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Katarina [22]
2 years ago
12

What is the domain of the function Y = 3 In * graphed below?

Mathematics
2 answers:
lisov135 [29]2 years ago
8 0

Answer:

(0, infinity)

Step-by-step explanation:

Keep in mind that the input to the ln function can never be 0 or below.  The coefficient 3 has no effect on the domain.  The domain of the function shown is (0, infinity).

Colt1911 [192]2 years ago
6 0

Answer:

x>0

Step-by-step explanation:

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The cost of item A is $8 and the
yKpoI14uk [10]

Answer: the number of item A that you sold is 11

the number of item B that you sold is 2

Step-by-step explanation:

Let x represent the number of item A that you sold.

Let y represent the number of item B that you sold.

The total number of item A and item B sold is 13. This means that

x + y = 13

The cost of item A is $8 and the

cost of item B is $4. The total amount if money made is $88. This means that

8x + 4y = 88 - - - - - - - - - -1

Substituting x = 13 - y into equation 1, it becomes

8(13 - y) + 4y = 88

104 - 8y = 88

8y = 104 - 88 = 16

y = 16/8 = 2

x = 13 - y = 13 - 2 = 11

7 0
2 years ago
Read 2 more answers
The square of a number plus three times the number is 70. find the numbers.
Harrizon [31]

Answer:

Step-by-step explanation:

The equation for that is

x^2+3x=70

If we subtract over the 70, we have a quadratic that we can factor to solve for the values of x that will make that equation true.

x^2+3x-70=0

Now we need the factors of 70 that will either add or subtract to give us the linear term of 3. The factors of 70 that will work are 10 and 7. 10 times 7 is 70, and 10 - 7 = 3:

x^2+10x-7x-70=0 and now we will factor by grouping:

(x^2+10x)-(7x-70)=0 and factor out what's common:

x(x+10)-7(x+10)=0

The factor (x + 10) is common, so we will now factor that out:

(x+10)(x-7)=0

By the Zero Product Property, either x + 10 = 0 or x - 7 = 0, so x = -10 or 7

Those are the 2 numbers that will work.

(-10)^2+3(-10)=70 simplifies to

100 - 30 which does in fact equal 70. OR

(7)^2+3(7)=70 which simplifies to

49 + 21 which also equals 70.

So you're done!

3 0
2 years ago
Bob's gift shop sold a record number of cards for Mother's Day. One salesman sold 24 cards, which was 20% of the cards sold for
blagie [28]

Answer:24 cards - 20%= 19.2

Step-by-step explanation:

6 0
3 years ago
Simplify 3 - b (7b + 2) + 3b - (11 - b)​
nirvana33 [79]

Answer: -7b² + 2b - 8

Step-by-step explanation:

<u>Given expression</u>

3 - b (7b + 2) + 3b - (11 - b)

<u>Expand parentheses and apply the distributive property if necessary</u>

=3 - b · 7b - b · 2 + 3b - 11 + b

=3 - 7b² - 2b + 3b - 11 + b

<u>Combine like terms</u>

=-7b² + (3b - 2b + b) + (3 - 11)

=\boxed{-7b^2+2b-8}

Hope this helps!! :)

Please let me know if you have any questions

8 0
3 years ago
Find
Westkost [7]

Answer:

dy/dx = -b/a cot α

Step-by-step explanation:

x² / a² + y² / b² = 1

Take derivative with respect to x.

2x / a² + 2y / b² dy/dx = 0

2y / b² dy/dx = -2x / a²

dy/dx = -b²x / (a²y)

Substitute:

dy/dx = -b²a cos α / (a²b sin α)

dy/dx = -b cos α / (a sin α)

dy/dx = -b/a cot α

8 0
3 years ago
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