Which expression is equivalent to 2.8k - 8.4

Mathematics

1 answer:

solniwko [45]3 years ago

4 0

2800-8.4
Is this good

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Interior angle of triangles

Neporo4naja [7]

I'm not sure what you are looking for. If you want to know the total number of degrees that interior angles of triangles total, they add up to 180°.

Hope this helps! :)

7 0

3 years ago

Round each number to the nearest whole number. What is the best estimate for the answer to 276.37 – 67.81? A. 209 B. 208.6

pav-90 [236]

A.209

276.37 – 67.81 = 208.56
The 5 in .56 means round up.
This means 208.56 will turn into 209.

8 0

3 years ago

Read 2 more answers

For what values of x is f(x) = |x + 1| differentiable? I'm struggling my butt off for this course

pav-90 [236]

By definition of absolute value, you have

$f(x) = |x+1| = \begin{cases}x+1&\text{if }x+1\ge0 \\ -(x+1)&\text{if }x+1$

or more simply,

$f(x) = \begin{cases}x+1&\text{if }x\ge-1\\-x-1&\text{if }x$

On their own, each piece is differentiable over their respective domains, except at the point where they split off.

For x > -1, we have

(x + 1)' = 1

while for x < -1,

(-x - 1)' = -1

More concisely,

$f'(x) = \begin{cases}1&\text{if }x>-1\\-1&\text{if }x$

Note the strict inequalities in the definition of f '(x).

In order for f(x) to be differentiable at x = -1, the derivative f '(x) must be continuous at x = -1. But this is not the case, because the limits from either side of x = -1 for the derivative do not match:

$\displaystyle \lim_{x\to-1^-}f'(x) = \lim_{x\to-1}(-1) = -1$