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ivolga24 [154]
3 years ago
7

Differentiate: f(x) = 3x ln(6x) − 3x

Mathematics
1 answer:
galben [10]3 years ago
5 0
Answer is in the attachment below. Please open it up in a new window to see it in full.

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What is f(x) = –4x2 + 24x + 13 written in vertex form? f(x) = –4(x – 6)2 + 23 f(x) = –4(x – 6)2 + 7 f(x) = –4(x – 3)2 + 4 f(x) =
nika2105 [10]
We have that
f(x) = –4x²<span> + 24x + 13
</span>
we know that

The vertex form for a parabola that opens up or down is:

f(x) = a(x - h)^2 + k

in the given equation, <span>a=-4</span><span>, therefore we add zero to the original equation in the form of </span><span>4h</span>²<span>−4h</span>²
f(x) = –4x² + 24x + 4h²−4h² +13
<span>Factor 4 out of the first 3 terms and group them 
</span>f(x) = –4*(x² -6x +h²) +4h² +13
<span>We can find the value of h by setting the middle term equal to -2hx
</span>−2hx=−6x
<span>h=3</span><span> and  </span><span>4h</span>²<span>=<span>36
</span></span>f(x) = –4*(x² -6x +9) +36 +13

we know that the term (x² -6x +9) is equals to------> (x-3)²
so
f(x) = –4*(x-3)² +49

the answer is
f(x) = –4*(x-3)² +49

 

4 0
3 years ago
Which expression is equivalent to 24 + 20​
Maslowich
24+20=44
4(6+5)=44
the first one
8 0
3 years ago
This is due in one hour
UNO [17]

Answer:

The answer to the first one is y = 4/7 x − 13 /7

The second one is already in standard form

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
2. Evaluate each function at the specific value
Oliga [24]
F(6) says “take f(x) = -4x + 11 and put 6 in for every x-value and then clean it up.”

f(6) = -4(6) + 11
     
      = -24 + 11

      = -13


f(x) = -1 says “set your function equal to -1 and solve for x”

    f(x) = -1

-4x+11 = -1

-4x = -12

        x = 3

So f(3) = -1.
8 0
3 years ago
Sharon manages the Spirit Supply store at Lakefield Middle School. She tracks the sale of various items in her inventory so that
Airida [17]
Here is a graph. I hope it helped :)

7 0
3 years ago
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