can someone explain how that's possible ​

Point (4,4) is the only ordered pair that satisfies both equations y = (1/4) x + 3 and y = 2x - 4.

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

In the given graph,

The point (4, 4) is the intersection point of the lines.

Since, the point (4, 4) is intersection point,

Therefore, this point will satisfy the equations of line.

From the options, take equations,

y = (1/4) x + 3

Substitute x = 4 and y = 4

4 = (1/4) 4 + 3

4 = 4

y = 2x - 4

Substitute x = 4 and y = 4

4 = 2 × 4 - 4

4 = 4

The point (4,4) satisfies both the equations.

Therefore, (4,4) is the only ordered pair that satisfies both equations y = (1/4) x + 3 and y = 2x - 4.

Option (C) is correct option.

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Evaluating each expression with x = -2 and y = 3 gives

3x²y - x = 38

3y - x = 11

x² - y = 7

x + 2xy = 14

4y - 2xy + 2y = 33

2x - y = -7

6 -x =  8

3x - 2y = -12

3x - 2y + xy = -18

The expressions are evaluated by substituting the values of x and y into the equations and solve

solving the expressions

3x²y - x

substituting x = -2 and y = 3

= 3(-2)² * 3 - (-2)  

= 38

3y - x =

substituting x = -2 and y = 3

= 3 * 3 - (-2)

= 11

x² + y

substituting x = -2 and y = 3

= (-2)² + 3

= 7

x + 2xy

substituting x = -2 and y = 3

= -2 + 2 * -2 * 3

= -14

4y - 2xy + 3y

7y - 2xy

substituting x = -2 and y = 3

= 7 * 3 - 2 * -2 * 3

= 21 - (-12)

= 33

2x - y =

substituting  x = -2 and y = 3

= 2 * -2 - 3

= -7

6 - x

substituting  x = -2

= 6 - (-2)

= 8

3x - 2y

substituting  x = -2 and y = 3

= 3 * -2 - 2 * 3

= -6 - 6

= -12

3x - 2y + xy

substituting  x = -2 and y = 3

= 3 * -2 - 2 * 3 + -2 * 3

= -6 - 6 + (-6)

= -18

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Answer:

Then it is a circle!

Answer: 32

Step-by-step explanation:

Answer:

25 degrees

Step-by-step explanation:

sum of all three angles of a triangle equal 180

135+5x+4x=180

135+9x=180

-135.     -135

9x=45

x=5

angle A is 5x

5(5)

25

hopes this helps please mark brainliest

The list of all probabilities from first to last are 0.5, 0.5, 0.2, 0.4, 0.5,

and 0.2.

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

There are a total of 6 possibilities when rolling a die and of which three are even numbers.

P(rolling an even number is) = 3/6 = 1/2 0.5.

There are two possibilities when flipping a coin,

∴ The probability of getting a head is (1/2) = 0.5.

There are a total of (1 + 1 + 3) = 5 possibilities of choosing a block out of which one is red, therefore the probability of choosing a red is = (1/5) = 0.2.

Total 10 marbles and 4 blue marbles, hence the probability of choosing a blue marble is (4/10) = 2/5 = 0.4.

There are a total of 8 balls out of which 4 are soccer balls, hence the probability of choosing a soccer ball is = 4/8 = 1/2 = 0.5.

Total 15 balls out of which 3 tennis balls hence the probability of choosing a tennis ball is = 3/15 = 0.2.

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Factor the following questions is.6 m(x+2 n+2),

What is factor?

In mathematics, an integer m that can be multiplied by another integer to create n is known as a divisor of an integer n, also known as a factor of n. One can also state that n is a multiple of m in this situation.

[tex]6 x m+12 m+12 m n[/tex]

Factor out common term[tex]$6 m$ : $6 m(x+2+2 n)$[/tex]

[tex]\begin{aligned}& =6 m(x+2+2 n) \\& =6 m(x+2 n+2)\end{aligned}[/tex]

[tex]13 r+r+9 x r[/tex]

Add similar elements: [tex]$13 r+r=14 r$[/tex]

[tex]=14 r+9 x r[/tex]

[tex]15 x y+45 y+3 m y[/tex]

Factor out common term [tex]3y: $\quad 3 y(5 x+15+m)$[/tex]

[tex]\begin{aligned}& =3 y(5 x+15+m) \\& =3 y(5 x+m+15)\end{aligned}[/tex]

[tex]$7 m n+13 m n+8 m n$[/tex]

Add similar elements: [tex]$7 m n+13 m n+8 m n=28 m n$[/tex][tex]$=28 \mathrm{mn}$[/tex]

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Answer:

∠ 2 = 66°

Step-by-step explanation:

∠ 1 and ∠ 2 are same- side interior angles and sum to 180° , then

∠ 2 + 114° = 180° ( subtract 114° from both sides )

∠ 2 = 66°

Answer:

Step-by-step explanation:

Thank you

The given quadratic equation 5x^2+6x+4=0 has no real roots or 0 real roots.

A quadratic equation is any algebraic expression that can be expressed in a standard form where x represents an unknown number, a, b, and c represent known values, and where a 0 is true.

So, we have the equation:

5x^2+6x+4=0

Discriminant (D): b² - 4ac

Insert values in the given formula as follows:
b² - 4ac is 6² - 4(5)(4).

= 36 - 80

= - 44 and it is less than zero.

No real roots

Therefore, the given quadratic equation 5x^2+6x+4=0 has no real roots or 0 real roots.

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There are 320 engines must be made to minimize the unit cost.

Expression in math's is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that;

The unit cost is given by the function,

⇒ C(x)= 0.3x²- 192x + 47,470

Now,

Since, The unit cost is given by the function,

⇒ C(x)= 0.3x²- 192x + 47,470

Hence, We get;

⇒ dC/dx = 0.6x - 192

Put dC/dx = 0

⇒ 0 = 0.6x - 192

⇒ 0.6x = 192

⇒ x = 320

And, d²C/dx² = - 192 < 0

Hence, This gives the maximum value.

So, The number of engines which must be made to minimize the unit cost = 320

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Answer:

y = - 0.5x + 8

Step-by-step explanation:

[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

[tex]\frac{7-4}{2-8}[/tex]

[tex]\frac{3}{-6}[/tex]

[tex]-\frac{1}{2}[/tex]

m = - 1/2

y = - 1/2x + b

4 = - 0.5(8) + b

4 = - 4 + b

b = 8

y = - 0.5x + 8

Answer:

D

Step-by-step explanation:

the x- intercept is the point where the line crosses the x- axis.

any point on the x- axis has a y- coordinate of zero.

let y = 0 in the equation and solve for x , that is

4x + 2 = 0 ( subtract 2 from both sides )

4x = - 2 ( divide both sides by 4 )

x = [tex]\frac{-2}{4}[/tex] = - [tex]\frac{1}{2}[/tex] ← x- intercept

coordinates of x- intercept = (- [tex]\frac{1}{2}[/tex], 0 )

Answer:

x=-8

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

x= -8

Step-by-step explanation:

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

Answer:

The answer is 8a + 4s = $320

Step-by-step explanation:

Let us take a for adult tickets and s for student ticket we get,

8a and 4s

They collect $320 in total

8a + 4s = $320

Thus, The equation represents this relationship is 8a + 4s = $320

Answer:

ST and RQ

Step-by-step explanation:

The 'arrows'  on the line segments mean they are parallel

Answer:False

Its just simply incorrect

The solution is 120 ounces

An average man can lift the weight of $ 150 in quarters

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total weight an average man can lift be = A

Now , the weight of an average quarter = 0.2 ounces

Now , Number of quarters in $ 1 = 4 quarters

Let the total amount be = $ 150

So , the number of quarters in $ 150 is given by the equation

Number of quarters in $ 150 = 150 x 4

Substituting the values in the equation , we get

Number of quarters in $ 150 = 600 quarters

And , the weight of 600 quarters = 600 x weight of an average quarter

Substituting the values in the equation , we get

Number of quarters in $ 150 = 600 quarters

The weight of 600 quarters = 600 x 0.2

The weight of 600 quarters = 120 ounces

Therefore , the value of A is 120 ounces

Hence , an average man can lift the weight of $ 150 in quarters

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Answer: the answer is try hard and if you don’t succeed try try again

Step-by-step explanation:

Answer:

12

X

7

Step-by-step explanation:

Answer: 34.44

Step-by-step explanation:

Answer:its d

Step-by-step explanation:

a) The 95% confidence interval estimate for the population mean spending by a customer on visiting salon per month is given as follows: (747, 853).

b) The sampling error at 95% confidence level is of: $35.78.

The bounds of the confidence interval are given as follows:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

The parameters for this problem are given as follows:

[tex]\overline{x} = 800, \mu = 200, n = 55, z = 1.96[/tex]

Hence the lower bound of the interval is of:

800 - 200 x 1.96/square root of 55  = 747.

The upper bound of the interval is of:

800 + 200 x 1.96/square root of 55  = 853.

The sampling error for a sample size of 120 is calculated as follows:

200 x 1.96/square root of 120 = $35.78.

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Answer:

y = [tex]-\frac{1}{3}[/tex]x + 2

Step-by-step explanation:

Find the reciprocal change the sign of the gradient (m=3):

[tex]-\frac{1}{3}[/tex]

so

y = [tex]-\frac{1}{3}[/tex]x + c

The intersect is 2, so c = 2

Final answer: y = [tex]-\frac{1}{3}[/tex]x + 2

The possible ethical issues of testing are given below.

What is drug?

Any chemical that, when consumed, alters the physiology or psychology of an organism qualifies as a drug. Usually, foods and other substances that support nutrition are distinguished from drugs.

(A)

Possible ethical problems: Since animals are able to perceive their surroundings, they have the right to exist free from human interference.

Therefore, animal research should not be done by humans. It is wrong to use animals only as stools to advance scientific understanding.

The right for an animal to live a full life without pain or suffering should be equal to that of humans.

Part B:

For the following reason, this is a bad assumption.

It does not follow that just because a drug causes the blood pressure levels in monkeys to return to normal after consumption that the drug will do the same for humans. This is because how humans and monkeys react to drugs differ.

Furthermore, it's unclear whether the drug's return to normal blood pressure was caused by it or by some other confounding variables that the researcher neglected to take into account.

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On solving the provided question, we can say that the probability that a 2 or 5 is NOT rolled is - 1- 1/3 = 2/3

A branch of mathematics called probability describes the likelihood that an event will occur or that a proposition is true. The probability of an event ranges from 1 to 1, with 1 indicating certainty and numbers in between indicating the difficulty of the event.

to determine the likelihood of rolling a die with a 2 or a 5 on it. The probability formula can be used to do this.

[tex]P(E) = (Number of times event occurs)/(Total number of trials)[/tex]

S = 1, 2, 3, 4, 5, 6 is a sample space of potential results when rolling a dice.

If the likelihood of rolling a die and having a result of 2 or 5 is event E.

Number of occurrences [n(E)] = 2

[n(S)] = 6 trials in all

[tex]P(E) = 2/6 = \frac{1}{3}[/tex]

So, the probability that a 2 or 5 is NOT rolled is - \

1- 1/3 = 2/3

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Answer:

  $20.07

Step-by-step explanation:

You want Marissa's total bill when she bought three cartons of ice cream at $4.59 each and two packages of plastic bowls at $3.00 each, with the plastic being taxed at 5%.

The amount for each item will be the product of the cost per unit and the number of units.

  ice cream total = 3 × $4.59 = $13.77

  plastic total = 2 × $3.00 = $6.00

The tax is applied only to the plastic, so the amount of tax is ...

  5% × $6.00 = $0.30

The total bill is the sum of the item costs and the tax:

  $13.77 +6.00 +0.30 = $20.07

Marissa's total bill was $20.07.

Proportionately, the sorting machine will take 100 minutes (1 hour and 40 minutes) to process 720 tons if it takes 50 minutes to process 360 tons.

Proportion is the ratio or numerical relationship that one quantity bears to another.

Proportions are equated to each other to find missing variables.

Proportions are fractional values, usually depicted as fractions, decimals, or percentages.

The total number of oranges to sort = 720 tons

Machine processing speed = 360 tons per 50 minutes

Proportionately, the machine can process 7.2 tons per minute (360/50).

The time to sort 720 tons = 100 minutes (720/360 x 50) or (720/7.2)

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Answer: look it up how to pronounce the word

Step-by-step explanation: go to goggle translate or an app.

The solution is

a) The x represents the number of sales

b) The y represents the total earnings in dollars

c) The slope of the line m = 50 earnings (in dollars) per sale

d ) The slope represents the total earnings per sales and it is $ 50 per sale

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is given by the equation

Let the number of sales be = x

Let the total earnings be = y

Now , let the two points on the graph be A and B

where the value of A = A ( 3 , 200 )

And , the value of B = B ( 5 , 300 )

Now , the slope of the line between the points A and B is given by

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 300 - 200 ) / ( 5 - 3 )

Slope m = 100 / 2

Slope m = 50

So , the slope of the line is given by m = 50 earnings per sales

And , Slope m = $ 50 per sales

The equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 200 = 50 ( x - 3 )

y - 200 = 50x - 150

Adding 200 on both sides of the equation , we get

y = 50x + 50

Therefore , the equation of line is y = 50x + 50

Hence ,

a) The x represents the number of sales

b) The y represents the total earnings in dollars

c) The slope of the line m = 50 earnings (in dollars) per sale

d ) The slope represents the total earnings per sales and it is $ 50 per sale

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