Simplify 12(6)-7(2)+(6-3)

2 answers:

7 0

Explanation:

1. 12(6)-7(2)+(6-3)

2. Deal with everything in ()

3. 72-14+3

4. Solve using Pemdas, from left to the right

5. 61

So our final answer is

61

I hope this helps you!!!!!

Ber [7]4 years ago

5 0

Step-by-step explanation:

12(6) - 7(2) + (6-3)

48 - 14 + 2

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A cab company charges $4 per cab ride, plus an additional $3 per mile driven. How long is a cab ride that costs $22?

Doss [256]

Answer:

6 miles

Step-by-step explanation:

Flat fee is $4

Per mile is $3

Equation :

4 + 3m = 22

subtract 4 from both sides

3m = 18

divide each side by 3

m = 6

The ride is 6 miles.

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-Chetan K

8 0

3 years ago

Lim x->pi/3 ((2cosx-1)/(tan^2x-3))

beks73 [17]

You can check that the limit comes in an undefined form:

$\displaystyle \lim_{x\to\frac{\pi}{3}} \frac{2\cos(x)-1}{\tan^2(x)-3}=\dfrac{0}{0}$

In these cases, we can use de l'Hospital rule, and evaluate the limit of the ratio of the derivatives. We have:

$\dfrac{\text{d}}{\text{d}x}2\cos(x)-1 = -2\sin(x)$

and

$\dfrac{\text{d}}{\text{d}x}\tan^2(x)-3 = 2\dfrac{\tan(x)}{\cos^2(x)}=\dfrac{2\sin(x)}{\cos^3(x)}$

So, we have

$\displaystyle \lim_{x\to\frac{\pi}{3}} \frac{2\cos(x)-1}{\tan^2(x)-3}=\lim_{x\to\frac{\pi}{3}} \dfrac{-2\sin(x)}{\frac{2\sin(x)}{\cos^3(x)}}=\lim_{x\to\frac{\pi}{3}}-\cos^3(x)=-\cos^3\left(\dfrac{\pi}{3}\right)$