1. Refer to the equation 3x − 5y = 15. (a) Create a table of values for at least 4 points. Show your work on how you found the values for each coordinate pair, and validated the points were on the line. Work for Point 1 Work for Point 2 Work for Point 3 Work for Point 4
Answers
Answer:
We have the equation:
3x - 5y = 15
a) We want to create a table with at least 4 points.
To do this, first, let's write the equation as a function: We must isolate one of the variables. Let's isolate y.
5y = 3x - 15
y = (3/5)*x - 3.
Then we have a linear equation.
Now, we can input different values of x, and see what value takes y in each case, then in this way we can be sure that the points will be on the line.
x = 0.
y = (3/5)*0 - 3
y = -3
Then we have the point (0, -3).
x = 1.
y = (3/5)*1 - 3 = 3/5 - 15/5 = -12/5
y = -12/5
Then we have the point (1, -12/5)
x = 5
y = (3/5)*5 - 3 = 3 - 3 = 0
y = 0
then we have the point (5, 0)
x = 10
y = (3/5)*10 - 3 = 6 - 3 = 3
y = 3
Then we have the point (10, 3).
Now we can create the table
[tex]\left[\begin{array}{ccc}x&y\\0&-3\\1&-12/5\\5&0\\10&3\end{array}\right][/tex]
Below you can see a graph, where the blue dots are our 4 points, and the green line is the line that represents the equation.
Related Questions
Please answer this correctly without making mistakes
Answers
Answer:
60%
Step-by-step explanation:
The shape is divided to 10 pieces and 6 of the pieces are painted if we multiply
6 put of 10 is orange therefore 60% of the sahpe is orange
Answer:
60%
Step-by-step explanation:
the number shaded divided bt the number of all division multiplied by 100
6÷10×100
=60%
Victor runs 3 laps around the track every 5 minutes. How long would it take to run 6 laps?
Answers
If A= (-1,-3) and B= (11,-8) what is the length of AB?
Answers
Answer:
AB is 13
Step-by-step explanation
Select the correct answer. Which function has exactly three distinct real zeros? A. h(x) = (x − 9)2(x − 4)2 B. h(x) = x(x + 7)2 C. h(x) = (x − 3)(x + 1)(x + 3)(x + 8) D. h(x) = (x − 2)2(x + 4)(x − 1)
Answers
Answer:
if you have LOF it is explained very well in there. When I was doing that kind of problem that was so helpful. Hope you find the same.
Step-by-step explanation:
Answer:
attached.
Step-by-step explanation:
What’s the difference between m=change in y and change in x and m =y2-y1and x2-x1
Answers
it's the same thing
[tex]slope = \frac{Δy}{Δx} or \frac{change \: in \: y}{change \: in \: x} = \frac{y2 - y1}{x2 - x1} = \frac{rise}{run} [/tex]
Evaluate 8 ÷ -2 · 4²+9. Thanks! Will give brainiest if possible
Answers
The angle of a triangle are in ratio 4:5:6.what is the angle of the triangle?
Answers
Answer:
48, 60 and 72
Step-by-step explanation:
Given;
The ratios of the angle in the triangle = 4:5:6;
Unknown:
The angle of the triangle = ?
Solution:
We must understand that the sum of angles in a triangle is 180°
So as ratios; 4:5:6 denotes some certain multiples that sums up to 180°
Let the multiple number = x; so
4x : 5x : 6x
4x + 5x + 6x = 180
15x = 180
= 12
The angles in the triangles are:
4(12) : 5(12) : 6(12)
48 : 60 : 72
These angles are 48, 60 and 72
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Answers
Answer:
3(x-2)+6=6x-9
[tex]3x - 6 +6 =6 x - 9 \\ 3x - 6x = - 9 \\ - 3x = - 9 \\ x = - 9 \div - 3 = 3[/tex]
is this correct I made an educated guess because I don't really understand it
Answers
Answer:
Option (2)
Step-by-step explanation:
A function 'f' has been given as,
f(x) = 3x + 1
And the inverse of this function is,
[tex]f^{-1}(x)=\frac{x-1}{3}[/tex]
We have to find the value of f(2).
So we will use the expression: f(x) = 3x + 1
By substituting x = 2 in this function,
f(2) = 3×2 + 1
= 6 + 1
= 7
This result tells us the value of the function at x = 2.
Therefore, Option (2) will be the answer.
Choose the best explanation that describes in words what the numerical value of the slope tells you.
a. Every increase in coral growth of one centimeter will result in an average of 5.25 fewer degrees Celsius of sea surface temperature per year.
b. Every increase in coral growth of one centimeter will result in an average of 5.25 more degrees Celsius of sea surface temperature per year.
c. Every increase in sea surface temperature of one degree Celsius will result in an average of 0.1578 more centimeters of coral growth per year.
d. Every increase in sea surface temperature of one degree Celsius will result in an average of 0.1578 fewer centimeters of coral growth per year.
Answers
Data for the question :
Sea surface temperature 26.7 26.6 26.6 26.5 26.3 26.1
Growth 0.85 0.85 0.79 0.86 0.89 0.92
Answer:
d. Every increase in sea surface temperature of one degree Celsius will result in an average of 0.1578 fewer centimeters of coral growth per year.
Step-by-step explanation:
Given the data :
Surface Temperature (X) : 26.7 26.6 26.6 26.5 26.3 26.1
Growth (Y) : 0.85 0.85 0.79 0.86 0.89 0.92
Using a regression calculator, we can find the model equation and extract the slope :
The regression equation obtained is :
y=5.039-0.1578x
From y = mx + c
Where m = gradient or slope
c = intercept
x and y are predictor and predicted variables respectively.
Hence, the gradient or slope (m) of the model = - 0.157. We have a negative slope, hence, increase in x will result una decrease in y.
The slope thus means: for every 1 degree increase in sea surface temperature (x), there is an average decline of about 0.1578 cm in growth per year.
Solve the following equation: 7a-5=2a-15
Answers
Answer:
7a-5=2a -15
7a-2a=-15+5
5a=-10
5a/5=-10/5
a=-2
i need help on this question this is what i need help with
416+ 523⎯⎯⎯⎯⎯⎯⎯⎯⎯
Answers
Answer:
416+523=939
Step-by-step explanation:
can i pls get a brainlieast for this and a thank you pls and a 5 stars
Answer:
9 3/9Step-by-step explanation:
HELP WILL MARK BRAINLIEST
Answers
Answer:
(-3,-1)
Step-by-step explanation:
You can graph both of the points on desmos, and then look at the slope from p1 to the midpoint. so you can get the slope, and use it to get the p2. the slope is -4/6. So you get that answer.
5 1/3 minus -2 2/3 someone please answer
Answers
Answer:
8
Step-by-step explanation:
Answer:
2.7
Step-by-step explanation:
Plz answer I will mark u brainiest!!!!
Answers
Answer:
65
Step-by-step explanation:
if m 2 =6x+8 and m 6 = 8x-6, find the value of x so that l is parallel to m
Answers
Answer:
[tex]x = 7[/tex]
Step-by-step explanation:
Given
[tex]m_2 = 6x + 8[/tex]
[tex]m_6 = 8x - 6[/tex]
Required
Determine x when both lines are parallel
For parallel lines, slopes must be equal.
i.e.
[tex]m_1 = m_2[/tex]
In this case,
[tex]m_6 = m_2[/tex]
Substitute values for m6 and m2
[tex]8x - 6 = 6x + 8[/tex]
Collect Like Terms
[tex]8x - 6x = 8 + 6[/tex]
[tex]2x = 14[/tex]
Solve for x
[tex]x = 14/2[/tex]
[tex]x = 7[/tex]
Answer:7
Step-by-step explanation:
I have 7 cookies. If I eat 1/4 of them of the cookies. How many cookies do I have left?
Answers
Answer:
6 thirds
Step-by-step explanation:
you're welcome
Enter the equivalent distance in km in the box.
1 km = 1000 m
1 m = 100 cm
35,000 cm =
km
Answers
Answer:
0.350 km
Step-by-step explanation:
Hi there !
35000 cm = 35000/100 m = 350 m
350 m = 350/1000 km = 0.350 km
Good luck !
Between which pair of numbers is the of exact product
379 and 8
Answers
Answer:
3032
Step-by-step explanation:
379 x 8 = 3032
use math, also box method
6m + 4n + 3m - 6
What are the terms? Separate them with a comma.
Answers
(I also added a picture)
The endpoints of EF¯¯¯¯¯ are located at E (−3, 2) and F (3, 8). Point D divides EF¯¯¯¯¯ such that ED : DF is equal to 1 : 3. For each box, select the values in the dropdown that make the statement true. The x-coordinate of point D is and the y-coordinate of point D is
Answers
Answer:
[tex]D(x,y) = (-1.5,3.5)[/tex]
Step-by-step explanation:
Given
[tex]E = (-3,2)[/tex]
[tex]F = (3,8)[/tex]
[tex]ED: DF = 1 : 3[/tex]
Required
Determine the coordinates of D
This is calculated as thus:
[tex]D(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]
Where:
[tex](x_1,y_1) = (-3,2)[/tex]
[tex](x_2,y_2) = (3,8)[/tex]
[tex]m:n = 1:3[/tex]
[tex]D(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]
[tex]D(x,y) = (\frac{1 * 3 + 3 *-3}{1+3},\frac{1 * 8 + 3 * 2}{1+3})[/tex]
[tex]D(x,y) = (\frac{-6}{4},\frac{14}{4})[/tex]
[tex]D(x,y) = (-1.5,3.5)[/tex]
Find the slope of the line y=4x+2
Answers
Answer:
M=4
Step-by-step explanation:
I hope this helps!
The correct Standard Form of the equation y=−1/3x+23/9
Answers
Answer:
3x + 9y = 23
Step-by-step explanation:
HELP ME PLEASE ASAO DUE SOON
Answers
Answer:
150 ft/hr
Step-by-step explanation:
Average rate of change is slope over an interval, so change in y over change in x:
[tex]\frac{3500-3200}{3-1} =150[/tex] ft/hr
A Mountain road rises 30 feet for a 490-foot run. What is it’s slope
Answers
490/30 = 82
you simply just divide the two numbers to get slope
Answer:
Correct answer is 3/49
Step-by-step explanation:
2x−5y−z=17
x+y+3z=19
−4x+6y+z=−20
Answers
PLZ HURRY IT'S URGENT!!!
What is the slope of the line? y=x−5
options:
undefined
1
0
-5
Answers
Answer:
1
Step-by-step explanation:
Helpppp!!!! Plzzzzzzzzz
Answers
Answer:
false
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
the intersection of two planes is a line. Planes are like grids so if you have a 3d model, they'd create a line
HELP ME PLEASE I NEED A 80%
Answers
Answer:
m [slope] = 5/2
Step-by-step explanation:
Find two points on the line where they are both integers(Whole numbers, positive or negative). (30,0) and (50,50).
There is a rise of 5 units for every run of 2 units.
(30,0) → (50,50) = (30 + 20, 0 + 50) : (x,y)
m = ∆y/∆x [Change in y over the change in x]
m = 50/20
m = 5/2
a package of 4 pairs of isulated gloves costs $33.96. what is the unit price of gloves
Answers
Answer:
8.49 per pair/pack of gloves
Step-by-step explanation:
i got this by taking 33.96 divided by 4 so i could find out how much for one pair