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: they have
et n = number of nickels
Let d = number of dimes
given:
(1) +n+%2B+d+=+45+
(2) +5n+%2B+10d+=+360+
-------------------
Multiply both sides of (1) by 5
and subtract (1) from (2)
(2) +5n+%2B+10d+=+360+
(1) +-5n+-+5d+=+-225+
+5d+=+135+
+d+=+27+
and, since
(1) +n+%2B+d+=+45+
(1) +n+%2B+27+=+45+
(1) +n+=+45+-+27+
(1) +n+=+18+
She had 18 nickels and 27 dimes
check:
(2) +5%2A18+%2B+10%2A27+=+360+
(2) +90+%2B+270+=+360+
(2) +360+=+360+
Step-by-step explanation:
The probability that 2 out of 10 randomly selected shipments would be late is 0.19.
<h2>Given </h2>
A shipping company claims that 90% of its packages are delivered on time.
Jenny noticed that out of the last 10 packages shipped, 2 were late.
<h2>What is probability?</h2>
The probability of success and failure remain the same throughout the trials.
The probability that 2 out of 10 randomly selected shipments would be late is given by;
Hence, the probability that 2 out of 10 randomly selected shipments would be late is 0.19.
To know more about Probability click the link given below.
brainly.com/question/5053059
Answer:B.) 1.74%
Step-by-step explanation:
N=4, because 9x-3=-27, the absolute value of -27 is 27. Then you add 3 to 105 and get 108 then devide by 27 giving you 4.
