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3 years ago

Log4 216-log4 8 =log4 x

Mathematics

1 answer:

tekilochka [14]3 years ago

4 0

216/8= 27. X= 27. Subtract you divide

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What is the axis of symmetry and vertex for the function f(x) = 3(x – 2)2 + 4?

Gnesinka [82]

The axis of symmetry is 2 and the vertex is (2, 4).

8 0

3 years ago

Stan's, marks, and wayne's ages are consecutive whole numbers. stan is the youngest, and wayne is the oldest. the sum of their a

White raven [17]

Stan's, Mark's and Wayne's ages are 35 , 36 and 37 years respectively.

Explanation

Stan's, Mark's and Wayne's ages are consecutive whole numbers and Stan is the youngest and Wayne is the oldest.

So, lets assume that Stan's, Mark's and Wayne's ages are $n, n+1$ and $n+2$

Given that, the sum of their ages is 108. So, the equation will be.....

$n+(n+1)+(n+2)=108\\ \\ 3n+3=108\\ \\ 3n=108-3=105\\ \\ n=\frac{105}{3}=35$

So, Stan's age is 35 years , Mark's age is (35+1)= 36 years and Wayne's age is (35+2)= 37 years.

4 0

4 years ago

Consider this number in scientific notation. 3.75 × 108 Which is true about writing the number in standard form? Check all that

Deffense [45]

Answer:2,5

Step-by-step explanation:

8 0

3 years ago

Find the complete factorization of the expression. 12xy + 28xz A) 4yz(10x) B) 4yz(3x + 7x) C) 4x(3y + 7z) D) 4(3xy + 7yz)

VashaNatasha [74]

Answer:

The correct option is: C) 4x(3y + 7z)

Step-by-step explanation:

Given expression is: $12xy+28xz$

First we need to find the GCF(Greatest common factor) of $12xy$ and $28xz$ and then we will factor out that GCF.

$12xy \Rightarrow 2\times 2\times 3\times x\times y\\ \\ 28xz\Rightarrow 2\times 2\times 7\times x\times z$

We can see that the common factors are: $2,2, x$

So, the GCF will be: $2\times 2\times x= 4x$

Now factoring out $4x$ from the given expression, we will get.....

$12xy+28xz\\ \\ = 4x(\frac{12xy}{4x}+ \frac{28xz}{4x}) \\ \\ =4x(3y+7z)$

So, the complete factorization will be: $4x(3y+7z)$

7 0

3 years ago

Round your answer to the nearest hundreth.

katovenus [111]

Answer:

78.54 is the radius of a circle of 5 inches

Step-by-step explanation:

the formula of the area of a circle is

A = πr^2

When you multiply 5 times 5, you get 25. Then, multiply 25 by pi to recieve 78.54 rounded to the nearest hundredth.

4 0

3 years ago