A.
n=1 is -4*1=-4
1st term is -4
2nd is -4/3
3rd is -4/9
4th is -4/27
b. converge because -1<r<1
c. as long as -1<r<1, then
the sum of the infnite series is
a1=-4
r=1/3
=
=-12/2=-6
it has a sum of -6
sum of gemoetric sequence is
a1=6
r=2
n=10
6138
2nd answer
3*5+4*5+5*5+6*5+7*5+8*5=
5*(3+4+5+6+7+8)=
165
answer is 4th one
Posted to your other question as well:
So we have:
A)
B)
C)
D)
We need to try x = –6 in each equation until we find a solution that makes both sides of the equation equal.
For A, this gives an undefined result. Logarithms are only defined for bases that are positive real numbers not equal to 1.
For B, this again gives an undefined result. The logarithm of a number is only defined when that number is a positive real number. It would be –21, which is undefined.
For C, we have a defined operation, but
.
Finally, for D, we have
This is true.
Answer:
Length of rectangular strip = 12
area of rectangular strip = 2*12 = 24
Area of square = x^2 = 12^2 = 144
Step-by-step explanation:
Area of square x^2
area of rectangle is given by length * width
Length of rectangular strip = x
width of rectangular strip = 2
area of rectangular strip = length * width = 2*x = 2x
Area of square piece of paper when rectangular strip is taken away from it
= Area of square - area of rectangular strip
=
It is given that Area of square piece of paper when rectangular strip is taken away from it is 120 square units.
Thus,
Thus,
either x+10 = 0 or x -12= 0
x = -10 or x = 12
but length cannot be negative hence neglecting x = -10
hence value of x is 12.
Hence,
Length of rectangular strip = 12
area of rectangular strip = 2*12 = 24
Area of square = x^2 = 12^2 = 144
Answer:
PE ratio = $22
Step-by-step explanation:
Earning per share = $1.80
The price of the share = $40
PE ratio = Price of the share ÷ Earning per share
PE ratio = $40/$1.8-
PE ratio = $22.
Thank you. :)
In our given function g(x)=f(x)+4, so the graph is shifted up 4 units and transformation is vertical shift.
Step-by-step explanation:
We are given:
f(x)= -1/5 x -2
and g(x)= f(x)+4
We need to describe the transformation from the graph of f to the graph of g.
The graph is vertical shift because if g(x)=f(x)+k then the graph is shifted vertically up k units.
In our given function g(x)=f(x)+4, so the graph is shifted up 4 units and transformation is vertical shift.
The graph of transformation is shown in figure attached.
Keywords: Transformation of graphs
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