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Alexxandr [17]
2 years ago
13

What is -3 5/6x-4/7?

Mathematics
1 answer:
Shkiper50 [21]2 years ago
8 0

Answer:

35

x

6

−

4

7

35x   -   4

6            7

Step-by-step explanation:

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The slope f′(x) at each point (x,y) on a curve y=f(x) is given, along with a point (a,b) on the curve. Use this information to f
Montano1993 [528]

f'(x)=\dfrac{4x}{1+7x^2}

Integrating gives

f(x)=\displaystyle\int\frac{4x}{1+7x^2}\,\mathrm dx

To compute the integral, substitute u=1+7x^2, so that \frac27\,\mathrm du=4x\,\mathrm dx. Then

f(x)=\displaystyle\frac27\int\frac{\mathrm du}u=\frac27\ln|u|+C

Since u=1+7x^2>0 for all x, we can drop the absolute value, so we end up with

f(x)=\dfrac27\ln(1+7x^2)+C

Given that f(0)=10, we have

10=\dfrac27\ln1+C\implies C=10

so that

\boxed{f(x)=\dfrac27\ln(1+7x^2)+10}

7 0
3 years ago
If B is the midpoint of AC, AC=CD, AB=3x+4, AC=11x-17, and CE=49, find DE.
Luba_88 [7]

Answer:

11

Step-by-step explanation:

AB = 3x + 4 and AC which is twice of AB is equal to 11x - 17

2 (3x + 4) = 11x - 17

6x + 8 = 11x - 17

8 + 17 = 11x - 6x

25 = 5x

5 = x

AC = CD = 11x - 17 ➡ 11×5 - 17 = 38

CD = 38 and DE = 49 - 38 = 11

6 0
3 years ago
Adventure Park built a new sandbox that is 3 m long, 2 m wide,and 1 m high. Sand for the sandbox costs $4.50 per cubic meter
leonid [27]

Answer:

the total cost will be $27.00

6 0
3 years ago
The sum of 10 and a number x is equal to 14.
Scorpion4ik [409]

Answer:

10+x=14; x=4

<h2>Step-by-step explanation:</h2>

10+x=14

-10     -10

The 10's cancel out

x=4

4 0
3 years ago
Read 2 more answers
Solve the equation, 4 - (x + 1) = 6.​
elena-14-01-66 [18.8K]

Answer:

x = - 3

Step-by-step explanation:

4 - (x + 1) = 6

- (x + 1) = 6 - 4

-x - 1 = 6 - 4

-x - 1 = 2

- x = 2 + 1

- x = 3

x = - 3

If you need the process explained more in depth just let us know

7 0
2 years ago
Read 2 more answers
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