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
Butoxors [25]
2 years ago
10

I need help I’m stuck!

Mathematics
1 answer:
Natali5045456 [20]2 years ago
8 0

Part I: Complete the Square

y=-6x^2 + 36x-12\\ \\ y=-6(x^{2}-6x)-12\\\\ y=-6\left((x-3)^{2}-9 \right)-12\\\\y=-6(x-3)^{2}+54-12\\\\\boxed{y=-6(x-3)^{2}+42}

Part II: Graph of the function

See the attached image for the complete graph.

After completing the square, the equation of the quadratic is in vertex form, and so the vertex is at (3, 42).

Also, as the coefficient of x^2 is negative, the graph opens down.

Once you figure this out, find the coordinates of some other points on the graph and connect them in the shape of a parabola.

Part III: Line of symmetry

The axis of symmetry is the vertical line passing through the vertex. In this case, it is <u>x = 3</u>.

Part IV: Maximum/minimum value

The maximum/minimum value is the y-coordinate of the vertex. In this case, it is 42.

You might be interested in
Which numbers are a distance of 5 units from 8 on a number line?
Aneli [31]
13, 3. are the ones i could find
5 0
3 years ago
Read 2 more answers
13-6x=(2x-5)^2+3 what answer
svet-max [94.6K]
<span><span>13−<span>6x</span></span>=<span><span><span>(<span><span>2x</span>−5</span>)</span>2</span>+3</span></span>Step 1: Simplify both sides of the equation.<span><span><span>−<span>6x</span></span>+13</span>=<span><span><span>4<span>x2</span></span>−<span>20x</span></span>+28</span></span>Step 2: Subtract 4x^2-20x+28 from both sides.<span><span><span><span>−<span>6x</span></span>+13</span>−<span>(<span><span><span>4<span>x2</span></span>−<span>20x</span></span>+28</span>)</span></span>=<span><span><span><span>4<span>x2</span></span>−<span>20x</span></span>+28</span>−<span>(<span><span><span>4<span>x2</span></span>−<span>20x</span></span>+28</span>)</span></span></span><span><span><span><span>−<span>4<span>x2</span></span></span>+<span>14x</span></span>−15</span>=0</span>Step 3: Use quadratic formula with a=-4, b=14, c=-15.<span>x=<span><span><span>−b</span>±<span>√<span><span>b2</span>−<span><span>4a</span>c</span></span></span></span><span>2a</span></span></span><span>x=<span><span><span>−<span>(14)</span></span>±<span>√<span><span><span>(14)</span>2</span>−<span><span>4<span>(<span>−4</span>)</span></span><span>(<span>−15</span>)</span></span></span></span></span><span>2<span>(<span>−4</span>)</span></span></span></span><span>x=<span><span><span>−14</span>±<span>√<span>−44</span></span></span><span>−<span>8</span></span></span></span>
5 0
3 years ago
Calculate the area of this figure. Show all work and include proper units.<br> Check photo for units
Allushta [10]

Answer:

  • 92 ft²

Step-by-step explanation:

If you complete the square, you will add a right triangle with legs 10 - 6 = 4 ft.

<u>The area of the figure is:</u>

  • A = 10² - 1/2*4*4 = 100 - 8 = 92 ft²
5 0
2 years ago
I need help please help me im struggling please show WORK and tell me how to do it NO links please.
stellarik [79]

Answer:

- 7y +3 =-25

-7y=-25—3

-7y=-28

-7y÷-7= -28÷-7

y=4

Step-by-step explanation:

Take +3 to the side so that your variable and a constant is on their own sides. When a number goes over the equals sign the sign changes at becomes the inverse that's why l said - 3. You now calculate - 25—3 equals 28 then divide by 7 to find y and your y is 4.

3 0
3 years ago
Please help me solve
arsen [322]

Answer:

18 square centimeters

Step-by-step explanation:

Notice that if e is the midpoint of the side CB, and angle \angle x = 45^o, then this rectangle is in fact two squares of side 3 cm put together. therefore, side CD has a length of 6 cm, and as a result, the area of the figure is given by the product base times height = 6 x 3 = 18 cm^2

4 0
3 years ago
Read 2 more answers
Other questions:
  • The function f(t) = −5t 2 + 20t + 60 models the approximate height of an object
    12·2 answers
  • What is the mean and mode of the data set shown below? {2, 4, 5, 6, 8, 2, 5, 6}
    15·1 answer
  • the insurance company pays the forecast of 3900 prescriptions claims out of 4500 prescription claims submitted what is the rate
    5·1 answer
  • Calculate the mean given the frequency table
    5·1 answer
  • Suppose y varies directly with x. If y=6 when y=-2, find x when y=15.
    10·1 answer
  • Convert 3.5 multiplied by 10 and 4 square root
    15·1 answer
  • A club swimming pool is 21ft wide and 41ft long. The club members want a uniform width border around the pool. They have enough
    10·1 answer
  • What is the slope of your equation?
    6·1 answer
  • The filter system for the aquarium is a rectangular prism measuring 8 inches long, 8 inches wide and 15 inches high. What is the
    7·1 answer
  • Pls help me
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!