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madam [21]
3 years ago
5

Domain of the function

Mathematics
1 answer:
Umnica [9.8K]3 years ago
6 0
F(x) = ln (6-x); find the domain.

The domain of the "ln" function is (0, infinity), or "x is greater than zero."

Thus, the domain of the given function is  "(6-x) is greater than zero."

Solve this:  6-x > 0.  Add x to both sides.  Then 6 > x, or x < 6 (answer)
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Which angle is supplementary to DBE?<br><br><br> A. DBC<br> B. DBA<br> C. EBH<br> D. BGH
Degger [83]
It is B because angle DBA is supplementary to angle DBE because together they create a straight line which equals 180 degrees.
4 0
2 years ago
Identify the corresponding word problem given the equation: x = 10.20 × 9
Inga [223]
10.20 x 9 = 91.8

( It's William and nine/eight friends, since they're dividing it among ALL people we count William in. )

A: William and nine friends <span>divided the bill evenly. If each person paid $10.20, what was the total bill? 
</span>
10.20 x 10 = 102

B: <span>At a restaurant, William and eight friends divided the bill evenly. If each person paid $10.20, what was the total bill? 

10.20 x 9 = 91.8

C: </span><span>At a restaurant, William and nine friends divided the bill evenly. If the total bill was $91.80, what did each person pay? 

91.80 x 10 = 918

D: </span><span>At a restaurant, William and eight friends divided the bill evenly. If the total bill was $91.80, what did each person pay? 

</span>91.80 x 9 = 826.2

So, your answer is B
3 0
3 years ago
Read 2 more answers
How many 0.4 L glasses can be filled from<br> a 4.75 L jug of juice?
nata0808 [166]

Answer:

11

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Peter mixes 4 1/2 cups of orange juice, 2 1/4 of ginger ale and 6 1/3 cups of strawberry lemonade to make some punch. What is th
ruslelena [56]
To add these amounts together, we must first find their least common multiple in order to get common denominators (b/c when you add fractions, the denominators must be the same).

We'll start by listing some of their multiples.
To do this, count by whatever the denominator is:
4 1/2 (denominator is 2): 2 4 6 8 10 12 14
2 1/4 (denominator is 4): 4 8 12 16
6 1/3 (denominator is 3): 3 6 9 12 15

Look and see which is the first multiple that all three denominators have. Circle them if it helps you. In this case, it's 12.

So now we have to multiply the denominators by whatever number it takes to reach 12, and multiply by the same number to the numerator:

4 1/2 (times 6 to both top and bottom) =
4 6/12

2 1/4 (times 3) = 2 3/12

6 1/3 (times 4) = 6 4/12

Add all these fractions together, and you get 12 13/12, which is equal to 13 1/12.

Thus, Peter makes a total of 13 1/2 cups.

Hope this made sense! tell me if anything is confusing/incorrect :))
8 0
3 years ago
Cynthia Bech want to buy a rug for a room that i 20 ft wide and ft long. She want to leave a uniform trip of 29 floor around the
Hoochie [10]

On solving the question, we got that - The dimensions of the rug should be 18 feet and 24 feet

<h3>What is area of rectangle?</h3>

By multiplying the rectangle's length by its breadth, we may get its area.

Equiangular quadrilaterals, like rectangles, are known in this way. This is so because a rectangle is a four-sided quadrilateral shape with parallel sides that are equal to one another and four corners with 90o angles. Rectangles are sometimes known as equiangular quadrilaterals since all of its angles are 90 degrees.

the parameters provided;

The room is 20 feet by 26 feet in size.

432 feet2 is the largest area rug she can afford.

If the floor will be a uniform stripe around the rug, then each dimension should have its uniform extra length of floor =  (y).

Area = Length X Width\\432 = ((20=y) X (26-y)\\432 = 520 - 20y - 26y + y^2\\y^2 - 46y+88=0\\

here, a= 1, b= -46, c =88

y = \frac{-b +/- \sqrt{b^2 - 4ac} }{2a} \\\\

y = \frac{-(-46) +/- \sqrt{(-46)^2 - 4X1X88} } {2} \\\\y = 44 \\or\\ y =  2

Therefore, Length = 20-2 = 18 ft

and width = 26-2 = 24ft

To know more about rectangle visit:

brainly.com/question/15019502

#SPJ4

8 0
1 year ago
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