 ounces

7 0

3 years ago

In the 2005 regular season, the Chicago White Sox won 28 more games than the Detroit Tigers. Together, they won a total of 170 g

melomori [17]

White Sox: 113
Tigers: 57 games

4 0

3 years ago

a convention manager finds that she has $1,290 made up of 20 and 50s she has a total of 42 bills how many of each kind does she

love history [14]

15 $50 dollar bills and 27 $20 dollar bills, a total of 42 bills

4 0

3 years ago

According to the distributive property,6(a+b)=

olga55 [171]

Answer:

Step-by-step explanation:

The Distributive property says that a(b+c) = ab+ac

In my example you distribute the value on the outside to the things on the inside

In your problem, you have a six on the outside that needs to be distributed to an a and b

1) 6 multiplied by a equals 6a giving you the first part of your answer!

2) 6 multiplied by b equals 6b giving you the second part of your answer!

Dont forget that there is a + sign in between a and b, dont drop it!

Put the two values together to get 6a+6b

Let me know if you have any further questions :)

8 0

3 years ago