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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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Butter comes four sticks to a pack. how many sticks of butter are in eight packs?
miskamm [114]
32 sticks in 8 packs. 8x4.
7 0
2 years ago
Read 2 more answers
Can somebody help me please
serious [3.7K]

Answer:

-7 and 21

Step-by-step explanation:

y-2y=7 (sub x=7 to the equation)

-y=7

y=-7 (not sure of its correct)

if y=-7,

x-2(-7)=7 (sub y=-7 into equation)

x-14=7

X=7+14

X=21

8 0
3 years ago
the perimeter of a rectangular field is 374 yards. if the width of the field is 88 yards, what is its length
aksik [14]

Answer:

99 yards

Step-by-step explanation:

374 - 88 = 286

286 - 88 = 198

198/2 = 99

length = 99

3 0
3 years ago
The table below compares the cost of living in New York and Los Angles, with the number representing percentages of national ave
frosja888 [35]

Answer:

The correct option for the answer is C.) $3.29 / $2.96

Step-by-step explanation:

i) national average for a gallon of gas = $2.74

ii) for transportation New York is 1.2 times the National average

   therefore one gallon of gas in New York will cost = 1.2  $2.74 = $3.29

iii)for transportation Los Angeles is 1.08 times the National average

   therefore one gallon of gas in New York will cost = 1.08  $2.74 = $2.96

Therefore you should expect to pay for gas in New York versus Los Angeles C.) $3.29 / $2.96

4 0
3 years ago
A train leaves zurich at 2240 and arrives in vienna at 07 32 the next day workout out the time the train takes
Katena32 [7]

Answer:

Total time taken by train = 8 hour 32 minutes

Step-by-step explanation:

Given:

Time train leave Zurich = 22:40 min

Time train arrives in Vienna = 07:32

Find:

Total time taken by train

Computation:

Total time taken by train = [23:60 - 22:40] + 7:32

Total time taken by train = 1:20 + 7:32

Total time taken by train = 8:52

Total time taken by train = 8 hour 32 minutes

6 0
3 years ago
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