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
belka [17]
3 years ago
7

F(x) = 5 + 3x − x2 what is the range

Mathematics
1 answer:
I am Lyosha [343]3 years ago
4 0

Please use " ^ " to indicate exponentiation:  F(x) = 5 + 3x − x^2.  One way to determine the range of a quadratic function, such as this function is, is to find the vertex.  The y-value of the vertex is the max or the min of the function.

In this case, we have f(x) = -x^2 + 3x + 5, and the associated coefficients are a = -1, b = 3 and c = 5.  The axis of symmetry is x = -b/[2a].

Here, the equation of the axis of symmetry is x = -3/[2*-1), or x = 3/2.

Find the corresponding y value by subbing 3/2 for x in  f(x) = -x^2 + 3x + 5:

f(3/2) = -(3/2)^2 + 3(3/2) + 5  =  -9/4 + 9/2 + 20/4, or 9./4.

Thus, the vertex, representing a maximum, is (3/2, 29/4).

The range is (-infinity, 29/4].

You might be interested in
Help me out<br>........1​
Fiesta28 [93]

Answer: -13

Step-by-step explanation:

2-(3^2)+4-3-7 = -13

6 0
2 years ago
Read 2 more answers
A ball is kicked upward with an initial velocity of 32 feet per second. The ball's height, h (in feet), from the ground is model
stellarik [79]

Answer:

1.        t = 0.995 s

2.       h = 15.92  ft

Step-by-step explanation:

First we have to look at the following formula

Vf = Vo + gt

then we work it to clear what we want

Vo + gt = Vf

gt = Vf - Vo

t = (Vf-Vo)/g

Now we have to complete the formula with the real data

Vo = 32 ft/s      as the statement says

Vf = 0     because when it reaches its maximum point it will stop before starting to lower

g = -32,16 ft/s²        it is a known constant, that we use it with the negative sign because it is in the opposite direction to ours

t = (0 ft/s - 32 ft/s) / -32,16 ft/s²

we solve and ...

t = 0.995 s

Now we will implement this result in the following formula to get the height at that time

h = (Vo - Vf) *t /2

h = (32 ft/s - 0 ft/s) * 0.995 s / 2

h = 32 ft/s * 0.995 s/2

h = 31.84 ft / 2

h = 15.92  ft

4 0
3 years ago
Given A(2,14), B(2,3), C(4,2) and D(14,2) what about AB?
stepan [7]
Answer - 11

I’m assuming you’re trying to find the line AB (basically the distance between point A and B). If that’s the case, since they both have the same x vale, subtract their y values. 14-3 gives you 11, which is the length of line AB
7 0
3 years ago
Original price: $70; Markup: 15%. What is theretail price?
ziro4ka [17]

Answer:

80.50

Step-by-step explanation:

profit=$10.50

i would like a brailiest if you dont mind

5 0
3 years ago
Read 2 more answers
Solve the system of equations using the elimination method. 1.Solve {x + 3y = -15
shutvik [7]

An equation is formed of two equal expressions. The solution is (-9,-2).

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given the equation x + 3y = -15 and -3x + 2y = 23,

Step 1- Multiply the equations to make the coefficients match in either the x- or y-variable.

x + 3y = -15

3x + 9y = -45

Step2- After you multiply, add or subtract the two equations.

3x + 9y -3x + 2y = -45 + 23

Step 3- Then solve for the variables that is left.

11y = -22

y = -2

Step4- Substitute the value of y in any one of equations to solve for x.

x + 3(-2) = -15

x - 6 = -15

x = -9

Hence, The solution is (-9,-2).

Learn more about Equation:

brainly.com/question/2263981

#SPJ1

5 0
2 years ago
Other questions:
  • people can ensure items that they mail if the insurance fee for an item worth $25 is $0.85 how much would it cost to insure 7 pa
    8·1 answer
  • A 3-gallon bucket of paint costs $98.52 what is the price per quart?
    12·2 answers
  • I need help please.
    11·2 answers
  • HELP MEEEE PLEASE IM BAD WITH WORD PROBLEMS
    14·1 answer
  • Given z1 = 1 + i, z2 = 1 + i, find w = z1 ⋅ z2, and graph z1, z2, and w.
    14·1 answer
  • Una figura con 2346 cubos pertenece ala sucesión?
    14·1 answer
  • Consider the expression 35.86 divided by 2.2 .
    6·1 answer
  • 4. Angelina braided b inches of her hair. Brooke braided 4 less than 1/3 the number of inches Angelina braided.
    6·1 answer
  • A spherical exercise ball has a maximum diameter of 30 inches when filled with air. The ball was completely empty at the start,
    9·1 answer
  • The dog park had 14 dogs in it .6 of the dogs we're huskies .8 of the dogs were mutts . Write the ratio of huskies to mutts as t
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!