Which of the following functions is graphed below?
(Picture included)

The graph of the equations 3x + 7y < 21,  x > 0, and  y > 0 are attached

The vertices are: (0, 0), (0, 3) and (7, 0) are identified in the graph

The regions that satisfy one or more inequalities can be seen when there are inequalities on a graph.

These inequalities are frequently linear and can be represented by straight line graphs.

To solve the inequalities, plot straight line graphs with either a solid line or a dashed line using the linear equations.

A solid line indicates that the line is present.

The line is not included if it is dotted.

The graphs for the equation is plotted and attached

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Means if a number is bigger than other number.

The value of x = 13

Each side of the equilateral triangle is: 27 units.

A triangle is classified or defined as an equilateral triangle if all its sides are of the same length. This means, all equilateral triangles have side lengths that are congruent.

Since triangle MNP is said to be an equilateral triangle, all its sides would be equal to each other. Therefore:

MN = NP = MP

Given the following:

MN = 4x - 25

NP = x + 14

MP = 6x - 51

Thus:

MN = NP

Substitute

4x - 25 = x + 14

4x - x = 25 + 14

3x = 39

x = 39/3

x = 13

MN = 4x - 25 = 4(13) - 25 = 27

MN = NP = MP

NP = 27

MP = 27

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The length of BD is 22.

In the given scenario, let's consider the following information.

AD = 8

AE = 6

EC is 12 more than BD.

To find the length of BD, we can utilize the Intercepted Arcs Theorem, which states that when two secants intersect outside a circle, the measure of an intercepted arc formed by those secants is equal to half the difference of the measures of the intercepted angles.

From the given information, we know that AD = 8 and AE = 6.

Since these are the lengths of the secants, we can use them to calculate the intercepted arcs.

First, let's find the intercepted arc corresponding to AD:

Intercepted Arc ADB = 2 \(\times\) AD = 2 \(\times\) 8 = 16

Similarly, we can find the intercepted arc corresponding to AE:

Intercepted Arc AEC = 2 \(\times\) AE = 2 \(\times\) 6 = 12

Now, we know that EC is 12 more than BD.

Let's assume the length of BD as x.

BD + 12 = EC

Now, let's consider the intercepted arcs theorem:

Intercepted Arc ADB - Intercepted Arc AEC = Intercepted Angle B - Intercepted Angle C

16 - 12 = Angle B - Angle C

4 = Angle B - Angle C.

Since Angle B and Angle C are vertical angles, they are congruent:

Angle B = Angle C.

Therefore, we can say:

4 = Angle B - Angle B

4 = 0

However, we have reached an inconsistency here.

The equation does not hold true, indicating that the given information is not consistent or there may be an error in the problem statement.

As a result, we cannot determine the length of BD based on the given information.

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To solve for x in the equation 4x3 = -5x - 21, we can follow these steps:

1. Move all the terms containing x to one side of the equation, and move the constant term to the other side. We can do this by adding 5x to both sides and then adding 21 to both sides:

   4x3 + 5x = -21

2. Factor out x from the left-hand side of the equation:

   x(4x2 + 5) = -21

3. Divide both sides by (4x2 + 5):

   x = -21 / (4x2 + 5)

So the solution for x is x = -21 / (4x2 + 5). Note that this is a rational function, which means that the value of x depends on the value of the variable x. This equation has no real solutions because the denominator is always positive, and the numerator is negative.

Answer:

64°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

let the third angle be x , then

x + 90° + 26° = 180°

x + 116° = 180° ( subtract 116° from both sides )

x = 64°

the other angle is 64°

Answer:

linear equation

Step-by-step explanation:

straight line form in the graph infinitely

Answer:

d

Step-by-step explanation:

can you help me with my question n Lucinda Matlock's description of the setting of Spoon River (Lines 15-18), Edgar Lee Masters uses the Modernist writer's convention of A characterization B. dialog C imagery. I will give you brainly

Answer:

THE ANSWER IS D

Step-by-step explanation:

A

P

E

X

Answer:

As the function has been shifted up by 2 and is less steep than the function f(x) = 3x-5.

Thus, option C is true. i.e. g(x)=x-3

Step-by-step explanation:

Given the function

\(f(x) = 3x-5\)

writing in the slope-intercept form

\(y = mx+b\)

where m is the line and b is the y-intercept

To move a function up, we need to add outside the function.

\(f(x) + b\) means  \(f(x)\) moved up 'b' units.

So, by shifting up by 2 means f(x) would become g(x)= 3x-5+2 = 3x-3

But, we have to find the function which is less steep, meaning having a slope less than 3.

so, the best-suited function that has been shifted up by 2 and is less steep than the function f(x) = 3x-5 will be:

A graph is also attached.

As the function has been shifted up by 2 and is less steep than the function f(x) = 3x-5.

Thus, option C is true.

The expression that uses the greatest common factor (GCF) to factor 24c-18 is option (a) 6(4c-3).

To factor the expression 24c-18 using the greatest common factor (GCF), we first identify the GCF of the coefficients 24 and 18, which is 6. We can then rewrite the expression as 6(4c-3).

The GCF represents the largest number that divides evenly into both 24 and 18. In this case, 6 is a common factor of both 24 and 18 because it divides both numbers without leaving a remainder. By factoring out the GCF, we simplify the expression and make it more manageable.

The resulting expression, 6(4c-3), demonstrates that the GCF, which is 6, can be multiplied by the expression (4c-3) to obtain the original expression 24c-18. This factored form provides a concise representation of the expression and highlights the common factor that is present.

In conclusion, option (a) 6(4c-3) correctly uses the GCF to factor 24c-18, demonstrating the application of the GCF concept in algebraic expressions.

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Answer:

Step-by-step explanation:

Use the slope-intercept form

y=mx+b

to find the slope m and y-intercept b.

Slope: −13

y-intercept: (0,−9)

The Present value is $6,139.132.

We have,

FV=100000, pmt = 4000, I =5%, n=10

So, The present value formula is

PV=FV / (1 + \(i)^n\)

So, PV =  100, 000 / (1+ 5/100\()^{10\\\)

PV = 100,000 / (1+ 0.05\()^{10\\\)

PV = 100, 000/ (1.05\()^{10\\\)

PV = 100,000 / 1.6288946

PV= $6,139.132

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Answer:

The commission rate is 15%

Step-by-step explanation:

commission = commission rate x sales

where the commission rate is expressed as a decimal.

In this case, the salesperson earned a commission of $345 for selling $2,300 in merchandise. Therefore, we have:

345 = commission rate x 2300

To solve for the commission rate, we can divide both sides by 2300:

commission rate = 345/2300

Simplifying this expression, we get:

commission rate = 0.15

So, the commission rate is 15%

Using the combination formula, it is found that these two positions can be filled in 780 ways.

The order in which the positions are filled is not important, for example, João and Elisa is the same outcome as Elisa and João, hence the combination formula is used to solve this question.

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by:

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

In this problem, two people are taken from a set of 40, hence the number of ways is given by:

\(C_{40,2} = \frac{40!}{2!38!} = 780\)

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Answer:.

Step-by-step explanation im not sure

Answer:

Step-by-step explanation:

47.)  sin20 = 6/b

b = 6(sin20) = 17.5

c = √6²+17.5² = 18.5

48.)  tan61 = y/18

y = 18(tan61) = 32.5

z = √18²+32.5² = 37.1

49.)  r = √25²+23² = 34

50).  d = √30²+7² = 30.8

51.)  sin71 = j/19

j = 19(sin71) = 18

k = √19²-18² = 6.2

52.)  y = √4²-1² = √7 = 2.6

53.)  sin49 = f/26

f = 26(sin49) = 19.6

h = √26²-19.6² = 17

54.)  t = √7²+4² = 8.1

Answer:

there is no question

Step-by-step explanation:

Answer:

560.3

hope it helps

The probability mass function (PMF) of N can be determined by finding the probability that N = k, for each k = 1, 2, 3, ....

Let p_k = P(N = k) be the probability that the first bid that is better than the initial bid X_0 is the kth bid. We can calculate p_k as follows:

p_k = P(X_k > X_0, X_1 < X_0, X_2 < X_0, ..., X_{k-1} < X_0) = P(X_k > X_0 | X_1 < X_0, X_2 < X_0, ..., X_{k-1} < X_0) * P(X_1 < X_0, X_2 < X_0, ..., X_{k-1} < X_0)

Since X_0, X_1, ... are independent and identically distributed, we have:

p_k = P(X_k > X_0) * (P(X_1 < X_0))^{k-1}

To find the mean E[N], we need to calculate the expected value of N. The expected value of N is given by:

E[N] = 1 * p_1 + 2 * p_2 + 3 * p_3 + ... = ∑_{k=1}^∞ k * p_k

Since p_k = P(X_k > X_0) * (P(X_1 < X_0))^{k-1}, we can write E[N] as:

E[N] = ∑_{k=1}^∞ k * P(X_k > X_0) * (P(X_1 < X_0))^{k-1}

To find E[N], we need to know the distribution of X_0, X_1, .... Unfortunately, without further information on the distribution of X_0, X_1, ..., it is not possible to determine the PMF of N or the mean E[N].

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Given: Merrill received a $21 tip on a meal that cost $144

To Determine: What percent of the meal cost was the tip?

Let the percentage tip be x. Then

x is calculated as shown below:

Hence, the percentage tip to nearest percent is 15

Answer:

if its A PACK then it would be 3 dollars but this is absolutely wrong i already know it LOL

Answer:

$63

Step-by-step explanation:

First, we find the percentage that he saves:

9 is 3/5 of 15 which is 60%, 9 is 60% of 15 which means he save 60% of the money that he earns so,

60% of 105 = 63

This means he saved $65 from the money he earned.

Hope this helps!

Option 3 yielded the most money after 10 years is 171.7

Option 1 yielded the most total money by the time you were 60 years old is 8,771.56

A solution of an equation is a value or set of values that satisfy the equation, meaning that when the value(s) is substituted for the variable(s) in the equation, both sides of the equation are equal.

Based on the given equations, Option 1 yielded the most money after 10 years, and Option 3 yielded the most total money by the time you were 60 years old.

After 10 years:

Option 1: 50×(1.09)¹⁰ - 30 =  88.36

Option 2: 50×(1.08)¹⁰ - 20 =  87.94

Option 3: 100×(1.07)¹⁰ - 25 =  171.71

Therefore, Option 3 yielded the most money after 10 years is 171.7

By the time you were 60 years old:

Option 1: 50×(1.09)⁶⁰ - 30 =  8,771.56

Option 2: 50×(1.08)⁶⁰ - 20 =  5,042.85

Option 3: 100×(1.07)⁶⁰ - 25 =  5,769.64

Therefore, Option 1 yielded the most total money by the time you were 60 years old is 8,771.56

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Answer:

clerk A and clerk B can simultaneously stock a shelf in 180/13 minutes

Step-by-step explanation:

Let the first clerk be A and the second clerk be B

A can stock a shelf in 20 min

B can stock a shelf in 45 min

Consider the complete work to be W

A’s rate of stocking =  per minute

B’s rate of stocking =  per minute

When, A and B work simultaneously, rate of work done =

Total work done simulatenously =  180/13

Therefore, clerk A and clerk B can simultaneously stock a shelf in 180/13  minutes

Answer:

Step-by-step explanation:

The rate of each clerk is 1/25 and 1/45 respectively so together they can stock the shelf

t/25+t/45=1 (the least common multiple of 25 and 45 is 225)

t/25(9/9)+t/45(5/5)=1

(9t+5t)/225=1

9t+5t=225

14t=225

t=225/14 min

t=16 minutes (rounded to nearest minute)

( or 16 minutes and about four seconds :) )

The probability of landing on the dark blue target is 2/5.

Probability is the ratio of required to the total possible outcomes of an event.

P(dark blue ) = 40/100

divide through by 20

P(dark blue ) = 2/5

Therefore, the probability of landing on target is 2/5

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The Propositions are resulting

(a) ∀x∃y(x = y²) is False

(b) ∀x∃y(x² = y) is True.

(c) ∃x∀y(xy = 0) is True.

(d) ∀x∃y(x + y = 1) is True.

(a) ∀x∃y(x = y²)

This proposition states that for every x, there exists a y such that x is equal to y². To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any positive value for x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4 = 2². Similarly, if x = 9, then y = 3 satisfies the equation since 9 = 3².

Therefore, the proposition (a) is false.

(b) ∀x∃y(x² = y)

For any given positive or negative value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4² = 2. Similarly, if x = -4, then y = -2 satisfies the equation since (-4)² = -2.

Therefore, the proposition (b) is true.

(c) ∃x∀y(xy = 0)

The equation xy = 0 can only be satisfied if x = 0, regardless of the value of y. Therefore, there exists an x (x = 0) that makes the equation true for every y.

Therefore, the proposition (c) is true.

(d) ∀x∃y(x + y = 1)

To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 2, then y = -1 satisfies the equation since 2 + (-1) = 1. Similarly, if x = 0, then y = 1 satisfies the equation since 0 + 1 = 1.

Therefore, the proposition (d) is true.

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