Mathematics, 20.09.2019 14:20 Animlolie

What is the simplified base of the function f(x) = 1/4 3/108x?
a. 3
b. 33/4
c. 6*3/3
d. 27

Answers: 2

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Answers

Answer from: michellemonroe012305

The Answer is B. 3 x 3/4

Answer from: DD8156

The Option A. 3 is correct.

Step-by-step explanation:

The function is given to be :

$f(x)=\frac{1}{4}(\sqrt[3]{108} )^x$

Now, we need to simplify the above function in order to obtain the base simplified form of the given function f(x)

$\implies f(x)=\frac{1}{4}\cdot (108)^{\frac{x}{3}}\\\\\implies f(x)=(27)^\frac{x}{3}\\\\\implies f(x)=(3^3)^\frac{x}{3}\\\\\implies f(x)=(3)^{3\times \frac{x}{3}}\\\\\implies f(x)=3^x$

Hence, the base simplified form of the given function f(x) is 3

Therefore, The Option A. 3 is correct.

Answer from: Quest

segment bisector

step-by-step explanation:

line segment bisector. definition: a line, ray or segment which cuts another line segment into two equal parts. try this drag one of the orange dots at a or b and note the the line ab always divides the line pq into two equal parts.

mark brainliest!

Answer from: Quest

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.

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