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
pav-90 [236]
3 years ago
5

Evaluate each function at each of the four points.

Mathematics
1 answer:
Mumz [18]3 years ago
5 0

Answer:

Step-by-step explanation:

All we have to do is input the given values of x into the functions.

The first function:

f(x) = x^2 - 5x - 6

f(0) = 0^2 - 5(0) - 6 = 0 - 0 - 6 = -6

f(0) = -6

f(2) = 2^2 - 5(2) - 6 = 4 - 10 - 6 = -12

f(2) = -12

f(-1) = -1^2 - 5(-1) - 6 = 1 + 6 - 6 = 1

f(-1) = 1

f(6) = 6^2 -5(6) - 6 = 36 - 30 - 6 = 0

f(6) = 0

The second function:

f(x) = x^3 - x^2 - 12

f(0) = 0^3 - 0^2 - 12 = 0 - 0 - 12 = -12

f(0) = -12

f(2) = 2^3 - 2^2 - 12 = 8 - 4 - 12 = -8

f(2) = -8

f(-1) = -1^3 - (-1)^2 - 12 = -1 - 1 - 12 = -14

f(-1) = -14

f(6) = 6^3 - 6^2 - 12 = 216 - 36 - 12 = 168

f(6) = 168

The third function:

f(x) = 5 * 2^x

f(0) = 5 * 2^0 = 5 * 1 = 5

f(0) = 5

f(2) = 5 * 2^2 = 5 * 4 = 20

f(2) = 20

f(-1) = 5 * 2^-1 = 5 * 0.5 = 2.5

f(-1) = 2.5

f(6) = 5 * 2^6 = 5 * 64 = 320

f(6) = 320

You might be interested in
Radio signals travel at a rate of 3 × 108 meters per second. How many seconds will it take for a radio signal to travel from a s
lys-0071 [83]

Answer:

1.1888 (8 goes on forever) seconds to travel from the satellite to Earth.

Step-by-step explanation:

It is traveling at 3 x 108 m/s and needs to travel 3.6 x 107 m. 3 x 108=324 and 3.6 x 107=385.2 so 324 m/s for 385.2 m. 385.2/325=1.1888.

5 0
3 years ago
Read 2 more answers
A projectile is fired with muzzle speed 220 m/s and an angle of elevation 45° from a position 30 m above ground level. Where doe
Allushta [10]

Answer:

  • 4968.6 m from where it was fired
  • 221.33 m/s

Step-by-step explanation:

For the purpose of this problem, we assume ballistic motion over a stationary flat Earth under the influence of gravity, with no air resistance.

We can divide the motion into two components, one vertical and one horizontal. For muzzle speed s and launch angle θ, the horizontal speed is presumed constant at s·cos(θ). The initial vertical speed is then s·sin(θ) and the (x, y) coordinates as a function of time are ...

  (x, y) = (s·cos(θ)·t, -4.9t² +s·sin(θ)·t + h₀) . . . . . where h₀ is the initial height

To find the range, we can solve the equation y=0 for t, and use this value of t to find x.

Using the quadratic formula, we find t at the time of landing to be ...

  t = (-s·sin(θ) - √((s·sin(θ))²-4(-4.9)(h₀)))/(2(-4.9))

  t = (s/9.8)(sin(θ) +√(sin(θ)² +19.6h₀/s²))

For s = 220, θ = 45°, and h₀ = 30, the time of flight is ...

  t ≈ 31.939 seconds

Then the horizontal travel is

  x = 220·cos(45°)·31.939 ≈ 4968.6 . . . . meters

__

As it happens, the value under the radical in the above expression for time, when multiplied by s, is the vertical speed at landing. The horizontal speed remains s·cos(θ), so the resultant speed is the Pythagorean sum of these:

  landing speed = s·√(cos(θ)² +sin(θ)² +19.6h₀/s²) ≈ s√(1 +0.012149)

  ≈ 221.33 m/s

_____

Note that the landing speed represents the speed the projectile has as a consequence of the potential energy of its initial height being converted to kinetic energy that adds to the kinetic energy due to its initial muzzle velocity.

6 0
3 years ago
Kareem buys candy that costs $4 per pound. He will spend at most $48 on candy. What are the possible numbers of pounds he will b
lesantik [10]

Answer:

12 lbs

Step-by-step explanation:

48/4 =12

5 0
3 years ago
Read 2 more answers
Three billion, four hundred million years old. Write in standard form and expanded form.
Brums [2.3K]
3,400,000,000 3,000,000,000+400,000,000
4 0
3 years ago
explain how the singular forms of morning, night, monday, and tuesday may be changed to the plural forms every-morning every-nig
Rus_ich [418]

Besides using the word "every" before the singular forms of the words above, they can also be changed to their plural forms by adding "s" behind them. For example "morning" becomes "mornings".

<h3>

Plural form of Morning in a Sentence</h3>

  • He works mornings. or
  • Mornings, I like to exercise.

Other examples related to the words above are:

  • The Tuesdays in March are going to be very busy.
  • The nights I spent on the voyage was blissful.

See the link below for more about the Plural forms:

brainly.com/question/586494

5 0
2 years ago
Other questions:
  • What is the simplified form of the expression? √32.√24​
    6·1 answer
  • Emily and a friend bought two tickets to see a soccer game. Each ticket cost $8.25. The friends paid a total of $24.50, which in
    5·1 answer
  • Which is the answer?
    8·2 answers
  • What is another way to arrange blicks
    9·1 answer
  • Can someone please help for brainlest
    5·1 answer
  • Brainliest for correct answer
    8·1 answer
  • You are at a coffee shop and notice that as the temperature of the room gets colder, more people order hot beverages. From this
    13·1 answer
  • WILL MARK BRAINLIEST IF CORRECT!
    14·1 answer
  • Discounted 40%. A weed eater originally sells for $145. How much will the weed eater
    13·1 answer
  • 40 POINTS PLEASE HURRY! Which table shows a set of ordered pairs that satisfies the equation shown?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!