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dsp73
2 years ago
9

Find the solution to each system by "GRAPHING" y=x-3 y= -1/2x + 3

Mathematics
1 answer:
weeeeeb [17]2 years ago
6 0

Answer:

x = -12

Step-by-step explanation:

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Write a polynomial function f of least degree that has a leading coefficient of 1 and the given zeros -4,-2,5. write the functio
OLga [1]

Answer:

Step-by-step explanation:

This is a third degree polynomial since we have 3 zeros.  We find these zeros by factoring the given polynomial.  The zeros of a polynomial are where the graph of the function goes through the x-axis (where y = 0).  If x = -4, the factor that gives us this value is (x + 4) = 0 and solving that for x, we get x = -4.  If x = -2, the factor that gives us that value is (x + 2) = 0 and solving that for x, we get x = -2.  Same for the 5.  The way we find the polynomial that gave us these zeros is to go backwards from the factors and FOIL them out.  That means that we need to find the product of

(x + 4)(x + 2)(x - 5).  Do the first 2 terms, then multiply in the third.

(x+4)(x+2)=x^2+2x+4x+8, which simplifies to

x^2+6x+8

No we multiply in the final factor of (x - 5):

(x^2+6x+8)(x-5)=x^3+6x^2+8x-5x^2-30x-40 which simplifies to

f(x)=x^3+x^2-22x-40

If you are aware of the method for factoring higher degree polymomials, which is to use the Rational Root Theorem and synthetic division, you will see that this factors to x = -4, -2, 5.  If you know how to use your calculator, you will find the same zeros in your solving polynomials function in your apps.

3 0
3 years ago
AKJL-AWJX. Identify the coordinates of X and the scale factor.
aleksandr82 [10.1K]
Do you still need help with this question?
4 0
2 years ago
Solve for n. 1/2n+3/4n=12
sveta [45]
First you add 1/2 and 3/4:
5/4n

5/4n = 12 so you divide both sides by 5/4
That gives you the answer of n= 9.6.

Hope this helped :)
7 0
3 years ago
7 = 3t - 3 - 2+ + 6. <br><br>Justification: ? property​
Volgvan

Answer:

7 = 3t + 1

t = 6

....................

7 = 3t - 2t + 3

t = 4

4 0
3 years ago
3. Reason quantitatively. A figure has vertices P(-3, 1), Q(9, 1), R(3, —7), and S(-9, -7).
BlackZzzverrR [31]
Don’t listen to them
3 0
3 years ago
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