F(x) = x3 - 5x2 - 2x + 24
roots -2, 3 and 4
Answer:
Simplified = 5
Classification = Monomial
Step-by-step explanation:
<h2>PART I: Simplify the expression</h2>
<u>Given expression:</u>
3x² + 6x + 5 - 3x (2 + x)
<u>Expand parenthesis by distributive property:</u>
= 3x² + 6x + 5 - 3x (2) - 3x (x)
= 3x² +6x + 5 - 6x - 3x²
<u>Put like terms together:</u>
= 3x² - 3x² + 6x - 6x + 5
= 0 + 0 + 5
= 
<h2>PART II: Classify polynomial</h2>
<u>Concept:</u>
Polynomial is classified by the number of terms a polynomial has.
- Monomial: a polynomial with only one term
- Binomial: a polynomial with two terms
- ...
<u>Classify the given expression:</u>
Original = 3x² + 6x + 5 - 3x (2 + x)
Simplified = 5
5 is a constant and it has only one term
Therefore, it is a <u>monomial</u>.
Hope this helps!! :)
Please let me know if you have any questions
Answer:
Rewrite the equation as
3
b
+
4
c
=
a
.
3
b
+
4
c
=
a
Subtract
4
c
from both sides of the equation.
3
b
=
a
−
4
c
Divide each term by
3
and simplify.
Tap for more steps...
b
=
a
3
−
4
c
3
Step-by-step explanation:
Answer:
The rate of the plane is 862 miles per hour
Step-by-step explanation:
An airplane travels 6903 kilometers against the wind in 9 hours.
Speed = distance / time
Speed of the airplane while travelling against the wind is
6903/9 = 767 miles per hour
The airplane travelled 8613 kilometers with the wind in the same amount of time. This means that the speed while travelling with the wind will be
8613/9 = 957 miles per hour
Let x = speed of the airplane
Let y = speed of the wind
While travelling against the wind,
x - y = 767 - - - - - -- 1
While travelling with the wind,
x + y = 957 - - - - - - -2
Subtracting equation 2 from equation 1,
-y - y = 767 - 957
-2y = -190
y = -190/-2
y = 95 miles per hour
x = 957 - y
x = 957 - 95
x = 862 miles per hour
Answer:
The distance from the top of her head to the floor is 6 feet 2 inches.
Step-by-step explanation:
In his case Juana's height is given to us with two kinds of units, feet and inches, in order to make our solution easyer we will transform her height to only inches. In 1 feet we have 12 inches, so we need to take the part of her height that is given in feet and multiply it by 12. We have:
height = 4*12 + 8 = 56 inches
Since she is in a platform that is 18 inches tall the distance from the top of her head to the floor is her height plus the height of the platform. We have:
distance = height + platform = 56 + 18 = 74 inches
We can now transform back to a mixed unit, we do that by dividing the distance by 12 that will be the "feet" part and the res of the division will be the "inches" part. We have:
distance = 74/12 = 6 feet 2 inches
The distance from the top of her head to the floor is 6 feet 2 inches.
