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kondor19780726 [428]
2 years ago
7

How many solutions does this system of equations have y=2x y=x^2+2

Mathematics
1 answer:
finlep [7]2 years ago
5 0

The resulting equation has a leading degree of 2, hence the system of equation will have 2 solutions

<h3>Quadratic equations</h3>

Quadratic equations are equations that has a leading degree of 2. Given the following system of equations

y=2x

y=x^2+2

Equate to have:

2x = x^2+ 2

Equate to zero

x^2 - 2x +2 = 0

Since the resulting equation has a leading degree of 2, hence the system of equation will have 2 solutions

Learn more on system of equations here: brainly.com/question/14323743

#SPJ1

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1.) -2(6 - 2x) = 4(-3 + x)<br> 2.) 5 - 1(2x + 3) = -2(4 + x)
Scrat [10]

Let's solve your equation step-by-step.

Question 1:   −2(6−2x) =4(−3+x)

 

Step 1: Simplify both sides of the equation.

−2(6−2x) =4(−3+x)

(−2) (6) +(−2) (−2x) =(4)(−3)+(4)(x)(Distribute)

−12+4x=−12+4x

4x−12=4x−12

 

Step 2: Subtract 4x from both sides.

4x−12−4x=4x−12−4x

−12=−12

 

Step 3: Add 12 to both sides.

−12+12=−12+12

0=0

Answer: All real numbers are solutions.

Question 2:  

Let's solve your equation step-by-step.

5−1(2x+3) =−2(4+x)

 

Step 1: Simplify both sides of the equation.

5−1(2x+3) =−2(4+x)

5+(−1) (2x) +(−1) (3) =(−2) (4)+(−2)(x)(Distribute)

5+−2x+−3=−8+−2x

(−2x) +(5+−3) =−2x−8(Combine Like Terms)

−2x+2=−2x−8

−2x+2=−2x−8

 

Step 2: Add 2x to both sides.

−2x+2+2x=−2x−8+2x

2=−8

 

Step 3: Subtract 2 from both sides.

2−2=−8−2

0=−10

 

Answer: There are no solutions.

 

8 0
3 years ago
The sum of two numbers is 196. One number is 64 more than the other. Find the numbers.
ValentinkaMS [17]

Answer:

<h2><u><em>66,130</em></u></h2>

I just guessed random numbers until I got 66 and 130.

4 0
3 years ago
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Perform the operation and write the answer in the simplest form....
Stels [109]
For dividing fractions you should always use the KCF method: Keep Change Flip
6/10 divided by 12/7 
Kcf method:
6/10*7/12= 42/120
42/120 in simplest form will be 7/20
So the answer is A

4 0
3 years ago
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irinina [24]
This is what it looks like. It opens to the right.

8 0
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Alona [7]

<em>Your answer is the following.</em>

<em></em>

<em>Answer = 19/50 </em>

<em />

5 0
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