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
20x+x-2=4 rational equation
Answers
Answer:
x = 2/7
Step-by-step explanation:
Step 1: Write equation
20x + x - 2 = 4
Step 2: Solve for x
Combine like terms: 21x - 2 = 4Add 2 to both sides: 21x = 6Divide both sides by 21: x = 6/21Simplify: x = 2/7Step 3: Check
Plug in x to verify it's a solution.
20(2/7) + 2/7 - 2 = 4
40/7 + 2/7 - 2 = 4
42/7 - 2 = 4
6 - 2 = 4
4 = 4
Answer:
x = 2/7
Step-by-step explanation:
Collect like terms:
20x + x = 21x ----> 21x - 2= 4
Move the constant to the right hand side and change the sign of the constant:
21x = 4 + 2
Calculate:
21x = 4 + 2 ---> 21x = 6
Divide both sides by 21:
21/21 and 6/21 = 2/7
Solution:
x = 2/7 or x= 0.285714
Regina used nuts and fruits to make a snack mix. The graph below shows the quantities used for each serving
What do the points on the graph mean in this context? Select all that apply.
For every 3 cups of fruit, there is 1 cup of nuts.
For every 1 cup of fruit, there are 3 cups of nuts.
For every 2 cups of fruit, there are 6 cups of nuts.
For every 6 cups of fruit, there are 2 cups of nuts.
For every 12 cups of fruit, there are 4 cups of nuts.
Answers
Answer: 1st, 4th & 5th .
Answer:
1st, 4th, and 5th
Step-by-step explanation:
**PLEASE HELP THIS IS DUE TODAY** when the sun's declination is at the highest point, what direction does the sun rise and set?
Answers
At 7:00 one Summer morning Harry and Hermione hopped into their speedy more motorboat and left Hogwarts dock. They arrived at Dumbledore Wharf 35 minutes later. During the busy summer months a car ferry departs from Dumbledore wharf every five minutes. Tourists crowd onto the ferry for the 55 minute ride to Hogswarts dock. If Harry and Hermione followed the route that the car ferries take, how many car ferries did they see on their trip?
Answers
9514 1404 393
Answer:
19
Step-by-step explanation:
If we assume that the car ferries start at or before 6:05, and each 5 minutes thereafter, and if we count the ferries at the dock on either end, the total number seen is the number of ferries encountered in ...
55 +35 = 90 . . . minutes
That is, it is the number already in transit when they leave, plus the number that start while they are traveling.
That's 90/5 +1* = 19 ferries.
_____
The attached diagram can give an idea. Each up-sloping line represents a ferry in-transit. The left side is Dumbledore Wharf; the right side is Hogwarts dock. Each horizontal unit represents the distance traveled by a ferry in 5 minutes. Each vertical unit represents a 5-minute interval.
The down-sloping line represents the motorboat travel. The dots at either end of the latter line represent car ferries that are at the dock, just arriving or just-departing. Altogether, there are 17 places where the lines cross, in addition to the boats at the docks.
__
* the +1 is because the number of points defining intervals is 1 more than the number of intervals.
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.
Help!!! ASAP!!!
The sum of the areas of a polyhedron’s face is
A: Its perimeter divide by two.
B: its surface area.
C: its volume
D: non of these
Answers
Answer: The sum of the area of it's faces
Step-by-step explanation: its the surafce area.
Please help ASAP! All questions.
Answers
Answer:
I think i don't really know its been awhile for me.
Step-by-step explanation:
But i think you do 2 x 10 and what ever you get from that you multiply by 5 and what get from that you divide by 24.
I may not be right.
So please don't hate i tried.
HELPPP ASAPPP
write an equation for each line
line L(the red line)___
line p(the blue line)___
line m(the black line)___
line n(the green line)___
Answers
Answer: Line L : Y=4
Line P : X=-4
Line M : Y= -2x+4
Line N : Y= 1x-1
Step-by-step explanation:
Who makes it, has no need of it.
Who buys it, has no use for it.
Who uses it can neither see nor feel it.
What is it?
Answers
It's a coffin because the person who makes it is alive so they don't need to use it, the person who buys it is also alive and buying it for someone else.
The person who is using it has passed away so they can't see or feel anything.
:( This is one morbid riddle.
goyeggoyeceo y sit stuu try steet8eitccetiectoce58
Step-by-step explanation:
yeti et87stps tu et8 e85et 8
u0r as8tcc85e7ce5ctce5e5c8cr6
I ts its 7w496 w4y rs9rr s77
Please help! Thank you
Answers
Answer:
-294
Step-by-step explanation:
By the end of Tina’s bike ride, she traveled a distance of 40 kilometers. How many miles did Tina ride? (1 mile ≈ 1.6 kilometers)
help plz brainless you help me
Answers
Answer:
24.85 or rounded to 24.9
Step-by-step explanation:
Conversion
K H D____D C M
The number of miles did Tina ride when (1 mile ≈ 1.6 kilometers) so it should be considered as the 25 miles.
Calculation of the number of miles:Since
By the end of Tina’s bike ride, she traveled a distance of 40 kilometers.
And we know that
1 mile ≈ 1.6 kilometers
So,
[tex]= 40 \div 1.6[/tex]
= 25 miles
hence, The number of miles did Tina ride when (1 mile ≈ 1.6 kilometers) so it should be considered as the 25 miles.
Learn more about miles here: https://brainly.com/question/13208356
What is the answer to thus ...?
Answers
SOMEONE HELP WITH MY LAST TWO PROBLEMS
Answers
Answer:
What are your last 2 problems m8
Step-by-step explanation:
Jill runs 3/4 of a mile, and
Amy runs 2/3 of a mile.
How far did Jill and Amy
run combined?
Answers
Answer:
1 1/5 mile
Step-by-step explanation:
3/4 + 2/3 = 9/12 + 8/12 = 17/12 = 1 1/5
Write the product using exponents.
(-4).(-4).(-4).y.y
Answers
Answer:
(-4)^3 * y^2
Step-by-step explanation:
hope it helps.
Find the measure of an angle such that the sum of its supplement and four times its
complement is 13° less than twice the angle.
Show work
Answers
Answer:
Angle=79°
Step-by-step explanation:
Hope it helps!
Select all the expressions that are rational numbers.
a. 3.14159…
b. –9.1234567123…
c. –9.293847210103938…
d. 227
e. –26
Answers
Answer:
d,e
Step-by-step explanation:
rational numbers are positive and negative whole numbers.
Answer:
d,e
Step-by-step explanation:
you just purchased new tennis shoes for basketball for $99 the cost for washing will be $2.00. you will wear them 110 times between basketball practice and games. what is the cost per wearing?
Answers
Answer:
Step-by-step explanation:
espera y termino y te ayudo vale que me falta poco vale
Please Assist!
What is the answer to this question???
Answers
Answer:
[tex](3.5,0.5)[/tex]
Step-by-step explanation:
Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )[/tex]
Simply plug in your coordinates into the midpoint formula to find midpoint:
P(5, -3)
Q(2, 4)
[tex](\frac{5+2}{2},\frac{-3+4}{2} )[/tex]
[tex](\frac{7}{2},\frac{1}{2} )[/tex]
[tex](3.5,0.5)[/tex]
What does it mean to divide a number by
a fraction (e.g., ¾)?
Answers
Answer: You can divide a number by a fraction by flipping over the fraction and multiplying them together.
Step-by-step explanation:
For example:
Lets say we wanted to divide 8 by 3/4
8÷[tex]\frac{3}{4}[/tex]
Change the division symbol into multiplication, and flip over the fraction (a great way to remember doing this is to remember the phrase Copy Dot Flip - Copy the first digit as it is, put a dot for multiplication, and then flip the fraction over)
8 ·[tex]\frac{4}{3}[/tex]
Now, just multiply and reduce/simplify the fraction if needed
Final answer is [tex]\frac{32}{3}[/tex], no need to simplify or reduce
Hope that helps!!
Question 4
5 pts
4. Cassie has 45 marbles. Abdul has m If Cassie has 9 times as many
marbles as Abdul. Choose the equation that correctly represents the
number of marbles Abdul has.
O 9 x m = 45
O 45 - 9 = m
O C. 9+ m = 45
O D. 9 x 45 = m
Answers
Answer:
8 x m = 45
Step-by-step explanation:
cassie has 9 times which means multiplcation so its the first one
4 Rosie has 150 caramel
apples to sell. Each caramel apple is covered with one topping.
of the caramel apples are covered with peanuts.
are covered with chocolate chips.
• The rest are covered with sprinkles.
How many caramel apples are covered with sprinkles?
F
50
G 80
H 70
J 30
7.3B
Answers
Answer:
I'd say 50
Step-by-step explanation:
I just divided 150 by 3 since I only saw 3 toppings.
Ritika bought 5 meters of cloth from the market. She cut off 2 3/4 meters and gave it to Aditi. What length of cloth is left with her?
Answers
Answer:
I think its 3/2
hope it will help you
Sebastian drove for 2.2 hours at an average rate of 43.5 miles per hour. He calculates that he drove 95.7 miles. He knows the answer should be near 80, because 40 times 2 is 80. Which best explains Sebastian’s actual solution?
Answers
Answer: A. The actual product is reasonable because it is near 80 but greater than 80. Both factors were rounded down, making the estimate lower than the actual product.
Step-by-step explanation:
Answer: A. The actual product is reasonable because it is near 80 but greater than 80. Both factors were rounded down, making the estimate lower than the actual product.
Step-by-step explanation:
find 759 divided by 3
Answers
Answer:
253 .....is that it??
Step-by-step explanation:
Answer:
253!
Step-by-step explanation:
what does they y represent in the equation y=mx+b
Answers
Answer:
The y-intercept of this line is the value of y at the point where the line crosses the y axis.
Step-by-step explanation:
The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept.
3. Use the equation y = 3.2x + 5
to complete in the table.
Type the answers in the boxes below.
1
2
4
3. Is y proportional to x and y?
Select the correct choice from the drop down.
Explain why or why not.
Type your response in the space below.
Answers
Answer/Step-by-step explanation:
Plug in the value of x in each row into the equation, y = 3.2x + 5, to find their corresponding y values respectively.
When x = 1:
y = 3.2(1) + 5
y = 3.2 + 5
y = 8.2
When x = 2:
y = 3.2(2) + 5
y = 6.4 + 5
y = 11.4
When x = 4:
y = 3.2(4) + 5
y = 12.8 + 5
y = 17.5
You have the following table:
x | y
1 | 8.2
2 | 11.4
4 | 17.5
To find out if y is proportional to x, find the ratio of y to x of each pair in the table.
x | y | ratio of y to x (y/x)
1 | 8.2 | 8.2/1 = 8.2
2 | 11.4 | 11.4/2 = 5.7
4 | 17.5 | 17.5/4 = 4.375
As you can see, here is no equal ratio. Each pair has a different ratio. Therefore, the a proportional relationship does not exist between x and y.
f(x) = -x^2+10x-6
Find f(-5)
Answers
9514 1404 393
Answer:
f(-5) = -81
Step-by-step explanation:
Put -5 where x is and do the arithmetic.
f(-5) = -(-5)^2 +10(-5) -6
f(-5) = -25 -50 -6
f(-5) = -81
Answer:
-81
Step-by-step explanation:
Shen is on the swim team. Each week he swims a total of 5000 meters. How many kilometers does he swim each week?
Be sure to include the correct unit in your answer.
Answers
Answer:
5 km
Step-by-step explanation:
to convert m to km you have to divide by 1000.
5000/1000=5
hope this helps!
Review the graph.
On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. Point z 1 is (4, negative 3) and point z 2 is (negative 3, 2).
Suppose z3 = z1 – z2.Which quadrant contains z3?
quadrant I
quadrant II
quadrant III
quadrant IV
Answers
The position of z3 is (d) quadrant IV
The given parameters are:
[tex]\mathbf{z_1 = (4,-3)}[/tex]
[tex]\mathbf{z_2 = (-3,2)}[/tex]
The expression for z3 is given as:
[tex]\mathbf{z_3 = z_1 -z_2}[/tex]
So, we have:
[tex]\mathbf{z_3 = (4,-3) - (-3,2)}[/tex]
This gives
[tex]\mathbf{z_3 = (4 + 3,-3 - 2)}[/tex]
[tex]\mathbf{z_3 = (7,-5)}[/tex]
When the x-coordinate is positive, and the y-coordinate is negative, the point is in the fourth quadrant.
Hence, the position of z3 is (d) quadrant IV
Read more about quadrants at:
https://brainly.com/question/20226319