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3 years ago

Write log(x^2-9)-log(x+3) as a single logarithm.

2 answers:

5 0

One way: log(A)-log(B) = log(A/B) right?

So, log( x^2-9/(x+3))

Now x^2-9 = (x+3)*(x-3), and x^2-9/(x+3) = x-3,

so log(x^2-9)-log(x+3) = log(x-3),

Indeed for all x but for x = -3, but probably no one asks you about that detail?

Tresset [83]3 years ago

5 0

Answer:

b edge

Step-by-step explanation:

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Miss Dave started a bank account with a balance of $30. There is an annual the quarterly is rate 7% How much would she have in t

RoseWind [281]

Answer: 120.19

Step-by-step explanation: Use the compound interest formula, A=P(1+r/n)^nt. Plug ig your numbers for the variables and solve as an algebra problem for A.

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4 years ago

What is the sum of the interior angles of the polygon shown below?

crimeas [40]

Answer: 360 degrees!

Step-by-step explanation: To find the sum of the interior angles, multiply the number of triangles by 180. C) The sum of the interior angles in any polygon can be found by multiplying the number of triangles formed by the diagonals from one vertex times 180 degrees in each triangle. Hope this helps, have a wonderful day! :D

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4 years ago

Read 2 more answers

Method B: Take the absolute value of the difference of the two numbers.

Verizon [17]

<u>Answer-</u>

The absolute value of the difference of the two numbers was found to be 7.

<u>Solution-</u>

The given two numbers are, 2 and -5.

Between these two number,

larger number = 2

smaller number = -5

(∵ As 2 is right of -5 on the number line)

$\left |larger\ number-smaller\ number \right|$

$=\left |2-(-5)\right |$

$=\left |2+5 \right|= 7$

$\left | smaller\ number -larger\ number \right|$

$=\left |(-5)-2 \right|$

$=\left |-5-2 \right|=\left |-7 \right|=7$

Therefore, it can be proved the order doesn't matter if we take the difference in absolute value.

3 0

4 years ago

Farmer Ben has only ducks and cows 24 in total. He can’t remember how many of each he

beks73 [17]

Ok so you have d ducks and c cows. We know d+c=24. Also, since ducks have 2 legs and cows have 4 legs, 2d+4c=66.

We now have a systems of equations to solve for a variable using elimination

2(d+c=24)
1(2d+4c=66)

2d+2c=24
2d+4c=66

-2c=-18
c=9

Now that we have the number of cows, we can easily find the number of ducks by plugging in 9 to the equation c+d=24

9+d=24
d=15

There are 9 cows and 15 ducks.

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3 years ago

Which of the following situations are equal to 90%? Select all that apply.

dsp73

It’s the letter c

40>36=4% 94%-4%=90

4 0

3 years ago