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ad-work [718]
3 years ago
13

How to solve to system y=x^2-2 y=2x+1

Mathematics
1 answer:
vovikov84 [41]3 years ago
7 0

Answer:

the solutions are (3, 7) and (-1, -1)

Step-by-step explanation:

Insert the " = " symbol between the two equations, obtaining:

y = x^2 - 2 = y = 2x + 1

Then x^2 - 2 = 2x + 1, or

x^2 - 2x - 3 = 0, and this can be factored into (x - 3)(x + 1) = 0.

Thus, the x values that satisfy this system are {-1, 3}.

Use y = 2x + 1 to find the corresponding y values:

y = 2(-1) + 1 = -1

and

y = 2(3) + 1 = 7

Then the solutions are (3, 7) and (-1, -1)

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Aleonysh [2.5K]

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\\ \sf\longmapsto tanx=\dfrac{4}{3}

\\ \sf\longmapsto x=tan^{-1}(4/3)

\\ \sf\longmapsto x=53°

\\ \sf\longmapsto tan(90-x)

\\ \sf\longmapsto cotx

\\ \sf\longmapsto cot53

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6 0
2 years ago
Read 2 more answers
Please help if you’re good at math<br><br><br><br> need an answer asap!!
mars1129 [50]

Answer:

Zero real roots:

f(x) = x^2-x+1

f(x) = x^2+2x+3

One real root:

Two real roots:

f(x)=x^2+2x+1

f(x)=x^2-3x+2

Step-by-step explanation:

These were determined by using the quadratic formula.

8 0
3 years ago
Find the area of each figure. Use 3.14 for pie.
Murrr4er [49]

Answer:

sorry

Step-by-step explanation:

i think hope this helps

7 0
3 years ago
Joshua has a bag of marbles. In the bag are 5 white marbles, 3 blue marbles, and 7 green marbles. Peter randomly draws one marbl
Step2247 [10]

Answer:

1 / 5

Step-by-step explanation:

Given that:

Number of white marbles = 5

Number of blue marbles = 3

Number of green marbles = 7

Required is the approximate probability of drawing 2 green marbles, Note that drawing is done without replacement :

Probability = required outcome / Total possible outcomes

Total possible outcomes = sum of all marbles = (5 + 3 + 7) = 15 marbles

First draw:

P(Green) = 7 / 15

Second draw:

Required outcome = 7 - 1 = 6

Possible outcomes = 15 - 1 = 14

P(green) = 6 / 14

Probability of drawing out two green marbles :

(7/15 * 6/14) = 42 / 210 = 1 / 5

6 0
3 years ago
At a family reunion, a family friend brings 20 pounds of ice and 30 cups. Which expression shows the greatest common factor, usi
Eddi Din [679]

The expression for the greatest common factor of 20 and 30 using the distributive property is 10(2 + 3)

Pounds of ice = 20

Number of cups = 30

The relation for the distributive property :

a × (b + c)

Expand ;

a × (b + c) = (a × b) + (a × c) = ab + ac

Finding the greatest common factor of 20 and 30 ;

  • 20 = 2 × 10

  • 30 = 3 × 10

(2 × 10) + (3 × 10)

According to the distributive property

(2 × 10) + (3 × 10) = 10(2 + 3)

Therefore, the expression for the greatest common factor is 10(2 + 3)

Learn more :brainly.com/question/15263211

6 0
3 years ago
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