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2 years ago

11

Write the logarithmic expression as a single logarithm with coefficient , and simplify as much as possible. Assume that all vari

able expressions represent positive real numbers.
1/2ln(b^2+1)-1/2ln(b+1)

1 answer:

Allushta [10]2 years ago

4 0

Answer:

hope you can understand

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Which of the sequences is an arithmetic sequence?

Bogdan [553]

<h3>Answer: Choice A</h3>

This is because we're adding -6 to each term, i.e. subtracting 6 from each term, to get the next term

-2+(-6) = -8
-8+(-6) = -14
-14+(-6) = -20
-20+(-6) = -26

and so on. The gap between adjacent terms is the same width. We say that the common difference is d = -6.

5 0

3 years ago

I need help with this please. :)

jek_recluse [69]

9514 1404 393

Answer:

2x
2
128x +640

Step-by-step explanation:

1.

$\displaystyle\frac{8x^2-4x}{4x-2}=\frac{4x(2x-1)}{2(2x-1)}=\boxed{2x}$

__

2.

$\displaystyle\frac{8x-4}{x+3}-\frac{12x-20}{2x+6}=\frac{8x-4}{x+3}-\frac{4(3x-5)}{2(x+3)}=\frac{8x-4-2(3x-5)}{x+3}\\\\=\frac{8x-4-6x+10}{x+3}=\frac{2x+6}{x+3}=\frac{2(x+3)}{x+3}=\boxed{2}$

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3.

$\displaystyle\frac{(2x+10)^7}{(x+5)^6}=\frac{(2(x+5))^7}{(x+5)^6}=2^7(x+5)^{7-6}=128(x+5)\\\\=\boxed{128x+640}$

5 0

3 years ago

Benito made punch with 26 ounces of grape juice, 38 ounces of apple juice, and 52 ounces of lemon sparkling water. Then he made

natita [175]

26
38
+52
---------
116

Add all of the numbers because they are like-terms (because they are all ounces)

he made 8 ounce servings, so 116/8 = 14.5 there are 4 ounces left

6 0

3 years ago

2/3x - 21/4 = 27/4 x=

EleoNora [17]

Answer: x=-63/73

Step-by-step explanation:

Multiply both sides by 12, Move constant to the right hand side and change its sign, Move variable to the left hand side and change its sign, collect like terms, divide both sides of the equation by -73, x=-63/73 (- 63 over 73)

6 0

3 years ago

Read 2 more answers

The area of a triangle is 30 square centimeters and its base is 10 cm. What is the height in cm of the triangle

Vesnalui [34]

Answer:

The height of the triangle is $6$ cm.

Step-by-step explanation:

----------------------------------------

The formula for solving the area of a triangle is $A=\frac{1}{2}bh$ where $b$ stands for base and $h$ stands for height.

Let's substitute 30 $cm^2$ for the area and 10 for the base.

$30=\frac{1}{2} (10)h$

-------------------->>>>

Now, let's solve to find the height.

$30=\frac{1}{2}(10)h$

Multiply $\frac{1}{2}$ times $10$

$30=5h$

Divide both sides by 5.

$6=h$

-----------------------------------------

Hope this is helpful.

4 0

3 years ago