Answer:
13
Step-by-step explanation:
42 - (32 + 4) + 7 =
42 - 36 + 7 =
13
The function g(x) is created by applying an <em>horizontal</em> translation 4 units left and a reflection over the x-axis. (Correct choices: Third option, fifth option)
<h3>How to determine the characteristics of rigid transformations by comparing two functions</h3>
In this problem we have two functions related to each other because of the existence of <em>rigid</em> transformations. <em>Rigid</em> transformations are transformations applied to <em>geometric</em> loci such that <em>Euclidean</em> distance is conserved at every point of the <em>geometric</em> locus.
Let be f(x) = - 2 · cos (x - 1) + 3, then we use the concept of <em>horizontal</em> translation 4 units in the + x direction:
f'(x) = - 2 · cos (x - 1 + 4) + 3
f'(x) = - 2 · cos (x + 3) + 3 (1)
Now we apply a reflection over the x-axis:
g(x) = - [- 2 · cos (x + 3) + 3]
g(x) = 2 · cos (x + 3) - 3
Therefore, the function g(x) is created by applying an <em>horizontal</em> translation 4 units left and a reflection over the x-axis. (Correct choices: Third option, fifth option)
To learn more on rigid transformations: brainly.com/question/1761538
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18 dollars - 4 dollars for the drink = 14 dollars after you take out the drink
$14 divided by 7 candy bars = $2 per candy bar
Considering the given linear function, we have that:
- The change for each copy that he sells is of $120.
- If he sells no copies, he makes $2400.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
His payment for x copies bought is:
y = 120x + 2400.
Hence:
- The change for each copy that he sells is of $120, as the slope is of $120.
- If he sells no copies, he makes $2400, which is the y-intercept.
More can be learned about linear functions at brainly.com/question/24808124
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Answer:
144i + 81
Step-by-step explanation:
(-3*9i)(-5 + 3i) + 9i
-27i (-5 + 3i) + 9i
FOIL
135i + 81 + 9i
144i + 81
