Answer:
<h2>
Average speed is 15km/h</h2>
Step-by-step explanation:
Step one:
given data:
total distance =7.5km
time taken= 30 min= 0.5 hours
we know that the average speed is the average distance divided by time taken
Step two:
mathematically expressed as
speed=distance/time
substituting we have
speed=7.5/0.5
speed=15km/hour
Hence the average speed is 15km/h
Answer:
The graph crosses the x-axis 2 times
The solutions are x = -8 & x = 4
Step-by-step explanation:
Qaudratics are in the form 
Where a, b, c are constants
Now, let's arrange this equation in this form:

Where
a = 1
b = 4
c = -32
We need to know the discriminant to know nature of roots. The discriminant is:

If
- D = 0 , we have 2 similar root and there is 2 solutions and that touches the x-axis
- D > 0, we have 2 distinct roots/solutions and both cut the x-axis
- D < 0, we have imaginary roots and it never cuts the x-axis
Let's find value of Discriminant:

Certainly D > 0, so there are 2 distinct roots and cuts the x-axis twice.
We get the roots/solutions by factoring:

Thus,
The graph crosses the x-axis 2 times
The solutions are x = -8 & x = 4
Answer:
Number of flowers required = 1256
Step-by-step explanation:
Circumference of a circle is given by the formula,
Circumference = 2πr
Here, r = radius of the circle
For a circle with radius = 100 in.
Therefore, circumference = 2π(100)
= 200π
= 628.32 ft
Distance between each flower = 6 in
≈ 
= 0.5 ft
Number of flowers = 
= 
= 1256.63
≈ 1256
Therefore, number of flowers required = 1256