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REY [17]
3 years ago
14

Solve the nonlinear system of equations. State the number of solutions.

Mathematics
1 answer:
WITCHER [35]3 years ago
7 0

Answer:

Step-by-step explanation:

Hello,

Question 15

We can search x such that:

   x^2-4x+4=2x-5\\\\\text{*** subtract 2x-5 from both sides ***}\\ \\x^2-4x-2x+4+5=0\\ \\\text{*** simplify ***}\\ \\x^2-6x+9=0 \\ \\\text{*** we can notice a perfect square ***}\\ \\x^2 -2\cdot x \cdot 3 + 3^2=(x-3)^2=0\\\\\text{*** taking the root ***}\\\\x-3=0\\\\\large \boxed{\sf \ \ x=3 \ \ }

There is 1 solution.

Question 16

Again, we search x such that:

  x^2-8x+15=2x-6\\\\\text{*** subtract 2x-6 from both sides ***}\\\\x^2-8x-2x+15+6=0\\\\\text{*** simplify ***}\\\\x^2-10x+21=0 \\ \\\text{*** we are looking for two roots where the sum is 10 and the product is 21 = 7 x 3 ***} \\\\x^2-7x-3x+21=x(x-7)-3(x-7)=(x-3)(x-7)=0\\\\\large \boxed{\sf \ \ x= 3 \ or \ x =7 \ \ }There are two solutions.

 

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

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sergiy2304 [10]

Answer:

[see below]

Step-by-step explanation:

We can tell that for every hour passed the distance traveled by the train would increase by 40 miles.

We can use the equation d = 40t to determine the values of the table. The 'd' is total distance and 't' is the number of given hours.

Two hours:

d = 40(2)

d = 80

Three Hours:

d = 40(3)

d = 120

Four Hours:

d = 40(4)

d = 160

Hope this helps.

4 0
2 years ago
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A 16 ft monument consists of a rectangular prism and a square pyramid, as shown below. If the exposed surfaces of the monument a
icang [17]

Answer and Step-by-step explanation:

The actual answer is 348.

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Each triangle face is 18 each, so 72.

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3 years ago
Is the number 8 odd or even?
Veseljchak [2.6K]
Hello there!

The number 8 is an even number, since it can be divided evenly by the number of 2.


Hope this helps and have a great day! :)
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A bag contains 4 red marbles, 16 yellow marbles, 5 purple, 16 blue marbles, and 10 green marbles. What is the probability of pul
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red or green / total

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14 / 51

8 0
3 years ago
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3 0
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