Answer:
x=−2−√5 or x=−2+√5
Step-by-step explanation:
-5x2 - 20x + 35 = 30
Answer = x=−2−√5 or x=−2+√5
Answer:
366.5cm³
Step-by-step explanation:
1. Determine the height and radius of cone.
2. Using the formula for the volume of a cone input where there is an h and r.
3.Where it says Area of base, it is talking about the circular base and that you need to find its area. (π×r²), you already have the radius so you put it in the formula and solve (π×5²)
4. Once you have the area of the base you can now completely solve. Multiply ⅓×(78.54)×14
Answer:
8 vans
7 buses
Step-by-step explanation:
Let there be "b" buses
and "v" vans
Since 7 people is the capacity of vans, the total capacity is
7v
Also, since 25 people is the capacity of 1 bus, the total capacity is
25b
In total 231 people, so we can write our first equation as:
7v + 25b = 231
Now, we know there are 15 vehicles (bus + vans) in total, so we can write our 2nd equation as:
v + b = 15
Now, we solve for v and b. Let's solve the 2nd equation for v and substitute that into 1st and solve for b first:
v + b = 15
v = 15 - b
Now,

Hence, there are 7 buses
Since 15 vehicles in total, the number of vans is:
15 - 7 = 8 vans
So,
8 vans
7 buses
Answer:
The required function is:

Step-by-step explanation:
We have to represent the given scenario as an equation or function
Let x be the number of miles driven in a week
Let C(x) be the function of the number of miles driven
As it is given that charges are 150 per week, these charges are constant so they will be used as it is.
It is also given that the cost of car is 0.45 per mile so for x miles the cost will be:
0.45x
Combining both terms, we get

Hence,
The required function is:
