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
Mkey [24]
3 years ago
11

Christine is a software saleswoman. Her base salary is $2300, and she makes an additional $120 for every copy of History is Fun

she sells.
Let P represent her total pay (in dollars), and let N represent the number of coples of History is Fun she sells. Write an equation relating P to N. Then use this
equation to find her total pay if she sells 22 coples of History is Fun.
Mathematics
1 answer:
slava [35]3 years ago
7 0

Answer:

please give me brilliant answer

Boundless Algebra

Quadratic Functions and Factoring

Graphs of Quadratic Functions

Parts of a Parabola

The graph of a quadratic function is a parabola, and its parts provide valuable information about the function.

LEARNING OBJECTIVES

Describe the parts and features of parabolas

KEY TAKEAWAYS

Key Points

The graph of a quadratic function is a U-shaped curve called a parabola.

The sign on the coefficient aa of the quadratic function affects whether the graph opens up or down. If a<0a<0, the graph makes a frown (opens down) and if a>0a>0 then the graph makes a smile (opens up).

The extreme point ( maximum or minimum ) of a parabola is called the vertex, and the axis of symmetry is a vertical line that passes through the vertex.

The x-intercepts are the points at which the parabola crosses the x-axis. If they exist, the x-intercepts represent the zeros, or roots, of the quadratic function.

Key Terms

vertex: The point at which a parabola changes direction, corresponding to the minimum or maximum value of the quadratic function.

axis of symmetry: A vertical line drawn through the vertex of a parabola around which the parabola is symmetric.

zeros: In a given function, the values of xx at which y=0y=0, also called roots.

Recall that a quadratic function has the form

f(x)=ax2+bx+cf(x)=ax2+bx+c.

where aa, bb, and cc are constants, and a≠0a≠0.

The graph of a quadratic function is a U-shaped curve called a parabola.  This shape is shown below.



Parabola : The graph of a quadratic function is a parabola.

In graphs of quadratic functions, the sign on the coefficient aa affects whether the graph opens up or down. If a<0a<0, the graph makes a frown (opens down) and if a>0a>0 then the graph makes a smile (opens up). This is shown below.



Direction of Parabolas: The sign on the coefficient aa determines the direction of the parabola.

Features of Parabolas

Parabolas have several recognizable features that characterize their shape and placement on the Cartesian plane.

Vertex

One important feature of the parabola is that it has an extreme point, called the vertex. If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function. If the parabola opens down, the vertex represents the highest point on the graph, or the maximum value. In either case, the vertex is a turning point on the graph.

Axis of Symmetry

Parabolas also have an axis of symmetry, which is parallel to the y-axis. The axis of symmetry is a vertical line drawn through the vertex.

yy-intercept

The y-intercept is the point at which the parabola crosses the y-axis. There cannot be more than one such point, for the graph of a quadratic function. If there were, the curve would not be a function, as there would be two yy values for one xx value, at zero.

xx-intercepts

The x-intercepts are the points at which the parabola crosses the x-axis. If they exist, the x-intercepts represent the zeros, or roots, of the quadratic function, the values of xx at which y=0y=0. There may be zero, one, or two xx-intercepts. The number of xx-intercepts varies depending upon the location of the graph (see the diagram below).



Possible xx-intercepts: A parabola can have no x-intercepts, one x-intercept, or two x-intercepts

Recall that if the quadratic function is set equal to zero, then the result is a quadratic equation. The solutions to the equation are called the roots of the function. These are the same roots that are observable as the xx-intercepts of the parabola.

Notice that, for parabolas with two xx-intercepts, the vertex always falls between the roots. Due to the fact that parabolas are symmetric, the 

You might be interested in
Problem 1.1.A basket of fruit is arranged out of apples, bananas, and oranges.What is the smallest number of fruit that should b
Vedmedyk [2.9K]

Answer:

21

Step-by-step explanation:

The question is based in pigeonhole principle that says If n or  more  pigeons  are  distributed  among k >0 pigeonholes,then at least one pigeonhole contains at least \frac{n}{k} pigeons.

8 + 6 + 9−3 + 1 = 21

3 0
2 years ago
Marram spent 3/4 of her allowance at the mall. Of the money spent at the mall1/3 was spent on new earrings. What part of her all
nikitadnepr [17]
3/8 this is your answer so yahhh hope this heped
7 0
3 years ago
Solve: 9(y-2)-8y=-16
son4ous [18]

Answer:

y=2

Step-by-step explanation:

9(y-2)-8y=-16

9y-18-8y=-16

9y-8y=-16+18

y=2

Hope this helps!

4 0
3 years ago
Read 2 more answers
Solve for x<br> A) 42<br> B) 40<br> C) 45<br> D) 38
alexgriva [62]

Answer:

x = 40

Step-by-step explanation:

Using similarity theorem, we have the following:

\frac{24}{24 - 15} = \frac{x}{x - 25}

Solve for x

\frac{24}{9} = \frac{x}{x - 25}

Cross multiply

24(x - 25) = x(9)

24x - 600 = 9x

Subtract 24x from each side

- 600 = 9x - 24x

- 600 = -15x

Divide both sides by -15

40 = x

x = 40

3 0
2 years ago
-10.2+c=-8.14<br> Helpppp
Oksanka [162]

Answer:

c=18.34

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Rounded 30,000 to smallest and the largest n
    5·1 answer
  • Subtract.
    7·2 answers
  • Milo cut his cake into 2 equal pieces. He ate 2 <br> pieces of cake for his birthday
    11·2 answers
  • HELPPP ASAP <br> What is the value of x in this equation <br> 1/2x - 9 = 36
    9·2 answers
  • How many times can 8 go into 60
    9·2 answers
  • (-3,2); m=5 write in point slope form
    8·1 answer
  • Simplify 3c÷c²-d²-3d÷d²-c²<br>​
    11·1 answer
  • PLEASE HELP ME!!!!!!!!
    12·1 answer
  • - Alto and Sheryl both worked hard over the summer. Together they earned a total of $475. Sheryl earned $25 more than Alto. (a)
    11·2 answers
  • Which of the following best describes the nitrogen fixation process?(1 point) Consumers convert nitrogen gas into ammonia, nitri
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!