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
Scorpion4ik [409]
3 years ago
9

Consider the function f(x) = -2x2 +3x-8. Determine f(k+4). Fully simplify your answer.

Mathematics
1 answer:
Vaselesa [24]3 years ago
5 0

Answer:

f(k + 4) = -2k² - 13k - 28

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Distributive Property

<u>Algebra I</u>

  • Terms/Coefficients
  • Expand by FOIL
  • Functions
  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

f(x) = -2x² + 3x - 8

<u>Step 2: Evaluate</u>

  1. Substitute in <em>x</em> [Function f(x)]:                                                                           f(k + 4) = -2(k + 4)² + 3(k + 4) - 8
  2. Expand [FOIL]:                                                                                                  f(k + 4) = -2(k² + 8k + 16) + 3(k + 4) - 8
  3. [Distributive Property] Distribute:                                                                    f(k + 4) = -2k² - 16k - 32 + 3k + 12 - 8
  4. Combine like terms:                                                                                         f(k + 4) = -2k² - 13k - 28
You might be interested in
Last one I promise plz help
yuradex [85]

Answers:

Perimeter = 58.5 centimeters

Area = 163.15 square centimeters

===============================================

Explanations:

To get the perimeter, you add up the three exterior (aka outer) sides. So you add up everything but the length measuring 13 cm, as this segment is not on the outside of the triangle. Imagine this is a parking lot and you want to put fencing around the outer sides. You won't build any fencing to run through the middle of the lot (assuming you don't want to subdivide)

So we add up 15.4, 18 and 25.1 to get 15.4+18+25.1 = 58.5 centimeters. The units stay at centimeters. We don't go to "square centimeters" like we do with the area below.

------------

To get the area of the largest triangle, we multiply the base and height, then divide by 2. The base is always perpendicular to the height

base = 25.1

height = 13

area = base*height/2 = 25.1*13/2 = 163.15 square cm

You write "square" before the "cm" to indicate the proper units for the area. Think of a 1 cm by 1 cm rectangle which has area of 1*1 = 1 square cm. This idea applies to triangles as well because we can subdivide the triangle into smaller squares, or you can move one piece of a triangle to another side to reshape the figure into a rectangle.

4 0
3 years ago
What is the value of y? Assume that the line is tangent to the circle
Misha Larkins [42]

Answer:

c 120

Step-by-step explanation:

I'm thinking isit is c120

7 0
3 years ago
A baseball team has 4 ​pitchers, who only​ pitch, and 16 other​ players, all of whom can play any position other than pitcher. F
ivolga24 [154]

Answer:

2,075,673,600 batting orders may occur.

Step-by-step explanation:

The order of the first eight batters in the batting order is important. For example, if we exchange Jonathan Schoop with Adam Jones in the lineup, that is a different lineup. So we use the permutations formula to solve this problem.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!}

First 8 batters

8 players from a set of 16. So

P_{(16,8)} = \frac{16!}{(16 - 8)!} = 518918400

Last batter:

Any of the four pitchers.

How many different batting orders may​ occur?

4*518918400 = 2,075,673,600

2,075,673,600 batting orders may occur.

5 0
3 years ago
What is they y intercept and why?
Olenka [21]

Answer:

The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept.

Step-by-step explanation:

The y-intercept of this line is the value of y at the point where the line crosses the y axis.

8 0
3 years ago
Read 2 more answers
There are 8 red marbles and 32 blue marbles in a jar. What is the ratio of red marbles to blue marbles?
andrey2020 [161]
8:32 simplyfies to 1:4 .....there is your answer   1:4
3 0
3 years ago
Read 2 more answers
Other questions:
  • The data below represent the weight losses for people on three different exercise programs.
    14·1 answer
  • 26% rounds to 25%, which is equivalent to what fraction?
    14·2 answers
  • A $22 item has been marked up 15%. What is the new price?
    5·2 answers
  • 5a^2-15 using the distributive property
    15·1 answer
  • Plz helppp I need help on this
    6·2 answers
  • What are the answers for 6.,7., and 8. Tell me how please as well
    9·1 answer
  • Use the graph to answer questions q- 11.
    6·1 answer
  • GIVING THANKS AND BRAINLIEST FOR BEST ANSWER &lt;3<br> ::::::::
    8·1 answer
  • Need help on this.. The first one that answer it first correctly gets a BRANLIST​
    5·2 answers
  • Jordan is making a scale model of the Hanging Gardens of Babylon, one of the seven wonders of the ancient world. The actual gard
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!