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Nady [450]
3 years ago
13

Open study Write the equation of the function g(x) if g(x) = f(x – 2) +4 and f(x) = x3 + 2.

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
7 0
<span>g(x) = f(x – 2) +4
f(x) = x3 + 2.

hence
g(x) = [(x-2)^3+2]+4&#10;\\~\\~~~~~~~       = (x-2)^3 + 6</span><span />
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The number of frogs on the pond is Proportional to the number of salamanders placed in the pond. Suppose there are 10 Frog’s for
bonufazy [111]

Answer:

Y=10x

(multiply 10 times the salamanders)

Step-by-step explanation:

a formula that can be used for this circumstance is a linear y=mx+b problem. for 1 salamander there are 10 frogs. so with this we can state that y=10x. whatever you plug into the x for the number of salamanders will give you the answer of how many frogs are in the pond. for example.

Y=10x

Y=10(3)

Y=30

30 frogs.

also because 10 is a nice number you can just multiply the number of salamanders times 10. 3*10=30

4 0
3 years ago
Find the area of the region that lies inside the first curve and outside the second curve. r = 6 − 6 sin θ, r = 6
yan [13]
Each curve completes one loop over the interval 0\le t\le2\pi. Find the intersections of the curves within this interval.

6-6\sin\theta=6\implies 1-\sin\theta=1\implies \sin\theta=0\implies \theta=0,\theta=\pi

The region of interest has an area given by the double integral

\displaystyle\int_\pi^{2\pi}\int_6^{6-6\sin\theta}r\,\mathrm dr\,\mathrm d\theta

equivalent to the single integral

\displaystyle\frac12\int_\pi^{2\pi}\bigg((6-6\sin\theta)^2-6^2\bigg)\,\mathrm d\theta

which evaluates to 9\pi+72.

8 0
3 years ago
Angle J and angle M are base angles of an isosceles trapezoid JKLM. If angle J=20x+9 and angle M =14x+15, find angle K
anzhelika [568]
K or l will be 151 degrees.

j and m are equal to each other, giving you x=1, substitute this in to get j and m equal 29 degrees.  k or L are opposite angles meaning they add up to 180 when added to j and m so j+l=180 or m+k=180
5 0
3 years ago
Read 2 more answers
Explain how you can tell if the expressions 7x – 4 and 6x – 4 – x are equivalent.
Alina [70]

Hey there!

Combine Like Terms and see if the expressions are equivalent or not.

6x-4-x

6x-x-4

5x-4

Is 5x-4 equivalent to 7x-4? No.

Hope everything is clear.

Let me know if you have any questions!

Always remember: Knowledge is power!

8 0
2 years ago
Please answer the question that is in the picture
serg [7]
Work shown above! Answer is 135°

5 0
3 years ago
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