Select the equation for the line crossing the points (3,¹/2) and (5,5).​

Answers

Answer 1

The equation of the line is (b) y = 2.25x - 6.25

How to determine the equation of the line

From the question, we have the following parameters that can be used in our computation:

Points = (3, 1/2) and (5, 5)

A linear equation can be represented as

y = mx + c

Substitute the known values in the above equation, so, we have the following representation

1/2 = 3m + c

5 = 5m + c

Subtract the equations

2m = 4.5

Divide by 2

m = 2.25

Substitute m = 2.25 in 5 = 5m + c

5 = 5 * 2.25 + c

So, we have

c = 5 - 5 * 2.25

Evaluate

c = -6.25

Recall that

y = mx + c

So, we have

y = 2.25x - 6.25

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Complete question

Select the equation for the line crossing the points (3,1/2) and (5,5).​

(a) y = 5x + 2

(b) y = 2.25x - 6.25

(c) y = 2.25x + 6.25

(d) y = -5x - 2


Related Questions

Is this statement true or false?

Answers

TRUE: The given condition is correct that m ≤ 10 and m > 4.

Explain the term inequality of the numbers?An inequality in mathematics depicts the relationship between these two values in an unbalanced algebraic expression. A sign of inequality can be used to show that one of the two variables is larger than, greater than or comparable to, less than, or equal to some other value.Equal does not imply inequality. Typically, we use the "not equal sign (≠)" to indicate that two parameters are not equal. But several inequalities are utilized to compare the numbers, either it is less than or higher than.

For the given statement;

m ≤ 10 and m > 4, the number for the value of m be;

m = 5, 6, 7, 8, 9, 10.

Thus, the given condition is correct that m ≤ 10 and m > 4.

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Which is an equation of a line that passes through the point (-1, -4 and has an undefined slope?

Answers

To have a undefined slope it has to be a vertical line x = -1

What is the interest earned in a savings
account after 12 months on a balance of
$3500 if the interest rate is 1.5% APY
compounded yearly?

Answers

Answer:

The interest earned on a savings account with a balance of $3500 and an interest rate of 1.5% per year compounded yearly would be $52.50 after 12 months.

Step-by-step explanation:

To calculate the interest earned on a savings account, you need to know the interest rate, the length of time the money is deposited, and the starting balance. Based on the information provided, it appears that the interest rate is 1.5% per year, the money is deposited for 12 months, and the starting balance is $3500.

To calculate the interest earned, you would first need to convert the interest rate to a decimal by dividing it by 100. In this case, the interest rate would be 0.015. You would then multiply the interest rate by the starting balance to get the amount of interest earned in a year. In this case, the interest earned would be $3500 * 0.015 = $52.50.

Since the interest is compounded yearly, the total balance after one year would be the starting balance plus the interest earned. In this case, the total balance would be $3500 + $52.50 = $3552.50. Therefore, the interest earned on a savings account with a balance of $3500 and an interest rate of 1.5% per year compounded yearly would be $52.50 after 12 months.

pls help
write the equation that gives the proportional relationship of the graph
a. y=7x
b.y=35x
c.y=5x
d.y=1/7x​

Answers

Answer:

y=7x

Step-by-step explanation:

if anyone can help me solve this i will give you 20 points!!

Answers

Answer:137

Step-by-step explanation:

The answer is 137 because you divide 548 by 4.

find the slope of the line thst passes through (10,2) and (1,3)

Answers

Answer: -7/1

Step-by-step explanation: When graphing both points and drawing a line through it, count how many times it goes up or down and then count how many times it goes left or right.

what is the probability that a randomly selected group of 5 females have a mean shoe size bigger than 10.5

Answers

The probability that a randomly selected group of 5 females has a mean shoe bigger than 10.5 is 2.1.

What is probability?

Probability is the likelihood that something will occur. When we don't know how an event will turn out, we might discuss the likelihood or likelihood of several outcomes. Statistics is the study of occurrences that follow a probability distribution.

Calculation:

Mean = 10.5 and Total no. of females = 5 = random variable

Now, the Probability that a randomly selected group of 5 females have a mean shoe size bigger than 10.5:
P(x > 10.5)

Z = ( x- μ )

=  (σ / [tex]\sqrt{n}[/tex])

=  10.5 / 5

=  2.1

The probability that a randomly selected group of 5 females has a mean shoe bigger than 10.5 is 2.1.

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Can you please give me the answer you don’t have to solve all but please!!!!!!

Answers

Answer: Reduction: 1/3

Step-by-step explanation:

Remember that if you are dilating it to be larger, it will be a whole number. If it is less than one, then it is dilating to be smaller.

Answer: Reduction 1/3.

Step-by-step explanation: When a shape is transformed into a smaller version of the original, it's a reduction. Reductions are less than 1 so the answer I provided above is what you're looking for.

Have a great day! :)

If three hens can lay 3 eggs in 3 days how many days can 7 hens lay 7 eggs? Pls help!!

Answers

7 days would be your answer

Explaination, if 3 hens can lay 3 egg is 3 days. Each hen lays 1 egg per day. If there is 7 hens, there will be 7eggs in 7days. Good luck :)

Answer:

3 days

Step-by-step explanation:

Match each theorem with its description.

Answers

(3) Isosceles triangle Theorem

(8) Same side Interior angle Theorem

(2) Triangle sum Theorem

(1) Vertical angle Theorem

(7) Alternate exterior angle Theorem

(5)Corresponding angle Postulate

(6)Alternate exterior angle Theorem

(4) Triangle midsegment Theorem

What is isosceles triangle?

An isosceles triangle in geometry is a triangle with two equal-length sides. It can be stated as having exactly two equal-length sides or at least two equal-length sides, with the latter definition containing the equilateral triangle as an exception.

Isosceles triangle Theorem: A triangle's opposite angles are also congruent if its two sides are.

Same side Interior angle Theorem:

The same side interior angles are additional when two parallel lines are cut by a transversal.

Triangle sum Theorem:

According to the triangle's "angle sum property," a triangle's interior angles add up to 180°.

Vertical angle Theorem:

When two straight lines collide, two sets of linear pairs with identical angles are created.

Alternate exterior angle Theorem:

The alternate interior angles or alternate exterior angles that emerge from cutting two parallel lines by a transversal are congruent.

Corresponding angle Postulate:

The related angles are equivalent if a transversal cuts two parallel lines.

Alternate exterior angle Theorem:

The alternate interior angles or alternate exterior angles that emerge from cutting two parallel lines by a transversal are congruent.

Triangle midsegment Theorem:

The section connecting a triangle's two sides at their midpoints is parallel to and only half as long as the third side.

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Jeremy spent a total of $79.16 on a shirt and one pair of jeans. He knows the jeans cost $49.95 but he does not know the cost of the shirt, s. He created the model shown to find the cost of the shirt.

Answers

The model to show the cost of the shirt is x+49.95=79.16. Therefore, the cost of shirt is $29.21.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, Jeremy spent a total of $79.16 on a shirt and one pair of jeans.

Let the cost of shirt be x.

The jeans cost is $49.95

Now, the cost of shirt + the cost of jeans = Total cost

⇒ x+49.95=79.16

⇒ x=79.16-49.95

⇒ x=$29.21

Therefore, the cost of shirt is $29.21.

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Jacob is practicing the 100 meter dash. the data shows his time in seconds. 14, 13, 13.5, 16, 14 15.5, 14.5 Which box plot shows the data?

Answers

Just for your information, 13 is lowest, 16 is highest, therefore starting and ending points of the graph. To best identify the plot, make iqr interquartile range consisting of minimum value, q1, q2, q3 and maximum value.

The box plot for given minimum, maximum, median, Q1 and Q3  is plotted below.

What is a box and whisker plot?

A box and whisker plot—also called a box plot—displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum. In a box plot, we draw a box from the first quartile to the third quartile. A vertical line goes through the box at the median.

The given data set is 14, 13, 13.5, 16, 14, 15.5, 14.5.

Order of data is 13, 13.5, 14, 14, 14.5, 15.5, 16.

Here, minimum is 13

Maximum is 16

Median is 14

Lower quartile range(Q1) is 13.5

Upper quartile range(Q3) is 15.5

Therefore, the box plot for given minimum, maximum, median, Q1 and Q3  is plotted below.

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Solve the inequality.

$-12

Answers

This answer is 33$. Yeahhhhhh

make g the subject of 3e+4g=7+9eg

Answers

Answer:

the answer is g = (7 - 3e) / (4 - 9e)

Step-by-step explanation:

The subject of an equation is the value or values being solved for. An equation typically consists of two parts: an expression on the left side of an equal sign and an expression on the right side of the equal sign.

The given equation subject of equation is 3e + 4g = 7 + 9eg

Subtraction of 9eg from both sides of the equation

3e + 4g - 9eg = 7 + 9eg - 9eg

3e + 4g - 9eg = 7

Subtract 3e on both sides of the equation

3e + 4g - 9eg - 3e = 7 - 3e

4g - 9eg = 7 - 3e

Factorize g on left side of the equation,

g (4 - 9e) = 7 - 3e

Then divide (4 - 9e) on both sides of the equation,

g = (7 - 3e) / (4 - 9e)

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a friend of yours who works in the it department of a bank tells you that tellers are allowed to log in to their terminals only from 9 a.m. to 5 p.m., monday through saturday. what is this restriction an example of?

Answers

Given restriction is an example of Time-of-day restrictions

The correct answer is an option (C)

In this question we have been given a friend tells you that tellers

are allowed to log in to their terminals only from 9 a.m. to 5 p.m., Monday through Saturday.

We need to identify the type of restriction in this example.

We know that time-of-day restrictions are the restrictions that often used to limit the hours during which a user is allowed to log into or access a system.

This type of restrictions helps prevent unauthorized access outside that user's normal working hours .

Therefore, given restriction present in this example: Time-of-day restrictions

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The complete question is:

A friend of yours who works in the IT department of a bank tells you that tellers are allowed to log in to their terminals only from 9 a.m. to 5 p.m., Monday

through Saturday. What is this restriction an example of?

A. User auditing

B. Least privilege

C. Time-of-day restrictions

D. Account verification

Find the slope and the y-intercept.
Then use them to graph the line. -2x + 5y = -15

Answers

Answer:

Step-by-step explanation:

this is easy

how many 10-digit integers are there which are palindromes? be sure to describe the process you are using.

Answers

There are 90000 palindromes 10-digit numbers.

In this question we need to find the number of 10-digit integers are there which are palindromes.

We know that a palindrome is a number that reads the same forward and backward.

The numbers that remain same even if they are reversed.

For exa., 131, 5225

We can observe that for even digit palindromes first half should be equal second half in reversed order.

we can generalize it as variables:

abcdeedcba, for a not equal to 0

So if we know how many 5-digit numbers are there, all we have to do is reverse it and we will have our 10-digit palindrome number.

There are 10 digits in total (0 - 9)

Since the first digit cannot be zero we excluded it from our choice hence we have 1–9 i.e 9 choices for first place(hundred's place)

The second, third, fourth and fifth digit has all 10 choices.

So, in total there are 9 x 10 x 10 x 10 x 10= 90000 five digit numbers.

Therefore, the total 10-digit numbers which are palindromes =  90000

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PLEASE HELLPPPP
The White Chuck Glacier is in the Cascade Range of western North America. In 1958 it covered 3.1 km?.
By 2002 it had lost about 70% of its area. What was the area of the glacier in 2002? Show your thinking.

Answers

Answer:

0.93 km

Step-by-step explanation:

The White Chuck Glacier lost 70% of its area between 1958 and 2002, which means that its area was reduced by 70/100 = <<70/100=0.7>>0.7.

Since the glacier-covered 3.1 km. in 1958, its area was reduced by 0.7 * 3.1 km? = <<0.7*3.1=2.17>>2.17 km.

Therefore, the area of the White Chuck Glacier in 2002 was 3.1 km. - 2.17 km? = <<3.1-2.17=0.93>>0.93 km.

If you vertically compress the absolute value parent function, F(x) = |x|, by multiplying by 3/4, what is the equation of the new function?

A. G(x) = | 3/4 x |
B. G(x) = |x| - 3/4
C. G(x) = 3/4 |x|
D. G(x) = | x + 3/4 |

Answers

Answer:G(x) = 3/4 |x|, nevertheless that is the same that G(x) = |3/4x|.

Step-by-step explanation:

Note that given that 3/4 is less than 1 the original function is compressed.

- Take care <3

Chang and Carlotta solve this problem in two different ways.
You have $50 in your bank account.
You make $8 per hour mowing lawns.
How many hours must you mow lawns to have a total of $130 in your account?
Use the drop-down menus to complete the sentences below.

Answers

What are variables ?

There are certain things in real life that never change, like your birthday. However, other factors, such as temperature, age, height, etc., change with place and time. These amounts might be referred to as variables because they are changeable.

A symbol (often a letter) used in mathematics to represent an unknowable numerical value in an equation or algebraic statement. A variable can be defined as a quantity that is changeable and not fixed. Variables are crucial since they make up a significant portion of algebra.

Typically, "x" and "y" are used to denote unknowable integers. However, it is not required; any letter will do.

If I have $50 in my bank account and i have to make it $130 by mowing a lawn that means i need to earn on $80 by mowing the lawn

($130 - $50 =$80)  

I can earn $8 per hour by mowing the lawn which means in only need to work for 10 hours to earn $80  ($8 per hour x 10 hours= $80 )

Chang and Carlotta method use different operations to simplify the expression in same order

Chang's method uses variable but Carlotta doesn't

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the correlation between cost and distance is 0.791. describe the relationship between cost of damage and distance from the nearest fire station.

Answers

According to the question,

Given data,

The correlation between cost and distance is 0.791.

The farther the house is from a first station, the higher cost of damage tends to be.

the correlation between cost and distance

The largest single cost of liver transplantation is the cost of organ acquisition, with the variable portion of that amount being associated travel costs. We assessed the proportion of donors using ground, air, and jet transport and compared the transport costs of these three types of transport and their impact on organ procurement costs for transplant centers.

How is correlation measured?

The sample correlation coefficient r quantifies the strength of the relationship. Correlations are also tested for statistical significance.

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Please help me with my geometry work

Answers

In geometry, the ray, line, or segment that splits a given angle into two equal pieces is known as the angle bisector. ,m∠2 = 40°.

What is a straight line?

An unending, one-dimensional figure with no breadth is a straight line. It consists of an infinite number of points connected on either side of a point. A straight line has a 180° measurement.

Definition of angle bisector.

In geometry, the ray, line, or segment that splits a given angle into two equal pieces is known as the angle bisector. For instance, a 60-degree angle will be split into two angles of 30 degrees each by an angle bisector. Alternatively said, it divides two smaller congruent angles. Given below is an image of an angle bisector of ∠AOB.

The graphic XYQ is the straight line, m∠3 = 40°, and m∠4 = 25°. YZ is the angle bisector of ∠s.

m∠2 =  40°  the reason is YZ is the angle bisector of ∠s

∠s = m∠2  + m∠3  

m∠2  = m∠3

therefore m∠2 =  40°

m∠1  + m∠2 +  m∠3  + m∠4 = 180° the reason is XYQ is the straight line.

substitution of all values

m∠1  + 40° +  25° + 40° = 180°

m∠1  + 105° = 180°

m∠1 =  75°  (straight line, substitution of all values )

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To find the mass in grams, ______ the number of kilograms by the unit rate, _____ grams per kilogram.


PLEASE HELP

Answers

Answer:

To find the mass in grams, multiply the number of kilograms by the unit rate, 1000 grams per kilogram.

Explanation:

For every kilogram, there are 1000 grams. So, if you have 12 kilograms, you have 12,000 grams.

A window company makes two square windowpanes. Windowpane A
has an area of 176 square inches. Windowpane B has an area of 275
square inches. How much longer is a side of Windowpane B than a
side of Windowpane A? Study the pictures.

Answers

Answer: 99.


If you take 275 and subtract it by 176, it should be 99, if I’m correct.

A map of an amusement park is shown on the coordinate plane with the approximate location of several rides.


Determine the distance between the Trolley Train and the Silly Slide.

25 units
7 units
5 units
3 units

Answers

The distance between the Trolley Train and the Silly Slide is 5 units. The  3rd option is the answer

How to determine the distance between the Trolley Train and the Silly Slide?

From the map, the coordinate of the Trolley Train is (-2, -6) and the coordinate of the Silly Slide is (2, -3)

The formula for finding the distance between the two points is given as:

d=√(x₂ – x₁)² + (y₂ – y₁))²).

where

x₁ = -2,

y₁ = -6 (Trolley Train)

x₂ = 2

y₂ = -3 (Silly Slide)

d = √((2 – (-2))² + (-3 – (-6))²)

d = √((4)² + (3)²)

d = √25

d = 5 units

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in 12 years a man will be twice as old as he was 12 years ago . find his present age

Answers

His present age is 36 years.

Let his present age = x

Given,

2(x − 12) = x +12

2x - 24 = x + 12

2x - x =  12 + 24

x = 36

Therefore, his present age is 36 years.

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Eva bought seven and one-half pounds of chocolate chips. She used three and three-fourths pounds in some cookies and two and five-sixths pounds in some muffins. How many pounds of chocolate chips were left?

A three-twelfths pounds
B eleven-twelfths pounds
C one and two-twelfths pounds
D one and seven-twelfths pounds

Answers

Answer:

B

Step-by-step explanation:

[tex]7\frac{1}{2} - 3\frac{3}{4} - 2\frac{5}{6} \\= \frac{15}{2} - \frac{15}{4} - \frac{17}{6} \\(common denominate is 12)\\=\frac{90}{12} -\frac{45}{12} -\frac{34}{12} \\\\=\frac{11}{12}[/tex]

Your answer is B eleven twelfths pounds

answer for ten points!

Answers

Answer:

try 1239128981441231241

Step-by-step explanation:

myra

3/4 of 8 = 6
Good luck and have a good day

This graph shows all the key characteristics of a particular polynomial function. Drag tiles to complete the function rule that could be represented by the graph

Answers

The function that can be represented by this graph is defined as follows:

f(x) = 2x³ + x - 3.

How to define the function?


The function is defined looking at the features of the graph.

The first feature which we look at is the y-intercept, as the graph of the function crosses the y-axis at y = -3, hence the function can be defined as follows:

f(x) = ax^n + x - 3.

The function has an inflection point, as it has a change in it's concavity, thus the function has a second derivative of the first degree, meaning that the function is of the third degree, that is:

n = 3.

The x-intercept is when the function crosses the x-axis, meaning that when x = 1, y = 0, then the leading coefficient a is obtained as follows:

0 = a + 1 - 3

a = 2.

Which means that the function rule can be given by:

f(x) = 2x³ + x - 3.

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The answers are

A. Statement: FDC≈FAB Reason: SAS

B. Statement FDC~FBA Reason: AA

C. Statement FDC≈FBA Reason: SAS

D. Statement FDC~FAB Reason: AA

Can I get an answer as well as how it makes sense?​

Answers

Answer:

Step-by-step explanatihelpson:

is c hope it

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