Find an approximate equation of the line that passes through the two given. Write the equation in slope-intercept form. Round the slope and the constant term to teo decimal places. (-4. 7,2. 7) and (1. 3,-7. 3)
Answers
The equation of the line in slope-intercept form passing through the points (-4.7 , 2.7) and (1.3 , -7.3) is y = -1.67x - 5.13.
The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.
The slope-intercept form of the equation of a line is given by the formula:
y = mx + b
where m is the slope of the line
b is the y- intercept
Given the two points, (-4.7 , 2.7) and (1.3 , -7.3), get the slope of the line using the formula:
m = (y2 - y1)/(x2 - x1)
m = (-7.3 - 2.7)/(1.3 - -4.7)
m = -10/6
m = -5/3
Using the slope-intercept form, plug in the value of the slope and one point to determine the y-intercept, b.
y = mx+ b
2.7 = -5/3(-4.7) + b
b = -77/15
Substitute the value of the slope and y-intercept in the slope-intercept form.
y = -5/3 x -77/15
y = -1.67x - 5.13
Hence, the equation of the line in slope-intercept form is y = -1.67x - 5.13.
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Related Questions
The formula for potential energy is p=mgh, where p is potential energy, m is mass , g is gravity and h is height . Which expression can be used to represent g
Answers
Answer:
g is the acceleration due to gravity.
if right please mark me brainliest
In a recent year, 17.3% of all registered doctors were female. If there were 41,400 female registered doctors that year, what was the total number of registered doctors?
Round your answer to the nearest whole number.
Answers
Answer: 239,306 total registered doctors
Step-by-step explanation:
1. Form the ratio of amount of female doctors(41,400) to total amount of doctors(x) and compare it to percent of female doctors in the field(17.3) to total percent of doctors(100).
[tex]\frac{41400}{x}=\frac{17.3}{100}[/tex]
2. Cross Multiply the amount of female doctors(41,400) to the total percent of doctors(100) so that it stays equal to the percent of female doctors(17.3) to the amount of doctors(x).
[tex]41400*100 = 17.3x[/tex]
3. Simplify
Start by multiplying the amount of female doctors(41,400) by the total percent(100) to get 4.240.000 to keep both sides equal[tex]414*10^{4} = 17.3x[/tex]Then apply the division property of equality by dividing both sides of the equality by the percent of female doctors to the amount of doctors(17.3).[tex]\frac{414*10^{4} }{17.3} = \frac{17.3x}{17.3}[/tex]
After dividing both sides by 17.3 you will find out that there are about 239,306 registered doctors.A commuter train travels 50 kilometers in 43 minutesWhat is speed in kilometers per hour?
Answers
Answer:
70.42 kilometers.
Step-by-step explanation:
43 minutes/60 minutes (1 hour is 60 minutes) = 0.71 hours.
Now we set up a problem here.
50 kilometers/0.71 hours = x kilometers/1 hour
We multiply out 1 hour and cancel out from both sides.
50/0.71 kilometers = 70.42 kilometers.
Therefore, the train was traveling at 70.42 kilometers per hour.
Find the midpoint of the given line segment with the given endpoints
(5,1) and (4, -4)
Answers
Answer:
Step-by-step explanation:
(5 + 4)/2 = 9/2
(1 - 4)/2= -3/2
Find the coordinates of the point 3/10 of the way from A to B.
Answers
The coordinates of the point 3/10 of the way between A and B are (-19/15, 1/5).
What is defined as the section formula?The Section formula is used in coordinate geometry to find the ratio of a line segment divided by a point, either internally or externally. It determines the centroid, incenter, and excenters of a triangle.Let P be the point that is 3/10 of a way from A to B. This means that it divides P in the ratio 3:10 = AP/PB = 3/10.
To find the coordinates, use the internal division formula, which is given as:
x = (mx₂ + nx₁)/(m + n)
y = (my₂ + ny₁)/(m + n)
Where,
(x₁, y₁) = A(-3, -5)
(x₂, y₂) = B(12, 4)
m = 3 and n = 10.
Substitute the values to find the x and y coordinates of point P.
y = (3×4 + 10(-5))/(3 +10)
On solving;
y = -19/15
Solve for x coordinates;
y = (3(12) + 10(-3)/(3 +10)
on solving;
y = 1/5
Therefore, the coordinates of the point 3/10 a way from A and B is (-19/15, 1/5).
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What is the answer for7 x 21.6
Answers
Answer:
the answer is 151.2
Step-by-step explanation:
Answer:
151.2
Step-by-step explanation:
20+1+.6
20 x 7= 140
1 x 7 = 7
.6 x 7 = (6 x 7 then move the decimal over) 4.2
140+7+4.2=
151.2
Go step by step to reduce the radical.
√216
Answers
Answer: 6√6
Step-by-step explanation:
√216=
√(36*6)=6√6
What is the range for the set of scores: 7, 8, 11, 15, 17, 20?
a. 20
b. 1
c. 13
d. 7
Answers
The range of the set of scores is 13.
Here,
The set of scores:
7, 8, 11, 15, 17, 20
We have to find the range of the set of scores.
What is Range of set?
The range is the difference between the highest and lowest values within a set of numbers. To calculate range, subtract the smallest number from the largest number in the set.
Now,
The highest number = 20
The lowest number = 7
Hence, Range of the data set = 20 - 7 = 13
So, The range of the set of scores is 13.
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Round 9.7 to the nearest whole number.
Answers
Answer:
10
Step-by-step explanation:
If the decimal is .5 or above, round up to the next whole number. If the decimal is below .5, round down to the last whole number. Because .7 is greater than .5, we round up to 10.
Answer:
10
Step-by-step explanation:
In rounding, we look at the digit one place to the right of what we are rounding to. If that digit that is one place to the right is 5 or greater, we increase our digit by one. If that digit that is one place to the right is 4 or less, we leave our digit as it is.
Two model cars race in a straight line. The distance in feet of car A from the starting line is modeled by the function f(t) = 0.25t^2 + 22t - 1, where t is the time in seconds since the start of the race. The distance in feet of car B from the starting line is modeled by the function g(t) = -0.1t^2 + 25t.
Write a model for the difference in feet between car A and car B.
What is the difference in feet between car A and car B after 10 seconds? How can you tell which car is in the lead?
Answers
a. A model for the difference in feet between car A and car B is d(t) = = 0.35t² - 3t - 1.
b. The difference in feet between car A and car B after 10 seconds is 4 feet
c. To tell which car is in the lead,
If d(t) > 0, car A is in the lead but if d(t) < 0 car B is in the lead.a. Write a model for the difference in feet between car A and car B.Since the distance in feet of car A from the starting line is modeled by the function f(t) = 0.25t² + 22t - 1, where t is the time in seconds since the start of the race.
Also, the distance in feet of car B from the starting line is modeled by the function g(t) = -0.1t² + 25t.
The difference in distance between car A and car B d(t) is the difference between their distance from the starting line.
So, d(t) = f(t) - g(t)
= 0.25t² + 22t - 1 - ( -0.1t² + 25t)
= 0.25t² + 22t - 1 + 0.1t² - 25t
= 0.35t² - 3t - 1
So, a model for the difference in feet between car A and car B is d(t) = = 0.35t² - 3t - 1.
b. What is the difference in feet between car A and car B after 10 seconds?Since the difference in distance in feet between car A and car B is d(t) = 0.35t² - 3t - 1.
To find the difference in distance after 10 seconds, we substitute t = 10 into d(t).
So, d(t) = 0.35t² - 3t - 1.
d(10) = 0.35(10)² - 3(10) - 1
= 0.35(100) - 30 - 1
= 35 - 31
= 4 feet
So, the difference in feet between car A and car B after 10 seconds is 4 feet
c. How can you tell which car is in the lead?Since the difference in distance in feet between car A and car B is d(t) = 0.35t² - 3t - 1
= f(t) - g(t)
Since
f(t) = distance of car A and g(t) = distance of car B.So, to tell which car is in the lead,
If d(t) > 0, car A is in the lead but if d(t) < 0 car B is in the lead.Learn more about difference in distance in feet here:
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which of the relations represent y as a function of x
Answers
For given relations, relation (1) and relation (3) represent y as a function of x.
And relation (2) does not represent y as a function of x.
In this question, we have been given some relations.
We need to determine which relations represent y as a function of x.
We know that a relation is function when there is unique output for each input.
Consider the first relation.
y = -3.4x
For each value of x there's unique and distinct output. Here x can take any real value.
so, the above relation is a function.
Consider the second relation.
We can observe that, for x = 1 there are two outputs i.e., y = 1 and y = -1.
Similarly for x = 4, there are two outputs y = 2 and y = -2.
this means, the second relation is not a function.
Now, consider the last relation.
From this graph we can see that from x = -∞ to x = ∞, there are unique outputs.
So, above graph represents a function.
Also, by vertical line test, the graph represents a function.
Therefore, for given relations, relation (1) and relation (3) represent y as a function of x.
And relation (2) does not represent y as a function of x.
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Can you draw the shape and tell me the correct coordinate points?
Answers
Answer:
P(-3,6), Q(-6,3), R(0,3)
please help its due tomorrow!!! Dont mind the coloring i was trying to do it but gave up. ☹️ Will give brainliest and 100 pts!
Answers
Answer:
the option Si mark as light green are correct
Find true square numbers that add to 125.There are two ways to do this.
Please tell me those two ways!
Answers
Answer:
One solution is 64, 36, and 25
Another method is 25+36+64
Step-by-step explanation:
I need help! Ignore the stuff on top and bottom
Answers
Answer:
Starting from the left, the points are plotted as:
-4.5, -√16,-4, √1, 80/25, 7/2.
9+10=?????????? PLease tell Me!
Answers
Answer:
19
Step-by-step explanation:
Answer:
19
Step-by-step explanation:
9+10=19.
Add 9 to 10.
It's 19.
Man, that's so hard!
Even I had to use a calculator.
someone pls explain what is adding and subtracting whole numbers
Answers
Numbers without fractions are referred to as "whole numbers," and they are made up of positive integers and zero. It is denoted by the letter "W," and its corresponding set of numbers are 0, 1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12,..
A mathematical procedure called addition symbolizes adding objects t to a larger collection. The plus sign ( + ) is used to denote it.
Some examples of the addition of whole numbers is:
1 + 8 = 9
10 + 19 = 29
A mathematical operation known as subtraction symbolizes the process of determining the difference between two numbers or units. The negative sign is used to denote it ( - ).
An example of subtraction of whole numbers is:
10 - 2 = 8
40 - 25 = 15
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You have compared the obtained value with the critical value. what do you do next?
Answers
The null hypothesis is a typical statistical theory which suggests that no statistical relationship and significance exists in a set of given single observed variable, between two sets of observed data and measured phenomena.
Critical value is a cut-off value that is used to mark the start of a region where the test statistic, obtained in hypothesis testing, is unlikely to fall in. In hypothesis testing, the critical value is compared with the obtained test statistic to determine whether the null hypothesis has to be rejected or not.
So, when we compared the obtained value with the critical value then after that Reject the null hypothesis if the obtained value is more extreme than the critical value.
and, If the value of the test statistic is less extreme than the critical value, then the null hypothesis cannot be rejected.
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in a group of 60 people, 27 like cold drinks and 42 like hot drinks and each person likes at least one of the two drinks. how many like both coffee and tea?
Answers
Answer:
9
Step-by-step explanation:
11 The function f(x) is graphed on the set of axes
below. On the same set of axes, graph f(x + 1) +2.
Answers
Answer:
Step-by-step explanation:
your graph will love to the left one (x+1) makes it move left one and it will move up 2 which is the +2
0.(3)= answer please
Answers
After multiplying 0, 3 times and following the laws of exponents, the value yielded is 0.
What is the law of exponents?
There are varied exponent laws in mathematics. Numerous fine problems that involve repeated addition operations can be answered using all of the exponentiation principles. The principles of exponents make addition and division processes simpler and make it easier to answer issues. The six significant rules of exponents will be covered in this composition along with multitudinous worked-out exemplifications.When multiplying a number by itself constantly, exponents are employed to illustrate this. For the case, 73 can be used to represent 7 x 7 x 7. The exponent, in this case, is" 3," denoting how numerous times the number 7 has been multiplied. Then, the number that's actually being multiplied is 7, which serves as the base.
Given that,
[tex]0^3[/tex] , Expanding it following laws of exponents,
We get,
0*0*0=3
Therefore, [tex]0^3=0[/tex].
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*PLS HELP*
Chris buys p pairs of pants and 4 more shirts than pairs of pants. Shirts cost $13 each and pairs of pants
cost $27 each. What does each term in the expression 27p + 13(p+4) represent? What does the entire
expression represent?
The term 27p represents the (select)
The term 13(p+4) represents the (select)
The expression 27p +13(p+4) represents the (select)
Answers
Answer:
The term 27p represents the total cost in dollars of pants
The term 13(p+4) represents the total cost in dollars of shirts
The expression 27p+13(p+4) represents the overall cost in dollars of the shirts and pants Christ buys
Step-by-step explanation:
Disclaimer: if the owner can include the options, I can give a better answer.
We know each pair of pants is $27. Since each pair of pants costs $27, we can say the total cost in dollars of pants is equal to 27*P. For each pair of pants Chris buys, he buys 4 shirts. P+4 is the total number of shirts Chris will buy. The price of these shirts in dollars is $13. So we can assume the total cost in dollars of shirts will be 13(P+4). The total expression is the total amount in dollars Chris spends.
Johnny wants to buy a box of
donuts. The donuts normally cost
$12 dollars but they are on sale for
10% off. What is the sale price for
the donuts? Please I need help
Answers
Answer:
$1.20
Step-by-step explanation:
if the donuts normally cost 12 dollars, but they are on on sale for 10% off, then all you have to do is divide 12 by 10.
12 ÷ 10 = 1.2
since we are working with money, we need to add a 0 at the end to make it 1.20, since you need 100 cents to make a dollar.
another way you could write the equation is,
10% × 12 = 1.2
1.2 = 1.20
hence, the sale price for the donuts is $1.20
Step-by-step explanation:
Hope it helps!
What is the value of (2.4)3?
Answers
Answer: 7.2
Step-by-step explanation: 2.4(3) is really just 2.4 * 3 so 2.4 times 3 is 7.2.
Answer:
13.824
Step-by-step explanation:
Raise 2.4 to the power of 3.
What are mathematical formulas placed in software that performs an analysis on a dataset?
Answers
Algorithms are the mathematical formulas placed in software that performs an analysis on a dataset.
What is an algorithm?An algorithm in math is a procedure, a description of a set of steps that can be used to solve a mathematical computation.
Now,
The mathematical formulae are placed in a software for analysis in order to obtain results.For this process, an algorithm is followed, with the help of which, the results are derived and obtained.Hence, Algorithms are the mathematical formulas placed in software that performs an analysis on a dataset.
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write the next three terms of the arithmetic seqence below 1, 9, 17, 25, 33
Answers
Answer:
41,49,57
Step-by-step explanation:
the difference between each no. is 8
so add 8
Suppose at bulk rate, instant potato flakes cost 12.04 cents, or $0.1204, per ounce.
a. if a box costs $77.05, how many pounds of potato flakes are in the box?
(hint: there are 16 ounces in a pound.)
b. what would a 2-pound box of potato flakes cost?
Answers
Cost of flakes per ounce is $0.1204 ,
a. If a box cost $77.05 then approximately 640 pounds of flakes are in box.
b. Cost of 2-pound flakes is $3.8525.
As given,
Cost of flakes = $0.1204/ounce
a.
Cost of a box =$77.05
1 pound =16 ounces
$0.1204 =1 ounce
⇒$77.05 =77.05 /0.1204
= 639.95
≈ 640 ounces
= 40 pounds
b. Cost of 2 pounds =(77.05 /40)× 2
= $3.8525
Therefore, there are
a. Approximately 640 pounds of flakes are in box.
b. Cost of 2-pound potato flakes is $3.8525.
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someone help me!!!
please...
Answers
Answer:students are the independent because he will get a number of cards depending on how many students there are so its
s independent and c dependent
Step-by-step explanation:
Answer:
s = independent
c = dependent
The number of cards depends on the number of students in his class.
Hope this helps :)
Find the value of the ratio (red to blue) of the perimeters of the similar figures. Write the ratio as a fraction in simplest form.
Answers
Answer:
9/7
Step-by-step explanation:
9 red for every 7 blue can't be reduced
If you mix red and white paint in different ratios, you will get different shades of pink paint. If the ratios are equivalent, the shades of pink will be the same.
Sydney and Maria each mix their own batch of pink paint.
Are their batches the same shade of pink?
Answers
Answer:
No because their ratios are different and not equivalent
