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marysya [2.9K]
3 years ago
9

For what values of x is the trinomial 2x^2-x+55 equal to the square of binomial x+5

Mathematics
2 answers:
jeka943 years ago
7 0

Answer:

x = 6 , 5. For these values of x they are equal.

Step-by-step explanation:

2x²  - x + 55 =(x +5)²

2x² - x + 55 = x² + 2*x*5 + 5²

2x² - x + 55 = x² + 10x + 25

2x² - x + 55 - x²  - 10x - 25 = 0

2x² - x² - x - 10x + 55 - 25 = 0

x² - 11x + 30 = 0

x² -6x - 5x  + 30 = 0

x(x - 6) - 5(x - 6) = 0

(x - 6)(x - 5) = 0

x - 6 = 0 ;  x - 5 = 0

x = 6      ;      x = 5

enyata [817]3 years ago
4 0

Answer:

Step-by-step explanation:

\displaystyle 2x^2-x+55=(x+5)^2 \\\\ 2x^2-x+55=x^2+10x+25 \\\\ 2x^2-x^2-x-10x+55-25=0  \\\\x^2-11x+30=0  \\\\ \left \{ {{x_1+x_2=11} \atop {x_1x_2=30 }} \right. => x_1=6 \ \ ;  \ \  x_2=5

\huge  \boldsymbol{ \mathfrak {Answe}r :} x_1=6 \ \ ;  \ \  x_2=5 }

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Which of these tables represents a non-linear function?
olchik [2.2K]

Answer:

we conclude that the table ''A 2-column table with 4 rows. Column 1 is labeled x with entries 17, 18, 19, 20. Column 2 is labeled y with entries 16, 17, 19, 20'' represents a non-linear function.

Step-by-step explanation:

The nature of whether a function can be linear or non-linear, we must check how the x and y values of the table change. If the first difference between y-values remains the same (constant first difference), then the table will represent a linear function, otherwise not.

Given the x and y entries of the first table:

x            y

17           20

18           19

19           18

20          17

From the table, it is clear that as x constantly increases by 1 unit, the y-values are also changing constantly by 1 unit. The first difference between y-values remains the same.

i.e. 19-20=-1, 18-19=-1, 17-18=-1

Thus, this table represents a linear function.

Given the x and y entries of the second table:

x            y

17          -16

18          -17

19           -18

20          -19

From the table, it is clear that as x constantly increases by 1 unit, the y-values are also changing constantly by 1 unit. The first difference between y-values remains the same.

i.e. -17-(-16)=-1, -18-(-17)=-1, -19-(-18)=-1

Thus, this table represents a linear function.

Given the x and y entries of the second table:

x            y

17          16

18          17

19           19

20          20

From the table, it is clear that as x constantly increases by 1 unit, but the y-values are not changing constantly. The first difference between y-values does not remain the same.

i.e. 17- 16 = 1, 19 - 17 = 2, 20 - 19 = 1

Thus, this table does not represent a linear function. Hence, it is a non-linear function.

Given the x and y entries of the second table:

x            y

17          -20

18          -19

19           -18

20          -17

From the table, it is clear that as x constantly increases by 1 unit, the y-values are also changing constantly by 1 unit. The first difference between y-values remains the same.

i.e. -19-(-20)=1, -18-(-19)=1, -17-(-18)=1

Thus, this table represents a linear function.

Therefore, we conclude that the table ''A 2-column table with 4 rows. Column 1 is labeled x with entries 17, 18, 19, 20. Column 2 is labeled y with entries 16, 17, 19, 20'' represents a non-linear function.

4 0
3 years ago
Solve the equation 4p+9+(-7p)+2=
mr_godi [17]
4p+9-7p+2=
group like terms
4p-7p+9+2
addd like terms
-3p+11
that is simplified form

6 0
3 years ago
Amanda simplifies the following expression and shows her work below. What mistake did Amanda make that resulted in an incorrect
den301095 [7]

Answer:

A, She added before multiplying.

Step-by-step explanation:

First, start off by using GEMDAS.

Grouping

Exponents

Multiply

Divide

Add

Subtract

You work from left to right - so you obviously divide first, which Amanda did successfully. Then, you multiply, which is exactly where Amanda went wrong. She was supposed to multiply before adding the 3 with 4.

Not sure if this made sense,

8 0
2 years ago
Helpppppppppppppppppppp
lora16 [44]

Answer: I think it's C


Step-by-step explanation:

(83-64)-(64+29)

83-64=19

64+29=93      

<u><em>19x-93</em></u>

3 0
3 years ago
What is the median of the ages in this stem-and-leaf plot? 43 45 46 47
ICE Princess25 [194]
To find a median of an even amount of numbers, add the two middle numbers, and divide by two.

45 + 46 = 91

91/2 = 45.5

45.5 is your median

hope this helps
6 0
3 years ago
Read 2 more answers
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