Answer:

Step-by-step explanation:
remember: tan(theta) = opposite/adjacent
The graphs of the functions y = 4(2ˣ + 3) - 1 and y = - 2(3ˣ - 4) + 1 are plotted on the graph.
<h3>What is function?</h3>
A function is a relation between a dependent and a independent variable, such that the dependent variable depends upon the independent one for its existence.
Given are the following functions -
y = 4(2ˣ + 3) - 1
y = - 2(3ˣ - 4) + 1
We have the following functions -
y = 4(2ˣ + 3) - 1
y = - 2(3ˣ - 4) + 1
Refer to the graph attached. The graph of red color represents the function y = 4(2ˣ + 3) - 1 and the graph of blue color represents the function y = - 2(3ˣ - 4) + 1. It can be seen that the graphs are symmetrical about the line y = 10.
Therefore, the graphs of the functions y = 4(2ˣ + 3) - 1 and y = - 2(3ˣ - 4) + 1 are plotted on the graph.
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Answer:
18.9
Step-by-step explanation:
in the figure, the first number line goes with x
5
the second number line goes with x
5
the third number line goes with x > 5
the fourth number line goes with x < 5
Two less than 3/2 of a number x is no more than 5/2 is shown as:
3/2 x- 2
5 1/2
3/2 x
11/2 + 2
3/2 x
15/2
3x
15
x
5
The sum of two times a number (x) and -2 is at least 8 is shown as :
2x+(-2)
8
2x - 2
8
2x
8+2
2x
10
x
5
Seven subtracted from 4 times a number (x) is more than 13 is shown as
4x -7 > 13
4x > 13+7
4x > 20
x > 20 ÷ 4
x > 5
Four added to 3 times a number (x) is less than 19 is shown as
3x + 4 < 19
3x < 19-4
3x < 15
x < 15 ÷ 3
x< 5
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