Answer:
20 mens are needed to contruct a building in 32 days.
Let's compare the given function with the model for a quadratic equation:
Since the value of a is positive, the parabola has its concavity upwards, and the function has a minimum value.
The minimum value can be found calculating the y-coordinate of the vertex:
Therefore the minimum value is -24.
The number ab², where a and b are prime numbers, has 6 divisors.
<h3>How many divisors are for the given expression?</h3>
Remember that any number can be written as a product of primes, for example, 15 can be written as:
15 = 3*5
Where 3 and 5 are primes.
Such that the divisors of 15 are the factors made with the primes on the right side.
So for the number:
N = a*b^2 = a*b*b
The divisors are:
a, b, a*b, b*b
And trivially, itself and 1, so there are a total of 6 divisors.
If you want to learn more about divisors.
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Answer:
300 seconds
Step-by-step explanation:
The first dog run at v₁ = 15 m/sec the second one run at v₂ = 12 m/sec
we know that d = v*t then t = d/v
Then the first dog will take 300/ 12 = 25 seconds to make a turn
The second will take 300 / 15 = 20 seconds to make a turn
Then the first dog in 12 turns 12*25 will be at the start point, and so will the second one at the turn 15.
To check first dog 12 * 25 = 300
And the second dog 15 * 20 = 300
That means that time required for the two dogs to be at the start point together is
300 seconds, in that time the first dog finished the 12 turns, and the second had ended the 15.
Another procedure to solve this problem is as follows:
between 12 m/sec and 15 m/sec the minimum common multiple is 300 ( 300 is the smaller number that accept 12 and 15 as factors 12*15 = 300) Then when time arrives at 300 seconds the two dogs will be again in the starting point
The value of (f + g)(x) is x² + x - 14
Given: f(x) = 5x - 6
g(x) = x² - 4x - 8.
To find the value of (f + g)(x)
What are functions?
Functions are expressions or a rule that defines the relation between different variables which are described for a given problem.
Let's solve the question:
f(x) = 5x - 6
g(x) = x² - 4x - 8
We know from the algebra of functions that:
(f + g)(x) = f(x) + g(x)
f(x) + g(x) = (5x - 6) + (x² - 4x - 8)
Now grouping like terms:
= x² + (5x - 4x) + (-6 - 8)
= x² + x - 14
Therefore, (f + g)(x) is x² + x - 14
Hence the value of (f + g)(x) is x² + x - 14
Know more about "functions" here: brainly.com/question/12431044
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