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Ivanshal [37]
3 years ago
12

The smallest integer that can be added to -2m3 − m + m2 + 1 to make it completely divisible by m + 1 is

Mathematics
1 answer:
QveST [7]3 years ago
3 0
Hello,
 
-2m^3+m²-m+1=(m+1)(-2m²+3m-4) +5

We must add -5 ; the remainder will be 5-5=0.

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Which pair of expressions represents inverse functions
Natali5045456 [20]

Answer: C. \dfrac{x+3}{4x-2} and \dfrac{2x+3}{4x-1}


Step-by-step explanation: if a function f(x) has g(x) as its inverse then it satisfies fog(x)=x and gof(x)=x

C. f(x)=\dfrac{x+3}{4x-2} and g(x)=\dfrac{2x+3}{4x-1}

   fog(x)=f(\dfrac{2x+3}{4x-1})

              =\dfrac{\dfrac{2x+3}{4x-1}+3 }{\dfrac{4(2x+3)}{4x-1}-2 }

               =x

   gof(x)=g(\dfrac{x+3}{4x-2})

              =\dfrac{\dfrac{2(x+3)}{4x-2} +3}{\dfrac{4(x+3)}{4x-2}-1 }

               =x

hence C. is the pair of inverse functions


7 0
3 years ago
Read 2 more answers
Please can you help me I'll mark brainiest please and it's being timed!!
Scrat [10]

Answer:

Step-by-step explanation:

The point ( -2 , 3) lies in the 2nd quadrant

Point are generally in the form (x , y). The point you need to plot is ( -2 , 3) which means the value of x = -2 and the value of y = 3.

I have attached an image you can check it out.

8 0
3 years ago
Y=2x^2+12x+14 in vertex form
balandron [24]

Answer:

y = 2(x + 3)² - 4

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Using the method of completing the square

y = 2x² + 12x + 14 ← factor out 2 from the first 2 terms

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To complete the square

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y = 2(x² + 2(3)x + 9 - 9 ) + 14

  = 2(x + 3)² - 18 + 14

  = 2(x + 3)² - 4 ← in vertex form

4 0
3 years ago
In the year 2007, a person bought a new car for $23500. For each consecutive year after that, the value of the car depreciated b
Alexandra [31]

Answer:

17155

Step-by-step explanation:

23500-27%-17155

To the nearest hundred: 17200.

8 0
3 years ago
John paid $100 for renting a canoe for 5 hours. Which graph shows the relationship between the cost of renting a canoe for diffe
Anarel [89]

Answer:

The answer is B.

Step-by-step explanation:

You would pay about $20 each hour

5 0
3 years ago
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