Write a y=mx+b equation that has a slope of -1/7. Passes through the point (-2, 4)

Answers

Answer 1

Answer:y=-1/7x+26/7

Step-by-step explanation: y=mx+b substitute m=-1/7

y=-1/7x+b

The line passes through the point (-2,4)

This means x=-2 and y=4 must be substituted in the above equation

4=-1/7*-2+b

4=2/7+b

Solve for b

To get b on its own we need take 2/7 from both sides

4-2/7=2/7-2/7+b

26/7=b

Need to solve 4/1-2/7

Must make denominators the same

Multiply top and bottom by 7

4*7/1*7-2/7

28/7-2/7=26/7


Related Questions

Suppose that x is normally distributed with mean 80 and standard deviation 25. What is the probability that x is greater than 77. 5?

Answers

The probability that x is greater than 77. 5 is 0.039828

Given,

Mean, μ = 80

Standard deviation, σ = 25

We have to find z score corresponding to 77.5

z = (x-μ) / σ

   \(=\frac{77.5-80}{25} \\= 0.1\)

Now we have to find P value from Z table:

P(x<77.5) = 0.46017

P(x>77.5) = 1 - P(x<77.5) = 0.53983

P(77.5<x<80) = 0.5 - P(x<77.5) = 0.039828

The probability of x greater than 77.5 is 0.039828

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the diagonals of rhombus WXYZ intersect avfm angle w z x equals 39.5 find M angle zyx

the diagonals of rhombus WXYZ intersect avfm angle w z x equals 39.5 find M angle zyx

Answers

Since WXYZ is a rhombus, the diagonal segment ZX bisects the angle WZY. Therefore,

Since WXYZ is a rhombus, segment WZ is parallel to segment XY and segment ZY is a transversal. So,

Therefore, the measure of the angle ZYX is 101.

the diagonals of rhombus WXYZ intersect avfm angle w z x equals 39.5 find M angle zyx
the diagonals of rhombus WXYZ intersect avfm angle w z x equals 39.5 find M angle zyx

Jude is making a door for a door frame with an opening that measures 9 feet by 3 feet. Which diagonal length should he use to make a door that fits in the door frame?
10 feet
3 StartRoot 10 EndRoot feet
6 StartRoot 2 EndRoot feet
12 feet

Answers

Answer:

12

Step-by-step explanation:

9+3=12. therefore 12 is your answer

Answer:

12 feet

Step-by-step explanation:

Paul drove 4 kilometers to the amusement park.
Bethany drove 432 meters to the same park.
Who drove farther?
PLEASE HELP ME

Answers

Answer:

Paul did

Step-by-step explanation:

4 Kilometers is equal to 4,000 meters

and since Bethany only drove 432 meters Paul drove mpre

4,000 > 432

The local bike shop sells a bike and accessories package for $266. If the bike is worth 6 times more than the accessories, how much does the bike cost?.

Answers

Do 6x 266 in your calculator that’s ur answer

The cost of the bike is $40 and that accessories is $6.65

What are words problem?

A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

Let the cost of the accessories be x, therefore, the cost of the bike is 6x,

According to the equation,

6x × x = 266

6x² = 266

x² = 44.33

x = 6.65

Therefore, the cost of the bike is = 6 × 6.65 = 39.94 ≈ 40

Hence, the cost of the bike is $40 and that accessories is $6.65

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a light year is defined as 5.88 times 10^12 miles: the distance that light travels in 1 year. How far will light travel in 3 years?

Answers

The distance that light will travel in 3 years, given the speed it travels in one year is

How to find the speed travelled ?

The notion of a Light Year allows us to quantity the distance that light travels in an entire year. This has allowed scientists to quantify with more ease, the distance to other galaxies and planets.

The distance that light travels in a year is 5. 88 x 10¹² miles.

In 3 years therefore, the distance would be:

= 3 x ( 5.88 x 10 ¹²)

= 17.64 x 10 ¹² miles

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Given the function g of x is equal to the quantity 2 x squared plus 4 x plus 6 end quantity over the quantity x plus 4 end quantity determine the equation for the slant asymptote. (2 points)
y = −2x + 4
y = 2x − 4
y = 2x + 4
y = 2x + 12

Answers

The equation for the slant asymptote of the given function is y = 2x - 4.

Option (B) is correct.

What is the slant asymptote of the function?

A slant asymptote of a function is a line that the function approaches, but never touches or crosses. It is a type of asymptote that occurs when the degree of the numerator of a rational function (a function that can be written as the ratio of two polynomials) is greater than the degree of the denominator.

To determine the equation for the slant asymptote of a rational function (a function that can be written as the ratio of two polynomials), we need to look at the degree (the highest power of x) of the numerator and the degree of the denominator.

The function g(x) = (2x^2 + 4x + 6) / (x + 4)

The degree of the numerator is 2 and the degree of the denominator is 1, since the x^2 is the highest power of x in numerator and x is the highest power of x in denominator.

Since the degree of the numerator is greater than the degree of the denominator, the slant asymptote will have the same degree as the numerator, which is 2.

To find the equation of the slant asymptote, we divide the numerator by the denominator using the long division method and get

2x + 2 - (x + 2)/(x + 4)

The equation of the slant asymptote will be the result of the long division, which is 2x - 4

Hence, the equation for the slant asymptote of the given function is y = 2x - 4

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sectors of circle. east points, this is due tomorrow help is appreciated

sectors of circle. east points, this is due tomorrow help is appreciated

Answers

By knowing the circumference of the base of the cone, we see that the radius is 4 centimeters.

How to find the radius of the cone?

Notice that in the first figure, the length of the arc AB is L = 8π cm.

Then, that arc will be the bottom part of the cone. Then we can see that the circumference of the base of the cone will be equal to the length of the arc.

And remember that for a circle of radius R (like the base of the cone), the circumference is:

C = 2πR.

Then we will get:

8π cm = C =  2πR

( 8π cm)/ 2π = R

4cm = R

The radius of the cone is 4cm.

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how much does 5000 shekels of bronze weigh

Answers

Answer:1250

Step-by-step explanation:

What is the answer to this

Answers

Answer:

Nothing because where is the problem or question?

Step-by-step explanation:

Answer:

You have to attach the link or copy and paste the questions so I can see what your talking about and I can answer it.

Step-by-step explanation:

Find the slope of the line on the graph. Reduce all fractional answers to lowest terms.
-4. -1. -2

Find the slope of the line on the graph. Reduce all fractional answers to lowest terms.-4. -1. -2

Answers

Answer:

-1

Step-by-step explanation:

Show that the equation x ^ 3 + 6x - 10 = 0 has a solution between x = 1 and x = 2​

Answers

One way to prove a solution is between two numbers is to prove that one number is negative and the other is positive. This means the graph must cross 0 between the points and thus there is a solution.

So all we have to do is plug in 1 and 2 for x and prove one is negative and the other is positive.

If we plug in 1, we get -3. If we plug in 2, we get positive 10. This means there is a solution!
Show that the equation x ^ 3 + 6x - 10 = 0 has a solution between x = 1 and x = 2

Pls help. Write an equation where the solution is 2.

Answers

Answer:

Step-by-step explanation:

x = 2 works lol

but if you want a more complicated one:

4x - 4 = 4

there's infinite equations

What is the measure of x?

What is the measure of x?

Answers

Answer:

105+54=x

Step-by-step explanation:

how many ounces is 250 ml?

Answers

250 ml is equivalent to 8.4535 ounces, making it a simple conversion to remember. Keep in mind that when converting between ounces and milliliters, it is important to use accurate conversion factors to ensure that your measurements are accurate.

Ounces and milliliters (ml) are both units of measurement for volume. Ounces are commonly used in the United States and some other countries, while milliliters are widely used in the metric system.

One important thing to remember is that 1 ounce equals 29.5735 milliliters.

To convert 250 ml to ounces, we divide 250 by 29.5735. Therefore, 250 ml is approximately equal to 8.4535 ounces. Understanding the conversion between ounces and milliliters is important, especially in the field of cooking, baking, and medicine.

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according to gallup (usa today, 2012), mean daily spending by americans earning over $90,000 per year was $136 per day.The discretionary spending excluded home purchases, vehicle purchases, and regular monthly bills. Let and assume that a uniform probability density function applies with f(x)=.00625 for a≤x≤b.Find the values of a and b for the probability density function.

Answers

The values of a and b for the probability density function are a = 56 and b = 216.

According to the given information, the mean daily spending by Americans earning over $90,000 per year was $136 per day, and the probability density function is given by f(x) = 0.00625 for a ≤ x ≤ b.

To find the values of a and b for the probability density function, we can use the formula for the mean of a uniform distribution:

mean = (a + b)/2

Substituting the given mean value of $136 into the formula, we get:

136 = (a + b)/2

Multiplying both sides of the equation by 2, we get:

272 = a + b

Rearranging the equation, we get:

b = 272 - a

Now, we can use the formula for the area under the probability density function, which is equal to 1:

∫_a^b f(x) dx = 1

Substituting the given probability density function and the value of b into the formula, we get:

∫_a^(272-a) 0.00625 dx = 1

Simplifying the integral, we get:

0.00625(272 - 2a) = 1

Dividing both sides of the equation by 0.00625, we get:

272 - 2a = 160

Rearranging the equation, we get:

2a = 112

Dividing both sides of the equation by 2, we get:

a = 56

Substituting the value of a back into the equation for b, we get:

b = 272 - 56 = 216

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Mr. James bought 2 magazines for $9.99 each and 3 books for $12.60. If the sales tax is 7%, what
was the total cost of Mr. James' purchases? Round to nearest cents.

Answers

Answer:

$61.82

Step-by-step explanation:

2(9.99) + 3(12.60) = $57.78

Now that we know the total, let's find out how much is 7% of the total.

57.78 * 0.07 = approx. 4.04

Now, add that value to the total:

57.78 + 4.04 = $61.82

Answer:

$61.82

Step-by-step explanation:

$9.99 x 2 = $19.98

$12.60 x 3 = $37.80

$19.98 + $37.80 = $57.78

$57.78 x 7 = 404.46

404.46 divided by 100 = 4.0446

$57.78 + $4.04 = $61.82

FILL IN THE BLANK. let . find the line integral of around the perimeter of the rectangle with corners ____traversed in that order.

Answers

The line integral of a vector around the perimeter of a rectangle with corners (x0, y0), (x1, y1), (x2, y2), and (x3, y3) traversed in that order.

What is perimeter?

A closed path which encompasses, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter. There are numerous uses in real life for perimeter calculations. The measurement of the fence needed to completely enclose a yard as well as garden is called the perimeter. How far a wheel or circle will roll inside one revolution is determined by its circumference, or perimeter.

To find the perimeter by adding up the side lengths of various shapes.

The line integral starts from the first corner to the last corner of the rectangle and it shows that both the x and y values.

(x0,y0)-first corner point
(x1,y1)-second corner point
(x2,y2)-third corner point
(x3,y3)-four corner point

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Which of the following expresses the possible number of positive real
solutions for the polynomial equation shown below?
5x3 + x2 + 7x – 28 = 0
A. One
B. Two or zero
C. Two
D. Three or one

Which of the following expresses the possible number of positive realsolutions for the polynomial equation

Answers

Answer:

A. One

Step-by-step explanation:

Look at the last term, - 28.

It means, the product of roots is a positive number (28).

The polynomial is a degree three so it has 3 possible roots.

Positive product can be obtained if all 3 numbers are positive or 2 negative and 1 positive.

Therefore number of positive roots is one or three.

Further, double check using the graphical solution (see attached), it shows one root only. It means the other roots are complex.

Correct option is A

Which of the following expresses the possible number of positive realsolutions for the polynomial equation

12. Jason wants to walk the shortest distance to get
from the parking lot to the beach.
Refreshment
Stand
40 m
Beach
30 m
Parking
Lot
a.
How far is the spot on the beach from the
parking lot?
How far will his place on the beach be from
the refreshment stand?
b.

12. Jason wants to walk the shortest distance to getfrom the parking lot to the beach.RefreshmentStand40

Answers

Answer:

I don't know

Step-by-step explanation:

but I am I sure that I can you please give it a shot if the harbor though I will Unite it to the wind strength and I will Unite it to the next level up and I will

Answer:

A. 25m B. 32m

Step-by-step explanation:

The hypotenuse of a triangle must be longer than the other sides.

can anyone help me with this problem ?
I don't really understand this? ​

can anyone help me with this problem ? I don't really understand this?

Answers

Answer:

Step-by-step explanation:

Sum of 3 angles of a triangle= 180

3x-2+x+11+4x+3= 180

Separate x terms from constants

3x+x+4x-2+11+3= 180  

8x+12= 180

8x= 180-12

8x= 168

x= 168/8

x= 21

Put the value of x in angles:

3x-2=3(21)-2= 63-2= 61

x+11= 21+11= 32

4x+3= 4(21)+3= 84+3= 87

If you want to check whether your answer is right or wrong, you can cross-check by adding the 3 angles

61+32+87= 180.

Hope this will help :)

It takes 3 hours to drive 180 miles. How long will it take to drive 330 miles?

Answers

Answer:

5.5

Step-by-step explanation:

180/3 =60 (60/1 hr)

330/60 =5.5

Level 4
3.
One of the largest sewing machines in the world has a flywheel (which turns as the machine sews) that is 5
feet in diameter. The highest point of the handle at the edge of the flywheel is 9 feet above the ground, and
the lowest point is 4 feet. The wheel makes a complete turn every 2 seconds. Write a model for the height h
(in feet) of the handle as a function of the time t (in seconds) given that the handle is at its lowest point when
t = 0.

Answers

Answer:

To solve this problem, let's break it down step by step.

1. Find the difference in height between the highest and lowest point of the handle:

The difference in height is 9 feet - 4 feet = 5 feet.

2. Calculate the circumference of the flywheel:

The circumference of a circle can be found using the formula C = πd, where C is the circumference and d is the diameter.

The diameter is given as 5 feet, so the circumference is C = π(5) = 5π feet.

3. Determine the vertical distance covered by the handle in one revolution of the flywheel:

Since the handle is attached to the edge of the flywheel, it moves in a circular path as the flywheel rotates.

The circumference of the flywheel represents the distance covered by the handle in one revolution.

Therefore, the vertical distance covered is also 5π feet.

4. Calculate the speed of the handle:

The wheel makes a complete turn every 2 seconds, which means it completes one revolution in 2 seconds.

Therefore, the speed of the handle is the vertical distance covered (5π feet) divided by the time taken (2 seconds):

Speed = (5π feet) / (2 seconds) = (5/2)π feet per second.

So, the handle of the sewing machine moves at a speed of (5/2)π feet per second.

answer quickly please!! Emily has a road map with a key that shows an inch on the map equals 4 miles of actual distance. She will drive on two roads to get to the beach. One road is 4 inches long on the map. The other road is 3 inches long. What is the actual distance Emily will drive to the beach? Complete the rule you used to find the actual distance.

Answers

Answer:

5 inches though I'm not sure

3. a shuttle operator has sold 20 tickets to ride the shuttle. all passengers (ticket holder) are independent of each other, and the probability that a passenger is part of the frequent rider club is 0.65 (65% chance they are part of the group and 35% chance they are not). let x be the number of passengers out of the 20 that are part of the frequent rider club. a. what type of distribution does x follow? write the probability mass function (f (x)), and name its parameters.

Answers

The probability mass function for this problem is f(x) = C(20, x) * (0.65)^x * (0.35)^(20-x). The parameters for this binomial distribution are n=20 (number of trials) and p=0.65 (probability of success).

Based on the given information, x follows a binomial distribution since each passenger either belongs to the frequent rider club or not, with a fixed probability of 0.65 for success (being a member of the club) and 0.35 for failure (not being a member). The probability mass function (f(x)) for this distribution can be written as f(x) = (20 choose x) * 0.65^x * 0.35^(20-x), where (20 choose x) represents the number of ways x passengers can be chosen from a total of 20 passengers. The parameters for this distribution are n = 20 (the total number of passengers) and p = 0.65 (the probability of success).
Hi! Based on your question, the variable X follows a binomial distribution since it represents the number of successes (frequent rider club members) out of a fixed number of independent Bernoulli trials (20 passengers). The probability mass function (f(x)) for a binomial distribution is given by:
f(x) = C(n, x) * p^x * (1-p)^(n-x)
where:
- C(n, x) represents the number of combinations of n items taken x at a time (n choose x)
- n is the number of trials (20 passengers in this case)
- x is the number of successes (number of frequent rider club members)
- p is the probability of success (0.65 for a passenger being part of the frequent rider club)
- (1-p) is the probability of failure (0.35 for a passenger not being part of the frequent rider club)

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what is equivlent to 15x-20

Answers

5(3x+4y) is equivalent to 15x-20 !

A mobile phone company offers a data-only plan for a monthly charge of $15, plus an additional $10 for each gigabyte of data used. Which of the following equations can be used to calculate the total monthly cost, c, in dollars based on the number of gigabytes, g, of data used?

Answers

C(g) = 10 + 15g

C'(g) = 80

The monthly charges of Company C for using 2 Gigabyte of data usage.

Step-by-step explanation:

The cell phone plan from Company C costs $10 per month, plus $15 per gigabyte for data used. The plan from Company D costs $80 per month, with unlimited data.

Now, the monthly cost in Company C for using g gigabyte of data will be  

C(g) = 10 + 15g ........ (1)

Again, the monthly cost in Company D for using g gigabyte of data will be  

C'(g) = 80 ......... (2)

Now, from equation (1), the statement C(2) = 10 + 15 × 2 = 40, means that monthly charges of Company C for using 2 Gigabyte of data usage. (Answer)

I don't understand how to do this problem 3x + y =9

Answers

Answer:

35

Step-by-step explanation:

What is the importance of making connections with the real world
when teaching math concepts? What are some real-world applications
of geometry that would be appropriate for young
learners?

Answers

These real-world applications help young learners see the practical applications of geometry and develop a deeper understanding of geometric concepts while making learning more engaging and meaningful.

Relevance: Connecting math to real-world applications helps students see the practical value and relevance of the concepts they are learning. It provides a meaningful context and motivation for learning.

Engagement: Real-world applications make math more interesting and engaging for students. It brings concepts to life and helps students see how math is used in everyday life.

Deep understanding: By applying math concepts to real-world situations, students develop a deeper understanding of the concepts and their connections. It promotes critical thinking, problem-solving skills, and the ability to apply mathematical knowledge in different contexts.

Transferability: Real-world applications help students see how math concepts can be transferred and applied to various situations. It promotes the ability to apply learned concepts to new and unfamiliar problems.

Some real-world applications of geometry that would be appropriate for young learners include:

Measurement: Young learners can apply geometric concepts to measure and compare the lengths, areas, and volumes of objects in their environment. For example, measuring the length of a room, comparing the sizes of different shapes, or estimating the volume of a container.

Navigation and Maps: Young learners can use geometry to understand maps, directions, and spatial relationships. They can learn about reading maps, understanding coordinates, and finding distances between locations.

Architecture and Construction: Exploring geometric shapes, angles, and symmetry can help young learners understand the principles of architecture and construction. They can design and build simple structures using different shapes and understand the importance of stability and balance.

Art and Design: Geometry plays a significant role in art and design. Young learners can explore symmetry, patterns, and shapes in various art forms. They can create tessellations, explore rotational symmetry, or design patterns using geometric shapes.

Everyday Objects: Geometry is present in everyday objects around us. Young learners can identify and classify shapes in their environment, such as identifying spheres, cubes, cylinders, and cones in objects like balls, boxes, cups, and ice cream cones.

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10 points
5) Which equation describes the function based on the data in the table
below. *

10 points5) Which equation describes the function based on the data in the tablebelow. *

Answers

Answer:

Option 4, y = \(\frac{-1}{2}\)x + 3

We can use the process of elimination with this problem;

     Right away I can tell that option 1 and option 3 are incorrect. Because we have the point (0, 3) the y-intercept will be + 3, option 2 and option 4 have this.

     Next, I can see that the y-values are going down, so the slope must be negative. This leaves me with option 4.

     I have also graphed a graph containing the points and option 4 so you can see it all lines up.

-> See attached

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

10 points5) Which equation describes the function based on the data in the tablebelow. *
10 points5) Which equation describes the function based on the data in the tablebelow. *
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