Use the line. line it up line up the triangle
Answer:
The answer to your question is below
Step-by-step explanation:
*A(x)=3x³ + 2x² - x This polynomial is not divisible by (x - 1)
Factor completely 3x(x + 1)(3x - 1)
*B(x)=5x³ - 4x² - x This polynomial is divisible by (x - 1)
factor completely 3x(x - 1)(5x + 1)
*C(x)=2x³ - 3x² + 2x - 1 This polynomial is divisible by (x - 1)
Synthetic division 2 - 3 + 2 -1 1
2 -1 1
2 -1 1 0
*D(x)=x³ + 2x² + 3x + 2 This polynomial is not divisible by (x - 1)
Synthetic division 1 2 3 2 1
1 3 6
1 3 6 8
Answer:
<XYZ = 34
Step-by-step explanation:
Remark
Bisected angles means that the original angle (<XYZ in this case) has been cut exactly in half. The two parts that were created from <XYZ are equal so you need only solve for x, solve one of the halves and then double it.
Equation
3x - 7 = 2x + 1
Solution
3x - 7 = 2x + 1 Add 7 to both sides
3x - 7+7 = 2x +1+7 Combine
3x = 2x + 8 Subtract 2x
3x-2x = 2x-2x + 8 Collect like terms on both sides
x = 8
Solution 2
Find one of the bisected parts. You can choose either of the two parts so use 2x + 1
2x + 1
2*8+1
16 + 1
17
WYZ = 17 degrees
Solution 3
Double <WYZ to get <XYZ
<XYZ = 2 * 17
<XYZ = 34 degrees
The inequalities that match the given expressions are
x ≤ 95
x > 100
5x ≤ 100
20 ≤ x ≤100
respectively
<h3>Writing linear inequalities </h3>
From the question, we are to match the statements with the corresponding inequalities
- Nora's height(x) is at least 5 cm less than Stacy who is 100 cm tall
x ≤ 100 -5
x ≤ 95
- Temperature(x) is greater than the boiling point of water (100 °C)
x > 100
- John buys x chocolates worth $5 each but he has only $100 in his pocket
5x ≤ 100
- Ronny decided not to exceed 100L of water usage and ends up using at least 1/5th of this limit every day
x ≤ 100
and
x ≥ 1/5 × 100
x ≥ 20 ≡ 20 ≤ x
∴ 20 ≤ x ≤100
Hence, the inequalities that match the given expressions are
x ≤ 95
x > 100
5x ≤ 100
20 ≤ x ≤100
respectively
Learn more on Writing inequalities here: brainly.com/question/1447311
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Answer:
− 5 a + 45
Step-by-step explanation:
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