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Flauer [41]
3 years ago
12

I am thinking of n consecutive positive integers, the smallest of which is m. What formula represents the largest of these integ

ers?
Mathematics
2 answers:
weqwewe [10]3 years ago
3 0

Answer:

m+n-1

Step-by-step explanation:

I am thinking of n consecutive positive integers. The smallest of these numbers is m.

So,

  • a_1=m - the first number,
  • a_2=m+1 - the second number,
  • a_3=m+2 - the third number,
  • ...
  • a_n=m+(n-1)=m+n-1 - the nth number.

The list of n consecutive positive integers is

m, \ m+1,\ m+2,\ m+3, \ ... ,\ m+n-1

The largest integer is m+n-1

Alex Ar [27]3 years ago
3 0

Answer:

a_n=m+n-1

Step-by-step explanation:

We are given that n consecutive integers.

Smallest positive integer=m

We have to find the formula which represents the  largest positive integer of given integers.

Suppose we have n positive consecutive integers

First integer=m

Second positive integer=m+1

Third integer=m+2

:

:

:

d_1=m+1-m=1

d_2=m+2-m-1=1

Difference between  consecutive integers are constant. It means it is in A.P

nth term of AP is given by

a_n=a+(n-1)d

Substitute the value

a_n=m+(n-1)

a_n=m+n-1

Hence, the formula that represents the largest integer of given integers is given by

a_n=m+n-1

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Answers:

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Step-by-step explanation:

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f(-4) + g(-1) = (-4)² + 3 + <em>2(-1) + 3</em>  =  16 + 3 <em>- 2 + 3</em> = 20   <em>(since g(x) = 2X + 3)</em>

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3f(x) - 2g(x) = 3[x² +3] - 2[2x + 3} = 3x² + 9 - 4x - 6  =  3x² - 4x + 3

f(g(2)):  First, evaluate g(2).  It is g(2) = 2(2) + 3 = 7.  Next, use this output, 7, as the input to f(x):    f(g(x)) = (7)² + 3 = 49 + 3 = 52

g(f(2)):  First, evaluate f(x) at x = 2:  f(2) = (2)² + 3 = 7.  Next, use this 7 as the input to g(x):     g(f(2)) = g(7) = 2(7) + 3 = 17

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- 3 \times  - 2 = k

Multiply out the left hand keeping in mind that negative times negative yields a positive result.

This implies that;

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Please answer quickly I will give brainliest- Kelsey has a list of possible functions. Pick one of the g(x) functions below and
Marizza181 [45]

Answer:

1. Behavior

The g(x) is large and positive when x is large and positive;

The g(x) is large and negative when x is large and negative.

2. y-intercept= -18

3. The zeros are: -3, -2 and 3

Step-by-step explanation:

1. End behavior:

To find this you have to know the leading coefficient of the variable with the highest degree, and whether the degree is even or odd.  

(x + 3) = x positive, coefficient 1

(x + 2) = x positive, coefficient 1

(x − 3)=  x positive, coefficient 1

The coefficient is 1*1*1= 1 = positive

There are 3 x, so it will be x^3= odd

The behavior for odd and positive will be:

g(x) is + ∞ when x=>+∞

g(x) is -∞ when x=>-∞

or

The g(x) is large and positive when x is large and positive;

The g(x) is large and negative when x is large and negative.

2. Y-intercept

The y-intercept is the value of y when the graph touches the y-axis. The y-axis is located at x=0, so to find the y-intercept you need to put x=0 on the graph function. Some graphs can have two y-intercepts but the graph on the question only has one. The calculation will be:

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3. Zeros

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x_{1}+3=0

x_{1}=-3

x_{2} +2=0

x_{2}=-2

x_{3}-3=0

x_{3}=3

The zeros are: -3, -2 and 3

8 0
3 years ago
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