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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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Use substitution to solve the following system of equations.<br> y=3x +8<br> 5x+ 2y = 5
Shkiper50 [21]

Answer:

5x+2(3x+8)

5x+6x+16

11x+16

11x=-16

X=16/11

6 0
3 years ago
What describes the reflection of the figure?
Elodia [21]
Reflection over y axis
6 0
3 years ago
Write an exponential model given the points ( 7, 12 ) and ( 8, 25 ). Round to the nearest hundredth.
inna [77]

Answer:

The exponential model is y = 0.07\cdot e^{0.73\cdot x}.

Step-by-step explanation:

The exponential model can be modelled by the following mathematical expression:

y = A\cdot e^{B\cdot x} (1)

Where:

x - Independent variable.

y - Dependent variable.

A, B - Coefficients.

If we know that (x_{1}, y_{1}) = (7,12) and (x_{2}, y_{2}) = (8,25), then we get the following system of equations:

A\cdot e^{7\cdot B} = 12 (2)

A\cdot e^{8\cdot B} = 25 (3)

If we divide (3) by (2), we calculate the value of B:

e^{B}=\frac{25}{12}

B = \ln \frac{25}{12}

B \approx 0.734

And by (2), we determine the value of A:

A = 12\cdot e^{-7\cdot B}

A = 0.0704

The exponential model is y = 0.07\cdot e^{0.73\cdot x}.

4 0
2 years ago
A(n)=-6-4(n-1)<br> Find the 4th term in the sequence
Soloha48 [4]
All we have to do is replace n with 4.
-6-4(4-1)
Parenthesis first.
-6-4×3
Multiplication next.
-6-12
Now subtract.
-18
The 4th term is -18.
Tell me if this helps!!
8 0
3 years ago
Read 2 more answers
2. The following triangle, ∆, has angle measures as shown.
klio [65]

Answer:

x=29. Angle C= 93

Step-by-step explanation:

3(x+2)= 3x+6.

3x+6+52+35= 3x+93.

180-93=87.

87/3= 29. So that means x=29.

for proof you can do 3(29)+93 and you'll get 180.

For angle C; 3(29+2)= 3x31. 31x3= 93.  

Angle C= 93 degrees.

6 0
3 years ago
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