3a: complete the table with values for x and y that makes this equation true 3x+y=15
3b: create a graph, plot these points, and find the slope of the line that goes through them.
Answers
Answer:
a. see the attachment for the table (also reproduced below)
b. slope = -3; see the attachment for a graph
Step-by-step explanation:
A table of values for the function can be filled a couple of ways. One way is to draw the graph of the equation, and read the point values from it. Another way is to solve for each of the variables, and use those equations to find the missing table values.
__
a.Solving the equation for y, we get ...
3x +y = 15
y = -3x +15 . . . . . . subtract 3x; this is "point-slope form"
For the purpose of evaluating for different values of x, we can rearrange this a bit to ...
y = 3(5 -x) . . . . factor out 3
The given table has x-values of 0, 2, 3, 6. The corresponding y-values are ...
y = 3(5 -{0, 2, 3, 6}) = 3{5, 3, 2, -1} = {15, 9, 6, -3} . . . . for x={0, 2, 3, 6}
Solving the equation for x, we get ...
y/3 = 5 -x . . . . . divide the above equation by 3
x = 5 -(y/3) . . . . . add x-(y/3)
For y-values {0, 3, 8}, the corresponding x-values are ...
x = 5 -{0, 3, 8}/3 = 5 -{0, 1, 8/3} = {5, 4, 7/3} . . . . for y={0, 3, 8}
Then our table of values is ...
[tex]\begin{array}{|c|c|c|c|c|c|c|c|}\cline{1-8}x&2&4&6&0&3&5&7/3\\y&9&3&-3&15&6&0&8\\\cline{1-8}\end{array}[/tex]
__
b.The points in the above table can be plotted, and the line drawn through them. Sometimes using the points that are farthest apart makes this easier: (0, 15) and (6, -3).
slope
When we solved for y, we had the equation in slope-intercept form. The slope is the x-coefficient in that equation:
y = -3x +15 ⇒ slope = -3
Related Questions
Sally eats 2 ounces of cereal for breakfast each day. How many ounces of cereal does she eat in one week? How many ounces of cereal does she eat in 30 days?
Answers
Answer:
She eats 14 ounces in one week and 60 ounces in 30 days.
Step-by-step explanation:
1 week = 7 days
2 × 7 = 14 ounces
2 × 30 = 60 ounces
Answer:
14 ounces a week
60 ounces in 30 days
Step-by-step explanation: 2x7=14 ounces a week
2x30=60 ounces in 30 days
Esther is constructing a table of values that satisfies the definition of a function f(x).
x -10 17 8 -4 0 23
f(x) -12 -7 -7 0 3 8 10
Which number can be placed in the empty cell so that the table of values defines a function?
A.-10
B.-12
C.8
D.17
Answers
Answer: B) -12
Have a nice day/night :)
Explanation: -12
Renee hiked for 7 3/4 miles. After resting, Renee hiked back along the same route for 6 1/4 miles. How many more miles does Renee need to hike to return to the place where she started? Represent your answer as a simplified mixed number, if necessary.
Answers
Answer:
Renee will need to hike 1 1/2 more miles.
Step-by-step explanation:
If she hiked to her spot of 7 3/4 miles, she would need to hike another
7 3/4 more miles back. So, if she has hiked back 6 1/4 miles so far, you would subtract 7 3/4 - 6 1/4 to get 1 1/2 more miles!
Hope this answer and explanation helps you!
3 x 7/12 do not simplify pls
Answers
Answer:
21/12 this is your answer.
Step-by-step explanation:
you add a 1 under the three to make it a fraction, then you multiply straight across 3 times 7 is 21 and 1 time 12 is 12. so you answer is 21/12.
the simplifyed answer is 7/4
What is the area of the parallelogram?
Answers
Answer:
l×b×h
Step-by-step explanation:
Because of the sides of the parallelogram are different, so you must calculate the length, breath and the height
Amir has RM565. He spent all his money buying b pieces of clothing which cost Rm70 per piece and k pairs of shoes which cost RM95 per pair. Write a formula relating b and k.
Answers
Answer:
70b+95k=565. I think it's like this
How is finding the area of composite two-dimensional figures similar to finding the surface area of three-dimensional figures?
Answers
Hope this helps, If not I’m sorry <3
Answer:
If you find the area of a 2D shape (ex-square) you would multiply the area by the amount of faces with the shape (that are the same shape)
PLEASE HELP ME WITH THIS
Answers
Answer:
yes...... gwgsghwhhshhzhhhsjisidh
The Smith family went to eat at Buffalo Wild Wings. The bill was $43.86. They gave the server a 20% tip. How much did they pay altogether?
Answers
$52.63
Step-by-step explanation:To find 20% of $43.86 we multiply $43.86 by 0.2
$43.86 • 0.2 = $8.772
Now add $43.86 and $8.772 to find out how much the family paid altogether.
$43.86 + $8.772 = $52.632
In money the smallest place value is cents so we have to round to the hundredths place.
Doing this we get the grand answer of:
$52.63
To find the altogether cost of the meal including tip you need to multiply the bill ($43.86) by 1.20
43.86(1.2) = 52.632
Same would go for if you were leaving a 10% tip but you would multiply by 1.10
Mrs. Hyde is the art teacher at Washington Elementary School. She is hanging her students' artwork on one of the walls in the school hallway. Use the clues to determine in which order the artwork is being hung, from left to right. The third graders are to the left of the fourth graders. The second graders are between the fifth graders and the third graders.
Answers
Type a digit that makes this statement true.
48,49 ,867 is divisible by 9.
Submit
Answers
Answer: 8
Step-by-step explanation:
48,498,867 divided by 9 = 5,388,763
Answer:
8
Step-by-step explanation:
48,498,867 divided by 9= 5, 588,763
Medal award ceremonies are held after each event. The following three flags are used to represent the gold, silver, and bronze medal winners. Gold Silver Bronze 1. Using the flags, create a tree diagram to show the possible arrangements of the three medal flags. PLEEZE HELP MEEEEEEE :(
Answers
Answer:
Sorry you're having trouble with this. Attached is a diagram for your problem.
Step-by-step explanation:
Hope it helps!
The composite figure is made up of three simpler shapes. What is the area of the figure?
A. 80
B. 49
C. 68
D. 74
Answers
Answer: I’m pretty sure it’s 80
Step-by-step explanation:
Because the very top triangle is 4x3 which is 12 then the rectangle under it is 6x3 which is 18 then the triangle under that is 5x3 which is 15 and the triangle on the left is also 15 and the square in the middle is 4x5 which is 20 and add it all up 12+18+15+15+20=80 sry if that’s confusing.
Answer:
74 is the answer
Step-by-step explanation: You should find the area of each shape and add all the areas together to get the full area of the shape.
(base x height)+(length x breath)+(1/2 x base x height)
(10x5)+(6x3)+(1/2x3x4)
50+18+6
74 ← this is the full area of the shape
and, remember when finding the area of a triangle you should always multiply 1/2 too for example- ( 1/2 x base x height )
Ahat is the area of this quadrilateral?
A,B,C,D
Answers
Answer:
A. 12 square feet
Step-by-step explanation:
So it's easier to find the area when you split the shape into 2 parts, and they already did that for you. So basically you find the area of both triangles and add them together. The formula for a triangle is base x height divided by 2. You don't have to do that because there are 2 triangles with the same base and height so you don't have to divide it by 2. 3 x 4 = 12, so A. 12 square feet is your answer.
Nike Super Sale $$$ (Additional Instructions in Photo) !!25 POINTS!!
Taxes/Markup Prices/Difference Questions !!SHOW WORK!!
Please Help I Need this done by my last day of school TOMORROW! Check out my profile for more questions please!!
Answers
The markup percentage regarding the sale of the good will be 136%.
How to calculate the percentage?From the information given, the initial cost is $55.00 and the new price is $130.19. The increase in percentage will be:
= (130.19 - 55)/55 × 100
= 75.19/55 × 100
= 136%
Therefore, the markup percentage regarding the sale of the good will be 136%.
Learn more about percentage on:
brainly.com/question/24304697
#SPJ1
Mr. Toney gets his car washed every 15 days. Mr. Brown gets his car washed every 20 days. Today, they are both getting their cars washed. IN how many days will they both be getting their car washed?
HELP NEEDED ASAP
Answers
You can solve this equation by finding the lcm (least common multiple):
15 30 45 60 75 90 105
20 40 60 80 100
The lowest common multiple is 60 as it is the first multiple the two have in common.
So, in sixty days, they’ll both get their car washed again
Toney: 15, 30, 45, 60
Brown: 20, 40, 60
Count the amount of days (or multiply) until the days for both match up
please help I really need it
Answers
Answer:
There's 2: I've attached an image.
Step-by-step explanation:
Lines of symmetry are found when you fold it, and it's exactly the same on both sides of the line that you folded it.
If your teachers ask, no, it cannot be diagonal. The triangles would not match up.
Brainliest if Correct!! Help QUICK....
Answers
Replace x with the x value solve to get the y value.
see attached picture for answers.
The two dot plots below compare the forearm lengths of two groups of schoolchildren:
Based on the visual inspection of the dot plots, which group appears to have the longer average forearm length?
A. Group A, because a child in the group has the least forearm length of 10 inches.
B. Group A, because four children have a forearm length longer than 12 inches.
C. Group B, because no child in the group has a forearm length longer than 12 inches.
D. Group B, because five children in the group have the least forearm length of 10 inches.
Answers
Find the surface area of this triangular prism:
Answers
144 cm^2
Bottom 32 + slant 40 + 2 sides 24 each + back 24
48cm/2=24cm
24x4cm=96cm
Answer=96 cm
what is the area, measured in square centimeters, of the triangle below? Do not include units in your answer
Answers
One afternoon, Dillon and 3 friends visit the zoo. They split the cost of parking the car evenly. Then each person buys a ticket to enter the zoo. By the end of the afternoon, each person has also purchased 2 bottles of water.
• Let p represent the parking cost.
• Let t represent the ticket cost.
• Let w represent the cost of a bottle of water.
Use the dropdowns to complete the statements.
(A) One way to express the total cost is to find the cost per person for a ticket and water. Then multiply this expression by
Choose...
and add
Choose...
.
(B) The expression for total cost described in part A is
Choose...
+
Choose...
.
(C) Another way to express the total cost is to add the cost of
Choose...
tickets plus the cost of
Choose...
bottles of water plus
Choose...
.
Answers
Answer:
A. 3 then add p
B. 3(t+2w) + p
C. 3, 6, p
explanation:
(A) One way to express the total cost is to find the cost per person for a ticket and water. Then multiply this expression by
3
and add
p
(B) The expression for total cost described in part A is
3(t+2w)
+
p
(C) Another way to express the total cost is to add the cost of
3
tickets plus the cost of
6
bottles of water plus
p
Write the following in scientific Notation
1. 5,250
2. 1,230,000
Write the following back to standard form
3. 3.42 x 10^6
4. 1.45 x 10^4
Answers
Answer:
1. 5.25 x 10^3
2. 1.23 x 10 ^6
3. 6420000
4 14500
Question
A mulch pile sits on the ground and is then covered with a tarp in the shape of a cone ( whose radius is 7 feet and has a height of 12 feet). The pile needs to be completely covered by the tarp. How much material is needed to make the tarp?
Answers
Answer:
...
Step-by-step explanation:
...
PLEASE HELP ASAP 40 POINTS!!!!
The results of a random sample of 1,000 people are recorded in Table 1. Use this data to answer the questions that follow.
Table 1
people who wear corrective lenses 762
people who wear glasses 638
people who wear contact lenses 124
Part A
What percentage of Americans would you predict wear corrective lenses?
Part B
What percentage of Americans would you predict wear glasses?
Part C
What percentage of Americans would you predict wear contact lenses?
Part D
There are about 320 million people living in the United States. Of these, how many would you predict wear corrective lenses?
Part E
Of the 320 million people in the United States, how many would you predict wear glasses?
Part F
How many of the 320 million people in the United States would you predict wear contact lenses?
Question 2
A different random sample of 1,000 people yielded the results recorded in table 2. Use this data to answer the questions that follow.
Table 2
people who wear corrective lenses 745
people who wear glasses 618
people who wear contact lenses 127
Part A
What percentage of Americans would you predict wear corrective lenses?
Part B
What percentage of Americans would you predict wear glasses?
Part C
What percentage of Americans would you predict wear contact lenses?
Part D
How many of the 320 million Americans would you predict wear corrective lenses?
Part E
How many of the 320 million Americans would you predict wear glasses?
Part F
How many of the 320 million Americans would you predict wear contact lenses?
Answers
t1
p.A69%
p.B58%
p.C43%
p.D~40%
p.E~30%
p.F~30%
t2
p.A~20%
p.B~30%
p.C35%
p.D~20%
p.E~40%
p.F~10%
i hope this helps have a nice day/night:)
this is a bonus question
Answers
Answer:
10,500
Step-by-step explanation:
See this as 2 rectangles: a box of water (28cm), and another box with the height you want (35cm)
Area of Rectangle = lwh
For the water;
50 x 30 x 28= 42000
As for the needed volume:
50 x 30 x 35 = 52500
To find how much more water, subtract the smaller volume from bigger volume.
10500 should be the final answer
Mia creates a box plot using 28, 34, 40, 24, 44, 49, and 32 as the data. Which of the following box plots shows the data accurately?
A. A box plot is drawn with endpoints at 24 and 49. The box extends from 32 to 48 and a vertical line is drawn inside the box at 38.
B. A box plot is drawn with endpoints at 24 and 49. The box extends from 26 to 42 and a vertical line is drawn inside the box at 32.
C. A box plot is drawn with endpoints at 24 and 49. The box extends from 30 to 46 and a vertical line is drawn inside the box at 36.
D. A box plot is drawn with endpoints at 24 and 49. The box extends from 28 to 44 and a vertical line is drawn inside the box at 34.
Answers
The verticals of a triangle are (2,5) (1,2) (3,1) to see once reflect the triangle in the x-axis and then rotate the triangle 90 degrees counterclockwise about the origin. what are the coordinates of the image.
Answers
Answer:
(5,2) (2,1) (1,3)
Step-by-step explanation:
First, reflect the image over the x-axis. This affects the y of each point to become negative, and moves the triangle from quadrant I to quadrant IV. This changes the points to be (2,-5) (1,-2) (3,-1).
Next, when rotating the triangle counterclockwise about the origin, the easiest way to describe what this does to the points is that it switches the numbers for x and y, and makes all of them positive. This is because the rotation ends up moving the coordinates back into quadrant I, so they're positive. However, the rotation does switch up the points a bit. So now, the points are (5,2) (2,1) (1,3).
Answer: are (5,2) (2,1) (1,3).
Step-by-step explanation:
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What is the surface area of the square pyramid?
6 square meters
16 square meters
28 square meters
49 square meters
Answers
Answer:
16 sq meters
Explanation
Surface area is the area of the figures combined. Find area of base and triangles then add.
2×2=4
2×3÷½=3
since there are 4 triangles you do 3×4
12+4= 16
B
to find the surface area of a square pyramid it’s- a=b•h2
WILLL GIVE POINTSSSS
Answers
Answer:
equation 1 : 4.5x + 27
equation 2: -9x\2 + 27
equation 3: 4.5x + 16
equation 4: 4.5x - 16
Step-by-step explanation:
4.5x+27=-9
4.5x=-36
x=-8
2) -9(1/2x-3) = -4.5x +27 =45
-4.5x+27=45
-4.5x=18
x=-4
3) 2(2.25x+8) = 4.5x+16=11.5
4.5x+16=11.5
4.5x=-4.5
x=-1
4) 8.5x - 2(2x+8) = 8.5x -4x -16 = 4.5x-16=11
4.5x-16=11
4.5x=27
x=6
Hope it helped!