Answer:
Given: The transformation g(x) =6f(x) ......[1]
To find the corresponding values of g(x) for the given transformation.
At x = -7, f(x) = 8
then,
By substituting the value of f(x) = 8 in [1] we have
Similarly,
For x= -3 , f(x) = 3, then
By substituting the value of f(x) = 3 in [1] we have
For x= 0, f(x) = -1 , then
By substituting the value of f(x) = -1 in [1] we have
For x= 2, f(x) = 7, then
By substituting the value of f(x) = 7 in [1] we have
For x= 10, f(x) = 5, then
By substituting the value of f(x) = 5 in [1] we have
Therefore ; we have the corresponding values of g(x) as shown below;
x f(x) g(x)
-7 8 48
-3 3 18
0 -1 -6
2 7 42
10 5 30
Answer:
405
Step-by-step explanation:
We can use a ratio to solve
3 infected x infected
------------------ = ----------------
50 sampled 6750 population
Using cross products
3*6750 = 50x
Divide each side by 50
3*6750/50 = x
405
5.78778778 ….. is an irrational number because the decimal can't be represented as a ratio or fraction.
<h3>What are irrational numbers?</h3>
Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction, x/y where x and y are integers.
In other words, an Irrational Number is a real number that cannot be written as a simple fraction.
For example π = 3.1459....
π cannot be written as a fraction or ratio.
The decimals of irrational number goes on forever without repeating.
The decimals are continuous.
Therefore, 5.78778778 ….. is an irrational number because the decimal can't be represented as a ratio or fraction.
learn more on irrational number here: brainly.com/question/3386568
#SPJ1
The correct form of vector v expressed as a <em>linear</em> combination of the <em>unit</em> vectors i and j is 
.
<h3>What is the value of a vector with respect to another vector?</h3>
First, we need to determine the value of the vector u by subtracting two vectors whose <em>initial</em> points are at the origin:
(1)
According to the statement, vector v is antiparallel to vector u and its magnitude is five times as the magnitude of vector v, which means that (1) must be multiplied by two scalars:
(2)
Please notice that antiparallelism is represented by the scalar - 1, whereas the dilation is represented by the scalar 5.
The correct form of vector v expressed as a <em>linear</em> combination of the <em>unit</em> vectors i and j is .
<h3>Remark</h3>
The statement presents typing mistakes, correct form is shown below:
<em>Vector u has initial points at (21, 12) and its terminal point at (19, - 8). Vector v has a direction opposite that of u, whose magnitud is five times the magnitud of v. Which is the correct form of vector v expressed as a linear combination of the unit vectors i and j?</em>
To learn more on vectors: brainly.com/question/13322477
#SPJ1
