Answer:
No complex roots; 3 real roots
Step-by-step explanation:
If a third order polynomial has any complex roots, then as a rule it has 1 real root and 2 complex roots. In this particular case, the polynomial has three real roots, as can be determined by graphing the function. The graph crosses the x-axis in 3 places.
Answer:
Step-by-step explanation:
Amount of water in tank 1 = amount of water in tank 2
30t +25 = -20t + 1000
Add 20t to both sides
30t + 20t + 25 = -20t + 20t + 1000
50t + 25 = 1000
Subtract 25 from both sides
50t + 25 - 25 = 1000 - 25
50t = 975
Divide both sides by 50
t = 975/50 = 39/2

t = 19 minutes 30 seconds
After 19 1/2 minutes both tanks will have 610 liters of water
Answer:
a) 24
b) 10
c) 12/13
d) 5/13
e) 12/5
Step-by-step explanation:
a) We can see that the leg opposite <C is AB, and we are given AB = 24
b) We can see the leg adjacent to <C is AC, and we are given that AC = 10
c) The trig function sine is equal to

The opposite, AB, is 24, and the hypotenuse, BC, is 26. We can plug those numbers in:

d)The trig function cosine is equal to

The adjacent, AC, is 10, and the hypotenuse, BC, is 26. We can plug those numbers in:

d)The trig function tangent is equal to

The opposite, AB, is 24, and the adjacent, AC, is 10. We can plug those numbers in:

Answer:
5 + 8y
Step-by-step explanation:
hope this helps, pls mark brainliest :D
Answer:
The two angles are 25.5 and 114.5
Step-by-step explanation:
<u><em>x = measure of one angle
</em></u>
<u><em>5x - 13 = measure of the other angle {one angle is 13 less than 5 times the other}
</em></u>
<u><em>
x + 5x - 13 = 140 {sum of the two angles is 140}
</em></u>
<u><em>6x - 13 = 140 {combined like terms}
</em></u>
<u><em>
6x = 153 {added 13 to each side}
</em></u>
<u><em>x = 25.5 {divided each side by 6}
</em></u>
<u><em>5x - 13 = 114.5 {substituted 25.5, in for x, into 5x - 13}</em></u>
<u><em /></u>