In an xy-coordinate system, Line l has a slope of –3. If the points (2, 16) and (5, t) are on Line l, what is the value of t?
A.17
B.15
C.25
D.7
Answers
See attachment for math work and answer.
The value of t is 7 and the coordinate is (5, 7). Therefore, option D is the correct answer.
Given that, in an xy-coordinate system, line l has a slope of -3. If the points (2, 16) and (5, t) are on line l.
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The formula to find the slope of a line is slope = (y2-y1)/(x2-x1)
Now, substitute m=-3, (x1, y1)=(2, 16) and (x2, y2)=(5, t) in slope formula, we get
-3 =(t-16)/(5-2)
⇒ -3 =(t-16)/3
⇒ t-16=-9
⇒ t=7
The value of t is 7 and the coordinate is (5, 7). Therefore, option D is the correct answer.
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Related Questions
The sample space below shows the results the final eight matches played by the English soccer team
Manchester United during their championship 2012 - 2013 season. They won matches where they
scored more goals than their opponent, lost matches where they scored less, and tied matches where they
scored the same amount.
If we take matches 1, 3, 5, 6, and 8 as a subset of the sample space, which of the statements below
describe this subset?
Answers
b. the subset consists of all the matches where there were no ties
and
d. The subset consists of all the matches where manchester united won or lost
I would post the picture of me getting it right if I could, if you want to trust me go ahead. success awaits ig lol
The correct statements are:
The subset consists of all the matches where there was a tie.The subset consists of all the matches where Manchester United's opponent did not lose.What is Data?In mathematics, data is a collection of facts and figures that can take any shape, whether it be numerical or not. You can calculate numerical data, which is always gathered in number form and includes things like student test results, employee salaries, football team member heights, etc.
Given:
From the table we can see that
As, the subset consists of all the matches where there was tie in matches 3, 5 and 8.
and, The subset consists of all the matches where Manchester United's opponent did not lose.
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Jaxon is deciding between two landscaping companies for his place of business. Company A charges $45 per hour and a $150 equipment fee. Company B charges $35 per hour and a $200 equipment fee. Let AA represent the amount Company A would charge for tt hours of landscaping, and let BB represent the amount Company B would charge for tt hours of landscaping. Write an equation for each situation, in terms of t,t, and determine the interval of hours, t,t, for which Company A is cheaper than Company B.
Answers
Answer:
When the number of hours t is less than 5 hours, Company A is cheaper than Company B
Step-by-step explanation:
Let the number of hours be represented by t
For Company A
Company A charges $45 per hour and a $150 equipment fee.
150 + 45t
For Company B
Company B charges $35 per hour and a $200 equipment fee.
200 + 35t
Write an equation for each situation, in terms of t,t, and determine
The interval of hours,t, for which Company A is cheaper than Company B is given as:
Company A < Company B
Hence:
150 + 45t < 200 + 35t
Collecting like terms
45t - 35t < 200 - 150
10t < 50
t< 50/10
t < 5
When the number of hours t is less than 5 hours, Company A is cheaper than Company B
Answer:
This is the correct answer on Delta Math
Step-by-step explanation:
Liliana is renting a beach house for a family vacation. The house charges a $75 cleaning fee plus $95 per night. If Liliana wants to spend a maximum of $645 on the rental, which inequality represents “n,” the number of nights can she afford to rent the beach house?
A.n ≤ 6
B. n ≥ 6
C. n 5
Answers
Answer:
A.n ≤ 6
Step-by-step explanation:
A. n ≤ 6
May I have brainliest please? :)
PLEASE HELP, THANK YOU (-:
Answers
Answer:
1 mile per hour
Step-by-step explanation:
Can someone help me with this
Answers
Answer:
C
Step-by-step explanation:
I checked it and it’s right hope this helps!!
1) Arnold has $200 in his bank account. His bank
account earns interest at a rate of 2% each year.
After 15 years, how much money will Arnold have
in his bank account (assuming no withdrawals or
deposits)?
Answers
Answer:
P is the principal amount, $200.00.
r is the interest rate, 2% per year, or in decimal form, 2/100=0.02.
t is the time involved, 15....year(s) time periods.
So, t is 15....year time periods.
To find the simple interest, we multiply 200 × 0.02 × 15 to get that:
The interest is: $60.00
Given f(x) = 17(3+x) what is the value of f(-2)
Answers
Answer:
Step-by-step explanation:
f ( x ) = 17 ( 3 + x )
f ( -2 ) = 17 ( 3 + -2 )
f ( -2 ) = 51 + -34
f ( -2 ) = 17
= 17
Follow the directions to solve the system of equations by elimination. 8x + 7y = 39 4x – 14y = –68 Multiply the first equation to enable the elimination of the y-term. Add the equations to eliminate the y-terms. Solve the new equation for the x-value. Substitute the x-value back into either original equation to find the y-value. Check the solution. The solution to the system of equations is (, ).
Answers
Answer:
1/2,5
Step-by-step explanation:
Answer:
1/2 5
Step-by-step explanation:
just got it right on edge
Is 14x+16x-4=5(4x+9)x=49 a solutionn or problem?
Answers
Answer:
its a problem there is still work to be done with it
Step-by-step explanation:
What is f(5) for the function f(x)= 2x+4?
f(5)=?
Answers
Answer:
5=2x+4
5-4=2x
1=2x
x=1/2
Answer:
if f(x)=2x+4
Then f(5)=2•5+4=14
The answer is 14
there are between 24 and 40 students in a class. The ratio is 4:7, how many students are there
Answers
Answer:
28:35 = 4:7
Step-by-step explanation:
Hope that helped!
Answer:
33 students
Step-by-step explanation:
4 + 7 = 11
8 + 14 = 22
12 + 21 = 33
hope this helps!
Question 1
factor x^2 +8x +15
A. (x+5)(x+3)
B. (x+5)(x-3)
C. (X-5)(x-3)
Answers
explanation:
the GCF of 15 is 3 and 5
3 and 5 also add up to 8 making each of the number the zeros
(x+5)(x+3)
Find the slope of: A(-2,-4), B(2, 4) *
Answers
4-(-4)/2-(2)
8/4
M=2
Answer:
2/1
Step-by-step explanation:
Follow the formula: (y2 - y1) / (x2 - x1). So 4-(-4) and 2-(-2). A negative and a negative equal a positive so 8/4. Then simplify. Which gives you 2/1. Hope this helps.
A bakery delivers a total of 2176 cookies equally to 8 coffee shops daily. How many cookies does the bakery deliver to each coffee shop in one week
Answers
Answer:
1904 cookies
Step-by-step explanation:
2176/8=272
272 is how many cookies a shop gets a day
272x7=1904
Hope this helps
9) State the coordinates of the endpoints of a
line segment that intersects the y-axis.
Answers
Answer:
(5,4) and (3,4)
Step-by-step explanation:
A line segment has 2 end points which can be denoted as:
[tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
When this line segment intersects at y.
This means that the coordinate on the y axis is the same at both end points
i.e.
[tex]y_1 = y_2 = y[/tex]
[tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] becomes [tex](x_1,y)[/tex] and [tex](x_2,y)[/tex]
x1 and x2 can be any value but the y value must remain unchanged
Using the above analysis, a possible coordinate is:
[tex](5,4)[/tex] and [tex](3,4)[/tex]
Note that there are as many answers as possible as long as the coordinate pair satisfy is of the form [tex](x_1,y)[/tex] and [tex](x_2,y)[/tex]
Take for instance, another possible pair is:
[tex](1,-3)[/tex] and [tex](0,-3)[/tex]
What is the purpose of a regression line?
to connect all the points in a scatterplot
to show the general tendency of the points in a scatterplot
to provide a scale for the x-coordinates of the points in a scatterplot
to provide a scale for the y-coordinates of the points in a scatterplot
Answers
Answer:
B). to show the general tendency of the points in a scatterplot
Step-by-step explanation:
The purpose of a regression line is to show the general tendency of the points in a scatterplot option (B) is correct.
What is a regression line?A regression line is a graph that illustrates the pattern of a group of statistics. In other words, it shows the data's best pattern.
It is given that:
The regression line is a line of best fit.
From the definition of the regression line, line is a graph that illustrates the pattern of a group of statistics and to show the general tendency of the points in a scatterplot.
Thus, the purpose of a regression line is to show the general tendency of the points in a scatterplot option (B) is correct.
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A city Carnival has an entry fee of $15. Each Carnival ride cost $7.50. Write a Linear Equation that can be used to solve for total spend at the Carnival. In the form y = mx + b
Answers
The graph shows the proportions of red and blue food coloring that Taylor mixes to make the purple frosting. What is the slope of the line? Tell what it means in the problem situation. The graph is ( 50, 70 ) ( 25, 35 )
Answers
Answer:
The slope is 7/5
Step-by-step explanation:
Here, we want to find the slope of the line
We use the slope equation
m = (y2-y1)/(x2-x1)
m = (35-70)/(25-50) = -35/-25 = 7/5
what it means is that the rate of change of the number of red drops to number of blue drops to form the purple color is in the ratio of 7 to 5
Or simply put
To form a purple color, add 7 part red to 5 parts blue drops
Simplify the expression.
- 7 + 3 - 14 + 2
Answers
Answer:
-4 - 16
Step-by-step explanation:
Answer:
-16
Step-by-step explanation:
you just use a calculator lol :)
Select all diagrams that show 4 x 1/3
Answers
Answer:
b
d
Step-by-step explanation:
i need help with this please mathematics
Answers
{(2,0), (4, -3), (6, 9), (-2,7), (4,9)}
What is the range?
um...? idk
Answers
Answer:
(8,9)
Step-by-step explanation:
The biggest number minus the smallest number.
The diagram below shows a map of the routes taken by Georgia Air-Taxi airline. On this diagram lengths and directions are irrelevant, all that matters is the connections between airports. Choose the adjacency matrix, name it A, that matches the scenario.
Answers
Answer: B
Step-by-step explanation: Adjacency Matrix is a square matrix representing a simple graph with 0 or 1 according to the condition given.
In this diagram, 0 corresponds to no connection between airports and 1 corresponds to connections between airports.
In other words, analysing the image, we see that:
1) Albany just have connection with Atlanta, so in the position of line Albany with column At, it must be a 1. The other columns, there are 0.
The Line for Albany in the matrix will be: [0 1 0 0 0 0]
2) Atlanta has connections with Albany, Dalton, Macon and Augusta. So corresponding position (line and column) must be 1. The only two airports Atlanta doesn't have connection with its own and Waycross, so at the corresponding column and line, it is written 0.
The line for Atlanta in the matrix is [1 0 1 1 1 0]
3) Augusta: connections with Atlanta, Macon, Waycross. At those positions, it will be written 1. At positions related to itself, Albany and Dalton is 0.
The line in the matrix will be [0 1 0 0 1 1]
4) Dalton: connection with Atlanta only. That position will be 1 while the others will be 0.
The line is [0 1 0 0 0 0]
5) Macon: connections with Atlanta, Augusta and Waycon: those positions will have 1 and the other 0.
The line is [0 1 1 0 0 1]
6) Waycross: connections with Macon and Augusta. Those positions will be 1 and the others 0.
The line is [0 0 1 0 1 0]
In conclusion, the adjacency matrix matching the scenario is
[tex]A=\left[\begin{array}{cccccc}0&1&0&0&0&0\\1&0&1&1&1&0\\0&1&0&0&1&1\\0&1&0&0&0&0\\0&1&1&0&0&1\\0&0&1&0&1&0\end{array}\right][/tex]
what is the cost per ounce for 10 ounce package of cashews
Answers
Answer:
you have to give more explanation as right now the equation is unsolvable
Step-by-step explanation:
Use the graph to determine the input values that
correspond with f(x) = 1.
Ox=4
O x = 1 and x = 4
O x= -7 and x = 4
O x = -7 and x = 2
Answers
Answer: x = -7 and x = 2
(x,y)
look at the 2 that y=1
Using the graph the input values that correspond with f(x) = 1 is x = -7 and x = 2.
What is graph?A graph is a visual representation of data or information, often used to show the relationship between variables.
The given graph is of a function f(x) which is shown on the y-axis. The horizontal line at y = 1 is also shown on the graph.
To find the input values that correspond with f(x) = 1, we need to look for the points where the function f(x) intersects with the horizontal line y = 1.
From the graph, we can see that there are two such points:
One point is where the function intersects the line at x = -7. At this point, f(x) = 1, since the function value is equal to the y-coordinate of the intersection point.
The other point is where the function intersects the line at x = 2. At this point, f(x) = 1 as well.
Therefore, the input values that correspond with f(x) = 1 are x = -7 and x = 2. So the answer is "x = -7 and x = 2".
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What is the equation of the line shown in the graph?
Answers
Answer:
y=4x-3
Step-by-step explanation:
We're given that the equation is linear (a line), so it must be in the form y=mx+b. We're also given that it contains the points (0,-3) and (1,1).
Plugging the values of the x and y coordinates in that first point, we get the equation -3=m*0+b, simplifying to -3=b. Therefore, the b-value is -3.
Next, we can plug in the values from the second point to get the equation 1=m*1-3, which simplifies to 1=m-3. Adding 3 to both sides, we get m=4. Therefore, the equation of the line is y=4x-3.
Note that -3 is the value where the line intercepts the y-axis, which means -3 is known as the y-intercept. The value of b is always the y-intercept.
Kennedy had the expression 3(2x-3x+8). She simplified and rewrote the
expression 3(8+x). If any, what was her error?
Answers
Answer:
It is -3x+24
Step-by-step explanation:
2x-3x is -x or -1x
It can also be simplified further using multiplication.
3(2x-3x+8)
3(-x+8)
-3x+24
can someone help me with this?
Answers
S: -3,1
T: 1,-2
U: stays the same
((:
15 is 60% of what number?
Answers
Answer:
25
Step-by-step explanation:
Answer: 25
Step-by-step explanation:
60 percent (calculated percentage %) of what number equals 15? Answer: 25.
Gwen scans a photo that is 4 in. wide by 6 in. tall into her computer. If she scales the
height down to 3 in., how wide should the similar photo be?
Answers
Answer: 2 inches in width
Step-by-step explanation:
4 - 6
divide both by 2
2 - 3
The width of a similar photo comes to be 2 inches.
Width of original photo = 4 inches
Height of the original photo = 6 inches
Height of the scaled photo = 3 inches
What is the scale factor?A scale factor is a number that multiplies (“scales”) a quantity.
Scale factor = height of scaled photo/ height of the original photo
Scale factor= 3/6 = 1/2
So, the width of the scaled photo = scale factor * width of the original photo
The width of the scaled photo = (1/2)*4
The width of the scaled photo =2 inches.
Therefore, the width of a similar photo comes to be 2 inches.
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