Answer:
Step-by-step explanation:
The remainder theorem says that when you put the integer part of the binomial for the value of x in f(x), you can solve for the remainder.
f(x) = x^3 - 4x + k is divided by (x - 5) means that 5 is put into f(x)
f(5) = x^3 - 4x + k now put 5 into x on the right
f(5) = 5^3 - 4(5) + k
f(5) = 125 - 20 + k = 91
f(5) = 105 + k = 91
105 + k = 91 Subtract 105 from both sides
k = 91 - 105
k = -14
Answer:
a
Step-by-step explanation:
Answer:
A.) x > 50
Step-by-step explanation:
hopefully my answer helps! ♡
(if my answers helped you please tell me, therefore I know.. that I did them correctly or incorrectly. anyways, have a great day/night!)
<h2>
Hello!</h2>
The answer is:
The correct option is the first option:

<h2>
Why?</h2>
To write the equation of the line in slope-interception form we need to extract all the information that we need from the graphic.
We must remember that the slope-interception form of the lines is:

Where,
y, is the function
m, is the slope of the line
x, is the variable
b, is the y-axis intercept
We can find the slope using the following formula:

Which is for this case:

As we can see from the graphic, the line is decresing, so the sign of the slope "m" will be negative, so:

We can find the value of "b" seeing where the line intercepts the y-axis.
As we can see it intercept the y-axis at: 
Then, now that we already know the value of "m" and "b", we can write the equation of the line:

So, the correct option is the first option:

Have a nice day!
6.90 i think i may be incorrect