is the relation shown below a function? Use the graph below to justify your response.
(0, 0), (2, 0), (2, 2), and (3, 4)
9
8
7
6
S
4
3
2
y
01
OA
4 5 6 7 8 9
G
Yes; Each x-value has a unique y-value.
Yes; Each y-value has a unique x-value.
No: Two points have different y-values for the same x-value of 2.
No: Two points have different x-values for the same y-value of 2.
Helppppp pls

The value of x for the given equation is -20 .

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given equation is,

(5/3)x+(1/3)x=13(1/3)+(8/3)x

Solve equation, to find the value of x,

(5/3+1/3)x=13(1/3)+(8/3)x

-13(1/3)=(8/3)x-(5/3+1/3)x

-40/3=(8/3-2)x

1.(-40/3)=1.(2/3)x

-20=x

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standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

[tex]y=-\cfrac{2}{3}x-1\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}}{3(y)=3\left( -\cfrac{2}{3}x-1 \right)} \\\\\\ 3y=-2x-3\implies {\Large \begin{array}{llll} 2x+3y=-3 \end{array}}[/tex]

Answer:

y= -7/2x-20

Step-by-step explanation:

parallel line so same slope

the equation given is in y=mx+b form so take out m:

m= -7/2

now input the coordinates and slope(m) given into y=mx+b to find b:

-6=-7/2(-4)+b

-6=28/2+b

-6=14+b

-6-14=b

b=-20

now write equation using slope(m) and y intercept(b)

y= -7/2x-20

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The equation in point-slope pass through the given point will be y = -7/2x-20

Equations are mathematical expressions that have two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.

The same slope due to a parallel line,

Take away m from the above equation since it is in the y = mx+b form:

m= -7/2

Now, enter the given coordinates and slope(m) into y=mx+b to determine b:

-6 =-7/2 (-4) + b

-6 = 28/2 + b

-6 = 14 + b

b = -20

Slope(m) and y-intercept are now used to create an equation (b),

y = -7/2x-20

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The inequality shown on the number line is -3 < x ≤ 2

Inequality means when the two values that are not equal is defined by inequalities. Inequality means unequal.

When two values are not equal we will greater than or less than sign .

" < " means less than

" >" means greater than

"≤ " means less than and equal to

"≥ " means greater than and equal to

(a) Inequality -4 < n ≤ 5

here , -4 is not included so, the Number line starts from -3

5 is included so, number line will end on 5

(b) The number line shows ,

line is starting from -3 but the dot is not filled means it is not included

The line ends at 2 so,

Inequality is -3 < n ≤ 2

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Number of solutions for the given linear quadratic equation y = x² and

y = 2x+ b is equal to 2.

b. As we change the value of b solution of the linear system of equation get modify. For example b = 0 it passes through origin.

As given in the question,

Given linear quadratic equations are:

y = x² and

y = 2x+ b

⇒ x² = 2x + b

⇒ x² -2x -b = 0

Number of solutions depends on :

Discriminant 'D'  = b² -4ac

Here a = 1 , b = -2 , c= -b

D = (-2)² - 4(1)(-b)

  = 4 + 4b

If D > 0 there are two real solutions.

If D = 0 there is only one solution.

If D < 0 there is no solution.

Value of D depends on the value of 'b' .

Linear quadratic equation has two solutions if D > 0.

Graph is attached for the given quadratic equations.

Therefore, number of solutions for the given linear quadratic equation y = x² and y = 2x+ b is equal to 2.

b. As we change the value of b solution of the linear system of equation get modify. For example b = 0 it passes through origin.

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The George's integer must be true for option D)I and IV.

What is integer?

 A full number (not a fraction) that can be positive, negative, or zero is called an integer . -5, 1, 5, 8, 97, and 3, 043 are some examples of integers. 1.43, 1 3/4, 3.14, and other numbers are examples of non-integer numbers. Integer, which means full or whole in Latin, is the root of the English term integer. A particular category of numbers called integers includes zero, positive numbers, and negative numbers. All whole numbers, both negative and positive, and 0 are considered integers.

Here the opposite of George integer is -53.

We know that opposite value of x is -x.

Then George integer is 53.

George integer must be true for The given options I. the integer is 53 and IV.The integer has absolute value of 53.

Therefore the correct option is  D) I and IV.

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Total earning = Salary + 10% of sales

According to question, we have

14000 = 9500 + 10% of sales

4500 = 0.1 sales

sales = 4500*10 = 45000

So, her total sales was Rs 45000

Answer:

51

Step-by-step explanation:

The segments are indicated to be congruent.

[tex]3x+9=5x-19 \\ \\ 9=2x-19 \\ \\ 2x=28 \\ \\ x=14 \\ \\ \implies AB=3(14)+9=51[/tex]

3x + 9 = 5x - 19

+ 19           + 19

3x +28 = 5x

- 3x            -3x

28 = 2x

÷2     ÷2

14 = x

3x + 9

= 3(14) + 9

= 42 + 9

Answer:17

Step-by-step explanation:

Answer: 41.7 feet from pitcher to 1st

13.2 feet from pitcher to 2nd

58 degrees to turn from home to 1st

distance from pitcher to the line from home to 1st is 57.5(sin45) = 57.5(.707) = 40.66

construct a right triangle with legs 40.66 and 50-40.66 = 9.34.  then sum the legs' squares, and take the square root to get 41.72 feet

distance from home to 2nd = hypotenuse of a right triangle with sides 50 and 50, and angle of 45 degrees

50^2 + 50^2 = 2(2500) = 5000.  sqr5000= 70.71,  subtract 57.5.    70.71-57.5= 13.21 feet from pitcher to 2nd

Step-by-step explanation:

Tanya, who has a Bronze level plan and only goes to the doctor once a year for an annual exam, is likely to pay the least for healthcare. The correct option is A.

Health care refers to the maintenance or improvement of an individual's physical or mental health through the prevention, diagnosis, and treatment of illness, injury, or disease. It encompasses a range of services provided by healthcare professionals.

Based on the information provided, Tanya, who has a Bronze level plan and only goes to the doctor once a year for an annual exam, is likely to pay the least for healthcare.

Bronze level plans typically have lower monthly premiums but higher out-of-pocket costs for healthcare services, such as copays, deductibles, and coinsurance.

Since Tanya only goes to the doctor once a year, she is unlikely to meet her deductible or incur significant out-of-pocket costs.

In contrast, options B, C, and D involve more frequent or more serious healthcare needs, which would likely result in higher out-of-pocket costs for healthcare services.

Thus, the correct option is A.

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Answer:

Graph

Step-by-step explanation:

graph the line x=1 (vertical line passing through point (1,0))with a dotted line and shade everything to the right of the line. Then graph the line y=x (line with slope 1 passing through origin) with a dotted line, shading everything above the line.

The gcf of 25 and 60 is 5

the lcm of 25 and 60 is 300

The process of determining which prime numbers combine to form the original number is known as prime factorization.

Prime factorization of 25 = 5 * 5

Prime factorization of 60 = 2 × 2 × 3 × 5

the greatest common factor, gcf of 25 and 60 is 5

The lowest common multiple, lcm of 25 and 60

= 2 * 2 * 3 * 5 * 5

= 300

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Answer:

4%12

Step-by-step explanation:

The probability that at least one of the cards drawn is a 3 is 1/5 0r 0.2000.

What is probability?

Probability shows the likelihood of an event happening.  It can be calculated by dividing the number of outcomes of an event by the total number of possible outcomes or sample space. Probability is equal to '1' when the event is certain to occur. i.e P =1. It is less than '1' when it is not likely to occur. i.e P< 1

Probability P=no. outcomes/total no. of the possible outcomes

From the question;

No. of total no of cards =5

The probability the card drawn is a 3  =1/5

                                                             =0.2000

Therefore the probability that at least one of the cards drawn is a 3 is 1/5 0r 0.2000.                      

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The solution of this Algebraic Equation is -1.0

What is an Algebraic Equation?

An algebraic equation is a mathematical statement which establishes two expressions equal to each other. An algebraic equation is generally composed of a variable, coefficients, and constants.

Solution:

According to the question,

the algebraic equation given is,

(8.7 + x)/1.1 = 7

By cross multiplying

8.7 + x = 7.7

x = -1.0

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The speed of the plane is 252 miles per hour and the speed of the wind is 28 miles per hour .

In the question ,

it is given that ,

the airplane covers the distance of 560 miles in 2 hours with the wind,

So , the speed of the airplane with the wind is 560/2 = 280 miles per hour

also given that

airplane covers the distance of 560 miles in 2.5 hours against the wind ,

So , the speed of the plane with the wind = 560/2.5 = 224 miles per hour .

let the speed of the airplane be "a" miles per hour ,

and let the speed of the wind be "b" miles per hour ,

So , equation of speed  with the wind is denoted by

a + b = 280

and the equation of speed against the wind is denoted by

a - b = 224

Adding both the equations , we get

2a = 504

a = 504/2

a = 252 miles per hour

and b = 280 - 252 = 28 miles per hour .

Therefore , The speed of the plane is 252 miles per hour and the speed of the wind is 28 miles per hour .

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Answer:

(-2, 3 1/3)

2nd one

Step-by-step explanation:

2/3*-3=-2 so x=-2

2/3*5=10/3= 3 1/3 so y= 3 1/3

(-2, 3 1/3)

The required value of the expression (2x − 12) + (1/2 xy - 10) for x = 8 and y = 2 is 2. Option D is correct.

First, let us understand the algebraic expression and how is it formed:

A multitude of strategies is used to build algebraic expressions utilizing variables and constants. It is a term-based mathematical expression that comprises variables, constants, and algebraic operations such as addition, subtraction, and so on.

We are given:

(2x − 12) + (1/2 xy - 10)

We need to find the value of the given expression for x = 8 and y = 2.

Substitute the values of x and y in the given expression, we will get;

(2 * 8 − 12) + (1/2 * 8 * 2 - 10)

= (16 − 12) + (8 - 10)

= 4 + (-2)

= 4 - 2

= 2

So, the obtained value is 2.

Thus, the required value of the expression (2x − 12) + (1/2 xy - 10) for x = 8 and y = 2 is 2. Option D is correct.

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The probability that at least five wear sunglasses is 0.9464

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty. The higher the probability of an event, the more likely it is that the event will occur. A simple example is the tossing of a fair (unbiased) coin. Since the coin is fair, the two outcomes ("heads" and "tails") are both equally probable; the probability of "heads" equals the probability of "tails"; and since no other outcomes are possible, the probability of either "heads" or "tails" is 1/2 (which could also be written as 0.5 or 50%).

In a random sample of 10 adults, the probability that at least five wear sunglasses

P(X ≥ 5) = P(X = 5) + P(X = 6 ) + P(X=7) + P(X=8) + P(X=9) + P(X=10)

P(X ≥ 5) = 10[tex]C_{5}[/tex] × [tex](0.7)^{5}[/tex]×[tex](0.3)^{5}[/tex] +  10[tex]C_{6}[/tex]×[tex](0.7)^{6}[/tex]× [tex](0.3)^{4}[/tex]+ 10[tex]C_{7}[/tex]×[tex](0.7)^{7}[/tex]×[tex](0.3)^{3}[/tex] + 10[tex]C_{8}[/tex]× [tex](0.7)^{8}[/tex]×[tex](0.3)^{2}[/tex] +10[tex]C_{9}[/tex] ×[tex](0.7)^{9}[/tex]×[tex](0.3)^{1}[/tex]+10[tex]C_{10}[/tex]×[tex](0.7)^{10}[/tex]×[tex](0.3)^{0}[/tex]

P(X ≥ 5) = 0.9464

The probability that at least five wear sunglasses is 0.9464

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The train will catch up with the dog in 1.996 seconds

The problem is solved using the formula for speed which is

distance / time

speed of the train = length of track / time

= 1900 / 40

= 475 m/s

speed of the dog is given to be 6 m/s

The relative velocity = 475 - 6 = 469 m/s

The time to catch up is calculated using relative velocity

469 * time = 936 meters

time = 936 / 469

= 1.996 seconds

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Answer:

Simplest form = -w - 2

Step-by-step explanation:

Given expression,

→ -24 - 12w

→ -12w - 24

Simplifying the expression,

→ -12w - 24

→ (-12w - 24)/12

→ -w - 2

Hence, the answer is -w -2.

Answer:

B

Step-by-step explanation:

product means multiplication and quotient is division , then

product of 8 and the quotient of 6 and w is

8 ([tex]\frac{6}{w}[/tex] )

The expression that represents the width of the box is (x - 1) , the correct option is (b) .

In the question ,

it is given that ,

the Volume of the rectangular prism is = x³ + 9x² + 6x – 16

the measure of the length of the box = x+2

the measure of the height of the box = x+8

formula for Volume of Prism is

Volume = l × w × h

where l = length of the prism,

w = width of the prism and

h = height of the prism.

Substituting the values ,

we get ,

x³ [tex]+[/tex] 9x² [tex]+[/tex] 6x – 16 [tex]=[/tex] (x [tex]+[/tex] 2) * (x [tex]+[/tex] 8) * width

On dividing the equation  (x³ + 9x² + 6x – 16) with (x+2)

and then dividing the result with (x+8) , we get

width = (x-1) .

Therefore , The expression that represents the width of the box is (x - 1) , the correct option is (b) .

The given question is incomplete , the complete question is

The volume of a rectangular prism is represented by the function x³ + 9x² + 6x – 16. The length of the box is x + 2 while the height is x + 8. Find the expression representing the width of the box

(a) x - 4

(b) x - 1

(c) x + 1

(d) x + 4

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Answer:

B

Step-by-step explanation:

Asked my teacher to help me.

Answer:

The conclusion is false.

Step-by-step explanation:

If the conclusion is false, then the whole conditional is false even if the hypothesis is true.

Answer: 9+6i√5

Step-by-step explanation:

√4 + √−45 + √49 + √−45

2 + √45i + 7 + √45i

9 + 3i√5 + 3i√5

9+6i√5

The required solution is 24.4 to the given numerical expression 8.54 ÷ 0.35.

In mathematics, divides left-hand operands into right-hand operands in the division operation.

The numerical expression is given in the question as:

8.54 ÷ 0.35

We have to determine the solution to the given expression

As per the question,

8.54 ÷ 0.35

8.54 / 0.35

(854/100) / (35/100)

Reciprocal the terms of numerator

854/100 × 100/35

854/35

Apply the division operation to get the solution

24.4

Thus, the required solution is 24.4 to the given numerical expression.

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4.21 x 10-9) (7.8 x 1015) = 32.838 * 10^6" ; the correct option is second.

4.21 * 10 ^ -9 * 7.8 * 10 ^ 15 = 32.838 * 10^6

so the correct option is second

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Answer:

-41.79

Madeline was overdrawn $41.79.

Step-by-step explanation:

If she deposited $29.06 a week for 8 weeks, she put

8 × 29.06

= 232.48

$232.48 into her account. But they're saying she now has only $190.69. Some of the money went to payback the negative balance she had.

Balance+232.48=190.69

Balance=190.69-232.48

Balance = -41.79

Madeline had a negative balance of $41.79.

Answer:

20 dollar tip (rounded) assuming the bill is 68.37

Step-by-step explanation:

just multiply 68.37 by 0.25, and you get 17.09 or 20 dollars rounded to TENS place.