Answer: The complete question is found in the attachment
Step-by-step explanation:
a) To determine the 1-unit growth factor for <em>f</em>
= 2.1/1.75 = 1.2
b) To determine the 1-unit percent change for <em>f</em>
<em>=100 x 1-1.2/1 = 0.2 x 100= 20%</em>
<em>c) to determine the initial value of f</em>
<em>f(x)= abˣ , b =1.2 a=initial value</em>
<em>at (-1,2.1)</em>
<em>2.1= (1.2)⁻¹ x a</em>
<em>a = 2.1/(1.2)⁻¹ </em>
<em>a = 2.1 x 1.2 = 2.52</em>
<em />
<em>d) to determine the function formula for f</em>
<em>f(x)= abˣ = 2.52(1.2)ˣ</em>
Answer:
7. 
8. 
Step-by-step explanation:
We are given two function, f(x) and g(x).
We want to find their addition and their subtraction, and we do this combining like terms.
The functions are:
7. Find (f+9) (x)
So
8. Find (f - g) (x)
So
Answer:
<u>The correct answer is A. A long-term investor, who wishes to hold onto the house for an extended period and rent it out in the meantime.</u>
Step-by-step explanation:
This kind of investment is particularly attractive for long-term investors that are seeking for a predictable and steady return and that are not looking for a short-term big shot. As it is mentioned in the description, for taking full advantage the investor knows in advance that the property will also be rented while it increases its value.
Answer:
The answer is: y = 3/8x + 28/8
Step-by-step explanation:
Given point: (4, 5)
Given slope m = 3/8
Uset the point slope form:
y - y1 = m(x - x1)
y - 5 = 3/8(x - 4)
y - 5 = 3/8x - 12/8
y = 3/8x - 12/8 + 5
y = 3/8x - 12/8 + 40/8
y = 3/8x + 28/8
Proof, use point (4, 5):
f(x) = 3/8x + 28/8
f(4) = 3/8(4) + 28/8
= 12/8 + 28/8
=40/8 = 5, giving (4, 5)
Answer:
Step-by-step explanation:
we have to find the dot product here.
From the formula of dot product of vectors,
we know-
if X=<a,b,c> and Y=<d,e,f>
Then dot product of X and Y is-
X.Y=ad+be+cf
Here, we get
v=<2 , -8 , -8>
and w=<-2 , 6 , -5>
So, the dot product is-
v . w=2(-2)+(-8)(6)+(-8)(-5)
=-4-48+40
=-52+40
=-12
So,
v . w= -12
