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Alexandra [31]
3 years ago
15

2x + y = -8 3x - 5y = -25

Mathematics
1 answer:
Margarita [4]3 years ago
6 0

Answer:

x=-5, y=2. (-5, 2).

Step-by-step explanation:

2x+y=-8

3x-5y=-25

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

5(2x+y)=5(-8)

3x-5y=-25

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

10x+5y=-40

3x-5y=-25

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

13x=-65

x=-65/13

x=-5

2(-5)+y=-8

-10+y=-8

y=-8-(-10)=-8+10=2

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The statements that describe a triangular prism are:

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<h3>What is a triangular prism?
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A triangular prism is a three-dimensional object that is made up of one base that has the shape of a triangle and three lateral sides that have the shape of a rectangle. A triangular prism has 5 faces, 9 edges and 6 vertices.

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eimsori [14]
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4 0
2 years ago
Help me... I did it again! I skipped the practice and study guides
Katyanochek1 [597]

Answer:

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Step-by-step explanation:

Hope this helps!

4 0
2 years ago
A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has i
goldfiish [28.3K]

Answer:

  • P(t) = 100·2.3^t
  • 529 after 2 hours
  • 441 per hour, rate of growth at 2 hours
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Step-by-step explanation:

It often works well to write an exponential expression as ...

   value = (initial value)×(growth factor)^(t/(growth period))

(a) Here, the growth factor for the bacteria is given as 230/100 = 2.3 in a period of 1 hour. The initial number is 100, so we can write the pupulation function as ...

  P(t) = 100·2.3^t

__

(b) P(2) = 100·2.3^2 = 529 . . . number after 2 hours

__

(c) P'(t) = ln(2.3)P(t) ≈ 83.2909·2.3^t

  P'(2) = 83.2909·2.3^2 ≈ 441 . . . bacteria per hour

__

(d) We want to find t such that ...

  P(t) = 10000

  100·2.3^t = 10000 . . . substitute for P(t)

  2.3^t = 100 . . . . . . . . divide by 100

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  t = 2/log(2.3) ≈ 5.5 . . . hours until the population reaches 10,000

6 0
3 years ago
The number of unread emails in Bryan’s account is 100. This number grows by 15 unread emails a day. The function N(t)=100+15t re
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Answer:

205

Step-by-step explanation:

Given

N(t) = 100 + 15t is the equation of the relation.

We're asked to find N(7)

Taking a look at the question again and putting it side by side the equation

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We can deduce that t = 7, and as such, solve for it in the equation given

N(7) = 100 + 15(7)

N(7) = 100 + 105

N(7) = 205

Therefore, the number of unread mails after 7 days will be 205

8 0
2 years ago
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