All categories

2 years ago

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

You might be interested in

Mary has a brownie recipe that calls for baking the brownies at 190°C for about 25 to 30 minutes.

alisha [4.7K]

Answer:

374°F

Step-by-step explanation:

6 0

2 years ago

Carlos kept track of how much cereal he ate for two months and found that he ate 208 ounces of cereal in that time. How many pou

kifflom [539]

Answer:

13 pounds

Step-by-step explanation:

if its wrong then-

3 0

3 years ago

Professor Walter precisa pintar uma quadra, que tem o formato retangular, cujo comprimento é de 45 m por 38 m. Para isso ele vai

ololo11 [35]

Answer:

24 buckets

Step-by-step explanation:

Given that :

Dimension of rectangular block = 45 m by 38 m

A bucket of paint will cover 72m² of floor

Total area of floor : Length * Width

Total Area = (45m * 38m) = 1710 m²

Buckets of paint required :

Total area / Area per bucket

= 1710m² / 72m²

= 23.75 buckets

= 24 buckets

3 0

3 years ago

Three numbers are in the ratio 3:9:10. If 10 is added to the last number, then the three numbers form an arithmetic progression.

MrRa [10]

Answer:

 The numbers are 6, 18, and 30 

Step-by-step explanation:

If the three numbers are in the ratio of 3:9:10,

let the numbers be 3x, 9x and 10x.

If 10 is added to the last number to form an arithmetic progression

Then, 3x 9x (10x+10) are the progression

The common difference of an arithmetic progression (d) = T₂ - T₁ = T₃ - T₂

T₂-T₁ = T₃ - T₂ .............. Equation 1

Where T₁ = first term of the progression, T₂ = Second term of the progression, T₃ = third term of the progression

Given: T₁ = 3x, T₂ = 9x, T₃ = 10x +10

Substituting these values into equation 1

9x-3x = (10x+10)-9x

Solving the equation above,

3x = 10+x

3x-x = 10

2x = 10

x = 10/2

x = 2.

Therefore the numbers are 6, 18, and 30 

7 0

3 years ago

You need a 45% alcohol solution. On hand, you have a 175 mL of a 25% alcohol mixture. You also have 70% alcohol mixture. How muc

Bezzdna [24]

175 mL at 25% concentration of alcohol contains 0.25 (175 mL) = 43.75 mL of alcohol. If v is the amount of the 70% solution that you use, then that amount contains 0.7v mL of alcohol.

Mixing these two yields a total volume of 175 mL + v, and it contains 43.75 mL + 0.7v alcohol. You want to end up with a concentration of 45%, which means the ratio of the amount of alcohol to the total volume needs to be 0.45:

(43.75 mL + 0.7v) / (175 mL + v) = 0.45

Solve for v :

43.75 mL + 0.7v = 0.45 (175 mL + v)

43.75 mL + 0.7v = 78.75 mL + 0.45v

0.25v = 35 mL

v = 140 mL

5 0

3 years ago