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3 years ago

8

Mrs. Rodriguez wants to pay her restaurant bill which is $24.00. If Mrs. Rodriguez wants to leave a 20% tip on the total, how mu

ch should she pay?
$20.35
$26.40
$28.80
$33.60

2 answers:

Stella [2.4K]3 years ago

7 0

Answer:

28.80

Step-by-step explanation:

I took the test on edge 2020

fomenos3 years ago

7 0

Answer:

28.80

Step-by-step explanation:

I took the test on edge 2020

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Determine the values of the constants b and c so that the function given below is differentiable. f(x)={2xbx2+cxx≤1x>1

Lera25 [3.4K]

Assuming the function is

$f(x)=\begin{cases}2x&\text{for }x\le1\\bx^2+cx&\text{for }x>1\end{cases}$

For $f(x)$ to be differentiable, it necessarily has to be continuous. For this condition to be met, we need

$\displaystyle\lim_{x\to1^-}f(x)=\lim_{x\to1^+}f(x)=f(1)$
$\iff\displaystyle\lim_{x\to1}2x=\lim_{x\to1}(bx^2+cx)$
$\iff2=b+c$

For the derivative to exist, the one-sided limits of the derivative must also exist and be equal. We have

$f'(x)=\begin{cases}2&\text{for }x1\end{cases}$

$\displaystyle\lim_{x\to1^-}2=\lim_{x\to1^+}(2bx+c)$
$\iff2=2b+c$

Now we solve for $b$ and $c$ :

$\begin{cases}b+c=2\\2b+c=2\end{cases}\implies b=0,c=2$

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Step-by-step explanation:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

I need help on finding an equation!?

Sedbober [7]

Your distance from Seattle after two hours of driving at 62 mph, from a starting point 38 miles east of Seattle, will be (38 + [62 mph][2 hr] ) miles, or 162 miles (east).

Your friend will be (20 + [65 mph][2 hrs] ) miles, or 150 miles south of Seattle.

Comparing 162 miles and 150 miles, we see that you will be further from Seattle than your friend after 2 hours.

After how many hours will you and your friend be the same distance from Seattle? Equate 20 + [65 mph]t to 38 + [62 mph]t and solve the resulting equation for time, t:

20 + [65 mph]t = 38 + [62 mph]t

Subtract [62 mph]t from both sides of this equation, obtaining:

20 + [3 mph]t = 38. Then [3 mph]t = 18, and t = 6 hours.

You and your friend will be the same distance from Seattle (but in different directions) after 6 hours.

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3 years ago