Y = x² + 4x - 5
y = 2x
x² + 4x - 5 = 2x
<u> - 2x - 2x</u>
x² + 2x - 5 = 0
x = <u>-(2) ± √((2)² - 4(1)(-5))</u>
2(1)
x = <u>-2 ± √(4 + 20)</u>
2
x = <u>-2 ± √(24)
</u> 2
x = <u>-2 ± 2√(6)</u>
2
x = -1 ± √(6)
x = -1 + √(6) U x = -1 - √(6)
y = 2x
y = 2(-1 ± √(6))
y = 2(-1) ± 2√(6)
y = -2 ± 2√(6)
(x, y) = (-1 ± √(6), -2 ± 2√(6))
<u />
2 because all even numbers are divisible by 2<span />
Answer: n= 18
Step-by-step explanation: 3/8 of 48 is the same as 3/8 times 48
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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Answer:
about $160
Step-by-step explanation:
$ 40/ for 6 movies = $6.66/movie
$6.66/movie x 24 movies = about $160
