Answer:
7a 3 −7a+1
Step-by-step explanation: I hope this help.
STEP
1
:
Equation at the end of step 1
((7a3 - 2a) - 2) + (3 - 5a)
STEP
2
:
Polynomial Roots Calculator :
2.1 Find roots (zeroes) of : F(a) = 7a3-7a+1
Polynomial Roots Calculator is a set of methods aimed at finding values of a for which F(a)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers a which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 7 and the Trailing Constant is 1.
The factor(s) are:
of the Leading Coefficient : 1,7
of the Trailing Constant : 1
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 1.00
-1 7 -0.14 1.98
1 1 1.00 1.00
1 7 0.14 0.02
Polynomial Roots Calculator found no rational roots
Final result :
7a3 - 7a + 1
Answer:
Step-by-step explanation:
Discount = Regular price × % discount
![\text{Discount} = \text{\$179 regular price} \times \dfrac{\text{\$20 }}{\text{\$100 regular price}} = \textbf{\$35.80}\\\text{Selma will save $\large \boxed{\mathbf{\$35.80}}$}](https://tex.z-dn.net/?f=%5Ctext%7BDiscount%7D%20%3D%20%5Ctext%7B%5C%24179%20regular%20price%7D%20%5Ctimes%20%5Cdfrac%7B%5Ctext%7B%5C%2420%20%7D%7D%7B%5Ctext%7B%5C%24100%20regular%20price%7D%7D%20%3D%20%5Ctextbf%7B%5C%2435.80%7D%5C%5C%5Ctext%7BSelma%20will%20save%20%24%5Clarge%20%5Cboxed%7B%5Cmathbf%7B%5C%2435.80%7D%7D%24%7D)
Answer:
x=4 y=1
x=4 y=4
Step-by-step explanation:
x=4 goes on plot 4
(4,f(4)) plot goes on 4 x, 4 and y, 4
hope this helps
Answer: The area of the Polygon D is 36 times larger than the area of the Polygon C.
Step-by-step explanation:
<h3>
The complete exercise is: "Polygon D is a scaled copy of Polygon C using a scale factor of 6. How many times larger is the area of Polygon D than the area Polygon C"?</h3>
In order to solve this problem it is important to analize the information provided in the exercise.
You know that the Polygon D was obtained by multiplying the lengths of the Polygon C by the scale factor of 6.
Then, you can identify that the Length scale factor used is:
![Length\ scale\ factor=k=6](https://tex.z-dn.net/?f=Length%5C%20scale%5C%20factor%3Dk%3D6)
Now you have to find the Area scale factor.
Knowing that the Length scale factos is 6, you can say that the Area scale factor is:
![Area \ scale\ factor=k^2=6^2](https://tex.z-dn.net/?f=Area%20%5C%20scale%5C%20factor%3Dk%5E2%3D6%5E2)
Finally, evaluating, you get that this is:
![Area \ scale\ factor=36](https://tex.z-dn.net/?f=Area%20%5C%20scale%5C%20factor%3D36)
Therefore, knowing the Area scale factor, you can determine that the area of the Polygon D is 36 times larger than the area of the Polygon C.
Answer:
4th choice: I and IV only
Step-by-step explanation:
Change the form of the given equation to standard form.
y = -2/3 x + 2
3y = -2x + 6
2x + 3y = 6
Now compare this equation with the 4 choices.
Any equation that has the same x- and y-terms but a different constant term is parallel.
I. is parallel.
II. and III. are not parallel.
Look at IV.:
4x + 6y = 3
Divide both sides by 2:
2x + 3y = 3/2
IV. is also parallel.
Answer: 4th choice: I and IV only