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ANTONII [103]
3 years ago
5

What type of numbers represent parts of a whole?fractionsintegersdecimals

Mathematics
1 answer:
tia_tia [17]3 years ago
8 0
The answer is fraction represents parts of a whole
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What is the equation of the translated function, g(x), if f(x) = x2? g(x) = (x + 5)2 + 2 g(x) = (x + 2)2 + 5 g(x) = (x – 2)2 + 5
ivann1987 [24]
Given the graph of the function f(x) which is described by a parabola with the vertex at (0, 0) and the graph of the translated function g(x) which is described by a parabola with the vertex at (5, 2).

Notice, that the vertex of the translated function is 5 units to the right and 2 units up of the graph of f(x).

Thus, g(x) is obtained by translating the function f(x) 5 units to the right and 2 units up.

Recall that given a function described by a parabola with vertex at (h, k) as
f(x)=(x-h)^2+k

A translation of a units to the right and b units up will result in
f'(x)=(x-h-a)^2+k+b

Therefore, the equation of the translated function, g(x) is given by
g(x)=(x-5)^2+2
9 0
3 years ago
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Find the equation of the tangent line to the curve y=x^5 at x=2. Give the equation of the tangent line.
spin [16.1K]

Answer:

(a)

The equation of the given curve is  y=x2−2x+7.

On differentiating with respect to x, we get: 

dxdy=2x−2

The equation of the line is 2x−y+9=0.⇒y=2x+9

This is of the form y=mx+c.

Slope of the line =2

If a tangent is parallel to the line 2x−y+9=0, then the slope of the tangent is equal to the slope of the line.

Therefore, we have: 2=2x−2

⇒2x=4⇒x=2

Now, at x=2

⇒y=22−2×2+7=7

Thus, the equation of the tangent passing through (2,7) is given by, 

y−7=2(x−2)

⇒y−2x−3=0

Hence, the equation of the tangent line to the given curve (which is parallel to line (2x−y+9=0) is y−2x−3=0.

(b)

The equation of the line is 5y−15x=13.

Slope of the line =3

If a tangent is perpendicular to the line 5y−15x=13, 

then the slope of the tangent is Slope of the line−1=3−1.

⇒dxdy=2x−2=3−1

8 0
3 years ago
HELP ME PLEASE I AM LITERALLY SO STRESSED OUT RN JUST PLEASE HELP MEEEEE
Anna [14]
The answer would be 2/3
5 0
3 years ago
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Please help solve what the picture says and explain. Thanks!
pochemuha
Guess this is how it should look like, not sure what the instructions on drawing an x through the segments mean, but hope this helps!

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3 years ago
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School starts in 45 minutes and you live 17 miles from school. What average speed (in miles per hour) do you need to travel in o
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