Answer:
(f+g)x= 2x²+5x-3
The domain x∈ Real number.
Step-by-step explanation:
Given that f(x) = 5x - 3 and g(x) = 2x²
(f+g)x = f(x) + g(x)
So, by using the given function
(f+g)x= (5x-3) + (2x²)= 2x²+5x-3
As the result, 2x²+5x-3, is a polynomial, so domain of the result is all the real numbers.
Answer:
4) Alternate Interior angles 5) Parallel lines property.
Step-by-step explanation:
The question is asking us to Complete the statements to prove that line AB ⩭ to line CD and line BC ⩭ to line AD.
In statement 4 .∠CAB is congruent to ∠ACD as AB is parallel to CD and ∠BCA is congruent to∠CAD as AD is parallel to BC and these are Alternate interior angles to the parallel lines .
In statement 5.m∠CAB =∠ACD and ∠BCA = ∠CAD as by property of parallel lines Alternate interior angles are equal.
Answer: The volume of the cone is 130 cubic centimeters.
Step-by-step explanation:
We know that to find the volume of a cylinder you will use the formula
V= 
Where r is the radius and h is the height.
And to find the volume of a cone you will use the formula
V= 
*h /3
So if they have the same dimensions which is the height and the radius then we will just divide the volume of the cylinder by 3 to find the volume of the cone.
V = 390/3
V = 130 cm^3
Answer:
an=1*2.5^(n-1)
=2.5^(n-1)
Step-by-step explanation:
Complete question below:
What value, written as a decimal, should Lena use as the common ratio? Lena is asked to write an explicit formula for the graphed geometric sequence. On a coordinate plane, 3 points are plotted. The points are (1, 1), (2, 2.5), (3, 6.25).
Solution
Point (1, 1), (2, 2.5), (3, 6.25).
a=1
ar=2.5
ar^2=6.25
From ar and ar^2
r=6.25/2.5
=2.5
r=2.5
an=ar^(n-1)
Therefore, the explicit formula is
an=1*2.5^(n-1)
=2.5^(n-1)
