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Elis [28]
2 years ago
15

The area of a square is tripled by adding 10 cm to one dimension and 12 cm to the other. Determine the side length of the square

.
Mathematics
1 answer:
Rina8888 [55]2 years ago
4 0
Area = length *width
A = x²
3x² = (x+10)(x+12)
3x² = x²+10x+12x+120
3x² = x²+22x+120
3x²-3x² = x²+22x+120-3x²
0 = -2x²+22x+120
Factor to solve for x: 
-2(x²-11x-60)
(x+4)(x-15)
x = -4  & x = 15 but we can't have a negative length so we eliminate 4. The length of the square is 15 cm.
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What can you say about the end behavior of the function f(x)=log10(5x-1)
natima [27]
The given function is
f(x) = log₁₀(5x-1)

As x -> -∞, the argument of the log function becomes a large negative number.
Because the log of a negative number is undefined, f(x) is undefined as x -> -∞.

As x -> +∞, the argument of the log function becomes a large positive number.
Therefore f(x) -> +∞ as x -> +∞.

Answer:
As x -> -∞, f(x) is undefined.
As x-> +∞, f(x) -> +∞.
6 0
2 years ago
Read 2 more answers
The cost of 8 kg of butter is $ 904. what will be the cost of 14 kg of butter
kvv77 [185]

Answer:

$1582

Step-by-step explanation:

cost of each kg 904/8=113

cost of 14 kg 113x14=1582

the cost of 14 kg of butter is $1582

6 0
2 years ago
Jordan spent a total of $14.85 on a trip to the zoo. She spent $6.50 to get into the zoo, $2.85 on snacks, and the rest on the b
puteri [66]

Answer:

To find your answer you would subtract $6.50 and $2.85 from $14.85

you would get $5.50 so that is how much she spent on a round trip ticket to the zoo.

7 0
2 years ago
Black and Decker Manufacturing sold a set of saws to True Value Hardware. The list price was $3800. Black and Decker offered a c
dangina [55]
Net price
=3,800×(1−0.08)×(1−0.03)×(1−0.01)
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3 0
2 years ago
ou have two parents, four grandparents, eight great-grandparents, and so forth. (a) If all your ancestors were distinct, what wo
Maslowich

Answer:

Part A:

2^{40}-2\\=1.0995*10^{12} ancestors

Part B:

Generations Age=25*39=975 years

Part C:

  1. Some ancestors on different branches of the family tree must be the same.
  2. There could not have been 39 generations in my line of ancestry.

Step-by-step explanation:

Given Data:

Two Parents, Four Grand Parents, Eight great Grand Parents.

Generation=39

Solution:

Part A:

From given data Following series is made:

2+2^2+2^3+.........+2^{39}

Now, Above series will become:

2[1+2+2^2+......+2^{38}]

From geometric Sequence:

2[\frac{2^{38+1}-1}{2-1} ]

2^{40}-2\\=1.0995*10^{12} ancestors

Part B:

Generations Age=years*Number of generations

Generations Age=25*39=975 years

Part C:

Number of people lived= 10^11

Ancestors=1.0995*10^{12} ancestors

10^{11}

It means ancestors are not distinct, it means:

  1. Some ancestors on different branches of the family tree must be the same.
  2. There could not have been 39 generations in my line of ancestry.
5 0
2 years ago
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