Find the line parallel to y=5x+3 that includes the point (-1,6)

Write in y-y1=m(x-x1)​

Answer:

In the explanation

Hope this helps!

Step-by-step explanation:

a.

1. LCM of 2 & 5 is 10

2. [tex]\frac{15x}{10} =\frac{12}{10}[/tex]  -> 15x = 12

3. x = [tex]\frac{12}{15}[/tex] or [tex]\frac{4}{5}[/tex]

b.

1. LCM of 3 & 9 is 9

2. 2x - [tex]\frac{6}{9}[/tex] = [tex]\frac{4}{9}[/tex]  ->  2x = [tex]\frac{10}{9}[/tex]  ->  [tex]\frac{18}{9} x[/tex] = [tex]\frac{10}{9}[/tex]  ->  x = [tex]\frac{10}{9}[/tex] × [tex]\frac{9}{18}[/tex]  ->  x = [tex]\frac{10}{18}[/tex]  ->  x = [tex]\frac{5}{9}[/tex]

3. x = [tex]\frac{5}{9}[/tex]

The model predicts that the player should score around 17.47 points per game based on their 4.1 free throw attempts per game. However, the player's observed score of 13.7 points per game suggests that they may be underperforming compared to what would be expected based on this relationship.

Let us assume that the model predicts a linear relationship between points per game and free throw attempts per game, we can calculate the predicted value of points per game for this player using the regression equation

points per game = slope * free throw attempts per game + intercept

From the given data, we know that the slope of the regression line is 2.6 and the intercept is 7.1. Plugging in the values for this player, we get:

points per game = 2.6 * 4.1 + 7.1 = 17.47

So the model predicts that this player should score approximately 17.47 points per game, which is higher than the observed value of 13.7 points per game. This suggests that this player may be underperforming compared to what would be expected based on their free throw attempts per game.

However, just one player and there may be other factors that could affect their performance beyond just free throw attempts per game.

To know more about linear relationship:

https://brainly.com/question/11663530

#SPJ4

The magnet's area is approximately 3.14 square inches.

What is circle?

Every point in a horizontal surface that is a certain distance above another point forms a circle (center).

The area of a circle is given by the formula:

[tex]A = \pi r^2[/tex]

where π is approximately equal to 3.14 and r is the radius of the circle. Since the diameter of the magnet is given as 2 inches, the radius is half of that, or 1 inch.

Plugging this value into the formula, we get:

[tex]A = 3.14 * 1^2[/tex]

A = 3.14 square inches

Therefore, the magnet's area is approximately 3.14 square inches.

To know more about circle visit,

brainly.com/question/29142813

#SPJ1

The volume of the prism is approximately 4519.16 cubic centimeters.

We have,

To find the volume of the prism, we need to multiply the area of the base by the height.

The area of a regular pentagon can be found using the formula:

[tex]$A = \frac{5}{4} s^2 \cot(\frac{\pi}{5})$[/tex]

where s is the length of the side of the Pentagon.

We are given that the area of the pentagon is 45 cm².

Solving for s:

[tex]$45 = \frac{5}{4} s^2 \cot(\frac{\pi}{5})$\\[/tex]

[tex]$s^2 = \frac{4}{5} \cdot \frac{45}{\cot(\frac{\pi}{5})}$\\[/tex]

[tex]$s^2 \approx 28.478$\\[/tex]

[tex]$s \approx 5.334$[/tex]

Now that we know the length of a side of the pentagon, we can find the area of the base of the prism:

[tex]$A_{base} = 5 \cdot \frac{1}{2} s \cdot h$[/tex]

[tex]$A_{base} = 5 \cdot \frac{1}{2} \cdot 5.334 \cdot 13$[/tex]

[tex]$A_{base} \approx 346.935$[/tex]

Finally, we can find the volume of the prism:

[tex]$V = A_{base} \cdot h$[/tex]

[tex]$V = 346.935 \cdot 13$[/tex]

[tex]$V \approx 4519.16$[/tex]

Therefore,

The volume of the prism is approximately 4519.16 cubic centimeters.

Learn more about Prism here:

https://brainly.com/question/12649592

#SPJ1

The correct options are:

C. It is a hyperbola.

D. It is in quadrants I and II.

The reciprocal parent function is given by:

f(x) = 1/x

The graph of this function is a hyperbola, which opens up and down, and has vertical asymptotes at x = 0 (the y-axis).

The graph is in quadrants I and II, since x > 0 for positive values of y, and x < 0 for negative values of y.

The graph does not go through the origin (0,0), since f(0) is undefined. It is not a parabola, since a parabola is a U-shaped curve, which is not the shape of the reciprocal parent function.

Learn more about reciprocal parent function at https://brainly.com/question/30936047

#SPJ1

The equation "y equals negative one fourth times x plus 5" represents a linear function.

A linear function is a function whose graph is a straight line. The equation of a linear function can be written in the form y = mx + b, where m is the slope of the line and b is the y-intercept.

Out of the given equations, only "y equals negative one fourth times x plus 5" can be written in the form y = mx + b, where m = -1/4 and b = 5.

Therefore, the equation "y equals negative one fourth times x plus 5" represents a linear function.

Read more about linear functions at

https://brainly.com/question/30318449

#SPJ1

The volume of the ball is 904.78 cubic cm

We know that the formula for the volume of sphere is:

V = (4/3) × π × r³

where r is the radius of the sphere

Here, Michael fills a plastic ball with air until it is a sphere with a radius of 6 cm.

So, the radius of spherical ball r = 6 cm

Using above formula of volume of sphere, the volume of the ball would be,

V = (4/3) × π × r³

V = (4/3) × π × (6)³

V = (4/3) × π × 216

V = 904.78 cubic cm

Therefore, the required volume = 904.78 cubic cm

Learn more about the volume of sphere here:

https://brainly.com/question/9994313

#SPJ4

The Inequality which ensure triangle exists is 22 > 4x > 7.

Inequality is defined as the relation between two quantities with the sign of inequality that is >, <, ≤ , ≥ ."

Theorem used In ΔABC,

AB + BC >AC

AC+ BC >AB

AC + AB > BC

According to the question,

In triangle ABC.

AC = 18units

BC = 6x units,

AB = 2x + 4 units

.

Substitute the value in the inequality to ensure triangle exists we get 4x > 7 and 22 > 4x.

From (1) and (2) inequality of triangle we get 22 > 4x > 7.

Hence, Inequality which ensure triangle exists is 22 > 4x > 7.

Learn more about Inequalities on

https://brainly.com/question/11317965

#SPJ1

Which inequality represents the values of that ensure triangle exists? a triangle with these side lengths: AC = 18 units, BC = 6x units, and AB = 2x + 4 units

The required vertex form from the given points (-2, 0) is f(x) = a(x – h)2 + k respectively.

A polynomial of degree two in one or more variables is known as a quadratic polynomial in mathematics.

A quadratic function is a polynomial function that a quadratic polynomial defines.

The graph of a quadratic function resembles a parabola.

A polynomial equation with a maximum degree of two is referred to as a quadratic equation. Where a 0, the equation is given by ax² + bx + c = 0.

A quadratic function has the vertex form f(x) = a(x - h)2 + k, where a, h, and k are constants.

So, we have the points:
(-2, 0)

Now, insert the values in the form: f(x) = a(x – h)2 + k

Where, a, h, and k are constants.

Then, the vertex form would be:

f(x) = a(-2 – h)2 + k

Therefore, the required vertex form from the given points (-2, 0) is f(x) = a(x – h)2 + k respectively.

Know more about the quadratic function here:

https://brainly.com/question/1214333

#SPJ1

The measures of the other two angles in the parallelogram are both 143 degrees.

A parallelogram is a quadrilateral with two sides that are parallel to one another. A parallelogram has equal-length opposite sides and equal-length opposite angles. The internal angles that are extra to the transversal on the same side. A parallelogram's total interior angles add up to 360 degrees.

A parallelogram is formed by the junction of two parallel lines, and its opposite angles are equal.

Then, there are two 35 degree angles. Two further angles that are equivalent are noted: A parallelogram's angles add up to 360 degrees. Following that, x+x+37+37=360

2x=360-74

2x=286

x=143.

To know more about parallelogram visit:

brainly.com/question/29147156

#SPJ1

The Monthly Budget for fast food is Option A. $136.

To determine how much money you should budget for fast food, we need to calculate the total amount of money you spend on fast food each week. To do this, we simply multiply the cost of one fast food meal by the number of meals you buy in a week, which is four in this case.

$850 x 4 = $3400 per week

Next, we need to figure out how much money you spend on fast food per month. To do this, we need to multiply the weekly amount by the number of weeks in a month. Most months have around four weeks, so we will use that as an estimate.

$3400 x 4 = $13600 per month

Therefore, the answer is Option A. $136. You should budget around $136 per month for fast food if you buy it four times a week and it costs you about $850 each time.

To know more about Mathematical Operation  here

https://brainly.com/question/20628271

#SPJ4

The area under the X2 curve with 5 degrees of freedom to the right of 1.61, 9.24 and 15.09 is 0.078, 0.0001 and 0 respectively.

Area is a two-dimensional measure of a surface, such as a length multiplied by a width. It is used to measure the size of a space, such as a room, or a piece of land. Area can also be used to measure the size of a shape, such as a circle or a square. Area is usually measured in units such as square meters (m2) or square feet (ft2).

(a)1.61

The area under the X2 curve with 5 degrees of freedom to the right of 1.61 can be calculated using the following formula:

Area = 1 - Φ(x; df)

Where Φ(x; df) is the cumulative distribution function of the chi-square distribution, and df stands for the degrees of freedom.

For df = 5, Φ(1.61; 5) = 0.922.

Therefore, the area under the X2 curve with 5 degrees of freedom to the right of 1.61 is equal to 1 - 0.922 = 0.078.

(b) 9.24

For df = 5, Φ(9.24; 5) = 0.9999.

Therefore, the area under the X2 curve with 5 degrees of freedom to the right of 9.24 is equal to 1 - 0.9999 = 0.0001.

(c) 15.09

For df = 5, Φ(15.09; 5) = 1.

Therefore, the area under the X2 curve with 5 degrees of freedom to the right of 15.09 is equal to 1 - 1 = 0.

In conclusion, the area under the X2 curve with 5 degrees of freedom to the right of 1.61, 9.24 and 15.09 is 0.078, 0.0001 and 0 respectively.

Complete questions as follows-

find the area under the x2 -curve with 5 degrees of freedom to the right of (a) 1.61 (b) 9.24 (c) 15.09.

To know more about area click-

brainly.com/question/16519513

#SPJ1

Using simple interest his interest is $ 1165.50  

Simple interest is given by I = PRT/100 where

Given that Tucker deposits an amount of $7400 in an account that pays 3.15 % simple interest. Since he keep the amount in the account for 5 years without making any withdrawal or deposits, we need to find the amount of interest after 5 years.

Using the simple interest formula,

I = PRT/100

Given that

So, substituting the values of the variables into the equation, we have that

I = PRT/100

I = $ 7400 × 3.15 % × 5/100

= $ 74 × 315 × 5/100

= $ 116550/100

= $ 1165.50

So, his interest is $ 1165.50  

Learn more about simple interest here:

https://brainly.com/question/30964674

#SPJ1

Answer:

Step-by-step explan             456

Step-by-step explanation:

Welll.... there are EIGHT of them that total 1080

1080 / 8 = 135 degrees each

The solution to the linear function M(x) = 180 is of x = -5.

The linear function equation is the slope-intercept form. Thus, it is expressed as f(x) = mx + b where m is the slope and b is the y-intercept of the line.

In this problem, the function is defined as follows:

M(x) = 120 - 12x.

M(x) represents the balance remaining on the gift card after x movie tickets priced at $12 are purchased.

The domain of the situation is given as follows:

x ≥ 0. {discrete}

As the number of tickets cannot assume negative neither decimal values.

The equation is:

M(x) = 180.

The solution is calculated as:

120 - 12x = 180

12x = -60

x = -60/12

x = -5.

Learn more about Linear function at:

https://brainly.com/question/21107621

#SPJ1

The true statements are:

A. Elena would be more likely to get an accurate estimate of the mean speed of the population by sampling 60 cars instead of sampling 30 cars.

C. Another random sample of 30 cars is likely to have a mean between 24 and 36 miles per hour.

Mean Absolute Deviation (MAD) is a measure of variability in a set of numerical data. It is calculated by finding the average absolute difference between each data point and the mean of the dataset.

Learn about mean here https://brainly.com/question/1136789

#SPJ1

However, each beaker would have the following if there were, say, five beakers: 2.5 units of water are equal to 8.5/5.

Typically, it is expressed in geometric units, which including cubic metres (m3), cubic centimetres (cm3), or cubic feet (ft3), depending on the length unit being used. A formula that is based on an object's shape can be used to determine its volume. The volume of such a rectangular prism, for instance, can be determined by utilizing the formula V = lwh, where l stands for length, w for width, and h for height. A cylinder's volume can be calculated using the formula V = r2h, where r denotes the circle of the base and h the height.

given

We can simply sum the numbers supplied to determine the total volume of water in all the beakers:

1/4 x 6 + 3/4 x 2 + 1/2 + 1 1/4 + 1 1/2 + 1 3/4

= 1.5 + 1.5 + 0.5 + 1.25 + 1.5 + 1.75 (converting mixed values to improper fractions)

= 8.5

8.5 units of water are therefore present in all of the beakers.

Each beaker will have 8.5 divided by the number of beakers if this water is distributed equally among them.

We are unable to provide a precise response since we are unsure of the number of beakers.

However, each beaker would have the following if there were, say, five beakers: 2.5 units of water are equal to 8.5/5.

To know more about volume visit :-

https://brainly.com/question/1578538

#SPJ1

The inverse of the graphs are added as an attachment

To plot the inverse of a graph, you can follow these steps:

See attachment for the graphs

Read more about inverse functions at

https://brainly.com/question/3831584

#SPJ1

The correct statement is "The two triangles are the same shape but not the same size."

Both triangles will have three congruent sides and three congruent angles, which means they will be equilateral and equiangular. However, since the side lengths are different, the triangles will be different in size. In other words, one triangle will be larger than the other.

To see why they cannot be the same size, imagine drawing a line from one vertex of each triangle to the opposite side. Since both triangles are equilateral, these lines will bisect the opposite side and form two congruent right triangles. The hypotenuse of the larger triangle (with side length 5) will be longer than the hypotenuse of the smaller triangle (with side length 4), which means the two triangles are not the same size.

Learn more about triangles https://brainly.com/question/1058720

#SPJ1

The correct graph for the given data is given by option The bar graph x axis labeled sport and the y axis labeled number of students, with each having value as basketball -17, baseball-12, soccer - 27, and tennis - 44.

Because the data shows discrete categories (sports) and their related frequencies, the correct graph is a bar graph (number of students).

The x-axis is to be named "Sports" to represent the various sports (Basketball, Baseball, Soccer, and Tennis), and the y-axis has to be labelled "Number of Students" to reflect the frequency. The graph's bars will show the frequency of each sport, with the heights of the bars giving the number of students who identified each sport as their favourite. The right values for the bars should be based on the data provided:

[tex]Basketball: 17\\Baseball: 12\\Soccer: 27\\Tennis: 44[/tex]

Learn more about graphs here:

https://brainly.com/question/17267403

#SPJ1

According to the given information, the perimeter of the given right-angle triangle is 30ft.

Pythagoras' theorem is a fundamental principle in geometry that states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

We can use the Pythagorean theorem to find the length of the missing side of the right triangle, BC:

[tex]BC^2 = AB^2 - AC^2\\BC^2 = 13^2 - 12^2\\BC^2 = 169 - 144\\BC^2 = 25[/tex]

BC = 5

Now that we know all three sides of the triangle, we can find the perimeter by adding them together:

Perimeter = AB + AC + BC

Perimeter = 13 + 12 + 5

Perimeter = 30

Therefore, according to the given information, the perimeter of the given right-angle triangle is 30ft.

To know more about Pythagoras theorem visit:

https://brainly.com/question/343682

#SPJ1

after calculating both the expressions we can conclude that both expressions represent the same value of 12.

Mathematical operations including multiplication, division, addition, and subtraction are possible. The construction of an expression looks like this: Expression, number, and mathematical operator Numbers, variables, and functions are the elements of a mathematical expression (such as addition, subtraction, multiplication, and division, etc.). Expressions and phrases can be contrasted. Expressions are any equations that comprise numbers, variables, and an arithmetic operation. They are occasionally referred to as algebraic expressions. For instance, the value of m in the computation of 4m + 5 is the same as the word m in the provided equation, which has been separated from the figures 4m and 5 by the mathematical symbol +.

given,

Since subtracting a negative integer is equivalent to adding its positive counterpart, the expressions "10 - (-2)" as well as "-10 + 2" have the same meaning.

To be more precise, "10 - (-2)" denotes starting with a value of 10 and then deducting a negative value of -2. The positive value of an amount that is negative may be subtracted without affecting it, and vice versa. Therefore, "10 - (-2)" equals "10 + 2," making 12 the result.

The expression "-10 + 2" on the opposite hand suggests that we start with an amount of -10 and subsequently add a value of 2.

A positive number is equal to its negative counterpart when added to a negative number. Because of this, "-10 + 2" equals "-10 - (-2)", which also equals 12.

Therefore, both expressions represent the same value of 12.

To know more about expressions visit :-

https://brainly.com/question/14083225  

#SPJ1

The measure of the differences of all observations from the mean, expressed as a single number is called the "standard deviation". It is a commonly used measure of the amount of variability or dispersion within a set of data.

The standard deviation is calculated by taking the square root of the variance, which is the average of the squared differences between each observation and the mean.

It is expressed in the same units as the data itself, and provides a way to understand how spread out the data is from the average or mean value.

A small standard deviation indicates that the data points tend to be close to the mean, while a large standard deviation indicates that the data points are more spread out.

The standard deviation can be used to compare the variability of different sets of data, and can also be used in statistical tests to determine if the difference between two sets of data is statistically significant.

for such more question on standard deviation

https://brainly.com/question/475676

#SPJ11

The difference in the two figure's areas is 96 square units.

The height of the horse trough is 4 feet.

No. 11

The area of Figure A is:

A = l * w = 12 * 8 = 96 square units

The area of Figure B is:

B = l * w = 16 * 12 = 192 square units

The difference in the two figure's areas is:

B - A = 192 - 96 = 96 square units

Therefore, the difference in the two figure's areas is 96 square units.

No. 12

We are given that the base area is 24 square feet, and the volume  is 96 cubic feet.

Volume = base area * height

96 = 24 * height

height = 96/24

height = 4 feet

Therefore, the height of the horse trough is 4 feet.

Learn more about area on:

https://brainly.com/question/2607596

#SPJ1

Answer:...............

Step-by-step explanation:

...................

The loan that will have a lower balance and the amount is D. The Stafford loan will have a lower balance by $274.54 at the time of repayment.

First, find the future balance of the PLUS Loan by the formula :

= Principal x ( 1 + monthly interest rate ) ^ number of months

= $ 11, 443.63 x ( 1 + 0. 005458 ) ⁶

= $ 11, 443.99

Then, find the future balance of the unsubsidized Stafford Loan with the same formula :

= 10, 720 x (1 + 0. 004958) ¹⁸

= $ 11, 169.46

This shows that the unsubsidized Stafford Loan would have a lower balance and the difference would be :

=  $11, 443.99 - $11, 169.46

=  $ 274.54

Find out more on loan balance at https://brainly.com/question/31440073

#SPJ1

Answer:

31.97⁰ to the nearest hundredth.

Step-by-step explanation:

sin x = opposite side / hypotenuse

        = 9/17

x = 31.9657