Answer:
(2) / ((x + 5)(x - 1))
&
(3x) / ((x - 6)(x - 1))
Step-by-step explanation:
The question is asking you to factor the denominator. In this case, you cannot simplify either of the numerators. You can factor the denominator by asking yourself the question: which two numbers multiply to equal the final number in the quadratic and add to equal the middle number in the quadratic?
1.) 2 / (x² + 4x - 5)
-----> Which two numbers multiply to -5 and add to 4? These numbers are 5 and -1. This makes the factors (x + 5) and (x - 1). The fully simplified answer: (2) / ((x + 5)(x - 1))
2.) 3x / (x² - 7x + 6)
------> Which two numbers multiply to 6 and add to -7? These numbers are -6 and -1. This makes the factors (x - 6) and (x - 1). The fully simplified answer: (3x) / ((x - 6)(x - 1))
*Please let me know if I misinterpreted the question or you need further clarification <3
Answer:
y= (1/4)x+2
Explanation:
Comparing y =-4x + 8 to the slope-intercept form y=mx+b
• Slope = -4.
Let the slope of the new line = m
Two lines are perpendicular if the product of their slopes is -1.
Therefore:
The slope of the perpendicular line = 1/4
Since the line passes through the point (8,4), we have:
The equation of the perpendicular line is y= (1/4)x+2
Answer: 1 hour is equal to 46 miles 2 hours is 92 miles and 20 hours is 920 miles
Step-by-step explanation:
92/2 = 46 miles
46 x 2 = 92 miles
46 x 20 = 920
60 are in choir and band, which leaves 50 (110 - 60) in choir and not band, and 180 (240 - 60) in band and not choir, and the remaining 220 (450 - 50 - 180) students don't belong to either. So
If instead "110 of them are in choir" means 110 students are in choir and NOT in band, and "240 of them are in bad" means 240 students are in band and NOT choir, then
<span>x = √30 → irrational number between 5.2 and 5.5</span>