9514 1404 393
Answer:
9
Step-by-step explanation:
The prime factorization of 945 is ...
945 = 3³·5·7
suggesting the numbers are 3, 5, 7, 9. These have a sum of 24.
The largest of the integers is 9.
Answer:
Mark:
x + y + z = 10
Jessica:
5x + 2y + 3z = 28
Nate:
3x + 3y + z = 20
Step-by-step explanation:
Let
x = number of pop song downloaded by Mike
y = number of rock song downloaded by Mike
z = number of hip song downloaded by Mike
Mark downloaded 10 songs in total consisting of pop, rock, and hip hop
Mark:
x + y + z = 10
Jessica downloaded five times as many pop songs, twice as many rock schgs, and three times as many hip hop songs as Mark. She downloaded 28 songs total.
Jessica:
5x + 2y + 3z = 28
Nate downloaded 20 songs total with three times as many pop songs, three times as many rock songs, and the same number of hip hop songs as Mark.
Nate:
3x + 3y + z = 20
The following system of equations represents their music choices
Mark:
x + y + z = 10
Jessica:
5x + 2y + 3z = 28
Nate:
3x + 3y + z = 20
The functions are f(x) = 3 · |x| - 2 and g(x) = - 3 · |x - 6| + 2 and their graphs are shown in the image attached aside.
<h3>What is the transformation of a given function?</h3>
In this problem we have two functions defined in the statement, the first involves an absolute value function and the second function represents the first function after being reflected around the x-axis and translated horizontally in + 6 units. Now we proceed to derive the expression of the function g(x):
g(x) = - (3 · |x - 6| - 2)
g(x) = - 3 · |x - 6| + 2
Finally, we proceed to graph the two functions, whose picture is attached aside. The function f(x) is the red one and the function g(x) is the blue one.
To learn more on transformation rules: brainly.com/question/17254486
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Answer:D
Step-by-step explanation:
Found on another page