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SCORPION-xisa [38]
4 years ago
10

Factor perfect square trinomials

Mathematics
1 answer:
asambeis [7]4 years ago
4 0
Divide 2y from all terms
2y(y^2+6y+9)
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Solve the system of equations below by graphing.
algol [13]

ANSWER


The correct answer is B

<u>EXPLANATION</u>

The first function is


x^2-2x+y-3=0


We make y the subject to obtain;


y=-x^2+2x+3


Let us quickly write this in the vertex form.


y=-(x^2-2x)+3


y=-(x^2-2x+(-1)^2)+3+(-1)^2


y=-(x-1)^2+4


Since the a is negative, the graph opens up.


The vertex is at (1,4)


The y-intercept is -3


The x-intercept is found by equating the function to zero.


-(x-1)^2+4=0


\Rightarrow (x-1)^2=4


\Rightarrow (x-1)=\pm 2


\Rightarrow x=1 \pm2

\Rightarrow x=-1,3


With these information we can quickly sketch the graph as shown in the attachment(the red graph).


For the second function,


x^2+y=0


we again make y the subject to obtain,


y=-x^2


This is a basic quadratic function that can be graphed easily. Note that it is also a maximum graph.


From the graph the solution to the two functions is


(-1.5,-2.25)





3 0
3 years ago
Terrence must decide which job offer to Accept One job pays $25 per hour for 37 1/2 hours each week and the other pays $825 per
inn [45]

Answer:

hi

hi

uo\\

Step-by-step explanation:

nkjo

4 0
4 years ago
You have a part time job, you get paid
stira [4]

Answer:

26.3 hours

Step-by-step explanation:

We need to divide 250 by 9.50, therefore we get the answer ≈ 26.3

3 0
3 years ago
Read 2 more answers
What percent of 60 is 27? <br><br>22 is 55% of what? ​
DerKrebs [107]

For this question, set up an equation.  60 times what decimal is 27?

60x=60

x=0.45

Convert this decimal to a percentage by multiplying it by 100:

45%

For this question, set up an equation.  55% (or 0.55) times what number equals 22?

0.55x=22

<em>*Divide both sides by 0.55*</em>

x=40

Hope this helps!!

4 0
4 years ago
What’s the answer to this question
Margaret [11]

Answer:

It would be x < 4.

Step-by-step explanation:

Your answer would be x < 4. This is because with this inequality, x would always be less than 4.

Know This:

<em>If it was less than or equal to 4 feet, it would of been x ≤ 4.</em>

Tips:

<em>Less or equal to:  x ≤ 4</em>

<em>Less than: x < 4</em>

<em>More or equal to: x ≥ 4</em>

<em>More than: x > 4</em>

8 0
3 years ago
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