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3 years ago

Which facts are true about f(x)=log8^x?

Mathematics

1 answer:

Veseljchak [2.6K]3 years ago

6 0

F(x) = log8^x = xlog8 - it's a linear function

TRUE
A. It is Increasing because a = log8 > 0

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29. Find CD.<br> 30. Find ZV.

Tems11 [23]

Answer:

for cd it's 12 I believe fs

8 0

2 years ago

Eight times the sum of a number and 4 equals 3

BigorU [14]

The algebraic expression is: $8(x+4)=3$

And Value of x is: $x=\frac{-21}{8}$

Step-by-step explanation:

We need to write the expression of the statement:

Eight times the sum of a number and 4 equals 3

Let the number = x

The expression will be:

$8(x+4)=3$

Solving the expression to find value of x:

$8(x+4)=3\\8x+24=3\\Adding\,\,-24\,\,on\,\,both\,\,sides:\\8x+24-24=3-24\\8x=-21\\x=\frac{-21}{8}$

So, The algebraic expression is: $8(x+4)=3$

And Value of x is: $x=\frac{-21}{8}$

Keywords: Algebraic Expression

Learn more about Algebraic Expression at:

#learnwithBrainly

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3 years ago

A rope of length 18 feet is arranged in the shape of a sector of a circle with central angle O radians, as shown in the

creativ13 [48]

Answer:

$A(\theta)=\frac{162 \theta}{(\theta+2)^2}$

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Let

r ---> the radius of the sector

s ---> the arc length of sector

Find the radius r

we know that

$2r+s=18$

$s=r \theta$

$2r+r \theta=18$

solve for r

$r=\frac{18}{2+\theta}$

step 2

Find the value of s

$s=r \theta$

substitute the value of r

$s=\frac{18}{2+\theta}\theta$

step 3

we know that

The area of complete circle is equal to

$A=\pi r^{2}$

The complete circle subtends a central angle of 2π radians

using proportion find the area of the sector by a central angle of angle theta

Let

A ---> the area of sector with central angle theta

$\frac{\pi r^{2} }{2\pi}=\frac{A}{\theta} \\\\A=\frac{r^2\theta}{2}$

substitute the value of r

$A=\frac{(\frac{18}{2+\theta})^2\theta}{2}$

$A=\frac{162 \theta}{(\theta+2)^2}$

Convert to function notation

$A(\theta)=\frac{162 \theta}{(\theta+2)^2}$

6 0

3 years ago

Write a proportion for each of the diagrams below and solve for the missing value.

Sphinxa [80]

Answer:

y=6

Step-by-step explanation:

$\frac{4}{8} =\frac{3}{y}$

$4y=24$

$y=6$

6 0

2 years ago

Translate the following sentence into equations <br> •Three less than "x" is equal to 13

Vikentia [17]

3 less then x.......x - 3
is equal to 13...= 13

x - 3 = 13 <==

3 0

3 years ago