Answer:
y = - 
Step-by-step explanation:
Given y varies inversely with x then the equation relating them is
y = 
← k is the constant of variation
To find k use the condition y = 7 when x = - 4, then
7 = 
( multiply both sides by - 4 )
- 28 = k
y = 
← equation of variation
When x = 5 , then
y = 
= -
Answer:
Step-by-step explanation:
In a G.P, the nth term is given as
Un=ar^(n-1)
Where
a is first term
n is nth term
And r is common ratio
So in the question given above,
The third term exceed the first term by 16
i.e U3=U1+16
Where U1=a. First term
U3=a+16
Given also that, the sum if the third term and fourth term is 72.
Then U3+U4=72.
We are told to find common ratio (r)
U3=ar^3-1
U3=ar^2
Also, U4=ar^3
U3+U4=72
ar^2+ar^3=72
ar^2(1+r)=72. equation 1
Also for
U3=a+16
ar^2=a+16
ar^2-a=16
a(r^2-1)=16. From (x^2-y^2)=(x+y)(x-y)
Then,
a(r-1)(r+1)=16. Equation 2
Divide equation 2 by equation 1
a(r-1)(r+1)/ar^2(1+r) =16/72
Then a cancel a and (1+r) cancel (1+r)
So,
(r-1)/r^2=2/9
Cross multiply
9(r-1)=2r^2
2r^2-9r+9=0
Solving the quadratic equation
2r^2-6r-3r+9=0
2r(r-3)-3(r-3)=0
(r-3)(2r-3)=0
r-3=0. Or. 2r-3= 0
Then r=3 or r=3/2
<span>a. only 2.5
By plugging in all three values, we will find that only 2.5 will create a correct solution of the choices.
</span>5.6+0.4(2.5) < 6(2.5) True
6.6 < 15
5.6+0.4(1) < 6(1) False
6 < 6
5.6+0.4(0.875) < 6(0.875) false
5.95<5.25
Answer:
almost got it give me one sec
Step-by-step explanation:
1 thousand and 1 hundred means 1100.
In scientific notation, it's 1.1*10^3
