3p² - 2p - 5 = 0
3p² + 3p - 5p - 5 = 0
3p(p + 1) -5(p + 1) = 0
(3p - 5)(p + 1) = 0
p = 5/3 or -1
Hope this helps!
Answer:
The height of right circular cone is h = 15.416 cm
Step-by-step explanation:
The formula used to calculate lateral surface area of right circular cone is: 
where r is radius and h is height.
We are given:
Lateral surface area s = 236.64 cm²
Radius r = 4.75 cm
We need to find height of right circular cone.
Putting values in the formula and finding height:

So, the height of right circular cone is h = 15.416 cm
Answer:
see the explanation
Step-by-step explanation:
we know that
A linear function in slope intercept form is equal to

where
m is the slope or unit rate
b is the y-intercept
x is the independent variable or input value
f(x) is the dependent variable or output value
In this problem we have

where
m is the number of miles
f(m) is the cab company's fare in dollars
we have that
In this context
<em>Slope</em>
The slope or unit rate is equal to the cost per mile for the riders trip
The slope is $3 per mile
<em>Y-intercept</em>
The y-intercept is the cost of the riders trip when the number of miles is equal to zero, also is called the initial value.
The y-intercept is $5
308 + 397 + 389 + 286 = 1380
He drove 1380 miles