Answer: cost of 1 pot of ivy = $12
Cost of 1 rose bush =$ 10
Step-by-step explanation:
Step 1
Let rose bushes be represented as r
and pot of ivy be represented as p
such that Amy who spent 82 dollars on 7 rose bushes and 1 pot of ivy can be expressed as
7 r + p = 82----- eqn 1
Rob who spent 74 on 5 rose bushes and 2 pots of ivy can be expressed as
5r +2 p = 74----- eqn 2
Step 2
Solving
7 r + p = 82----- eqn 1
5r +2 p = 74----- eqn 2
By elimination method Multiply eqn 1 by 5 and eqn 2 by 7
35r+ 5p= 410--- eqn 3
35r+ 14p =518--- eqn 4
Subtracting eqn 4 from eqn 3
9p = 108
p = 108/9
p=12
p = pot of ivy = $12
therefore rose bush wll be ( from equation 1)
7r+ p= 82
7r=82-12
7r= 70 r= 70/7
r= rose bush =$ 10
Therefore, g(-2) = -6
Basically substitute x = -2 in the equation.
Answer:
since M lies between point A and B , we came to know that,
M(4,6) =(x,y)
A(-2,-1)=(x1 ,y1)
B( _, _ )=(x2,y2)
Now using mid point formula,
x=x1×x2÷2 y=y1+y2÷2
so, point B is (10,13)
Answer:
x=2/5
Step-by-step explanation:
5x+6=8
Answer: The world's population in 2015 would have been 7.333 billion.
Step-by-step explanation:
- Since the increase in population is an exponential one. It then follows a geometric progression defined by,
= 
- Where is the nth term, <em>a</em> is the 1st term, <em>r</em> is the common ratio.
- Therefore, the population in <u>1998</u> is the <u>first term</u> <em>a</em> = 5.937 billion. The population in <u>2014</u> corresponds to the <u>17th term </u>(i.e., <em>n </em>= 17) = 7.238 billion.
Hence, =
7.238 billion = 5.937 billion × 
= (7.238 billion) ÷ (5.937 billion)
= 1.219
<em>r</em> = ![\sqrt[16]{1.219}](https://tex.z-dn.net/?f=%5Csqrt%5B16%5D%7B1.219%7D)
<em>r</em> = 1.0125
To get the population in 2015, which is the 18th term. We use
=
= 5.937 billion × 
= 5.937 billion × 
= 5.937 billion × 1.235
= 7.333 billion
