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aev [14]
3 years ago
13

Simplify:

=" 2log\sqrt{x} +3logx^{1/3} " alt=" 2log\sqrt{x} +3logx^{1/3} " align="absmiddle" class="latex-formula">
Mathematics
1 answer:
lana66690 [7]3 years ago
7 0
2\log\sqrt x+3\log x^{\tfrac{1}{3}}=\\
\log(\sqrt x)^2+\log \left(x^{\tfrac{1}{3}}\right)^3=\\
\log x+\log x=\\
2\log x
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Complete the square please.
Aleks04 [339]

Answer:

(x-3)^2 + (y+2)^2 = 9^2

Step-by-step explanation:

x^2 -6x+y^2+4y-68 = 0

Complete the square

x^2 -6x+y^2+4y-68+68 = 0+68

x^2 -6x+y^2+4y = 68

Find the term to add for x

-6 /2 = -3  -3^2 = 9

Find the term to add for y

4/2 =2  2^2 = 4

Add 9 and 4

x^2 -6x+9+y^2+4y+4 = 68+9+4

(x-3)^2 + (y+2)^2 = 81

(x-3)^2 + (y+2)^2 = 9^2

The standard form is

(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius

3 0
3 years ago
Lisa's mom is making cookies to sell at the bake sale. She spent 12 minutes mixing the cookie batter. It took 18 minutes to bake
Llana [10]

Answer:

38 min

Step-by-step explanation:

cuz 12+8+18= 38

pls mark brainliest

8 0
3 years ago
Suppose that 40 deer are introduced in a protected wilderness area. The population of the herd
Scorpion4ik [409]

The horizontal asymptote of the function is the minimum number of deer in the area.

  • The equation of horizontal asymptote is: \mathbf{y = 40}
  • The horizontal asymptote means that, the number of deer will never be less than 40

The equation is given as:

\mathbf{f(x) = \frac{40 + 2x}{1 + 0.05x}}

Expand the numerator

\mathbf{f(x) = \frac{40(1 + 0.05x)}{1 + 0.05x}}

Cancel out the common factor

\mathbf{f(x) = 40}

Hence, the equation of horizontal asymptote is:

\mathbf{y = 40}

The horizontal asymptote means that, the number of deer will never be less than 40

Read more about horizontal asymptotes at:

brainly.com/question/4084552

8 0
3 years ago
Ryan runs 3 miles in 28 minutes. at the same rate, how many miles would he run in 42 minutes?
Sphinxa [80]
If 3mile=28 min
x mile=42 min
cross multiply
x=3/28
therefore if 3/28=1 min
then x mile= 42 min
cross multiply
42 x 3/28 =21 x 3/14
                =3 x 3/1
                =9
The answer is 9 miles
5 0
3 years ago
(A) Write an expression that represents Sarah’s total pay last week. Represent her hourly wage with (w)?
garri49 [273]

Answer:

Step-by-step explanation:

7 0
3 years ago
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