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:
6%
Step-by-step explanation:
Simple interest=principal×rate×time
Interest=$360
Principal=$2000
Rate=r
Time=3 years
Simple interest=principal×rate×time
360=2000×r×3
360=6000r
r=360/6000
=0.06
r=0.06×100
=6%
Answer:
9
Step-by-step explanation:
For two lines to be parallel, their slope must be the same.
To find the slope, we can use the form:
For the top line, the change in height (y value) can be seen as a - 0 or simply a, and the change in base is just -b (because our
is just 0, from the origin.
Hence, line 1's gradient is:
Now, we can repeat this process for line 2:
Change in height is -d, change in base is c
Hence, line 2's gradient is:
For the two lines to be parallel, both gradients must be the same:
To convert -34º C to Fahrenheit, plug the temperature in Celsius in the formula and solve.
F = 9/5C + 32
F = 9/5(-34) + 32
To solve this you must first multiply.
9/5 • -34 = -61.2
F = -61.2 + 32
Now add.
-61.2 + 32 = -29.2
The answer is -34º C equals -29.2º F.
Hope this helps!