Answer:
Ques 1) 1440°
Ques 2) 4000
Ques 3) 33
Step-by-step explanation:
Ques 1)
The sum of the measures of the angles in degrees of a polygon with 'n' sides is given by: 180×(n - 2).
Now we have to find the sum of the measures the angles of a polygon with 10 sides.
i.e. n=10
Hence the value of the expression 180×(n-2) when n=10 is given by:
180×(10-2)=180×8=1440.
Hence, the sum of measure of the angles of a polygon with 10 sides is: 1440°.
Ques 2)
The Expression 500v gives the number of points a player earns for completing v voyages in video game.
We are asked to find the number of points earned for completing 8 voyages.
i.e. v=8 the value of 500v will be 500×8=4000.
Hence, 4000 points are earned for completing 8 voyages.
Ques 3)
we have to find the value of the question as given in the figure:
7x+y+16 for x=2 and y=3.
Hence, we find the value of the expression:
7×2+3+16=33.
Hence, the value of the expression is 33.
Answer:
a = - 1.1
Step-by-step explanation:
Condition for a single variable function f(x) to be decreasing is f'(x) < 0.
So, in our case, 
.
Then, differentiating with respect to x on both sides we get,
⇒ 
⇒ 
{Dividing both sides with - 1 and hence the inequality sign changes}
⇒ 
⇒ 8 > - 6x³ {Multiplying both sides with x³}
⇒ 6x³ > - 8 {Interchanging the sides}
⇒ 
⇒ x > - 1.1
Therefore, a = - 1.1. (Answer)
The domain is the set of feasible input for the function. For example, functions with denominator can't have a zero denominator, logarithm can't have zero or negative inputs, and even roots can't have negative inputs.
Visually speaking, the domain is a subset of the x axis (or possibly the whole axis), so the domain gives you an idea how "how far the function goes", horizontally.
The range is the set of all possible outputs of your function, depending on all possible inputs.
Visually speaking, the range is a subset of the y axis (or possibly the whole axis), so the range gives you an idea how "how far the function goes", vertically.
