Answer: 
Step-by-step explanation:
The given geometric series are:
a)
on simplifying in decimals, we get
b) 
on simplifying in decimals, we get
c)
on simplifying in decimals, we get
Thus, this geometric series represent 0.4444.
d)
on simplifying in decimals, we get
too much math for my mental health
If it takes 8 hours for a bus with an average velocity of 65mph to travel from Amarillo to Austin then,
d = 65 (8) = 520 miles
The distance from Amarillo to Austin (or vice versa) is 520 miles.
If the function to get the distance traveled by the automobile is given by:
d(x) = 80 t
Then, the inverse variation relationship would be
d-1(x) = t = d / 80
Since d = 520
t = 520 / 80
t = 6.5 hours
It takes 6.5 hours for the automobile to complete the trip
The greatest common factor, or GCF, is the greatest factor
that divides two numbers. To find the GCF of two expression
<span>1.
</span>List the prime factors of each number.
<span>2.
</span>Multiply those factors both numbers
have in common. If there are no common prime factors, the GCF is 1.
16x^4y^3 = ( 4*4)(x*x*x*x)(y*y*y)
12x^2y^7 = (4*3)(x*x)(y*y*y*y*y*y*y)
<span>So common to them is 4x^2y^3 </span>
The first inequality, y + 2x > 3, is y>-2x+3 in slope-intercept form.
The first inequality, y + 2x > 3, has a dashed boundary line.
The second inequality, y 3.5x − 5, has a solid <span>boundary line.
</span>Both inequalities have a solution set that is shaded above <span>their boundary lines.
</span>1, 5 <span>is a point in the solution set of the system of inequalities.
</span>
