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dsp73
4 years ago
11

Attached is the problem, and possible answers, please solve and check

Mathematics
1 answer:
Kaylis [27]4 years ago
8 0

Answer:

Option B

Step-by-step explanation:

Using the law of logarithms

n log x= log x^{n}

Therefore, since all the logs are to the same base, I will assume the base.

Also, when the bases are the same

log y+ log x= log (x+y)

\frac {1}{2}(log 4+ log 16)=log 4^{0.5}+log 16^{0.5}=log 2+log 4=log 6

Now log 6-log 2= log (6-2)= log 4

Therefore, option B is correct

You might be interested in
What is the vertex form of y=x^2-6x+6
andrezito [222]

Answer:

y = (x - 3)² - 3

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square

add/subtract (half the coefficient of the x- term )² to x² - 6x

Given

y = x² - 6x + 6

  = x² + 2(- 3)x + 9 - 9 + 6

  = (x - 3)² - 3 ← in vertex form

3 0
3 years ago
Read 2 more answers
Diane walks 5,000 steps each day for exercise. Over the next year, her goal is to increase the number of steps she walks each da
tekilochka [14]

Answer:

d

Step-by-step explanation:

f(x) is the number of steps, and x is the number of days.

8 0
2 years ago
Ng Order of Operations George has $15. He would like to know if he has enough money to see a movie ($9.00) and buy a pretzel ($2
UNO [17]

Answer:

No, George does not have enough money to buy everything.

The correct expression is:

15 - 9 - 2.65 - 1.35 - 2(1.74)

Step-by-step explanation:

Given that:

Money present with George initially = $15

Money required to see the movie = $9

Money required to buy a pretzel = $2.65

Money required to buy a drink = $1.35

Money required to buy 2 veggie cups = $2(1.74)

To find:

Whether there is enough money with George to complete all the tasks.

Solution:

First of all, let us calculate all the money required and then we can subtract all the money from the initial amount to find whether there is enough money present with George.

If the result is in positive, there is enough money with George.

Total money required for all the activities = $9 + $2.65 + $1.35 + $2(1.74) = $16.48

Expression = $15 - $16.48 = -$1.48

The result is negative, therefore there is not enough money.

The correct expression is:

15 - 9 - 2.65 - 1.35 - 2(1.74)

5 0
3 years ago
Show work
adelina 88 [10]

Answer:

  1. n = 5
  2. m = 12
  3. m= -14
  4. y =30

Step-by-step explanation:

1.

n -8 =-3\\\\Collect\:like\:terms\\n = -3+8\\\\Simplify ; -3+8 = 5\\\\n =5

2.

-2m=-24\\\\Divide\: both \:sides\:of\:the\:equation\:by\:-2\\\\\frac{-2m}{-2} = \frac{-24}{-2} \\\\Simplify ; -2m/-2 = m , -24/-2 = 12\\\\m =12

3.

\frac{m}{2}=-7\\\\Cross\:Multiply\\\\m\times 1 = 2\times -7\\\\m = -14

4.

\frac{2}{3}y=20\\ \\\frac{2}{3} y = \frac{20}{1} \\\\Cross\:Multiply\\\\2y\times 1 = 3\times 20\\\\2y = 20\\\\\mathrm{Divide\:both\:sides\:by\:}2\\\frac{2y}{2}=\frac{60}{2}\\\\Simplify\\y = 30

3 0
4 years ago
If d = 2, e = -3, f = 6, and g = 12, what is the value of (d + g) - (e + f) ?
natali 33 [55]

Answer:

.....................................

8 0
3 years ago
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