$\displaystyle \boxed{(a+b)=a^2+2ab+b^2} \\ \\ (x+3)^2+2(x+3)= \\ x^2+2 \cdot x \cdot 3 +3^2+2x+6 = \\ x^2+6x+9+2x+6= \\ x^2+8x+15= \\ \\ \Delta= b^2-4ac \\ \Delta=8^2-4 \cdot1 \cdot15 \\ \Delta=64-60=4 \\ \\ \\ X_{1,2}= \frac{-b\pm \sqrt{\Delta} }{2a} = \frac{-8\pm2}{2} = \\ \\X1=5 \\ X2=3$

5 0

3 years ago

About 10% of people are left-handed. If there are 480 people in a movie theater, about how many of them are likely to be left-ha

Sauron [17]

Answer: 48

Step-by-step explanation: 10% of 480 would be 48 because your finding 10% of 480. for example: 10% of 100 would be ten because if you multiplied 10 times 10 it would be 100.

3 0

3 years ago

GUYS PLEASE HELP ME OUT

nordsb [41]

Answer:

x = - 4, 0, 3, 4

Step-by-step explanation:

Given

f(x) = - 5x(x² - 16)(x - 3) ← x² - 16 is a difference of squares, thus

f(x) = - 5x(x - 4)(x + 4)(x - 3)

To find the zeros, equate f(x) to zero, that is

- 5x(x - 4)(x + 4)(x - 3) = 0

Equate each factor to zero and solve for x

- 5x = 0 ⇒ x = 0

x - 4 = 0 ⇒ x = 4

x + 4 = 0 ⇒ x = - 4

x - 3 = 0 ⇒ x = 3

Thus the zeros are

x = - 4, x = 0, x = 3, x = 4

4 0

3 years ago

Read 2 more answers

Isabella ran a lemonade stall at a school festival. She made a $10 profit in the first hour, a $ 25 loss in the second hour, and

Anni [7]

Answer:

$8 loss

Step-by-step explanation:

$10 profits, $7 profits, $25 loss

$10+$7=$17 profits

$25 loss - $17 profits = $8 loss

4 0

3 years ago