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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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alisha [4.7K]

use cos to get an equation and then solve.

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3 years ago
sum of the angle measures of a triangle is 180° suppose that one angle in a triangle has a degree measure of 4X -3 and another h
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3 years ago
A side of a square is 10 cm longer than the side of an equilateral triangle. The perimeter of the square is 3 times the perimete
bija089 [108]

Here's the solution :

  • Side of the equilateral triangle = x

  • Side of square = x + 10

perimeter of equilateral triangle = 3 × x = 3x

perimeter of square = 4 × (x + 10)

now, according to above statement :

permission (square) = 3 × perimeter (triangle)

that is :

  • 4(x + 10)  = 3 \times 3x

  • 4x + 40 = 9x

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3 0
3 years ago
Read 2 more answers
Mrs Adams baked some muffins. Carl eat 2/5 of the muffins and John eat 25. How many muffins were baked?
Dennis_Churaev [7]

Answer:


Well, how many were left over? Mrs. Adams has a muffin factory and made 1 million muffins. Carl ate 2/5 or 40% or 400,000 muffins, and John ate 25. 599,975 muffins were shipped for sale. That meets the stated requirements.


Hence, we have to guess there were supposed to be no muffins left over.


In that case, Mrs. Adams baked 125/3 muffins, Carl ate 2/5 of them = 50/3, leaving 75/3 = 25 for John.



Step-by-step explanation:

x muffins baked, 2/5 eaten by Carl, 3/5 left to be eaten by John, who ate 25 before running out.


3/5 x = 25

x = 25 × 5/3 = 125/3 = 41 + 2/3


Or, Start with x muffins. Carl ate 2/5 x, leaving 3/5 x. John ate 25 with zero left over. So 3/5 x = 25.


(x - 2/5 x) - 25 = 0

3/5 x = 25

x = (5/3) × 25 = 125/3.

8 0
3 years ago
Part 2: Create a scenario for a geometric sequence. For example, Anthony goes to the gym for ______ minutes on Monday. Every day
Ugo [173]
An example scenario is:

Anthony goes to the gym for <em>20</em> minutes on Monday. Every day he <em>multiplies</em> his gym time by <em>2</em>. 

On the fifth day, he will spend spend 320 minutes in the gym. 

The formula used to determine the 5th term is,

                                       a5 = 20 x 2^(r -1) 

where r is the common ratio equal to 2. 


5 0
3 years ago
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