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Step2247 [10]
3 years ago
12

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
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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

A + 8 = 12

    A = 4 lb

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Eric paints 8 rooms in 3 days for 600$ about how many rooms could Eric paint in 6 days?
Marianna [84]

Answer:

16 rooms

Step-by-step explanation:

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Plz help due soooon thx
Readme [11.4K]
Is blank dude can’t help you there
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