Answer:
160
Step-by-step explanation:
400 / 2.5 = 160
160 x 1 = 160
<span>If this statement is a True or False question.
Then, TRUE. A "b" value of less than 1 produces a graph with exponential decay.
We consider this formula: y = a*b^x or f(x) =a*b^x
a is the initial value, b is the rate, x is the exponent.
If b has a value of less than 1, as the exponent increases the resulting value of y decreases.
f(x) = 20(0.90)^x
f(1) = 200(0.90)</span>¹ = 180
f(2) = 200(0.90)² = 162
f(3) = 200(0.90)³ = 145.80
f(4) = 200(0.90)⁴ = 131.22
f(5) = 200(0.90)⁵ = 118.10
Exponential decay is the decrease in a quantity. As you can see in the given example the value of f(x) decreases as the value of x increases because the value of b is less than 1.
The graph of the function 1 + 4/x is attached below.
<h3>What is a graph?</h3>
A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
Given;
If f(x ) = 1/x and g(x) = x+4
then,
(gf)(x)
= 1/x (x + 4)
= 1 + 4/x
The graph of the function 1 + 4/x is attached below.
Learn more about finding the graphed function here:
brainly.com/question/27330212
#SPJ1
Answer:
17+6i
-----------
25
Step-by-step explanation:
2+3i
---------
4+3i
We want to multiply by the complex conjugate of the denominator
4+3i has a complex conjugate of 4-3i
2+3i 4-3i
--------- * --------------
4+3i 4-3i
Lets multiply the numerator
(2+3i) ( 4-3i)
2*4 +4*3i -3i*2 - 3i*3i =
8 +12i -6i - 9i^2
Remember i^2 = -1
8 +6i -9(-1)
17 +6i
Lets multiply the denominator
(4+3i) ( 4-3i)
4*4 +4*3i -3i*4 - 3i*3i =
16 +12i -12i - 9i^2
Remember i^2 = -1
16 -9(-1)
25
Putting numerator over denominator
17+6i
-----------
25
I believe you would Add like terms so 4x^2-4x-3
