Multiply r^2+7r+10/3 by 3r-30/r^2-5r-50
<span>=( r^2+7r+10)/3 (3r-30)/(r^2-5r-50) </span>
<span>=(r+2)(r+5)/3 3(r+10)/ (r-10)(r+5) </span>
<span>=3 (r+2)(r+5)(r+10)/3(r-10)(r+5) </span>
<span>=(r+2)(r+10)/(r-10)</span>
Let x be the distance from Syracuse where they pass. The first car travels a distance of x in time x/65 while the second car travels a distance 240-x in time (240-x)/55. They pass at the same time after leaving their starting points so x/65=(240-x)/55.
Cross-multiplying we get: 55x=65(240-x)=15600-65x, 120x=15600, x=15600/120=130 miles.
They pass 130 miles from Syracuse.
Answer:
1) y = 0.3x + 1000
2) slope = 0.3
The slope is the fraction of the monthly sales that is added to your salary.
3) y-intercept = 1000
The y-intercept is the fixed part of the salary, $1000.
4) The salary is $2500
Step-by-step explanation:
1)
monthly salary = fixed part + variable part
The fixed part is $1000. Every month you receive $1000 no matter the amount of sales.
The variable part varies according to the amount of sales. You get 30% of the of the monthly sales. Let the monthly sales be x. The variable part is 0.3x
Let the monthly salary = y.
y = 1000 + 0.3x
y = 0.3x + 1000
2)
slope = 0.3
The slope is the fraction of the monthly sales that is added to your salary.
3)
y-intercept = 1000
The y-intercept is the fixed part of the salary, $1000.
4)
In this case, x = 5000
y = 0.3x + 1000
y = 0.3(5000) + 1000
y = 1500 + 1000
y = 2500
The salary is $2500.
I’m working it out give me like 5 minsss
