Answer:
a1) The model is a = 15/b
a2) When a = 10, b = 1.5
b) The polynomial function in standard form is
Step-by-step explanation:
a1) Since a and b varies inversely and a = 9, b = 5/3. First find the constant of proportionality.
The function that models the inverse variation is :
a = 15/b............(1)
a2) When a = 10, find b.
Substituting the value of a into equation (1)
10 = 15/b
b = 15/10
b = 1.5
b) Find the polynomial function with zeroes 1, 2, -2,3
The factors of the polynomials are x -1, x - 2, x + 2, x - 3.
The polynomial becomes:
Answer:
1.0125
Step-by-step explanation:
Since b/a is 0.75 and a is given as 0.35
Then let's start by solving for b
Ok...how
b/a=0.75
a=0.35
Then make b the subject of formula
b=0.75×a
Then substitute the value of a
b=0.75×0.35
b=0.2625
Let's continue
b and a means b + a
0.75+0.2625
1.0125
Therefore the final answer is 1.0125
Answer:
The answer is C 4.88 x 106
Step-by-step explanation:
To get the equivalent yearly increase of x% we use the compound formula given by:
A=P(1+r/100)^t
where:
A=amount, P=principle, r=rate, t=time
from the question:
A=£95000, P=£80000, r=x%, t=5 years
hence plugging the values we obtain:
95000=80000(1+x/100)^5
simplifying the above we obtain:
1.1875=(1+x/100)^5
1.03497=1+x/100
0.03497=x/100
thus
x=3.497~3.5%
This student is incorrect because there is no number that you can multiply by 2 to get 5. Therefore, the proper point would be (1, 5) as the equation is setup as x+2y=5, so x must equal 1, and y must equal 2. Now to check if its correct:
1+2(2)=5
2x2=4
1+4=5
It is correct, so the answer is (1, 5)