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3 years ago

Function inverse of f(x) = 3 log2x

1 answer:

6 0

f(x) = 3 log2x
y = 3 log2x

log2x =y/3

 $10^{ \frac{y}{3} } = 2x
\\ \\ x= \frac{1}{2}* 10^{ \frac{y}{3} }
\\ \\ y = \frac{1}{2}* 10^{ \frac{x}{3} } \ inverse \ function$

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Can anyone solve this for me

emmainna [20.7K]

Answer:

(-2, -4.5)

Step-by-step explanation:

We can solve this equation with substitution.

x=2y+7

3x-2y=3

We can "substitute" 2y+7 for x into the second equation:

3(2y+7)-2y=3

Distribute the 3

6y+21-2y=3

Add like terms

4y+21=3

Subtract 21 from both sides

4y=-18

Divide both sides by 4 to isolate y

y=-4.5

Plug -4.5 back in for y:

x=2(-4.5)+7

x=-9+7

x=-2

(x,y)=(-2,-4.5)

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3 years ago

What are the values of x and y? (Explain please it will help a lot,thanks)

Kitty [74]

X = 80
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If you look at only the left triangle, you can see that x is part of one of the angles. The 3 interior angles of the triangle add up to 180 degrees, so subtracting the other two angles, you get x + 30 = 110, or x = 80.

The same method can be used for the other triangle to find y.

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3 years ago

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A package of pasta says that the suggested serving size is 56 grams before it is cooked.how many milligrams is this?

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56000 milligrams is your answer

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3 years ago

PLEASE I NEED HELP, ILY ILL GIVE 30 POINTS

Novosadov [1.4K]

Answer:

Question 1:

The angles are presented here using Autocad desktop application

The two column proof is given as follows;

Statement ${}$ Reason

S1. Line m is parallel to line n ${}$ R1. Given

S2. ∠1 ≅ ∠2 ${}$ R2. Vertically opposite angles

S3. m∠1 ≅ m∠2 ${}$ R3. Definition of congruency

S4. ∠2 and ∠3 form a linear pear ${}$ R4. Definition of a linear pair

S5. ∠2 is supplementary to ∠3 ${}$ R5. Linear pair angles are supplementary

S6. m∠2 + m∠3 = 180° ${}$ Definition of supplementary angles

S7. m∠1 + m∠3 = 180° ${}$ Substitution Property of Equality

S8. ∠1 is supplementary to ∠3 ${}$ Definition of supplementary angles

Question 2:

(a) The property of a square that is also a property of a rectangle is that all the interior angles of both a square and a rectangle equal

(b) The property of a square that is not necessarily a property of all rectangles is that the sides of a square are all equal, while only the length of the opposite sides of a rectangle are equal

(d) A property of a rhombi that is not necessarily a property of all parallelogram is that the diagonals of a rhombi are perpendicular

(e) A property that applies to all parallelogram is that the opposite sides of all parallelogram are equal

Step-by-step explanation:

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3 years ago