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Sergeu [11.5K]
3 years ago
14

Help please, I'm having so much trouble! It's quite easy!

Mathematics
1 answer:
amm18123 years ago
3 0
This would be your answer

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Find the derivative of the inverse function of the original function f(x)=(x+1)^3-5
____ [38]

Answer:

Step-by-step explanation:

let f(x)=y

y=(x+1)^{3} -5\\flip ~x~and~y\\x=(y+1)^{3}-5\\(y+1)^{3}=x+5\\y=(x+5)^{\frac{1}{3} } -1\\or~f^{-1}(x)=(x+5)^{\frac{1}{3} } -1\\(f^{-1})'(x)=\frac{1}{3} (x+5)^{\frac{-2}{3} }

4 0
3 years ago
Which statement is true about this argument? Premises: If a triangle has an angle that measures 150°, then it is an obtuse trian
vfiekz [6]
What is JkL

Because i need to know.Btw sorry for using p the answer board <span />
7 0
3 years ago
Carbon-14 has a half-life of 5730 years. In a plant fossil, you find that the 14C has decayed to 1/8.00 of the original amount.
drek231 [11]
Note that 8.00 = (2.00)^3, that implies that a decay to 1/8.00 means that the Carbon-14 has passed 3 half-life. (1 to decay to 1/2, other to decay to 1/4, and other to decay to 1/8). And, three half-life is 3 * 5730 years = 17,920 years. So,<span> the answer is that the plant was alive 17,920 years.</span>
7 0
3 years ago
What is the equation of a line that passes through point R(3,7) and has a slope of 6?
djyliett [7]
The answer in slope intercept form is y = 6x-11

If you want the answer in standard form, then it would be 6x-y =11

notes:
* Slope intercept form is y = mx+b
* Standard form is Ax+By = C
=====================================

Explanation:

The given slope is m = 6
The line goes through (x,y) = (3,7)

Plug those three values into the equation below. Isolate b
y = mx+b
7 = 6*3+b
7 = 18+b
7-18 = 18+b-18 ... subtract 18 from both sides
-11 = b
b = -11

So because m = 6 and b = -11, this means y = mx+b turns into y = 6x-11

The answer in slope intercept form is y = 6x-11

To convert to standard form Ax+By = C, we just have to get all the x and y terms together on the same side. I'm going to move the y term to the right side and move the 11 to the left side

y = 6x-11
y+11 = 6x-11+11
y+11 = 6x
y+11-y = 6x-y
11 = 6x-y
6x-y = 11

The answer in standard form is 
6x-y = 11
which is a different way to write the same line

4 0
3 years ago
For the right triangle shown, the lengths of two sides are given. Find the third side. Leave your answer in simplified, radical
mash [69]

Answer:

c=4√2

Step-by-step explanation:

Sine the triangle is a right triangle you can use the Pythagorean theorem. a^2+b^2=c^2

(4)^2+(4)^2=c^2

16+16=c^2

32=c^2

c=√32

c=4√2

6 0
3 years ago
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