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Alja [10]
3 years ago
11

Differentiate y= ln (6 – 3x)^4​

Mathematics
1 answer:
dsp733 years ago
3 0

Step-by-step explanation:

\frac{dy}{dx}  =  \frac{1}{ {(6 - 3x)}^{4} }  \times  {4(6 - 3x)}^{3} ( - 3) \\  =   \frac{ - 12 {(6 - 3x)}^{3} }{ {(6 - 3x)}^{4} }   \\  =  -  \frac{12}{6 - 3x}

I hope I'm correct. I've never learnt differentiation for log and exponents before

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What is the range for y=x^2-7x-8 ?
gtnhenbr [62]

Answer:

[-20.25;+∞).

Step-by-step explanation:

1) according to the properties of the given parabola the minimum is:

x_0=-\frac{-7}{2}=3.5; \ y_0=-20.25;

2) y₀=-20.25 means, the value -20.25 is minimum of the range, the maximum →+∞;

3) finally, the range y≥-20.25.

7 0
1 year ago
Eastside middle school ​has 1,500 students. Thirty-two percent of them are in sixth grade. How many sixth-grade students are the
hichkok12 [17]
480 six graders
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6 0
3 years ago
PLEASE HELP ME ASAP SOMEONE
Eduardwww [97]

Answer:

E (3,-1)   D (-2, -2)   G (-1, 3)    F (3, 2)

Step-by-step explanation:

90 degrees = (y, -x)

that means you take the ordered pair you want to rotate and plug the x and y into the new spots.  

for example, point E is at (1,3) so the point rotated 90 degrees is (3,-1)

8 0
2 years ago
WILLL GIVE BRAINLEST <br> WILL GUVE BRAINLEST<br> Photo is attached!! Thanks I appreciate if u help
sp2606 [1]

Answer:

1 false

2 true

3 true

4 false

5 true

Step-by-step explanation:

f(a) = (2a - 7 + a^2) and g(a) = (5 – a).

1 false f(a) is a second degree polynomial and g(a) is a first degree polynomial

When added together, they will be a second degree polynomial

2. true  When we add and subtract polynomials, we still get a polynomial, so it is closed under addition and subtraction

3.  true  f(a) + g(a) = (2a - 7 + a^2) + (5 – a)

Combining like terms = a^2 +a -2

4.  false   f(a) - g(a) = (2a - 7 + a^2) - (5 – a)

Distributing the minus sign (2a - 7 + a^2) - 5 + a

Combining like terms  a^2 +3a -12

5.  true  f(a)* g(a)  = (2a - 7 + a^2)  (5 – a).

Distribute

                      (2a - 7 + a^2)  (5)  – (2a - 7 + a^2)  (a)

                       10a -35a +5a^2 -2a^2 -7a +a^3

Combining like term

-a^3 + 3 a^2 + 17 a - 35

3 0
3 years ago
Sử dụng phép tính mệnh đề (các luật logic) để chứng minh các biểu thức sau là hằng
allsm [11]

Answer: “P hay Q” là một mệnh đề được

Step-by-step explanation: Các quy tắc tương đương logic: ... Chứng minh biểu thức mệnh đề (¬((r ∨ q) ∧ q) ∨. ¬p)∧ ((¬p

5 0
2 years ago
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