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rodikova [14]
3 years ago
8

Find the derivative of y=x²+3x​

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
7 0

Answer:

\frac{dy}{dx} = 2x + 3

Step-by-step explanation:

Differentiate each term using the power rule

\frac{d}{dx} (ax^{n} ) = nax^{n-1}

y = x² + 3x

\frac{dy}{dx} = 2x^{(2-1)} + 3x^{(1-1)}

   =  2x + 3x^{0}

   = 2x + 3

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See the similarity between this and the first version? Thus, we can represent what is given in the problem as:
Q = a * b^t  = a * (1 + r)^t

Thus, b = 1 + r. Since b = 0.8, we can find r.
0.8 = 1 + r
r = -0.2, or r = -20%.
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3 years ago
3.<br>Find two rational numbers between<br>and 3/4 and 5/9​
Sholpan [36]

Answer:

6/9,5/8

Step-by-step explanation:

Those were just examples, they can be literally any number between 5/9 and 3/4.

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3 years ago
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What would be the best description of the John’s times rounded to quarter hours (15 minutes)
never [62]

Answer:

2. 8:45am to 5:15pm

Step-by-step explanation:

Looking at the table of John's times, he arrived at 8:42am and left at 5:14pm.  If you are rounding to the nearest quarter hour, or 15 minutes, you time would need to be at the hour, 15 minutes after, 30 minutes after or 45 minutes after. Given those options, the closest times would be 8:45am and 5:15pm.

5 0
2 years ago
The area of a rectangular garden is given by the quadratic function: LaTeX: A\left(x\right)=-6x^2+105x-294A ( x ) = − 6 x 2 + 10
damaskus [11]

Answer:

Step-by-step explanation:

Domain= All real numbers. To get this answer i just plug the x-values into the quadratic formula to get the y-output.

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3 years ago
ANSWER FAST ITS URGENT
Vlad1618 [11]

Answer:

9) 6.3 units

11) n=6√2 and m=12,

10) m=6√3, n=6

12) 330.6 ft

Step-by-step explanation:

1) The Pythagoras Theorem says that, the square of the hypotenuse is the sum of the squares of the two shorter legs.

Let the missing side, which is the hypotenuse be x.

Then

{x}^{2}  =  {2}^{2}  +  {6}^{2}

{x}^{2}  = 4 + 36

{x}^{2}  = 40

x =  \sqrt{40}

x = 6.3

The missing side is 6.3 units to the nearest tenth.

2) This is an isosceles right triangle.

This implies that, the two legs are equal.

n = 6 \sqrt{2}

The hypotenuse can be found using Pythagoras Theorem.

{m}^{2}  =  {(6 \sqrt{2} )}^{2}  +  {(6 \sqrt{2} )}^{2}

{m}^{2}  = 36(4)

m =  \sqrt{36 \times 4}  = 6 \times 2 = 12

3) The side lengths of 30°-60°-90° are in the ratio, 2x,x√3,x

From the diagram, the hypotenuse is 12, therefore the other two legs are

n =  \frac{1}{2} (12) = 6

and

m = 6 \sqrt{3}

4) The height of the monument is 115 feet, the hypotenuse is 350.

By Pythagoras Theorem,

{x}^{2}  +  {115}^{2}  =  {350}^{2}

{x}^{2}  =  {350}^{2}   -  {115}^{2}

{x}^{2}  = 109275

x =  \sqrt{109275}  = 330.6 ft

3 0
3 years ago
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