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Vaselesa [24]
4 years ago
6

The diagram represents 6x2 – 7x + 2 with a factor of 2x – 1. A 2-column table with 2 rows. First column is labeled 2 x with entr

ies 6 x squared, negative 4 x. Second column is labeled negative 1 with entries negative 3 x, 2. Both rows are labeled with a question mark. What is the other factor of 6x2 – 7x + 2? 3x – 2 3x – 1 3x + 1 3x + 2
Mathematics
2 answers:
sukhopar [10]4 years ago
8 0

Answer:

(  3x -2)

Step-by-step explanation:

6x^2 – 7x + 2

We know that the constant only has factors of 1 and 2

Since the middle term is negative we know that that we are subtracting

A negative times a negative is positive for the final term

A negative plus a negative is negative for the middle term

(   -1 ) (   -2)

We have to determine how to break up 6x^2

1x * 6x

2x*3x

3x*2x

6x*1x

We are given that one factor is 2x-1

(  2x -1 ) (   -2)

That means the other factor of 6x^2 is 3x  ( 2x*3x)

(  2x -1 ) (  3x -2)

finlep [7]4 years ago
5 0

Answer:

3x-2

Step-by-step explanation:

  • 6x² – 7x + 2= 6x² -3x- 4x + 2= 3x(2x-1)- 2(2x-1)= (2x-1)(3x-2)

Factors are:

  • 2x-1 and 3x-2

--------------

  • 3x – 2 correct
  • 3x – 1  incorrect
  • 3x + 1  incorrect
  • 3x + 2 incorrect
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3 years ago
The table represents the function f(x). If g(x) = -(x + 1)^2 - 10, which statement is true?
miskamm [114]

Answer:

Answer C is correct.

Step-by-step explanation:

f(x) clearly has a maximum:  y = +10 at x = 0.

Analyzing g(x) = -(x + 1)^2 - 10, we see that the vertex is at (-1, -10), and that the graph opens down.  Thus, -10 is the maximum value; it occurs at x = -1.

Answer A is false.  Both functions have max values.

Answer B is false.  One max is y = 10 and the other is y = -10.

Answer C is correct.  The max value of f(x), which is 10, is greater than the max value of g(x), which is -10.

Answer D is false.  See Answer B, above.

5 0
3 years ago
Draw a line having a slope of 1/3 and y-intercept of -1
Lilit [14]
Equation for slope=1/3 and y-intercept=-1 is:
y = mx + b
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So, equation becomes
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Now put different values of x in the equation to get corresponding value of y.
x          y
0         1/3
1        -2/3
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Answer:

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3 years ago
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gogolik [260]

Answer:

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Step-by-step explanation:

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3 years ago
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