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3 years ago

What the inverse of f(x)=4x²

1 answer:

6 0

$f(x)=4x^2\to y=4x^2\\\\\text{Interchange the y and the x}\\\\x=4y^2\\\\\text{Solve for y}\\\\4y^2=x\qquad|:4\\\\y^2=\dfrac{x}{4}\to y=\sqrt{\dfrac{x}{4}}\\\\y=\dfrac{\sqrt{x}}{\sqrt4}\\\\y=\dfrac{\sqrt{x}}{2}\\\\Answer:\ \boxed{f^{-1}(x)=\dfrac{\sqrt{x}}{2}}\ for\ x\geq0$

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Four baskets contain 1, 4, 6, and 9 apples respectively. At least how many apples should be moved between the baskets to have th

creativ13 [48]

Answer:

Mmmm tricky but I'll try..

take away 4 apples from the basket with 9 and place it in the one with 1 apple

then take away one apple from the one with 6 and place it in the basket with 4

And now you have 5 apples in each basket

Happy now?

4 0

3 years ago

Which pair shows equivalent expressions?

Dmitry_Shevchenko [17]

Which pair shows equivalent expressions?

A.2(2/5x + 2)=2 2/5x + 1

B.2(2/5x + 2)=4/5x + 4

C.2(2/5x + 4)=4/5x + 2

D.2(2/5x + 4)=2 2/5x + 8

Solution:

$2(\frac{2}{5}x + 2)$

Let us distribute 2 inside the parenthesis.

That is, we use distributive property:

a(b+c)=ab+ac

$2(\frac{2}{5}x + 2) =\frac{2*2}{5}x+2*2$

So, $2(\frac{2}{5}x + 2) =\frac{4}{5}x+4$

Answer:Option (b)

$2(\frac{2}{5}x+4)$

Applying distributive property, a(b+c)=ab+ac

$2(\frac{2}{5}x+4) =2*\frac{2}{5} x+2*4$

$2(\frac{2}{5}x+4) =\frac{2*2}{5} x+2*4$

$2(\frac{2}{5}x+4) =\frac{4}{5} x+8$

So, Option (B) is correct.

8 0

3 years ago

Read 2 more answers

Convert 12 7/12 to a common number

o-na [289]

As a decimal it is 0.58

8 0

3 years ago

Read 2 more answers

What is the angles mSRW?

Scilla [17]

Answer:

126°

Step-by-step explanation:

(2x +18)° = (3x)°

2x + 18 = 3x

18 = 3x - 2x

18 = x

therefore, (3x)° = (3*18)°= (54)°

$m\angle SRW + (3x)\degree = 180\degree \\m\angle SRW + 54\degree = 180\degree \\m\angle SRW = 180\degree - 54\degree \\\huge\red{\boxed{m\angle SRW = 126\degree}}$

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3 years ago

where would an imaginary line need to be drawn to reflect across an axis of symmetry so that a regular pentagon can carry onto i

irina [24]

Answer:

An imaginary line would need to be drawn at any angle to the center of the side opposite the angle to reflect across an axis of symmetry so that a regular pentagon can carry onto itself. Hope this answer helps.

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3 years ago