Answer:
The quadratic equation in terms of v is v² + 2 v + 180 = 0
Step-by-step explanation:
Given as :
The distance between house to the school = d = 6 km
The uniform speed = v km/h
So, Time = 
or, t = 
Or, t = 
<u>Now, Again</u>
The speed is increase by 2 km/h
i.e speed = (v + 2) km/h
So, Time taken = t' = (t - 
)hours
i.e t' = (t - 
)hours
Now, Time =
So, (t - ) =
Or, (t - ) = 
Or , - =
Or , 
= 
Or, (90 - v) × (v + 2) = 6 × 15 v
Or, 90 v - 180 - v² - 2 v = 90 v
Or, v² + 2 v + 180 = 90 v - 90 v
Or, v² + 2 v + 180 = 0
So, The quadratic equation in terms of v
v² + 2 v + 180 = 0
Hence The quadratic equation in terms of v is v² + 2 v + 180 = 0 Answer
Answer:
Option A
Annette picked 50 roses from the garden
Step-by-step explanation:
Let us understand the problem, designating letters to represent unknown quantities.
Let the total number of roses = x
20% of the roses were red means that 20% of x = red
Since the number of red roses = 10,
we will have that 20% of x = 10
mathematically, we will have
hence, Annette picked 50 roses from the garden
the explicit formula for aₙ the nth term of the sequence will be:
Step-by-step explanation:
The explicit formula of geometric sequence is of the form:
where a₁ is the first term and r is the common ratio.
We are given:
a₁ = 6
r = 2/3
Putting values in the formula:
So, the explicit formula for aₙ the nth term of the sequence will be:
Keywords: Explicit formula for geometric sequence
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