For which values of x is the inequality 3(1 + x) > x + 17 true?
2 answers:
Answer: The correct option is
(D) 8 and 9.
Step-by-step explanation: We are given to select the correct values of x for which the following inequality is true :
To select the correct values of x, we must solve the given inequality.
From inequality (i), we have
Since the value of x is strictly greater than 7, so the correct vaues will be 8 and 9.
Option (D) is CORRECT.
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Your answer is 75°.
To answer this question you need to use both the cosine rule and the sine rule. First, we need to find the length of side b by using the cosine rule, where a = 2 and c = √3 + 1. Then you substitute these into the equation:
b² = a² + c² - 2×a×c×cos(B)
b² = (2)² + (√3 + 1)² - 2×2×(√3 + 1)×cos(60)
b² = 4 + 4 + 2√3 - (4 - 4√3)×0.5
b² = 8 - 2 = 6
b = √6
Then you use this length in the sine rule, and find the angle:
sin(A) = (√6 + √2)/4
A = 75
I hope this helps! Let me know if you have any questions
Answer:
Max is 4 days.
Step-by-step explanation:
An inequality is a math statement with more the one solution. The solution has a range of values for which the inequality can be satisfied. It has the same following components as an equation: variables and operations. However, the equal sign is replaced by an inequality sign: .
We start by choosing a variable for an unknown value. Here is it the number of days he rents the car. We choose d.
We know he rents it for $21 pr day or 21d for any number of days. We also know her will drive 250 miles at $0.10 per mile or 0.10(250). We will combine the two into an expression.
21d + 0.10(250)
We know his limit is $115. This means he can rent the car for any number of days until he reaches $115. The charge must be less than or equal to 115.
So we write .
To find the number of days he can rent the car, we solve for d using inverse operations.
This means Jim can rent the car up to 4 days. The 5th day will put the cost over $115.