Mathematics College

Can you please help me with exercise number 3. I'm having trouble with algebra 2 doing online school.

Answers

Answer 1

Given the expression:

$\text{ (x + 25)}^2$

Let's expand the expression into a perfect square trinomial.

$ax^2\text{ + bx + c}$

We get,

$\text{ (x + 25)}^2$$(x)(x)\text{ + (25)(x) + (x)(25) + (25)(25)}$

$\text{ x}^2\text{ + 25x + 25x + 625}$$\text{ x}^2\text{ + 50x + 625}$

Since the c-value in the perfect square trinomial is the constant in the equation, therefore, the c-value is 625.

Related Questions

positive continous random variable with disbution and density we define in class the expected value to be prove, that given this definition:

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Continuous random variable is a random variable that can take on a continuum of worth. In alternative words, a random variable is said to be continuous if it supposes a value that falls between a particular interval.

A continuous random variable can be described as a random variable that can take on an infinite number of possible values. Due to this, the probability that a continuous random variable will take on a fixed value is 0.

The probability density function of a continuous random variable can be explained as a function that gives the probability that the value of the random variable will drop between a range of values. Let X be the continuous random variable, then the formula for the pdf, f(x).

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Hercules crawled on fifth of a mile in a one tenth of an hour. find the rate in miles per hour

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In linear equation, 2 miles per hour is the rate in miles per hour .

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

Divide the distance by the time.

(1/5 miles) / (1/10 hour)

= 10(1/5) miles per hour

= 2 miles per hour

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Object A is moving at 30 ft per sec. Object B is moving at 20 mph.

Answers

Answer:

what we have to find or to prove.

need the answer to this asap pls

1. Two ranger stations located 10 km apart on the southwest and southeast corners of a
national park. They receive a distress call from a camper. Electronic equipment allows
SW ranger to determine that the camper is at a location that makes an angle of 61°
with the southern boundary. Another beacon allows the SE ranger see that the
camper is 9.2 km to the northwest of his position. What is the measure of the angle
made by the line from the camper to the SW station and the line from the camper to
the SE station? Round your answer to the nearest thousandth.

Answers

Answer:

search it up

Step-by-step explanation:

Answer:71.929

Step-by-step explanation:

Sin-1(10sin(61)/9.2) = 71.929

If there is a 4:6 ratio of dogs to cats in the store. What percentage of the store are dogs?

Answers

60% of the store is dogs.

Answer:

40 % dogs

Step-by-step explanation:

if ratio = 4:6

the store =10:0

10=100%

1=10%

4=40%

6=60%

40:60

40%:60%

Solve the system of equations by substitution.
5x + y =18
Y=4x

Answers

Answer:

x =2 y= 8

Step-by-step explanation:

The cost and revenue are defined, in dollars, as C(x) = 30x + 100 and R(x) = -x2 + 90x.

Required:
a. Find and simplify the profit function, defined by P(x).
b. Use a. to find the marginal profit function.

Answers

Answer:

a) The profit function is $P(x) = -x^{2}+60\cdot x -100$, b) The marginal profit function is $P'(x) = -2\cdot x + 60$.

Step-by-step explanation:

a) Let be $C(x) = 30\cdot x + 100$ (cost function) and $R(x) = -x^{2}+90\cdot x$ (revenue function), the profit function is found by subtracting the cost function from the revenue function. That is:

$P(x) = R(x)-C(x)$

$P(x) = -x^{2}+90\cdot x -(30\cdot x + 100)$

$P(x) = -x^{2}+90\cdot x -30\cdot x -100$

$P(x) = -x^{2}+60\cdot x -100$

b) The marginal profit function is the first derivative of the profit function:

$P'(x) = -2\cdot x + 60$

15)
136⁰
2
S
?
R
Find the measure of the arc or angle indicated

Answers

Answer:

224

Step-by-step explanation:

360.-136.

15. Bradley has a goal to work 28 hours each week at the pizza shop. So far he has
worked 12 hours. How many more hours does he need to work to meet his goal?
70

Answers

16

28-12=16

He needs 16 more hours of work to complete

each function
f(x)=-4x-5;
ion for
Find ƒ(1)
for the given

Answers

When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

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. The length of the long-distance calls made by the employees of a company followed a normal distribution with a mean of 6.5 minutes and a standard deviation of 2 minutes. a. What is the probability that a call lasts less than 4 minutes

Answers

Answer:

The probability that a call lasts less than 4 minutes

P(X<4) = P(Z<-1.25) = 0.1056

Step-by-step explanation:

Step(i):-

Given mean of the population = 6.5 minutes

Given standard deviation of the Population = 2 minutes

Let 'X' be the random variable in normal distribution

Given X = 4

$Z= \frac{x-mean}{S.D} = \frac{4-6.5}{2} = -1.25$

Step(ii):-

The probability that a call lasts less than 4 minutes

P(X<4) = P(Z<-1.25)

= 1-P(z>1.25)

= 1 - ( 0.5 +A(1.25)

= 1-0.5 - A(1.25)

= 0.5 - 0.3944 ( from normal table)

= 0.1056

Final answer:-

The probability that a call lasts less than 4 minutes

P(X<4) = P(Z<-1.25) = 0.1056

Add -73 + 28.
0-91
0-55
0-45

Answers

-45, since 73-28=45 (then you reinforce your negative no.)

For the polynomial x^3-7x^2+12x-6, 1 is a zero. Express g(x) as a product of linear factors.

Answers

Answer:

(x–1)(x²–6x+6)

Explanation:

Given that 1 is a zero, we can use synthetic division to compute the factor.

If 1 is a zero (x–1) is a factor.

Here is the process:

| 1 | 1 -7 12 -6

↓ +(1) +(-6) +(6)

↓ ↓ ↓

1 -6 6 0

→ [1]x² + [-6]x + [6]1 + [0]/x–1 =

x² – 6x + 6.

Therefore the factors are (x–1)(x²–6x+6)

SOMEONE HELP IM STUCK PLEASE HURRY

Answers

Answer:

I got a question like that, so the answer is most likely "c"

Answer:

Option C

Step-by-step explanation:

3 subtracted from the product of 7 and number b

ABC~A'B'C'. Their scale factor is 7:9. If the perimeter of smaller ABC is 42, then the
perimeter of A'B'C' is.

Pls hurry!!

Answers

Answer:

Step-by-step explanation:

ratio is 7:9

7=42

9=?

9×42÷7

Ehhh what is 2+2+9+9+0+2x0+2 dvided by 8 and 234898529 x 2340 i need a full explanation

Answers

Answer:

2+2=4

9+9+4=22

22+0=22

2×0=0

22+2=24÷8=3

Answer:

1. 0

2. 549662557860

Step-by-step explanation:

Well 2+2+9+9+0+2x0+2 is 0 because anything time 0 is 0 so then you do 0 divided by 8 which is 0. Then 234898529 x 2340 is 549662557860 is you add the commas then... 234,898,529 x 2,340 is 549,662,557,860

in three to five sentences explain your understanding of the algorithm express the algorithm in either detailed pseudocode or in program code establish the running time complexity of the algorithm by explaining how you arrived at it.

Answers

An algorithm for navigating or searching through tree or graph data structures is called depth-first search. The algorithm begins at the root node (choosing an arbitrary node to serve as the root node in the case of a graph) and proceeds to investigate each branch as far as it can go before turning around.

Thus, the basic concept is to begin at the root or any other random node, mark that node, then advance to the next nearby node that is not marked. This process is repeated until there are no more adjacent nodes that are unmarked. Then go back and look for more unmarked nodes to cross. Print the path's nodes lastly.

To solve the issue, adhere to the instructions listed below:

Make a recursive function that accepts a visited array and the node's index.

STEP -1

// C++ program to print DFS traversal from

// a given vertex in a given graph

#include <bits/stdc++.h>

using namespace std;

// Graph class represents a directed graph

// using adjacency list representation

class Graph {

public:

map<int, bool> visited;

map<int, list<int> > adj;

// function to add an edge to graph

void addEdge(int v, int w);

// DFS traversal of the vertices

// reachable from v

void DFS(int v);

};

void Graph::addEdge(int v, int w){

adj[v].push_back(w); // Add w to v’s list.}

void Graph::DFS(int v)

{

// Mark the current node as visited and

// print it

visited[v] = true;

cout << v << " ";

// Recur for all the vertices adjacent

// to this vertex

list<int>::iterator i;

for (i = adj[v].begin(); i != adj[v].end(); ++i)

if (!visited[*i])

DFS(*i);

}

// Driver's code

int main()

{

// Create a graph given in the above diagram

Graph g;

g.addEdge(0, 1);

g.addEdge(0, 2);

g.addEdge(1, 2);

g.addEdge(2, 0);

g.addEdge(2, 3);

g.addEdge(3, 3);

cout << "Following is Depth First Traversal"

" (starting from vertex 2) \n";

// Function call

g.DFS(2);

return 0;

STEP- 2

Time complexity: O(V + E), where V is the number of vertices and E is the number of edges in the graph.

Auxiliary Space: O(V), since an extra visited array of size V is required.

Pseudocode:

Depth_First_Search(matrix[ ][ ] ,source_node, visited, value)

{

If ( sourcce_node == value)

return true // we found the value

visited[source_node] = True

for node in matrix[source_node]:

If visited [ node ] == false

Depth_first_search ( matrix, node, visited)

end if

end for

return false //If it gets to this point, it means that all nodes have been explored.

//And we haven't located the value yet.

}

final answer-

A tree data structure or a graph's vertices can be searched using a recursive technique called t. Beginning with the first node of graph G, the depth-first search (DFS) algorithm digs down until it reaches the target node, also known as the node with no children.

The DFS method can be implemented using a stack data structure due to its recursive nature. The DFS algorithm implementation procedure is comparable to that of the BFS algorithm.

The following describes how to implement DFS traversal step-by-step. -

Create a stack with all of the graph's vertices in it first.

Select whatever vertex you want to use as the first vertex in the traverse, and add it to the stack.

uses for the DFS algorithm

The following list of uses for the DFS algorithm includes:

The topological sorting can be implemented using the DFS algorithm.

It can be applied to determine the routes connecting two vertices.

It can also be used to find graph cycles.

DFS technique is also applied to puzzles with a single solution.

If a graph is bipartite or not, it can be determined using DFS.

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A trail map has a scale of 3 inches to 2 miles. On the map, a trail is 5 1/4 inches long.

5 1/4 inches long.

How long is the actual trail?

A. 1 and 3/4 miles
B. 2 and 5/8 miles
C. 3 and 1/2 miles
D. 7 and 7/8 miles

Answers

Answer: the answer is C

Step-by-step explanation:

On the map, a trail is 5 1/4 inches long, its actual length is 3 and 1/2 miles. Option C is correct.

As given that, A trail map has a scale of 3 inches to 2 miles. To determine the actual length of the measure 5 1 / 4 inches in miles.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
3 inches = 2 miles
1 inches = 2 / 3 miles
multiply both side by 5 1/4 = 21 / 4
21 / 4 inches = 21 / 4 * 2 / 3 miles
21 / 4 inches = 3 1/2 miles

Thus, on the map, a trail is 5 1/4 inches long, and its actual length is 3 and 1/2 miles. Option C is correct.

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what is 38-12x3 equal

Answers

Answer: 2

Step-by-step explanation: 12 x 3 first becuase pemdas

The diagram shows a triangle.
31° / 6x / x+16°

What is the value of x?

Answers

Step-by-step explanation:

31 + 6x + x + 16 = 180

7x + 47 = 180

7x = 180 - 47

x = 133/7

x = 19

Shopping at discount clothing stores can save you a lot of money. Felicia recently bought a jacket
at a discount store for $20 that would normally cost $60 at a retail store. What percent discount
off the retail price did Felicia get the jacket for?

Answers

Answer:

33.33%

Step-by-step explanation:

use a proportion

20/60 =10/30=1/3=33.333%

hope this helped!

Solve x^2 + 6x + 15 = 0 using the Quadratic Formula

Answers

I hope the following helps!!

Solve x^2 + 6x + 15 = 0 using the Quadratic Formula

A small acting club has 8 members. Two of the members are to be chosen for a trip to see a Broadway play. How many different 2 -member groups are possible?

Answers

The different 2-member groups that are possible is 28

How to determine the different 2 -member groups that are possible

From the question, we have

Total number of members, n = 8

Numbers to selection, r = 2

The number of ways of selection could be drawn is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 8 and r = 2

Substitute the known values in the above equation

Total = ⁸C₂

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 8!/(6! * 2!)

Evaluate

Total = 28

Hence, the number of ways is 28

Answers

Answer:

slope 2/5

y-intercept (0,2)

Step-by-step explanation:

please awnwer this eeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

7,8.5

Step-by-step explanation:

Answer: First, take a picture that isn't blurry

Step-by-step explanation: Re-post so I can help Mr. or Ms. eeeeeeeeeeeeeeeeeeeeeeeeee

If G = {(-1, 7),(-8, 2),(0, 0),(6, 6)), then the range of G is

(7, -1),(2, -8),(0, 0),(6, 6)}

(-8,-1, 0,6)

(0, 2, 6, 7)

Answers

9514 1404 393

Answer:

(0, 2, 6, 7)

Step-by-step explanation:

The range is the list of 2nd numbers in the ordered pairs:

(0, 2, 6, 7)

Solve the inequality.

p + 14 ≥ 2

Answers

Answer:

p $\geq$ -12

Step-by-step explanation:

Subtract 14

p $\geq$ -12

The solution to the inequality from the information given is p ≥ -12

What is inequality?

Inequality shows the relationship between two expressions and this relationship is identified by using the inequality signs (<, >, ≤, ≥).

The solution to the inequality p + 14 ≥ 2 can be determined by having the variables on one side and the numbers on the other side. To do that:

Let us subtract 14 from both sides of the equation we have:

p + 14 - 14 ≥ 2 - 14

p ≥ -12

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Which of the following sets of numbers is a Pythagorean triple?

Answers

Answer:

12,16,20

Step-by-step explanation:

because in Pythagoras theorem m/2

Solve 2^x-2=8^4 but not solving for x

Answers

Without explicitly solving for x, we can conclude that the solution to the equation 2^x - 2 = 8^4 is x = 12.

To solve the equation 2^x - 2 = 8^4 without explicitly solving for x, we can simplify the equation using exponent rules and observe the relationship between the numbers.

First, let's simplify the equation:

2^x - 2 = 8^4

We know that 8 can be expressed as 2^3, so we can rewrite the equation as:

2^x - 2 = (2^3)^4

Applying the exponent rule (a^m)^n = a^(mn), we can simplify further:

2^x - 2 = 2^(34)

Simplifying the right side of the equation:

2^x - 2 = 2^12

Now, we can observe that both sides of the equation have the same base, which is 2. In order for the equation to hold true, the exponents must be equal:

x = 12

Therefore, we may deduce that the answer to the equation 2x - 2 = 84 is x = 12 without having to explicitly solve for x.

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