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
Blizzard [7]
3 years ago
15

Please help me with this

Mathematics
1 answer:
kondor19780726 [428]3 years ago
4 0

9514 1404 393

Answer:

  Vertex: (-1, 4)

  Maximum: f(-1) = 4

  Increasing: (-∞, -1)

  Decreasing: (-1, ∞)

Step-by-step explanation:

The equation can be written in vertex form by "completing the square."

First factor out the leading coefficient from the x-terms.

  f(x) = -(x² +2x) +3

Then add the square of half the x-coefficient inside parentheses. Add the opposite of that amount outside parentheses.

  f(x) = -(x² +2x +1) +3 +1

Write in vertex form.

  f(x) = -(x +1)² +4 . . . . . . . compare to a(x -h)² +k

You can see that the vertex is (h, k) = (-1, 4), and that the vertical scale factor 'a' is negative. This means the vertex is the maximum and the parabola opens downward.

The function will be increasing to the left of the maximum, decreasing to its right.

__

Vertex: (-1, 4)

Maximum: f(-1) = 4

Increasing: (-∞, -1)

Decreasing: (-1, ∞)

Graph: see attached

You might be interested in
I need help please it’s due tomorrow.......
Sholpan [36]
Let
x-------> the width of the rectangular area
y------> the length of the rectangular area

we know that
y=x+15------> equation 1
perimeter of a rectangle=2*[x+y]
2x+2y <= 150-------> equation 2

substitute 1 in 2
2x+2*[x+15] <=150--------> 2x+2x+30 <=150----> 4x <=150-30
4x <= 120---------> x <= 30
the width of the rectangular area is at most 30 ft
y=x+15
for x=30
y=30+15------> y=45
 the length of the rectangular area is at most 45 ft

see the attached figure
the solution is<span> the shaded area</span>

4 0
3 years ago
Marcos delivers newspapers during his summer break. He delivers a different number of papers each day. What percent of the total
soldier1979 [14.2K]
Is there some sort of graph or second part to this?
7 0
3 years ago
Read 2 more answers
when a spherical balloon filled with air diameter of 6 inches what's the volume of balloon in cubic inches
Cerrena [4.2K]
Volume of sphere: V(s) = 4/3*pi*R^3 = (4/3)*pi*(D/2)^3 = (1/6) * pi * D^3

Volume of cube: V(c) = s^3

Volume of them is the same, I'm assuming you actually want to know the length of the cubic vertice

So s^3 = (1/6)*pi*D^3 -> s = (1/6 * pi)^1/3 * 6 = (36pi)^1/3
3 0
3 years ago
Read 2 more answers
If a =(9,18) and b=(1,12) what is the length of ab
cupoosta [38]

Answer:

AB = 10

Step-by-step explanation:

Use the distance formula: √(12 - 18)^2 + (1 - 9)^2

√36 + 64

10

7 0
3 years ago
The diagram shows a right triangle with legs that measure 4 and 7.
anyanavicka [17]

Calculate the hypotenuse( h ) using Pythagoras' identity

h =√(4² + 7²) = √(16 + 49) = √65

sinΘ = 4 / √65  ⇒ cscθ = √65 / 4

cosθ = 7/ √65 ⇒ secθ = √65 / 7

tanθ = \frac{4}{7} ⇒ cotθ = \frac{7}{4}



3 0
3 years ago
Other questions:
  • 2 1 MLD
    11·1 answer
  • -5.6+(-9.72) what does this equal?
    6·1 answer
  • If an 11year old child needs to take 1/5 amount of medication per day to heal their head. If a baby has to take 1/5 as much to g
    7·1 answer
  • kim needs to read 147-page book for class. she has one week to read it, and she plans to read an equal amount of pages each day.
    12·1 answer
  • Directions- Write a formula from the given day for each linear function Find the equation of the line parallel to 6x+3y-11=0, th
    11·1 answer
  • What is the measure of an angle that turna through 67 one degree angle?
    7·1 answer
  • Mikas diner sold 70 milkshakes last week. 9% of the milkshakes had whipped cream on top. How many milkshakes with whipped cream
    13·2 answers
  • Lin knows that there are 4 quarts in a gallon. She wants to convert 6 quarts to a gallon, but cannot decide if she should multip
    5·1 answer
  • Celia uses 80% of her paycheck to pay her bills. Her bills total $272. How much is Celia paycheck?
    13·1 answer
  • Help please? I’m not too sure what to do?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!