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Serhud [2]
2 years ago
7

Give the steps you would use to find the solutions to the system of equations, then name the solutions. you may solve this graph

ically or algebraically
y=2x^2-6x+1
y=-x+1
Mathematics
1 answer:
balu736 [363]2 years ago
7 0

We have found one solution to the equations that the two equations intersect at the point (2.5,-1.5).

<h3>What are equations?</h3>

The equation is actually a relationship between the numbers and the variables. In this question we have two equations y=2x²-6x+1 and y=-x+1 so by equating them we can find the value of x which is the intersecting point of the two lines.

Now the solution of the equations:-

y=2x²-6x+1

y=-x+1

2x²-6x+1 = -x+1

2x²=5x

x=5/2=2.5

y=-2.5+1=-1.5

Hence the one solution to the equations that the two equations intersect at the point (2.5,-1.5).

To know more about equations follow

brainly.com/question/2972832

#SPJ1

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Resistors. An electrical engineer has two boxes of resistors, with four resistors in each box. The resistors in the first box ar
Dafna11 [192]

Answer:

A. Sample Space = S = {(9, 18),(9, 19),(9, 20),(9, 21),(10, 18),(10, 19),(10, 20),(10, 21),(11, 18),(11, 19),(11, 20),(11, 21),(12, 18),(12, 19),(12, 20),(12, 21)}

B.  {(9, 18),(10, 18),(11, 18),(12, 18)}

C. {(9, 18),(9, 19),(10, 18)}

D.  {(9, 18),(9, 19),(10, 18),(11, 18),(12, 18)}

E. B(complement) ∩C =  {(9, 19)}

Step-by-step explanation:

The Sample Space would contain each element of the box A associated with each element of the box B.

A. Sample Space = S = {(9, 18),(9, 19),(9, 20),(9, 21),(10, 18),(10, 19),(10, 20),(10, 21),(11, 18),(11, 19),(11, 20),(11, 21),(12, 18),(12, 19),(12, 20),(12, 21)}

B.  Let the Outcomes in the event B, the event that the second resistor has a resistance less than 19 be denoted by J then

J=  {(9, 18),(10, 18),(11, 18),(12, 18)}

C. Let the outcomes in the event C, the event that the sum of the resistances is equal to 28 be denoted by L then

L =  {(9, 18),(9, 19),(10, 18)}

D. The  outcomes in B∪C contains all the elements of B and C

B∪C=J∪L= {(9, 18),(9, 19),(10, 18),(11, 18),(12, 18)}

E. B complement contains those elements of the Sample Space which are not the elements of Set B.

B complement= S-B=  {(9, 19),(9, 20),(9, 21),(10, 19),(10, 20),(10, 21),(11, 19),(11, 20),(11, 21),(12, 19),(12, 20),(12, 21)}

B(complement) ∩C contains those elements of B and C which are common to both B complement and C.

B(complement) ∩C =  {(9, 19)}

4 0
3 years ago
When Deion was born, his grandfather gave him a 7.5-gram gold coin as a present. Today, Deion read in the newspaper that a gram
Sindrei [870]

Step-by-step explanation:

1 garm = $50.04

7.5 gram = 50.04 × 7.5 = $375.3

7 0
3 years ago
A cabbage is worth 55 points, an apple is worth 40 points, a potato is worth 45 points and a pumpkin is worth 60 points. How man
Vera_Pavlovna [14]
The cabbage is lots of points
8 0
2 years ago
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I don’t know how to find the LCM for this.
nekit [7.7K]

Answer:

B

Step-by-step explanation:

7mn³|7m²n³ ---14mn^5

       | m---2n²

LCM=7mn³×m×2n²

=14m²n^5

or LCM of 7,14 =14

Highest power of m=2

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LCM=14m²n^5

6 0
3 years ago
Help! Urgent request
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Answer: 6 students

What we know:

Students: 24

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Students who also play sudoku:\frac{3}{8} of the \frac{2}{3}

24 ÷ 3 = 8, so 8 × 2 = 16 (students who play checkers)

\frac{3}{8} × 2 = \frac{6}{16}

So the answer is,

6 students play both checkers and sudoku

8 0
3 years ago
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