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olga55 [171]
3 years ago
11

Evaluate: (x^2-1)/(x-1) if x goes to 1?

Mathematics
1 answer:
egoroff_w [7]3 years ago
6 0

Step-by-step explanation:

\displaystyle \lim_{x \to 1} \dfrac{(x^2 - 1)}{(x-1)} = \lim_{x \to 1} \dfrac{(x - 1)(x+1)}{(x-1)}

\:\:\:\:\:\:\:\:\displaystyle = \lim_{x \to 1} (x+1) =2

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Use the given endpoint R and the midpoint M of segment RS to find the coordinates of the other endpoint S. (Hint: Use the midpoi
zimovet [89]

Using the given endpoint R  (8,0)and the midpoint M (4,-5) , the other endpoint S is (0,-10)

Explanation :

Use the given endpoint R and the midpoint M of segment RS

R (8, 0 ) and M (4, -5 )

Let 'S' be (x2,y2)

Apply the midpoint formula

(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )\\

Endpoint R is (x1,y1) that is (8,0)

Substitute the values and make it equal to M(4,-5)

(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )\\\\(\frac{8+x_2}{2},\frac{0+y_2}{2} )=(4,-5)\\\\\frac{8+x_2}{2}=4\\8+x_2=8\\x_2=8-8=0\\x_2=0\\\\\\\frac{0+y_2}{2} =-5\\y_2=-10

So other endpoint S is (0,-10)

Learn more : brainly.com/question/16829448

8 0
3 years ago
What is the explicit formula for this sequence?
Zarrin [17]

Step-by-step explanation:

The above sequence is a geometric sequence

For an nth term in a geometric sequence

a(n) = a ({r})^{n - 1}

where

n is the number of terms

a is the first term

r is the common ratio

From the question

a = 5

r = 10/5 = 2

Therefore the explicit formula for this sequence is

a(n) = 5( {2})^{n - 1}

Hope this helps you

8 0
3 years ago
The graphs below have the same shape. What is the equation of the blue graph?
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Nonsense will be Reported!!​
USPshnik [31]

Step-by-step explanation:

1. when x is 0

y will be

4x+2y=10

4(0)+2y=10

0+2y=10

collect like terms

2y=10-0

2y=10

divide both sides by 2

2y/2=10/2

y=5

so when x =0 y will equal to 5

2. when x is 1

y will be

4x+2y=10

4(1)+2y=10

4+2y=10

collect like terms

2y=10-4

2y=6

divide both sides by two

2y/2=6/2

y=3

so when x is 1, y is 3

3. when x is 2

4x+2y=10

4(2)+2y=10

8+2y=10

(CLT) 2y=10-8

2y =2

y= 1

6 0
2 years ago
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If f(x)= 3/x+2- square root x-3, complete the following statement: f(19)=
I am Lyosha [343]

f(7)≈1.6666                Please mark me as brainliest

round

f(7)=1.67

The domain of the function is the set of all the values of x that would allow the function to have real values. Since the radicand is x - 3, the value of x cannot be less than 3 because that would make the value of sqrt (x - 3) an imaginary number. Thus, the domain should be all numbers GREATER than or equal to 3.

8 0
3 years ago
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