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
Lilit [14]
1 year ago
15

Draw the graph of y = x² – 4x + 3. Identify the intercepts (x and y), the vertex, and the axis of symmetry.

Mathematics
1 answer:
ss7ja [257]1 year ago
3 0

Answer:

y-intercept : 3

x-intercepts are 1 and 2

Vertex is at (2,-1)

Axis of symmetry is at x = 2

Step-by-step explanation:

See attached graph.

The equation y = x² – 4x + 3 represents a parabola

y-intercept at is at B(0,3); y-intercept is 3

x-intercept points at C(1,0) and D(3,0) so x-intercepts are 1 and 3

The vertex is the lowest point on this parabola (2-1)

Axis of symmetry is a line passing through the vertex and dividing the parabola into two equal halves. This is the vertical line x = 2

You might be interested in
Once again co sines . Please help me and include explanation with a clear answer
vladimir1956 [14]

Using the law os cosines formula b^2 = a^2 + c^2 - 2*a*c*cos(B)

a = 17, b = 8, c = 16

8^2 = 17^2 + 16^2 - 2*17*16* cos(B)

64 = 289 + 256 - 544 * cos(B)

544*cos(B) = 289 + 256 - 64

544 * cos(B) = 481

cos (B) = 481/544

B = arccos(481/544)

B = 27.8 degrees

8 0
3 years ago
Use basic trigonometric identities to simplify the expression: sin (-x) cos (-x) csc (-x) =?
Anestetic [448]

Answer:

sin (-x) cos (-x) csc (-x) =cos(x)

Step-by-step explanation:

We know by definition that the cosine is an even function, therefore

cos (-x) = cos (x)

We also know that the sin is an odd function, therefore

sin (-x) = -sin (x)

By definition:

cscx = \frac{1}{sinx}.

Then:

csc(-x) = \frac{1}{sin(-x)}.

csc(-x) = -\frac{1}{sin(x)}.

Using these trigonometric properties we can simplify the expression

sin (-x) cos (-x) csc (-x)= -sin(x)cos(x)*(-\frac{1}{sin(x)})\\\\sin (-x) cos (-x) csc (-x)=cos(x)

7 0
3 years ago
Read 2 more answers
Lindsay is 5 years younger than Mark. Seven years ago, the sum of their ages was 31.
Rashid [163]

Answer:

The present age of Mark is 25 years.

And present age of Lindsay is  20 years.

Step-by-step explanation:

Let us assume:

The present age of Lindsay = l

The present age of Mark = m

⇒ Age of Lindsay seven years ago =  (l -7) years

and Age of Mark seven years ago =  (m -7) years

According to question:

Lindsay is 5 years younger than Mark    ⇒   l = m  - 5

Seven years ago, the sum of their ages was 31  ⇒  (l-7) + (m -7)  = 31

So, the given set of equation are:

l = m  - 5    .........  (1)

(l-7) + (m -7)  = 31

⇒ ((m - 5) -7) + (m -7)  = 32  (from (1)

or, m -12 + m - 7  = 31

or, 2m = 31 + 19 = 50

⇒ m = 50 / 2  = 25, or m  = 25

Hence,the present age of Mark = 25 years

So,the present age of Lindsay = 25 - 5 = 20 years

7 0
3 years ago
I want to buy a car for $17,500 and I make 13 an hour roughly how long would it take me to reach my goal? & how many hours w
Aneli [31]

Answer:

1347 hours

Step-by-step explanation:

Assuming the income is <u>net income</u> (total after taxes etc.):

  • Cost of car = $17,500
  • Net income = $13 per hour

To calculate the number of hours to be worked to save enough to buy the car, divide the cost of the car by hourly net income:

\begin{aligned}\implies \textsf{Number of hours to work} & = \dfrac{\textsf{Cost of car}}{\textsf{hourly net income}}\\\\& = \sf \dfrac{17500}{13}\\\\& = \sf 1346.1538...\end{aligned}

We have to round the number up to <u>1347 hours</u>, as only $17,498 will be saved if 1346 hours are worked.

The average working week is approximately 40 hours, therefore to calculate how many weeks it would take to earn enough money to purchase the car, divide the number of hours by 40:

⇒ 1347 ÷ 40 = 33.675

So it would take 34 weeks, working an average of 40 hours a week and not spending <u>any</u> of the money earned, to save enough to purchase the car.

8 0
2 years ago
Read 2 more answers
Choose the system of inequalities that best matches the graph below. A. B. C. D.
Fiesta28 [93]

Answer:

A better way to explain condensation on hero academia season and 2

4 0
2 years ago
Other questions:
  • Find the length of RA. A. 42 B. 84 C. 14 D. 7
    13·2 answers
  • "If a figure is a square, then it is a regular quadrilateral." Is this true or false? Explain.
    13·2 answers
  • Can someone help, i think its B but i dont think thats right.
    5·1 answer
  • A publishing industry report predicts that magazine subscriptions will drop by 7% each year. If this prediction is correct, then
    7·1 answer
  • Find the slope of the line perpendicular
    13·1 answer
  • In the figure below, the radius of circle P is 10 units. The arc length of ABC is 16 pi. What is the arc measure of AC, in degre
    6·1 answer
  • I need help asap quick
    12·1 answer
  • Can you guys help me please<br><br>QUICKLY
    14·2 answers
  • 6 3/4 x 5 + 2 1/4 =?
    14·2 answers
  • Someone pls help me I will make you as brain
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!