This is a polynomial of degree 4, because you have 4 roots real or imaginary:1st) x= 5 →(x-5)=0
2nd) x = - 3→(x+3) =0
3rd) x = -1+3i →(x+1-3i) = 0
and the 4th one that is not mentioned which is the conjugate of
-1+3i, that is -1-3i (in any polynomial if a root has the form of a+bi, there is always a conjugate root = a-bi)
4th) x= -1-3i→(x+1+3i) = 0
Hence the polynomial =(x-5)(x+3)((x+1-3i)(x+1+3i)
Solving the above will give you (unless I am mistaken, pls recalculate):
x⁴-9x²-50x-150<u />
Answer:
y = 1/7x -1
Step-by-step explanation:
1) Find the slope.
- In this case, the equation given is in simplest form so you can easily come to the conclusion that '-7' is the slope. But, since the math question wants a slope-intercept form in perpendicular form, the slope would actually be 1/7.
2) Use the point-slope form and substitute the values available. Then solve.
m (slope) = 1/7
(a, b) = (14, 1)
y - b = m(x - a)
y - 1 = 1/7(x - 14)
y - 1 = 1/7x - 2
y = 1/7x - 1
The result is your answer.
Hope this helped (please tell me if I made a mistake or if you have any confusion and I will resolve it under the comments) ^^
Answer:
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Step-by-step explanation:
Let's call the store value as s and the wholesale price as w. A store prices tapes by raising the wholesale price 50%(0.5 in decimals) and adding 25 cents, writing this as an equation, we have
If we invert the equation we're going to find the the wholesale price as a function of the store price.
Now, to find the wholesale price if the sales price is $1.99, we just need to evaluate s = 1.99 on the function we created.
The wholesale price is $1.16.
See the attached picture:
