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olga55 [171]
2 years ago
6

Write an equation for the polynomial graphed below

Mathematics
1 answer:
Anit [1.1K]2 years ago
6 0

The expression for the polynomial graphed will be y(x) = (x + 3)(x - 1 )(x - 4 ).

<h3>How to factor the polynomial?</h3>

From the graph, the zeros of the polynomial of given graph are:

x = -3

x = 1

x = 4

Equate the above equations to zero

x + 3 = 0

x - 1 = 0

x - 4 = 0

Multiply the equations

(x + 3)(x - 1 )(x - 4 ) = 0

Express as a function gives;

y = (x + 3)(x - 1 )(x - 4 )

Hence, the factored form of the polynomial will be y = (x + 3)(x - 1 )(x - 4 ) .

Read more about polynomials at:

brainly.com/question/4142886

#SPJ1

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Radicales simples ……….
Alex

The expressions with radicals which are variables and numbers raised to a fractional indices are simplified as follows.

13. √(9·x)  = 3·√x

14. √(4·y) = 2·√y

15. √(8·x²) = 2·x·√2

16. √(9·x²) = 3·x

17. √(3·x²) = x·√3

18. √(5·y²) = y·√5

19. √(13·x²) = x·√(13)

20. √(29·y²) = y·√(29)

21. √(64·y²) = 8·y

22. √(125·a²) = 5·a·√5

23. ∛(16) = 2·∛2

24. √(50·a²·b) = 5·a·√(2·b)

<h3>What are radicals expressions?</h3>

A radical expression is one that contains the radical (square root or nth root) sign, √.

13. √(9·x)

√(9·x) = √(3²·x) = 3·√x

  • √(9·x)  = 3·√x

14. √(4·y)

√(4·y) = √(2²·y) = 2·√y

  • √(4·y) = 2·√y

15. √(8·x²)

√(8·x²) = √(4 × 2·x²) = √(2² × 2·x²)

√(2² × 2·x²) = √(2²·x² × 2) = 2·x·√2

  • √(8·x²) = 2·x·√2

16. √(9·x²)

√(9·x²) =  √(3²·x²) = 3·x

  • √(9·x²) = 3·x

17. √(3·x²)

  • √(3·x²) = x·√3

18. √(5·y²)

√5 × √(y²) = √5 × y = y·√5

  • √(5·y²) = y·√5

19. √(13·x²)

√(13·x²) = √(13) × √x² = √(13) × x = x·√(13)

  • √(13·x²) = x·√(13)

20. √(29·y²)

√(29·y²) = √(29) × √(y²) = √(29) × y = y·√(29)

  • √(29·y²) = y·√(29)

21. √(64·y²)

√(64·y²) = √(8²·y²) = √(8²) × √(y²) = 8 × y = 8·y

  • √(64·y²) = 8·y

22. √(125·a²)

√(125·a²) = √(25 × 5 × a²) = √(25) × √5 × √(a²) =  5 × √5 × a

5 × √5 × a  = 5·a·√5

  • √(125·a²) = 5·a·√5

23. ∛(16)

∛(16) = ∛(16) = ∛(8 × 2) =  ∛(2³ × 2) = 2·∛2

  • ∛(16) = 2·∛2

24. √(50·a²·b)

√(50·a²·b) = √(25 × 2 × a² × b) = √(5² × 2 × a² × b) = √(5² × a² × 2 × b)

√((5² × a²) × 2 × b) = 5·a·√(2·b)

  • √(50·a²·b) = 5·a·√(2·b)

Learn more about simplifying expressions with radicals here:

brainly.com/question/13114751

#SPJ1

5 0
1 year ago
A student received an 82% on an exam. If there were 50 questions on the exam, which ratio would show the number of questions ans
solmaris [256]
Hello!

To solve this we have to find what 82% of 50 is

So we do 50 * 0.82 where 0.82 is 82% as a decimal.

This gives us 41

So the answer is D

Hope this helps!
8 0
3 years ago
Read 2 more answers
Mandy's science class counted the bones in an owl pellet.
Kamila [148]
Each of those bones pictures are equal to 2 bones. The question is asking, how many more rib bones than skull and jaw bones combined, so you’re gonna have to do some addition and subtraction.

You take the number of skull bones, which is 1(2), and add that to the number of jaw bones, which is 0. Giving you a total of 2 bones.

Then you are taking the rib bones 3(2) and finding out that you have 6.

So with that information, you can find out that there are 4 more rib more than skull and jaw bones combines (6-2=4)
8 0
3 years ago
4. What percent of 20 is 5?​
Sladkaya [172]

Answer:

25%

Step-by-step explanation:

5 x 4 = 20 and 4 x 25% is 100%

7 0
3 years ago
How do u determine the equation of the line through each pair of points in slope-intercept form (y=mx+b). (3,0) and (2,4) (-6,3)
steposvetlana [31]

Answer:

Y =-4X +12

Y =-0.625X  -0.75

Step-by-step explanation:

(3,0) and (2,4)....

x1 y1  x2 y2

3 0  2 4

   

(Y2-Y1) (4)-(0)=   4  ΔY 4

(X2-X1) (2)-(3)=    -1  ΔX -1

   

slope= -4          

B= 12          

   

Y =-4X +12    

~~~~~~~~~~~~~~~~~

(-6,3) and (2,-2)​

x1 y1  x2 y2

-6 3  2 -2

   

(Y2-Y1) (-2)-(3)=   -5  ΔY -5

(X2-X1) (2)-(-6)=    8  ΔX 8

   

slope= -  5/8    

B= -  3/4    

   

Y =-0.625X  -0.75    

6 0
3 years ago
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