Answer: x = {-1, -3, 2}
<u>Step-by-step explanation:</u>
x³ + 2x² - 5x - 6 = 0
Use the rational root theorem to find the possible roots: ±1, ±2, ±3, ±6
Use Long division, Synthetic division, or plug them into the equation to see which root(s) work <em>(result in a remainder of zero)</em>.
I will use Synthetic division. Let's try x = 1
1 | 1 2 -5 -6
|<u> ↓ 1 3 -2 </u>
1 3 -2 -8 ← remainder ≠ 0 so x = 1 is NOT a root
Let's try x = -1
- 1 | 1 2 -5 -6
|<u> ↓ -1 -1 6 </u>
1 1 -6 0 ← remainder = 0 so x = -1 is a root!
The coefficients of the reduced polynomial are: 1, 1, -6 --> x² + x - 6
Factor: x² + x - 6
(x + 3)(x - 2)
Set those factors equal to zero to solve for x:
x + 3 = 0 --> x = -3
x - 2 = 0 --> x = 2
Using Synthetic Division and Factoring the reduced polynomial, we found
x = -1, -3, and 2
Answer:
3446.464 m³
Step-by-step explanation:
280 cm=2.8 m
S=πr²×h×14
=3.14×2.8²×10×14
=3446.464 m³
Answer:
g(x) = x+3.
Step-by-step explanation:
i hope this helps :D
Answer:
<em>2 7/24</em>
Step-by-step explanation:
<em>First we have to add the gallons of two cow of each owner:</em>
<em>Hank's cows: </em><em>4 3/4 + 4 1/8</em>
<em>Add the whole numbers:</em>
<em>4 + 4 = 8</em>
<em>Now for 3/4 and 1/8 </em>
<em>Find common</em>
<em>6/8 + 1/8</em>
<em>= 7/8</em>
<em>Put together :</em>
<em>8 7/8</em>
<em>Debra's cows: </em><em>5 1/2 + 5 2/3</em>
<em>Add the whole number</em>
<em>5 + 5 = 10</em>
<em>Now for 1/2 and 2/3</em>
<em>3/6 + 4/6</em>
<em>1 1/6</em>
<em>10 + 1 1/6 </em>
<em>= 11 1/6</em>
<u><em>Since now we know that:</em></u>
<u><em>Hank - </em></u><em>8 7/8</em>
<u><em>Debra - </em></u><em>11 1/6</em>
<em>we can solve the question:</em>
<em>How many more gallons of milk did Debra's two cows produce on that compared to Hank's two cows?</em>
<em>Solution:</em>
<em>11 1/6 - 8 7/8</em>
<em>Subtract whole number</em>
<em>11 - 8 = 3</em>
<em>Now for 1/6 and 7/8</em>
<em>4/24 - 21/24</em>
<em>4-21/24</em>
<em>-17/24</em>
<em>2 7/24</em>
<em />
<u>~lenvy~</u>
Answer:
(6,-6)
Step-by-step explanation:
if I am correct then give me brainiest