1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
11Alexandr11 [23.1K]
3 years ago
15

Please walk me through how to do this so I can di the other questions​

Mathematics
1 answer:
Naddik [55]3 years ago
3 0

Answer:

Axis is a vertical line at x = 2

Vertex is (2, -1)

y-intercept is (0, 3)

Solutions are x = 1 and x = 3

Step-by-step explanation:

To draw the graph of the quadratic equation you must find at least 5 points lie on the graph by choose values of x and find their values of y

Let us do that

Use x = -1, 0, 1, 2, 3, 4, 5

∵ y = x² - 4x + 3

∵ x = -1

∴ y = (-1)² - 4(-1) + 3 = 1 + 4 + 3 = 8

→ Plot point (-1, 8)

∵ x = 0

∴ y = (0)² - 4(0) + 3 = 0 + 0 + 3 = 3

→ Plot point (0, 3)

∵ x = 1

∴ y = (1)² - 4(1) + 3 = 1 - 4 + 3 = 0

→ Plot point (1, 0)

∵ x = 2

∴ y = (2)² - 4(2) + 3 = 4 - 8 + 3 = -1

→ Plot point (2, -1)

∵ x = 3

∴ y = (3)² - 4(3) + 3 = 9 - 12 + 3 = 0

→ Plot point (3, 0)

∵ x = 4

∴ y = (4)² - 4(4) + 3 = 16 - 16 + 3 = 3

→ Plot point (4, 3)

∵ x = 5

∴ y = (5)² - 4(5) + 3 = 25 - 20 + 3 = 8

→ Plot point (5, 8)

→ Join all the points to form the parabola

From the graph

∵ The axis of symmetry is the vertical line passes through the vertex point

∵ x-coordinate of the vertex point is 2

∴ Axis is a vertical line at x = 2

∵ The coordinates of the vertex point of the parabola are (2, -1)

∴ Vertex is (2, -1)

∵ The parabola intersects the y-axis at point (0, 3)

∴ y-intercept is (0, 3)

∵ x² - 4x + 3 = 0

∵ The solutions of the equation are the values of x at y = 0

→ That means the intersection points of the parabola and the x-axis

∵ The parabola intersects the x-axis at points (1, 0) and (3, 0)

∴ Solutions are x = 1 and x = 3

You might be interested in
PLEASE HELP ASAP, WILL GIVE BRAINLIEST!
mojhsa [17]

Answer:6

Step-by-step explanation:

since it is A half circle it is the hhalf Value of the area of the full circle

3 0
2 years ago
Read 2 more answers
An artist wants to create a painting on a semicircle canvas with a radius of 13 feet. He wants to surround the canvas with a pie
kodGreya [7K]

Answer: I forgot i remember the answer in my head I forgot..

Step-by-step explanation:

5 0
2 years ago
Which statement explains the difference between a line and a segment?
Mekhanik [1.2K]

Answer:

A

Step-by-step explanation:

7 0
3 years ago
I need answer for this question
just olya [345]

The probability that the aircraft is overloaded is 97.98%, which means the pilot should take the action.

In a Normal distribution with mean ц and standard deviation σ, the z-score of a measure x is given by:

Z = X-ц / σ

· It measures how many standard deviations the measure is from the mean.

· After finding Z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

· By the Central Limit Theorem, the sampling distribution of sample means of the size n has standard deviation σ

σ = σ / \sqrt{n}    

σ is standard deviation

n is the sample size.

Given that the mean and the standard deviation of the population is 176.1 lb and 35.4 respectively.

⇒ ц = 176.1  and σ = 35.4

For a sample of 43 passengers, we have

n = 43

σ =  \frac{35.4}{\sqrt{43}}

σ = 5.398

Z = X-ц / σ

Z = \frac{165-176.1}{5.398}

Z = -2.05 has p- value of 0.9798

The probability that the aircraft is loaded is

1 - p-value of Z

1 - 0.0202 = 0.9798

The probability that the aircraft is overloaded is 97.98%

Know more about Normal probability Distribution: -brainly.com/question/9333901

#SPJ9

6 0
10 months ago
Please help this is Science.
monitta
C. velocity includes the direction of travel whereas speed does not.
6 0
2 years ago
Read 2 more answers
Other questions:
  • Rewrite the expression by using grouping symbols.
    12·1 answer
  • A bar of metal is cooling from 1000°C to room temperature, 22°C. The temperature, H, of the bar t minutes after it starts coolin
    6·1 answer
  • Helppppppppppppppppppppppppppppppppp
    11·2 answers
  • What number is the opposite of 165
    8·2 answers
  • Reliable Cars has sales of $807,200, total assets of $1,105,100, and a profit margin of 9.68 percent. The firm has a total debt
    13·1 answer
  • During the woman's basketball championship game, team A scored 2 more points than team B. Together, both teams scored a total of
    9·2 answers
  • A given line has the equation 2x+12y=-1.
    10·2 answers
  • Do #6 for me pls and thank you!​
    15·1 answer
  • Solving two step inequalities
    13·1 answer
  • The diagram shows a triangle.<br><br> What is the value of b?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!