-6x+6y=9 (1/2,2) please helppppp

Answer:

(0, -5)

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

According to the systems of equations graph, we see both lines intersect at (0, -5). Where the 2 lines intersect is the solution to the systems.

∴ our answer is (0, -5)

Answer:

\(e^{\frac{1}{5}x} = \sum\limits^{\infty}_{k=0} \frac{1}{5}^k \cdot \frac{x^k}{k!}\)

Step-by-step explanation:

Poorly formatted question.

The given parameters can be summarized as:

\(e^x = \sum\limits^{\infty}_{k=0} \frac{x^k}{k!}\) ----- the series

Required

Determine \(e^\frac{1}{5}^x\)

We have:

\(e^x = \sum\limits^{\infty}_{k=0} \frac{x^k}{k!}\)

Substitute \(\frac{1}{5}x\) for x

\(e^{\frac{1}{5}x} = \sum\limits^{\infty}_{k=0} \frac{(\frac{1}{5}x)^k}{k!}\)

Split

\(e^{\frac{1}{5}x} = \sum\limits^{\infty}_{k=0} \frac{1}{5}^k \cdot \frac{x^k}{k!}\)

(1) 6 students read all three courses.

(II) 37 students read only one course.

(III) 77 students read exactly two courses.

(IV) 73 students read Accountancy irrespective of Sociology or French.

Let A represent the number of students reading Accountancy, S represent the number of students reading Sociology, and F represent the number of students reading French.

Let X be the number of students reading all three.

From the information given:

A ∩ S = 19

A + S - 27 = 120 - 53 + 19 = 86 (number of students reading Accountancy or Sociology but not French)

S - A - X = 27

S + F - X = 53

F - X = 19

A - X = 86 - 19 = 67

Total = A + S + F - (A ∩ S) - (A ∩ F) - (S ∩ F) + X = 120

Solving, we get X = 6, A = 73, S = 52, F = 25.

(1) 6 students read all three courses.

(II) 37 students read only one course.

(III) 77 students read exactly two courses.

(IV) 73 students read Accountancy irrespective of Sociology or French.

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Answer:

1/20

Step-by-step explanation:

Each child got 1/20 gallon of milk, because 1/20 * 5 is 4/20, which can be simplified to 1/4.

Answer:

each person should get 1/24th or 0.0417

Step-by-step explanation:

earns 2 points for each correct answer

loses 0.5 points for each incorrect answer

13 correct answers

2 incorrect answers

13 (2)-2(0.5) = 26-1 = 25

Score = 25 points

Answer:

the required answer are -8,0,4

Step-by-step explanation:

this is the answer

plz check

Answer:

Step-by-step explanation:

Answer:

the time Ari spent to walk is

\(1 \frac{3}{4} \div 1 \frac{1}{4} = 1.4(h)\)

the time Beth spent to walk is

\(1 \frac{1}{2} \div 1 \frac{1}{8} = 1.(3)(h)\)

the time Cathy spent to walk is 1h21' = 1.35(h)

so the time Ari spent > Cathy > Beth

=> list: Beth, Cathy, Ari

Answer:

The answer is most likely A.

The reason why, is because since the earning in 6 hours is $94.50, so the hourly wage would be, $15.75 because:

94.50/6 = 15.75

Graph B, for the first hour, the amount of dollars is correct, but in 11 hours, it says 25.75, which is not correct so Graph B cannot be it.

Graph C, shows that at hour 1, that it is 15.75 dollars, but at hour 2 16.75, as well with hour 3, 17.75. The graph is showing an increase of 1 dollar per hour, which is not correct so graph C is not it.

Graph D shows that at hour 6, there is $94.50, which is correct, but at hour 12, its 100.50. This is not true because , the hour has increased by 6, and when it increased by 6, the amount of pay increased by 6 as well, which is not the right way in which you would do so.

Option A is correct!

Step-by-step explanation:

Hope it helps! =D

The end behavior of the function f(n) = 3(n + 2)²(n - 3)(n - 2) is given as follows:

The end behavior of a function refers to how the function behaves as the input variable approaches positive or negative infinity.

The function for this problem is given as follows:

f(n) = 3(n + 2)²(n - 3)(n - 2).

Considering the degree, the function can be interpreted as follows:

\(3n^4\)

(for the limit when the input goes to infinity we consider only the term with the highest degree).

The leading coefficient is positive and the exponent is even, hence the end behavior is given as follows:

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Answer:

he rode 4.8 miles each day

2.73

1.3x2.1=2.73

1.3

x2.1

13

+26

2.73

Answer:

To multiply 1.3 by 2.1, we need to use the distributive property of multiplication, which states that:

a × (b + c) = a × b + a × c

Using this property, we can break down 2.1 as the sum of 2 and 0.1:

1.3 × 2.1 = 1.3 × (2 + 0.1)

= 1.3 × 2 + 1.3 × 0.1

= 2.6 + 0.13

= 2.73

Therefore, 1.3 multiplied by 2.1 equals 2.73.

Answer:

\(\cos G=\dfrac{2}{3}\)

\(\csc E=\dfrac{3}{2}\)

\(\cot G=\dfrac{2}{\sqrt{5}}\)

Step-by-step explanation:

If the right angle of right triangle EFG is ∠F, then EG is the hypotenuse, and EF and FG are the legs of the triangle. (Refer to attached diagram).

Given ΔEFG is a right triangle, and EG = 6 and FG = 4, we can use Pythagoras Theorem to calculate the length of EF.

\(\begin{aligned}EF^2+FG^2&=EG^2\\EF^2+4^2&=6^2\\EF^2+16&=36\\EF^2&=20\\\sqrt{EF^2}&=\sqrt{20}\\EF&=2\sqrt{5}\end{aligned}\)

Therefore:

\(\hrulefill\)

To find cos G, use the cosine trigonometric ratio:

\(\boxed{\begin{minipage}{9 cm}\underline{Cosine trigonometric ratio} \\\\$\sf \cos(\theta)=\dfrac{A}{H}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

For angle G, the adjacent side is FG and the hypotenuse is EG.

Therefore:

\(\cos G=\dfrac{FG}{EG}=\dfrac{4}{6}=\dfrac{2}{3}\)

\(\hrulefill\)

To find csc E, use the cosecant trigonometric ratio:

\(\boxed{\begin{minipage}{9 cm}\underline{Cosecant trigonometric ratio} \\\\$\sf \csc(\theta)=\dfrac{H}{O}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

For angle E, the hypotenuse is EG and the opposite side is FG.

Therefore:

\(\csc E=\dfrac{EG}{FG}=\dfrac{6}{4}=\dfrac{3}{2}\)

\(\hrulefill\)

To find cot G, use the cotangent trigonometric ratio:

\(\boxed{\begin{minipage}{9 cm}\underline{Cotangent trigonometric ratio} \\\\$\sf \cot(\theta)=\dfrac{A}{O}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

For angle G, the adjacent side is FG and the opposite side is EF.

Therefore:

\(\cot G=\dfrac{FG}{EF}=\dfrac{4}{2\sqrt{5}}=\dfrac{2}{\sqrt{5}}\)

Answer:

1/3

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

say 1 is a circle and 1. is a full circle

111     1|1|1     1.|1|1

111    1|1|1      1.|1|1

1/3 of the groups of circles are shaded.

The equation of the line of best fit is: y = (-2/3)x + 26/3

To estimate the line of best fit using two points on the line, we can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope of the line and b is the y-intercept.

Given the two points (7, 4) and (10, 2), we can calculate the slope (m) using the formula:

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

Substituting the coordinates of the points:

m = (2 - 4) / (10 - 7)

m = -2 / 3

Now that we have the slope, we can substitute it into the equation and solve for the y-intercept (b). Let's use the coordinates of one of the points, such as (7, 4):

4 = (-2/3)(7) + b

4 = -14/3 + b

To find the value of b, we can rearrange the equation:

b = 4 + 14/3

b = 12/3 + 14/3

b = 26/3

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Question 1:

(a) The equation representing Elaine's total parking cost is:

C = x * t

(b) So the cost of parking for a full 24 hours would be 24 times the cost per hour.

Question 2:

The given system of equations is inconsistent and has no solution.

(a) To represent Elaine's total parking cost, C, in dollars for t hours, we need to know the cost per hour. Let's assume the cost per hour is $x.

(b) If Elaine wants to park her car for a full 24 hours, we can substitute t = 24 into the equation from part (a):

C = x * 24

Question 2:

To solve the linear system:

-x - 6y = 5

x + y = 10

We can use the elimination method.

Multiply the second equation by -1 to create opposites of the x terms:

-x - 6y = 5

-x - y = -10

Add the two equations together to eliminate the x term:

(-x - 6y) + (-x - y) = 5 + (-10)

-2x - 7y = -5

Now we have a new equation:

-2x - 7y = -5

To check the answer, we can substitute the values of x and y back into the original equations:

From the second equation:

x + y = 10

Substituting y = 3 into the equation:

x + 3 = 10

x = 10 - 3

x = 7

Checking the first equation:

-x - 6y = 5

Substituting x = 7 and y = 3:

-(7) - 6(3) = 5

-7 - 18 = 5

-25 = 5

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Here are the correct matches to the expressions to their solutions.

The GCF of 28 and 60 is 4.

(-3/8)+(-5/8) = -4/4 = -1.

-1/6 DIVIDED BY 1/2 = -1/6 X 2 = -1/3.

The solution of 0.5 x = -1 is x = -2.

The solution of 1/2 m = 0 is m = 0.

-4 + 5/3 = -11/3.

-2 1/3 - 4 2/3 = -10/3.

4 is not a solution of -4 < x.

1. The GCF of 28 and 60 is 4.

The greatest common factor (GCF) of two numbers is the largest number that is a factor of both numbers. To find the GCF of 28 and 60, we can factor each number completely:

28 = 2 x 2 x 7

60 = 2 x 2 x 3 x 5

The factors that are common to both numbers are 2 and 2. The GCF of 28 and 60 is 2 x 2 = 4.

2. (-3/8)+(-5/8) = -1.

To add two fractions, we need to have a common denominator. The common denominator of 8/8 and 5/8 is 8. So, (-3/8)+(-5/8) = (-3 + (-5))/8 = -8/8 = -1.

3. -1/6 DIVIDED BY 1/2 = -1/3.

To divide by a fraction, we can multiply by the reciprocal of the fraction. The reciprocal of 1/2 is 2/1. So, -1/6 DIVIDED BY 1/2 = -1/6 x 2/1 = -2/6 = -1/3.

4. The solution of 0.5 x = -1 is x = -2.

To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate x by dividing both sides of the equation by 0.5. This gives us x = -1 / 0.5 = -2.

5. The solution of 1 m = 0 is m = 0.

To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate m by dividing both sides of the equation by 1. This gives us m = 0 / 1 = 0.

6. -4 + 5/3 = -11/3.

To add a fraction and a whole number, we can convert the whole number to a fraction with the same denominator as the fraction. In this case, we can convert -4 to -4/3. So, -4 + 5/3 = -4/3 + 5/3 = -11/3.

7. -2 1/3 - 4 2/3 = -10/3.

To subtract two fractions, we need to have a common denominator. The common denominator of 1/3 and 2/3 is 3. So, -2 1/3 - 4 2/3 = (-2 + (-4))/3 = -6/3 = -10/3.

8. 4 is not a solution of -4 < x.

The inequality -4 < x means that x must be greater than -4. The number 4 is not greater than -4, so it is not a solution of the inequality.

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Answer:

there are 2 1/8

Step-by-step explanation:

plz brainllest

The sum of the decimal values given is 0.93

Simplifying the decimal values can be done thus :

Both values are in two decimal places, hence we can multiply by 100 to obtain a whole number .

0.36*100 = 36

0.57*100 = 57

Adding the whole numbers :

__36

+_57

_____

__93

Dividing the sum by 100 to convert to an equivalent decimal value,

Therefore, the required value is 0.93

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The average score of the spelling test is 90.6%

To find the average score of the test, we need to add up all the scores and divide by the total number of students. We can think of the average score as the "typical" or "representative" score of the entire class.

First, let's add up all the scores:

2(100) + 9(95) + 10(90) + 3(80) + 1(70) = 200 + 855 + 900 + 240 + 70 = 2265

Next, we divide by the total number of students:

Average score = (2 + 9 + 10 + 3 + 1) / 25 * 100% = 25 / 25 * 100% = 90.6%

Therefore, the average score of the spelling test is 90.6% when rounded to one decimal place.

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9514 1404 393

Answer:

  y = -9x +49

Step-by-step explanation:

The slope of line b is the same as the slope of line a. That can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (-1 -8)/(2 -1) = -9

The y-intercept can be found from the given point using the formula ...

  b = y - mx

  b = 13 -(-9)(4) = 13 +36 = 49

Then the slope-intercept equation of line b is ...

  y = -9x +49

Answer:

True

Step-by-step explanation:

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Answer: The histogram is skewered to the right (right-skewered)

Step-by-step explanation:

The peak veers to the left and the tail is towards the right.

The histogram given is right-skewed.

A histogram is a representation of the distribution of data with intervals.

We have,

Right-skewed and left-skewed are terms used to describe the shape of a data distribution.

A right-skewed (or positively skewed) distribution is one in which the tail on the right-hand side of the graph is longer or fatter than the tail on the left-hand side.

A left-skewed (or negatively skewed) distribution is the opposite of a right-skewed distribution.

In this case, the tail on the left-hand side of the graph is longer or fatter than the tail on the right-hand side.

Now,

We see that the histogram given is right-skewed because the tail on the right-hand side of the graph is longer or fatter than the tail on the left-hand side.

Thus,

The histogram given is right-skewed.

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Answer:

35 and 28.

Step-by-step explanation:

This problem can be solved using a system of linear equations.

Let one number be x and the other be y.

"The ratio of two numbers is 5 to 4", therefore:

\(\frac{x}{y} =\frac{5}{4} \\\\\frac{x}{y} =1.25\)

Also, "...the sum of the numbers is 63", therefore:

\(x+y=63\)

1. Set up the linear equations system.

\(\frac{x}{y} =1.25\\\\x+y=63\)

2. Take the value of one of the variables from one of the equations.

\(\frac{x}{y} =1.25\\x=1.25y\)

3. Substitute this value into the other equation and solve for y.

\(x+y=63\\\\(1.25y)+y=63\\\\2.25y=63\\\\y=\frac{63}{2.25} \\\\y=28\)

4. Now that we have a value for y, take an equation and find the value of x.

\(x+y=63\\\\x+(28)=63\\\\x=63-28\\\\x=35\)

Therefore, our 2 numbers are 35 and 28.

Answer:

False

Please make this brianliest so others can learn from this answer

Happy to help :)

Step-by-step explanation:

The probability of getting a z-score less than or equal to 0 is 0.5. Therefore, the probability that the mean of the sample would differ from the population mean by less than 41 points is 0.5 or 50%

The probability formulas below provide the group means' standard deviation:

σM = σ/sqrt(n)

where M is the standard deviation of the sample averages, n is the sample size, and is the population standard deviation.

Inputting the specified numbers results in:

σM = sqrt(203401/358) = 22.5256

Standard deviation of sample means divided by square root of sample number yields the standard error of the mean.

SE = σM/sqrt(n)

Inputting the specified numbers results in:

SE = 22.5256/sqrt(358) = 1.1894

Using the z-score formula, we can determine the likelihood that the sample mean would deviate from the overall mean by no more than 41 points:

z = (x - μ) / SE

where SE is the standard error of the mean, x is the sample mean, and is the group mean.

Inputting the numbers provided yields:

z = (1469 - 1469) / 1.1894 = 0

Getting a z-score that is less than or equivalent to 0 has a 0.5 probability. As a result, the likelihood that the sample's mean would deviate from the population's mean by no more than 41 points is 0.5, or 50%. (rounded to four decimal places).

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