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
Xelga [282]
2 years ago
7

Find the vertex of the quadratic function

Mathematics
1 answer:
Galina-37 [17]2 years ago
8 0

Answer:

(1.5,2.5)

Step-by-step explanation:

f(x) = 2x^2 - 6x + 7

Take the first derivative and set it equal to 0 (the slope is 0 at the vertex)

f'(x) = 4x -6

0 = 4x - 6

4x = 6

x = 3/2 or 1.5

If x = (3/2), then y = 2(3/2)^2 - 6(3/2) + 7

y = 2(9/4) - 18/2 + 7

y = (9/2) - 2

y = 2.5

See attached graph.

You might be interested in
What is the LCD of 2/5 and 1/10​
Otrada [13]

Answer:

10

Step-by-step explanation:

5*2 is 10 Wich is equal to the other demoniator of the other fraction

4 0
3 years ago
A tower that is 111 feet tall casts a shadow 126 feet long. find the angle of elevation of the sun to the nearest degrre
Sergeeva-Olga [200]
The angle here is an acute angle at ground level.  Then the side adjacent to this angle is 126 feet.  The opp. side is the tower, 111 feet tall.

Then   

tan theta = opp / adj = 111 / 126.  Using the inverse tangent function, we find that the measure of the angle is 0.722 radian or 41 degrees (to the nearest degree).
3 0
3 years ago
Write the equation of the line that is parallel to
Kruka [31]

Answer:

y = -x + 2

Step-by-step explanation:

Lines that are parallel have the same slope but different

y-intercepts.

So the slope of the parallel line is -x

We can input the x and y points given to solve for the new y-intercept

  • y = -x + b
  • 8 = -(-6) + b
  • 8 = 6 + b
  • b = 2

The new line is y = -x + 2. Since these two lines are the same, they are coinciding lines.

-Chetan K

4 0
2 years ago
Read 2 more answers
What is 11.16 times 3.27??
kirill115 [55]
11.16 times 3.27 is 36.4932
3 0
3 years ago
Sam found a wrecked car that could she could fix. She bought the car for
katen-ka-za [31]
4,680 I do it like this 50 percent is 3600 then 10 percent is 720 and 5 percent is 360 add then you get 4,680
8 0
3 years ago
Read 2 more answers
Other questions:
  • What is the equation of the line that passes through the point (-2,-2)(−2,−2) and has a slope of 22?
    12·1 answer
  • What number has the same value as 14 tens
    14·1 answer
  • Inequality of <br> 6 + 2x &lt; -18
    6·1 answer
  • What is the common difference of -10, -190, -390, -590
    14·1 answer
  • Brainliest! Fast answer! Correct answer!
    5·1 answer
  • Please look below for the question :)
    7·2 answers
  • Find the lengths of the missing sides in the triangle. Write your answers as integers or as decimals rounded to the nearest tent
    12·1 answer
  • HELP ASAP INCLUDE WORK I WILL MARK BRAINLIEST
    8·1 answer
  • Write down the complement 17,30​
    12·1 answer
  • Please help!! markup and markdown word problems.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!