I got m 7/3 I think that's the answer
Answer:
Option A. 
Step-by-step explanation:
Let
d -----> the number of days
C(d) -----> the total cost
we know that
The linear equation in slope intercept form is
where
m is the rate or slope of the linear function
b is the y-coordinate of the y-intercept
In this problem we have that
The slope of the linear equation is equal to the charge of $25 per day to board dogs
so
The y-intercept is the value of y when the value of x is equal to zero
In this problem the C-intercept is the total cost when the number of days (d) is equal to zero
The C-intercept is equal to the cost of the bath $12
so
substitute the values
Answer:
x= <u>k+9</u>
4
Step-by-step explanation:
4x-9=k
add nine to each side
4x=k+9
divide each side by 4
x=<u>k+9</u>
4
The 1st equation, is the only one. PROOF:
f(x) = x⁴ - 2x² + 36x -80
1) f(2) = 2⁴ - 2(2)² + 36(2) - 80 = 0, hence 2 is a zero value (or a root)
2) f(-4) = (-4)⁴ - 2(-4)² + 36(-4) - 80 = 0, hence - 4 is another root.
Since x= 2 and x= -4, f(x) is then divisible by (x-2)(x+4) or if you proceed to this multiplication you will find:
(x-2)(x+4) = x² + 2x -8, that means f(x) is divisible by (x<span>² + 2x -8)
IDivide </span> (x⁴ - 2x² + 36x -80) / (x<span>² + 2x -8) you will find:
</span>
(x⁴ - 2x² + 36x -80) / (x² + 2x -8) = x² -2x +10. Now let's find the zeros of
x² -2x +10; x' = [-b+√(b²-4ac)]/2a and x" = [-b-√(b<span>²-4ac)]/2a, after plugging in the corresponding values you will find that:
</span>x' = 1+3i and x" = 1 - 3i ==> x<span>² -2x +10 = (x-1+3i)(x-1-3i)
and at last f(x) = </span>x⁴ - 2x² + 36x -80 = (x-2)(x+4)(x-1+3i)(x-1-3i), with following zeros: -2 , -4 , 1-3i and 1+3i
You are expected to loose 300 dollars a year
