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aleksley [76]
3 years ago
7

Does the MVT apply? Explain why or why not. y=-x^2/x-1 ; [-1,1]

Mathematics
1 answer:
frez [133]3 years ago
8 0

Hi there!

\large\boxed{\text{No, it does not.}}

y = \frac{x^{2} }{x-1}

Looking at the equation, we can see that there is a discontinuity at x = 1 (Vertical Asymptote).

The interval given also includes x = 1 as an enclosed value.

Therefore, the MVT does not apply because the equation is not continuous on the interval [-1, 1].

You might be interested in
What is the value of $x$ if $-\frac23(x-5) = \frac32(x+1)$?
Ipatiy [6.2K]

Answer:

x = (-29)/5

Step-by-step explanation:

Solve for x:

(2 (x - 5))/3 = (3 (x + 1))/2

Multiply both sides by 6:

(6×2 (x - 5))/3 = (6×3 (x + 1))/2

6/3 = (3×2)/3 = 2:

2×2 (x - 5) = (6×3 (x + 1))/2

6/2 = (2×3)/2 = 3:

2×2 (x - 5) = 3×3 (x + 1)

2×2 = 4:

4 (x - 5) = 3×3 (x + 1)

3×3 = 9:

4 (x - 5) = 9 (x + 1)

Expand out terms of the left hand side:

4 x - 20 = 9 (x + 1)

Expand out terms of the right hand side:

4 x - 20 = 9 x + 9

Subtract 9 x from both sides:

(4 x - 9 x) - 20 = (9 x - 9 x) + 9

4 x - 9 x = -5 x:

-5 x - 20 = (9 x - 9 x) + 9

9 x - 9 x = 0:

-5 x - 20 = 9

Add 20 to both sides:

(20 - 20) - 5 x = 20 + 9

20 - 20 = 0:

-5 x = 9 + 20

9 + 20 = 29:

-5 x = 29

Divide both sides of -5 x = 29 by -5:

(-5 x)/(-5) = 29/(-5)

(-5)/(-5) = 1:

x = 29/(-5)

Multiply numerator and denominator of 29/(-5) by -1:

Answer: x = (-29)/5

4 0
3 years ago
I'm in a rush & I really need to solve these two problems:
Elenna [48]
1. 23.5 x 2.3 = 54.05
when you are multiplying decimals you have to line up the decimal point.
example:
23.5
2.3

2. 12.34 x 4.321 = 53.32114
once again you need to line up your decimals when multiplying two decimals.
example: however I had to add a zero to the number 12.34 so everything would line up correctly. I hope you understand that.
12.340
4.321
5 0
3 years ago
HELP PLEASE !! .................................................................................................................
myrzilka [38]

Answer:

15

Step-by-step explanation:

Substitute a and b then

Follow PEMDAS

Hope this helps! :)

5 0
3 years ago
Read 2 more answers
What’s the answer?????
posledela

Answer:9

Step-by-step explanation: x+4=13

x=13-4

x=9

3 0
3 years ago
Read 2 more answers
What is 8.9 divided by 0.62
Solnce55 [7]
14.35 is Ur answer to Ur Division
3 0
3 years ago
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