Factor the following:
6 x^2 - 19 x + 10
Factor the quadratic 6 x^2 - 19 x + 10. The coefficient of x^2 is 6 and the constant term is 10.
The product of 6 and 10 is 60. The factors of 60 which sum to -19 are -4 and -15.
So 6 x^2 - 19 x + 10 = 6 x^2 - 15 x - 4 x + 10 = 2 x (3 x - 2) - 5 (3 x - 2):
2 x (3 x - 2) - 5 (3 x - 2)
Factor 3 x - 2 from 2 x (3 x - 2) - 5 (3 x - 2):
Answer: (3 x - 2) (2 x - 5)
Answer:
-3
Step-by-step explanation:
Answer:
-22°F < x < 266°F.
Step-by-step explanation:
The question states the incorrect formula to convert the Celsius temperature (C) into the Fahrenheit temperature (F). The correct one is given by:
F = 9C/5 + 32.
The given temperature inequality in Celsius is:
-30°C < x < 130°C; where x is any number that satisfies the inequality.
To convert it into Fahrenheit, simply plug in the values in the above formula.
Lower Limit:
F = 9(-30)/5 + 32.
F = -54 + 32.
F = -22°F.
Upper Limit:
F = 9(130)/5 + 32.
F = 234 + 32.
F = 266°F.
Therefore, the inequality will be -22°F < x < 266°F!!!
Answer:
Step-by-step explanation:
<h3><u>Question 6</u></h3>
To find the greatest common factor (GCF), first list the prime factors of each number:
- 42 = 2 × 3 × 7
- 60 = 2 × 2 × 3 × 5
42 and 60 share one 2 and one 3 in common.
Multiply them together to get the GCF: 2 × 3 = 6.
Therefore, 6 is the GCF of 42 and 60.
Divide the numerator and the denominator by the found GCF:
<h3><u>Question 7</u></h3>
To find the greatest common factor (GCF), first list the prime factors of each number:
- 80 = 2 × 2 × 2 × 2 × 5
- 272 = 2 × 2 × 2 × 2 × 17
80 and 272 share four 2s in common.
Multiply them together to get the GCF: 2 × 2 × 2 × 2 = 16.
Therefore, 16 is the GCF of 80 and 272.
Divide the numerator and the denominator by the found GCF:
