Answer:
Step-by-step explanation:
Multiply each side by -5.
Switch signs when multiplying or dividing by a negative integer.
Answer:
<h2>f(x) = -3x - 1</h2>
Step-by-step explanation:
The slope-intercept form of an equation of a line:
<em>m</em><em> - slope</em>
<em>b</em><em> - y-intercept, (0, b)</em>
The formula of a slope:
From the graph we have two points <em>A(-1, 2)</em> and <em>B(0, -1) → b = -1</em>.
Calculate the slope:
Finally:
Answer:13/34
Step-by-step explanation:
Answer:
Her speed on the summit was 35 mph.
Step-by-step explanation:
Her speed on the summit was "x" mph while her speed while climbing was "x - 10" mph. The distance she rode uphill was 55 miles and on the summit it was 28 miles. The total time she explored the mountain was 3 hours. Therefore:
time uphill = distance uphill / speed uphill = 55 / (x - 10)
time summit = distance summit / speed summit = 28 / x
total time = time uphill + time summit
3 = [55 / (x - 10)] + 28 / x
3 = [55*x + 28*(x - 10)]/[x*(x - 10)]
3*x*(x - 10) = 55*x + 28*x - 280
3x² - 30*x = 83*x - 280
3x² - 113*x + 280 = 0
x1 = {-(-113) + sqrt[(-113)² - 4*(3)*(280)]}/(2*3) = 35 mph
x2 = {-(-113) - sqrt[(-113)² - 4*(3)*(280)]}/(2*3) = 2.67 mph
Since her speed on the uphill couldn't be negative the speed on the summit can only be 35 mph.
2.3+3.1+1= 6.4
25÷6.4= 3.90625
3 tasks can be completed in 25 minutes.
