Answer:
x³ - (√2)x² + 49x - 49√2
Step-by-step explanation:
If one root is -7i, another root must be 7i. You can't just have one root with i. The other roos is √2, so there are 3 roots.
x = -7i is one root,
(x + 7i) = 0 is the factor
x = 7i is one root
(x - 7i) = 0 is the factor
x = √2 is one root
(x - √2) = 0 is the factor
So the factors are...
(x + 7i)(x - 7i)(x - √2) = 0
Multiply these out to find the polynomial...
(x + 7i)(x - 7i) = x² + 7i - 7i - 49i²
Which simplifies to
x² - 49i² since i² = -1 , we have
x² - 49(-1)
x² + 49
Now we have...
(x² + 49)(x - √2) = 0
Now foil this out...
x²(x) - x²(-√2) + 49(x) + 49(-√2) = 0
x³ + (√2)x² + 49x - 49√2
Answer:
5 sessions each
Step-by-step explanation:
Let the personal training sessions be x.
<u>Then at Silver Gym Sarah would spend:</u>
<u>And at Fit Factor she would spend:</u>
<u>Since total costs are same, the amounts will be equal:</u>
- 35+30x = 85 + 20x
- 30x - 20x = 85 - 35
- 10 x = 50
- x= 50/10
- x= 5
So Sarah would buy 5 training sessions for each of the gyms.
And she would spend $185 at each.
Answer:
sin(R)=6/sqrt(97)
Step-by-step explanation:
Sine is opposite/hypotenuse
If you want to know what the angle is, Angle R= about 37.5
Hope this helps
Answer:
can you like zoom the question because i cannot find it.
That would be about 0.5555
