Option A: z + 1
Option B: 6 + w
Option D: 
Solution:
Let us first define the polynomial.
A polynomial can have constants, variables, exponents and fractional coefficients.
A polynomial cannot have negative exponents, fractional exponents and never divided by a variable.
<u>To find which expressions are polynomial:</u>
Option A: z + 1
By the definition, z + 1 is a polynomial.
It is polynomial.
Option B: 6 + w
By the definition, 6 + w is a polynomial.
It is polynomial.
Option C: ![y^{2}-\sqrt[3]{y}+4](https://tex.z-dn.net/?f=y%5E%7B2%7D-%5Csqrt%5B3%5D%7By%7D%2B4)
![y^{2}-\sqrt[3]{y}+4=y^{2}-{y}^{1/3}+4](https://tex.z-dn.net/?f=y%5E%7B2%7D-%5Csqrt%5B3%5D%7By%7D%2B4%3Dy%5E%7B2%7D-%7By%7D%5E%7B1%2F3%7D%2B4)
Here, y have fractional exponent.
So, it is not a polynomial.
Option D:
By the definition, is a polynomial.
It is polynomial.
Hence z + 1, 6 +w and are polynomials.
To determine the number of gallons of gasoline that is used, we need to know the rate of usage of gasoline. This rate would describe the number of gasoline in units of volume that is being used per distance in units of length. In this case, we need the rate in units of miles per gallon. From what is asked and the given values, we simply divide the rate to the the total distance that was traveled by the car. We calculate as follows:
Gallons of gasoline = 293 miles / 57 miles / gallon
Gallons of gasoline = 5.14 gallons
Therefore, about 5 gallons of gasoline was consumed by the hybrid car for a distance of 57 miles.
Answer:
D. (6,3)
Step-by-step explanation:
To the find which point can be located on the line you will have to find the point-slope form
The formula for point-slope form is y=mx+b
m is slope
b is y-intercept
Since we already know the slope we can just replace it:
y=1/2x+b
Now we need to find the y-intercept
We can do this by distributing them with (4,2)
As you remember in point the digits are in x and y
(x,y) so we can tell that 4 is x and 2 is y
Now we can substitute x with 4 and y with 2
2=1/2(4)+b
Multiply 1/2 and 4
which is 2
2=2+b
Thus b=0
So the slope intercept form is y=1/2x
Now we can substitute the other points:
For (5,2):
2=5/2
Which is incorrect since 2 does not equal 5/2
For (2,3):
3=1/2(2)
Which is
3=1
Which is incorrect since 3 does not equal 1
For (3,4)
4=1/2(3)
Which is
4=3/2
Which is incorrect since 4 does not equal 3/2
For (6,3)
3=1/2(6)
Which is
3=3
Which is correct since 3 does equal to 3
Hope this helps!
So I'm guessing that the x2 is your way of saying 2 is the exponent right? In that case the equation would be 8x^2 + 12x
Well you would have to pull out the gcf which in this case will be 4x after pulling out the gcf you should get 4x(2x + 3)
