Answer: The equation is y = 0.25/(x - 4) + 3
Step-by-step explanation:
If we have a function y = f(x)
A compression means that we multiply the function by a factor smaller than 1.
Then the vertical compression by a factor of 0.25 is:
y = 0.25*f(x)
a translation by A units to the right, means that we need to valuate the function in x - A.
So now we have:
y = 0.25*f(x - 4)
A translation in the y-axis means that we need to add a constant to the equation, then if we tralate it by 3 units up, we have:
y = 0.25*f(x - A) + 3
Then, if f(x) = 1/x
Our new equation is:
y = 0.25/(x - 4) + 3
Answer:
<em>x is -34/3 and -26/3</em>
Step-by-step explanation:
Given the expression
3|1/2x+5| + 7 = 5
Removing the modulus sign
3(1/2x+5) + 7 = 5
Subtract 7 from both sides
3(1/2x+5) + 7 - 7= 5 - 7
3(1/2x+5) = -2
Open the bracket
3/2 x + 15 = -2
Subtract 15 from both sides
3/2 x + 15-15 = -2 - 15
3/2 x = -17
3x = -2*17
3x = -34
x = -34/3
<em>Hence the value of x is -34/3</em>
<em>For the negative function:</em>
3(1/2x+5) + 7 = 5
Subtract 7 from both sides
3(-(1/2x+5)) + 7 - 7= 5 - 7
3(-1/2x-5) = -2
Open the bracket
-3/2 x - 15 = -2
Add 15 from both sides
3/2 x + 15-15 = -2 + 15
-3/2 x = 13
-3x = 2 * 13
-3x =26
x = -26/3
<em>Hence the value of x is -26/3</em>
Answer:
tan38 = 0.31
cos47 = -0.99
sin77 = 0.99
Step-by-step explanation:
There are several free online calculators that can help you do this! I recommend Desmos!
