What is an equation of the line that passes through the points (4, 8) and (1, - 1) ? Put your answer in fully reduced form.

The function is undefined at x = 0, so it does not have a y-intercept.

To find the y-intercept of the function, we substitute x = 0 into the function f(x).

f(0) = -2/(9(0)) + 1/3

Since we have 9(0) in the denominator, it becomes 0, which makes the fraction undefined.

Therefore, the function does not have a y-intercept.

The y-intercept is the point where the graph of the function intersects the y-axis, which occurs when x = 0.

However, in this case, the function is undefined at x = 0, so it does not have a y-intercept.

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Answer:

  find the y-value corresponding to x=3

Step-by-step explanation:

Locate x=3 on the x-axis. Follow a vertical line from that point to the graph of the function. Read from the graph the y-value of the point of intersection of that vertical line and the function. That y-value is f(3).

Answer:

For f(3), the input is 3 and you are looking for the output. To determine the function's value when x = 3, go to the value of 3 on the x-axis and then locate the graph for that value of x. Determine the value of y from the y-axis at that location on the graph.

Step-by-step explanation:

Sample response

Answer:

Let the three numbers be x, y and z.

Sum of the numbers is 98.

x + y + z = 98………………(i)

The ratio of the first to the second is 2/3.

x/y = 2/3.

x = 2/3 × y.

x = 2y/3.

The ratio of the second to the third is 5/8.

y/z = 5/8.

z/y = 8/5.

z = 8/5 × y.

z = 8y/5.

Put the value of x = 2y/3 and z = 8y/5 in (i).

2y/3 + y + 8y/5 = 98

49y/15 = 98.

49y = 98 × 15.

49y = 1470.

y = 1470/49.

y = 30 .

Therefore, the second number is 30.

Answer: (c)

Step-by-step explanation:

The error term is a random variable with an expected value of zero.2. The error term is normally distributed

The assumptions underlying the simple linear regression model `y = Bo + B1x + e` are: 1.

The variance of the error term e is constant across all values of x.Thus, the assumptions that are underlying the simple linear regression model `y = Bo + B1x + e` are the second and the third options, which are "The error term is normally distributed." and "The variance of the error term e is constant across all values of x." respectively.

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Therefore, Lance's average velocity was 15.43 miles per hour.

An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides, left-hand side (LHS) and right-hand side (RHS), connected by an equal sign (=). The LHS and RHS can contain numbers, variables, operators, and functions, and the equal sign indicates that the value of the expression on the LHS is equal to the value of the expression on the RHS.

Here,

We can compute Lance's average velocity by dividing the total distance he cycled by the time it took him, and then converting the units to miles per hour.

Total distance: 22 miles

Time: 70 minutes = 70/60 hours

= 7/6 hours

Average velocity = Total distance / Time

= 22 / (7/6)

= 15.43 miles per hour (rounded to two decimal places)

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Answer:

433

Step-by-step explanation:

433. . . . . . . ............,.. srry it made me write this much to answer

Answer:

Step-by-step explanation:

Employee's salary: $52,000

Months in a year: 12

52000 / 12 = 4,333.333(r)

Closest answer: D

Answer:

171

Step-by-step explanation:

Range without outlier = 85 maximum - 38 minimum = 47

Range with outlier = 256-38 = 218

increase = 218-47 = 171

Answer:

k=8

Step-by-step explanation:

We can solve using the slope formula

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

3/5 = (k-2)/(4- -6)

3/5 = (k-2)/(4+6)

3/5 = (k-2)/10

Multiply each side by 10

10*3/5 = (k-2)/10 *10

6 = k-2

Add 2 to each side

6+2 = k-2+2

8 = k

Answer:

x ≈ 10.4

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos42° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{x}{14}\) ( multiply both sides by 14 )

14 × cos42° = x , then

x ≈ 10.4 ( to the nearest tenth )

The missing side length is 17 and the side lengths 8, 15, and 17 form a Pythagorean triple.

Side lengths: 8, 15

Missing side length: 17

Yes, the side lengths form a Pythagorean triple. The side lengths 8, 15, and 17 form a Pythagorean triple because 8^2 + 15^2 = 17^2.

To answer this question, we first need to determine if the side lengths 8, 15 and the missing side length form a Pythagorean triple. To do this, we use the Pythagorean theorem which states that the sum of the squares of the two shorter sides of a right triangle is equal to the square of the longest side. If this is true, then the side lengths form a Pythagorean triple.

In this case, we can plug in the side lengths 8 and 15 into the Pythagorean theorem. 8^2 + 15^2 = 17^2. Since the equation is true, this means that the side lengths 8, 15 and 17 form a Pythagorean triple. Therefore, the missing side length is 17.

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==============================================

Explanation:

The given solution is (2,9) which means x = 2 and y = 9 pair up together.

Replace x with 2 and replace y with 9.

Let's do so for the first equation

y = 3x+3

9 = 3*2+3

9 = 6+3

9 = 9

We get the same thing on both sides, which confirms the first equation.

Now let's check the second equation.

y = x+7

9 = 2+7

9 = 9

This equation is confirmed as well.

Both equations are true when (x,y) = (2,9) which confirms it is indeed the solution to the system.

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

If you are a visual learner, then I recommend graphing out the equations using a tool like GeoGebra or Desmos.

The two lines intersect at (2,9) which visually confirms it is the solution.

The amount remaining out the money earned is $37.5

Given the following parameters

Amount earned by kevin = $80

If he spent $68/5 on shopping, $51/2 on food, and $22/5 for taxi, the total money spent is given as;

Total money spent = 51/2 + 68/5 + 22/5

Total money spent = 51/2 + 90/5

Total money spent = 25.5 + 18

Total money spent = 43.5

Amount remaining = 80. - 43.5

Amount remaining = 37.5

Hence the amount remaining out the money earned is $37.5

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Answer:

162 m2

Step-by-step explanation:

Hope this helped, leave a comment if you need anything else.

The value οf y fοr pοint P οn the unit circle in the third quadrant with x-cοοrdinate -6/7 is -sqrt(13)/7.

PWe knοw that the pοint  is in the third quadrant and is distance 1 away frοm the οrigin, which is at (0,0). We alsο knοw that there is a pοint at (1,0) οn the x-axis, which is tο the right οf the οrigin.

Tο sοlve fοr y, we can use the Pythagοrean theοrem tο set up an equatiοn based οn the distance fοrmula:

\(\sqrt{(x^2 + y^2)} = 1\)

Squaring bοth sides, we get:

\(x^2 + y^2 = 1\)

Since we knοw that x = -6/7, we can substitute that in and sοlve fοr y:

\((-6/7)^ + y^2 = 1\)

Simplifying, we get:

\(36/49 + y^2 = 1\)

Subtracting 36/49 frοm bοth sides, we get:

y^2 = 13/49

Taking the square rοοt -

οf bοth sides yields:

\(y = +/- \sqrt{(13)} /7\)

Because P is lοcated in the third quadrant, y must be negative. Therefοre, the value οf y in simplest fοrm is:

\(y = - \sqrt{(13)}/7\)

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Answer:

The equation of the line in slope-intercept form is;

y = 10 - 5/6·x

Step-by-step explanation:

The given equation of the line to which the required line is perpendicular is presented as follows;

y = 6/5·x + 9

A point on the desired line = (12, 0)  

The relationship of the slope, m₁ of a line, perpendicular to the another line of slope m₂, is given as follows;

m₁  = -1/m₂

Therefore;

The slope of the desired line = -1/(The slope of the given line)

The slope of the desired line = -1/(6/5) = -5/6

The equation of the desired line in point and slope form is given as follows;

y - 0 = -5/6 × (x - 12)

Therefore, the equation of the line in slope-intercept form is;

y = -5/6·x + 10 = 10 - 5/6·x.

The equation of the line that is parallel to the line y = x 4 and passes through the point (6, 5) is y = x - 1

The line y = x + 4 has a slope of 1 because it is in the form y = mx + b, where m is the slope of the line. To find a line parallel to this line, we need to use the same slope of 1.

Now, we can use the point-slope form of a linear equation to find the equation of the line that passes through the point (6, 5) with a slope of 1:

y - y1 = m(x - x1)

where m = 1, x1 = 6, and y1 = 5.

Plugging in the values, we get:

y - 5 = 1(x - 6)

Simplifying, we get:

y - 5 = x - 6

y = x - 1

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Answer:

axis of symmetry : x = 4

coordinates of the vertex : (4, 28)

Step-by-step explanation:

Before we start solving, let's define what the coefficients of this quadratic equation is.

\(y = ax^2 + bx + c\)

\(y = -x^2 + 8x + 12\)

a = -1

b = 8

c = 12

⭐What is the axis of symmetry?

To find the axis of symmetry, we need to find the x-coordinate of the vertex.

Equation for the x-coordinate of the vertex:

\(x = \frac{-b}{2a}\)

Substitute the values of a, b, and c into this equation and compute.

\(x = \frac{-(8)}{2(-1)}\)

\(x = \frac{-8}{-2}\)

\(x = 4\)

∴ The axis of symmetry is x = 4

⭐What is the vertex of a parabola?

To find the x-coordinate of the vertex, you can use the formula: \(x = \frac{-b}{2a}\).

To find the y-coordinate of the vertex, substitute the x-coordinate of the vertex and compute.

x-coordinate: 4

y-coordinate:

\(y = -x^2 + 8x + 12\)

\(y = -(4)^2 + 8(4) + 12\)

\(y = -(16) + 32 + 12\)

\(y = -16 + 44\)

\(y = 28\)

y-coordinate: 28

∴ The coordinates of the vertex is (4,28)

⭐if this response helped you, please mark it the "brainliest"!⭐

Answer:the correct answer is b

Step-by-step explanation:

Answer: Calculate

Step-by-step explanation: How to calculate the margin of error?

1. Get the population standard deviation (σ) and sample size (n).

2. Take the square root of your sample size and divide it into your population standard deviation.

3. Multiply the result by the z-score consistent with your desired confidence interval according to the following table:

Absolute maximum: (0,4) Since it is the highest point in the interval.

Absolute minimum: (-3,-5) Since it is the lowest point in the interval.

Answer: 9

Step-by-step explanation:

\(\displaystyle\\6\div\frac{2}{3}=\\\\ 6*\frac{3}{2}=\\\\ \frac{(6)(3)}{2}=\\\\ \frac{(2)(3)(3)}{2} =\\\\(3)(3)=\\\\9\)

Given

To find:

The average speed of Julian.

Explanation:

It is given that,

That implies,

Therefore,

Hence, the average speed of Jean is 11 km/h.

(a). 4,5,6,7,...... , ......

(b) . 10,11,12,13,......,......

(c) . 24,25,26,27,.....,....

(d) . 1,3,5,7,......,.....

Here we have the sequence:

(a) . 4,5,6,7,...,.....

To check this, let's find the difference between the consecutive terms:

5 - 4 = 1

6 - 5 = 1

7 - 6 = 1

(i) . The term-to-term rule is the rule that defines the \(n^{th}\) term based on the previous terms.

Here we already know that each term in this sequence is the previous one plus six, so we can write this as:

Aₙ = Aₙ₋₁ + 1

(ii) . Then the next number in the sequence will be equal to the previous number plus 1, this is:

7 + 1 = 8

8 + 1 = 9

The next numbers in the sequence is 8 , 9

(iii) . The position-to-term rule is the general one.

Here we need to know that, the first term, A₁ = 1

Then, the \(n^{th}\) term will be A₁ plus (n - 1) times 1.

Then the rule is:

Aₙ = A₁ + (n - 1)*1

Replacing A₁ by its value, the rule becomes:

Aₙ = 1 + (n - 1)*1

(iv) . We can assume that this is an arithmetic sequence, this is, the difference between any two consecutive terms is always the same, D.

5 - 4 = 1

6 - 5 = 1

7 - 6 = 1

So we can conclude that this is an arithmetic sequence, and the difference between any two consecutive terms is always 1.

Hence, Consecutive rule is works for the first three terms.

(b) . 10,11,12,13,.......,......

To check this, let's find the difference between the consecutive terms:

11 - 10 = 1

12 - 11 = 1

13 - 12 = 1

So, b is same to a.

(c) . 24,25,26,27,......,.....

To check this, let's find the difference between the consecutive terms:

25 - 24 = 1

26 - 25 = 1

27 - 26 = 1

(i) . The term-to-term rule is the rule that defines the \(n^{th}\) term based on the previous terms.

Here we already know that each term in this sequence is the previous one plus six, so we can write this as:

Aₙ = Aₙ₋₁ + 1

(ii) . Then the next number in the sequence will be equal to the previous number plus 1, this is:

27 + 1 = 28

28 + 1 = 29

The next numbers in the sequence is 28 , 29

(iii) . The position-to-term rule is the general one.

Here we need to know that, the first term, A₁ = 1

Then, the \(n^{th}\) term will be A₁ plus (n - 1) times 1.

Then the rule is:

Aₙ = A₁ + (n - 1)*1

Replacing A₁ by its value, the rule becomes:

Aₙ = 1 + (n - 1)*1

(iv) . We can assume that this is an arithmetic sequence, this is, the difference between any two consecutive terms is always the same, D.

25 - 24 = 1

26 - 25 = 1

27 - 26 = 1

So we can conclude that this is an arithmetic sequence, and the difference between any two consecutive terms is always 1.

Hence, Consecutive rule is works for the first three terms.

(d) . 1,3,5,7,......,......

To check this, let's find the difference between the consecutive terms:

3 - 1 = 2

5 - 3 = 2

7 - 5 = 2

(i) . The term-to-term rule is the rule that defines the \(n^{th}\) term based on the previous terms.

Here we already know that each term in this sequence is the previous one plus six, so we can write this as:

Aₙ = Aₙ₋₁ + 2

(ii) . Then the next number in the sequence will be equal to the previous number plus 1, this is:

7 + 2 = 9

9 + 2 = 11

The next numbers in the sequence is 9 , 11

(iii) . The position-to-term rule is the general one.

Here we need to know that, the first term, A₁ = 2

Then, the \(n^{th}\) term will be A₁ plus (n - 1) times 1.

Then the rule is:

Aₙ = A₁ + (n - 1)*1

Replacing A₁ by its value, the rule becomes:

Aₙ = 2 + (n - 1)*2

(iv) . We can assume that this is an arithmetic sequence, this is, the difference between any two consecutive terms is always the same, D.

3 - 1 = 2

5 - 3 = 2

7 - 5 = 2

So we can conclude that this is an arithmetic sequence, and the difference between any two consecutive terms is always 2.

Hence, Consecutive rule is works for the first three terms.

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Answer:

oh hi

Step-by-step explanation:

thx

why did the answer get deleted lol but hey free points thx

The researcher can only observe participants in the groups that already exist. It is possible that the researcher had no control over who wore corrective lenses and who did not.

A researcher is interested in studying the possible relationship between a person's yearly income and whether or not they need to wear corrective lenses.

To investigate, the researcher conducts an observational study by surveying a sample of 750 adults who are currently employed full-time and records whether or not the participant needs to wear corrective lenses, age, and the participant's yearly income.

From the results, the researcher creates two groups: corrective lenses and no corrective lenses. Then he compares the average yearly income between the two groups.

The researcher has chosen to perform an observational study (by conducting a survey) instead of a randomized experiment (by assigning participants to either the corrective lenses or no corrective lenses group at random) because the researcher does not have the authority or control to assign participants to the groups.

In observational studies, researchers do not assign participants to groups. They can only observe participants in the groups that already exist. It is possible that the researcher had no control over who wore corrective lenses and who did not.

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Answer:

b gang

Step-by-step explanation:

please give a more detailed question and i will be happy to try and help with your question

Answer:

GRADPOINT answer is 180

Step-by-step explanation:

Therefore, the only expression that is equivalent to 4^(3/5) is option F, (^5√4)³

We must multiply the denominator of 7 by a number that will give us 21 in order to generate equivalent fractions because we multiply both the numerator and the denominator by the same integer. By multiplying the numerator and denominator by 3, we can find a similar fraction because 3 x 7 = 21.

We can use the properties of exponents and radicals to simplify and compare the expressions:

4^(3/5) = (4^(1/5))³ = (^5√4)³

So the original expression is equivalent to (^5√4)³.

Now let's check each of the given expressions to see which ones are equivalent to (^5√4)³:

A. (^3√4)⁵ = 4^(5/3) ≠ (^5√4)³

B. ^3√4⁵ = ^3√1024 ≠ (^5√4)³

C. ^3√20 = 20^(1/3) ≠ (^5√4)³

D. ^5√64 = 2 ≠ (^5√4)³

E. ^5√12 = 12^(1/5) ≠ (^5√4)³

F. (^5√4)³ = (^5√4)³

Therefore, the only expression that is equivalent to 4^(3/5) is option F, (^5√4)³

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Answer:

m=\(\frac{23}{3}\) simplest form if you need it as a decimal its m=7.6

Step-by-step explanation: