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Taya2010 [7]
3 years ago
6

Solve for X to the nearest tenth

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
6 0
I think it’s gonna b 5
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The side lengths, in centimeters, of a triangle are 5x, 32, and 2(3x + 2). perimeter of the triangle is 80 centimeters. what is
Lerok [7]

Answer:

20 cm

Step-by-step explanation:

5x + 32 + 6x + 4 = 80

11x + 36 = 80

11x = 44

x = 4

sides of triangle:

5(4) = 20 cm

32 cm

6(4) + 2 = 26 cm

4 0
3 years ago
Let f(x) = (x − 3)−2. Find all values of c in (1, 7) such that f(7) − f(1) = f '(c)(7 − 1). (Enter your answers as a comma-separ
Sidana [21]

Answer:

This contradicts the Mean Value Theorem since there exists a c on (1, 7) such that f '(c) = f(7) − f(1) (7 − 1) , but f is not continuous at x = 3

Step-by-step explanation:

The given function is

f(x)=(x-3)^{-2}

When we differentiate this function with respect to x, we get;

f'(x)=-\frac{2}{(x-3)^3}

We want to find all values of c in (1,7) such that f(7) − f(1) = f '(c)(7 − 1)

This implies that;

0.06-0.25=-\frac{2}{(c-3)^3} (6)

-0.19=-\frac{12}{(c-3)^3}

(c-3)^3=\frac{-12}{-0.19}

(c-3)^3=63.15789

c-3=\sqrt[3]{63.15789}

c=3+\sqrt[3]{63.15789}

c=6.98

If this function satisfies the Mean Value Theorem, then f must be continuous on  [1,7] and differentiable on (1,7).

But f is not continuous at x=3, hence this hypothesis of the Mean Value Theorem is contradicted.

 

3 0
3 years ago
Please help me please help me help please help me please
erastovalidia [21]

9514 1404 393

Answer:

  6/2

Step-by-step explanation:

The slope is given by ...

  slope = (y2 -y1)/(x2 -x1)

  slope = (13 -7)/(4 -2) = 6/2

__

The value of the slope can be simplified to ...

  slope = 3

6 0
3 years ago
jonathan ran 5 days this week. the most he ran in one day was 3.5 miles. write an inequality that shows the distance jonathan co
poizon [28]
Let m represent the number of miles this guy runs in a day.
He runs every day, so the minimum number of miles has to be greater than 0.
According to the problem statement, the max number of miles is 3.5 miles or less.

Translate this into a (symbolic) inequality.
4 0
3 years ago
A number,M, is rounded to 1 decimal place. the result is 9.4 complete the error interval for M​
ivann1987 [24]

Answer:

9.35 \le M \le 9.45

Step-by-step explanation:

Given

M = 9.4 to 1 d p

Required

The error interval

The error interval is represented as:

Lower \le M \le Upper

Where

Lower = M - 0.05

Upper = M + 0.05

So, we have:

Lower = M - 0.05

Lower = 9.4 - 0.05

Lower = 9.35

Upper = M + 0.05

Upper = 9.4 + 0.05

Upper = 9.45

Hence, the error interval: Lower \le M \le Upper is:

9.35 \le M \le 9.45

3 0
3 years ago
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