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:
15 5/8 ft^3
Step-by-step explanation:
Volume of a cube = l x b x h
Given the Length of sides is
2 1/2
Change 2 1/2 to an improper fraction.
It becomes 5/2
Volume = 5/2 x 5/2 x 5/2
Multiply through
= 125/8
= 15 5/8 ft^3
D 28 miles you want to multiply by 4 so 7x4 =28
30 feet
Step-by-step explanation:
- Since Natalie is standing right next to the Penthouse, we can establish the ration between her height and the shadow she casts, which is;
1.1 : 5.5
- The two are related by a factor of 1/5
- We can use this factor to establish the shadow cast by the penthouse;
1/5 * 150
= 30
Learn More:
For more about relationships by ratios check out;
brainly.com/question/11961256
brainly.com/question/12548098
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Answer:
y = 6x + 9
Step-by-step explanation:
The equation of a line in slope- interceot form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 2x + 12y = - 1 into this form
Subtract 2x from both sides
12y = - 2x - 1 ( divide all terms by 12 )
y = -
x -
← in slope- intercept form
with slope m = - 
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= 6
Note the line passes through (0, 9) on the y- axis ⇒ c = 9
y = 6x + 9 ← equation of perpendicular line