Problemas
97. Which of the following represents all possible solutions for y if 3y-7gt 8 A) ylt 3 B) ygt 3 C) ylt 5 D) ygt 5 98. How many numbers between 20 and 70 (inclusive) meet both conditions below? Statement 1: The number is prime. Statement 2: The product of the digits is 6. A) 2 B) 3 C) 6 D) 11 99. What is the simplified form of the expression 5x^2-4x+2-(3x^2+5x-1) A) -15x^2-20x-2 B) -15x^2+20x+2 C) 2x^2-9x+1 D) 2x^2-9x+3
Roztwór
Gabriel
professionell · Tutor durante 6 años
4.3
(162 Votos)
Respuesta
Let's solve each question one by one:**97. Solve the inequality
:**1. Add 7 to both sides:
2. Divide both sides by 3:
The correct answer is **D)
**.---**98. Find numbers between 20 and 70 that are prime and have a product of digits equal to 6:**- **Prime Numbers between 20 and 70:** 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67- **Numbers with a product of digits equal to 6:** - Consider two-digit numbers where the product of the digits equals 6: - Possible pairs: (1, 6), (2, 3), (3, 2), (6, 1) - Corresponding numbers: 16, 23, 32, 61- **Intersection of Prime Numbers and Product Condition:** - From the list above, only 23 and 61 are prime.Thus, there are **2** numbers that meet both conditions. The correct answer is **A) 2**.---**99. Simplify the expression \(5x^{2} - 4x + 2 - (3x^{2} + 5x - 1)\):**1. Distribute the negative sign:
2. Combine like terms: -
-
-
The simplified form is
.The correct answer is **D)
**.