Answer:
That is, they are equivalent expressions. Two expressions are said to be equivalent if they have the same value irrespective of the value of the variable(s) in them. Example 1: Are the two expressions 2y+5y−5+8 and 7y+3 equivalent?
Step-by-step explanation:
Answer: ![\sin C = \frac{3}{5}](https://tex.z-dn.net/?f=%5Csin%20C%20%3D%20%5Cfrac%7B3%7D%7B5%7D)
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Work Shown:
![\sin(\text{angle}) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin(C) = \frac{\text{AB}}{\text{AC}}\\\\\sin(C) = \frac{24}{40}\\\\\sin(C) = \frac{8*3}{8*5}\\\\\sin(C) = \frac{3}{5}\\\\](https://tex.z-dn.net/?f=%5Csin%28%5Ctext%7Bangle%7D%29%20%3D%20%5Cfrac%7B%5Ctext%7Bopposite%7D%7D%7B%5Ctext%7Bhypotenuse%7D%7D%5C%5C%5C%5C%5Csin%28C%29%20%3D%20%5Cfrac%7B%5Ctext%7BAB%7D%7D%7B%5Ctext%7BAC%7D%7D%5C%5C%5C%5C%5Csin%28C%29%20%3D%20%5Cfrac%7B24%7D%7B40%7D%5C%5C%5C%5C%5Csin%28C%29%20%3D%20%5Cfrac%7B8%2A3%7D%7B8%2A5%7D%5C%5C%5C%5C%5Csin%28C%29%20%3D%20%5Cfrac%7B3%7D%7B5%7D%5C%5C%5C%5C)
The solution interval for x is x ∈ (-1/4 , ∞)
An inequality shows the relationship of a non-equal comparison between two numbers or mathematical expressions.
Here, we are given two inequalities
x/4 > -1 and -4x - 4 < -3
Let us take the first equation
x/4 > -1
⇒ x > 4(-1)
x > -4
Now, the second equation
-4x - 4 < -3
-4x < -3 + 4
-4x < 1
Now since we are dividing both sides by a negative number, that is 4, the sign of the inequality will be reversed,
x > 1/-4
x > -1/4
Thus, we get x > -4 and x > -1/4
This means that all values of x greater than -1/4 will satisfy.
Thus, x ∈ (-1/4 , ∞)
Learn more about inequalities here-
brainly.com/question/25275758
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Answer:
![2 = x](https://tex.z-dn.net/?f=2%20%3D%20x)
Step-by-step explanation:
THIS IS CORRECT! These two angles are somewhat linear pairs, so you set both expressions equal to 180°:
![180° = 52° + (2^{3x + 1})°](https://tex.z-dn.net/?f=180%C2%B0%20%3D%2052%C2%B0%20%2B%20%282%5E%7B3x%20%2B%201%7D%29%C2%B0)
- 52° - 52°
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128° = ![(2^{3x + 1})°](https://tex.z-dn.net/?f=%282%5E%7B3x%20%2B%201%7D%29%C2%B0)
7 = 3x + 1
-1 - 1
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![\frac{6}{3} = \frac{3x}{3} \\ \\ 2 = x](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B3%7D%20%3D%20%5Cfrac%7B3x%7D%7B3%7D%20%5C%5C%20%5C%5C%202%20%3D%20x)
![128° = [2^7]°](https://tex.z-dn.net/?f=128%C2%B0%20%3D%20%5B2%5E7%5D%C2%B0)
I am joyous to assist you anytime.
This simply means that the equation of the line is a horizontal line at the appropriate y value, in this case 49.
F(X) = 49
Y = 49.
Draw a horizontal line on the y axis at the 49th number, basically, the X coordinates of all other points, would vary, but the y coordinate is the same for all of them. As the graph continues.
Domain is all real number
Range is not, it would be 49 only.