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3 years ago

Find the length of the third side to the nearest tenth

Mathematics

1 answer:

mylen [45]3 years ago

7 0

Answer:

a=6.9

Step-by-step explanation:

a(2)+4(2)=8(2)

4×4=16 8×8=64

16-16 64-16

a(2)=6.9

Caculator:

Press 2nd, press x2(close to bottom left)

6.92 PLEASE ROUND

6.92=6.9

a=6.9

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Find the values of m and b that make the following function differentiable.

KengaRu [80]

$f(x)=\begin{cases}x^2&\text{for }x\le2\\mx+b&\text{for }x>2\end{cases}$

In order to be differentiable everywhere, $f$ must first be continuous everywhere, which means the limits from either side as $x\to2$ must be the same and equal to $f(2)$ . By definition, $f(2)=2^2=4$ , and

$\displaystyle\lim_{x\to2^-}f(x)=\lim_{x\to2}x^2=4$

$\displaystyle\lim_{x\to2^+}f(x)=\lim_{x\to2}(mx+b)=2m+b$

so we need to have $4m+b=4$ .

For $f$ to be differentiable at $x=2$ , the derivative needs to be continuous at $x=2$ , i.e.

$\displaystyle\lim_{x\to2^-}f'(x)=\lim_{x\to2^+}f'(x)$

We then need to have

$\displaystyle\lim_{x\to2}2x=\lim_{x\to2}m\implies\boxed{m=4}$

Then

$2m+b=4\implies\boxed{b=-4}$

7 0

3 years ago

Anika [276]

Answer:a,c,d

Step-by-step explanation:

8 0

3 years ago

PLEASE HELP WILL MARK BRAINLIEST

ANTONII [103]

Answer:

8 lb of flounder at $2.50/lb

4 lb of shrimp at $5.00/lb

Step-by-step explanation:

Let A be the pounds of shrimp

Let B be the pounds of flounder

Let C be the cost per pound of flounder

A + B = 12

A = 12 - B

BC = 20

A(2C) = 20

BC = A(2C)

BC = (12 - B)(2C)

BC = 24C - 2BC

3BC = 24C

3B = 24

B = 8 lb

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A = 4 lb

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Marianna [84]

Answer:

16 rooms

Step-by-step explanation:

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3 years ago

Plz help due soooon thx

Readme [11.4K]

Is blank dude can’t help you there

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3 years ago