Write an equation to describe the proportional relationship in this table. Explain your thinking and how you got your answer.
PLEASE HELP!! I DONT KNOW WHAT TO DO
Answers
Focus on the values in red outside the table (on the left and right sides). As the output increases by 4, the input increases by 1. This leads to the slope being rise/run = 4/1 = 4. The slope is the number just to the left of the x variable. So that's how they ended up with the equation y = 4x.
You can think of it as y = 4x+0, and note how it's in the form y = mx+b
m = 4 = slope
b = 0 = y intercept
The y intercept is the value of y when x = 0.
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Now because x = 0 and y = 0 pair up together, we can find the slope a different way: Pick any row other than the first row. Divide the y value over its paired x value. So let's say we pick on row two and we'd get a slope of y/x = 4/1 = 4.
Or we could pick on row three and get y/x = 8/2 = 4.
Picking on the fourth row gets us the slope to be y/x = 12/3 = 4. We end up with the same slope value each time. Again, this trick only works if (x,y) = (0,0) is on the line. Otherwise, you'll need to use the first method or use the slope formula.
For equations like this, we consider them a direct proportion. As x increases, so does y. As x increases by 1, y increases by 4. This is the same throughout the table.
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A real world example of this could be that x represents the number of sodas you buy, and if each soda is $4, then y = 4x represents the total cost of buying x number of sodas.
For instance, if you bought x = 10 sodas, then y = 4*x = 4*10 = 40 dollars is what you spend overall.
Related Questions
What is the measure of ∠A, the exterior angle of the triangle shown below? F. M∠A = 92°, because 180 – (50 + 38) = 92. G. M∠A = 272°, because 180 – (50 + 38) = 92 and 92 + 180 = 272. H.M∠A=78°,because 50–38=12and90–12=78. J. M∠A = 88°, because 50 + 38 = 88.
Answers
Answer: A is 88
Step-by-step explanation:
Sum of all angles is 180 degree.
Let the third interior angle be x.
38+50+x=180
88+x=180
x= 92
A and X are in linear pair.
A+X=180
A+92=180
A=88
Find the area of the SHADED region.
Round to the nearest TENTH if necessary.
Answers
Answer:
112
Step-by-step explanation:
18×8= 144 for the area of the entire rectangle.
4×4= 16/2=8 for the area of the triangle.
8×4=32 because there are 4 triangles.
144-32=112 because you don't want the area of the triangles only the shaded area
If a Hasan can eat 1/3 of his Shawarma in 1/2 minutes, how many Sharama’s can he eat in 2 minutes?
Answers
Answer:
He can eat 4/3 or 1 1/3 of his shawarma
Step-by-step explanation:
select the compound inequality shown on the graph.
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Explain why the natural numbers represent a subset of the integers
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Every natural numbers represent subset of the integers because integers consists of positive and negative numbers and natural numbers are positive numbers 1 to infinity.
Please help me ASAP!!!
Answers
Answer:
the third one (2,-18)
Step-by-step explanation:
PLEASE HELP ME WITH GEOMETRY!!!!
Answers
Answer:
R 29
Step-by-step explanation:
tan x = 7.7/14 = 2.8.8
AC opposite
BC adjacent
AB hypotenuse
Answer:
R
Step-by-step explanation:
S and P would be too high
ABR makes the most sense
because x = 7.7/14 = 2.8.8
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using the equation, what height was the rocket launched from? y=-16x^2+57x+32
Answers
9514 1404 393
Answer:
32 feet
Step-by-step explanation:
0 seconds after launch, the rocket is still sitting on the tower. Its height is...
y = -16(0^2) +57(0) +32
y = 0 + 0 + 32 = 32
The rocket was launched from a tower 32 feet high.
If x = 8 units, y = 6 units, and h = 4 units, then what is the area of the parallelogram shown above? A. 24 square units B. 32 square units C. 28 square units D. 48 square units
Answers
Answer:
c
Step-by-step explanation:
Ryan is installing new flooring in house. Ryan can install 196 square feet of flooring in 2 hours How much new flooring can Ryan install in 16 hours? Please let me know !
Answers
Answer:
1568
Step-by-step explanation:
196/2=98
98*16=1586
Ryan can install 1568 square feet of flooring in 16 hours
Hope this helps!
You choose two different movies on a list at random. Out of 10 movies on the list, 6 are action movies. The first movie you choose is an action movie. What is the probability that the second movie is also an action movie? Write your answer as a fraction in simplest form.
Answers
Answer:
5/9
Step-by-step explanation:
You have 10 movies in total. You take 1 out of 6 action movies. Now you have 5 action movies left, so that means the probability is 5/9. It's 5/9 because you chose 1 action movie out of 10 movies in total, so that means there are 9 movies in total left.
Solve the algebraic expression , is it equivalent?
Answers
Answer:
No
Step-by-step explanation:
When you distribute the -2 you get 6x -2x+2. When you simplify it you get 4x+2 which is different than 4x-2.
A floor mat for gymnastics is a square with a side length of 14m. What is the area of the floor mat in square metres? Explain?
Answers
Answer:
196 square meters
Step-by-step explanation:
If the floor mat is square and one side is 14m then all sides are 14m. Given this you would find area by multiplying length by width.
L=14 W=14
14x14=196
There are 196 square meters
A cylindrical soup can has a diameter of 3.8 in. and is 5.4 in. tall. Find the volume of the can.
Answers
Answer:
the volume of the can is 61.21 cubic inches
Step-by-step explanation:
Given that
The diameter is 3.8 inches so the radius would be = 3.8 ÷ 2 = 1.9 inches
And, the height of the cylindrical soup is 5.4 inches
We need to find out the volume of the can
As we know that
The volume of the can is
[tex]Volume = \pi r^2h\\\\Volume = 3.14 \times 1.9^2 \times 5.4[/tex]
Volume = 61.21 cubic inches
Hence, the volume of the can is 61.21 cubic inches
Can someone help me with this?
Answers
Answer:
G
Step-by-step explanation:
what is 4 1/2 plus 6 2/5
Answers
Answer:
10.9
Step-by-step explanation:
4 1/2 plus 6 2/5=10.9
Answer: 10.9
Step-by-step explanation:
i need help asap please
Answers
Answer:
1. 1570
2. can't see properly
3. can't see properly
4. 392.5
5. 615.4
6. 6049
7. not clear can't see
8. 1589
9.:1570
Solve these equations: tan^2x-3tanx+2=0
Answers
u² - 3u + 2 = 0
The equation can be factored as follows,
(u - 1)(u - 2) = 0
u - 1 = 0 ; u = 1 and u - 2 = 0 ; u = 2
Thus, tangent(x) = 1 and tangent(x) = 2. The values of x are 45° and 63.43°.
A coach records the ages of the players on two of her teams. Which statement about the ages of the students is true? A The range of ages is the same for both teams.The range of ages is the same for both teams. B The mode(s) of the ages is the same for both teams.The mode(s) of the ages is the same for both teams. C The mean age of the players on the volleyball team is less than the mean age of the players on the baseball team.The mean age of the players on the volleyball team is less than the mean age of the players on the baseball team. D The median age of the players on the volleyball team is greater than the median age of the players on the basketball team.
Answers
Answer:
Bro u need to put in the graph or the chart or something
Step-by-step explanation:
Help
Help
Help
Help. Help help help help help help help help
Please answer ☻
Convert the following number to a percentage find the value that belongs in the box.
333 = __%
Answers
Answer:
3 (or 3.33)
Step-by-step explanation:
333 as a percent is 3.33
this rounds down to 3, so 3 is your answer
Please help solve correctly. NO links or files. Correct answers only if not report. I will even give an additional 10 if correct.
Answers
Answer:
144.51326 [tex]cm^{2}[/tex]
Step-by-step explanation:
A = 2πrh + 2π[tex]r^{2}[/tex]
d = 4
r = 4/2 = 2 cm
h = 9.5cm
A = 2π(2)(9.5) + 2π[tex](2)^{2}[/tex] = 144.51326 [tex]cm^{2}[/tex]
Don't know if you need to round it or not
Consider the diagram below. Which of the following represents the value of the missing side? Round to the nearest tenth.
Answers
answer 2.5 i have solved the problem three times in my geometry class and got the same answer all three times
Considering the diagram below the value which represent the missing side, round to the nearest below, tenth, is 2 units.
What is Pythagoras theorem?Pythagoras theorem says that in a right angle triangle, the square of the hypotenuse side is equal to the sum of the square of the other two legs of right angle triangle.
The image of the given problem is attached below. In this diagram, the radius of the circle is 1.5 meter long.
The triangle ABC shown in the graph is right angle triangle as, the tangent of the circle is perpendicular with the radius of it at the point of contact.
Thus, by the Pythagoras theorem,
[tex](AB)^2+(BC)^2=(AC)^2\\(1.5)^2+(x)^2=(1.5+1)^2\\(x)^2=(2.5)^2-(1.5)^2\\x=\sqrt{6.25-2.25}\\x=\sqrt{4}\\x=2\rm\; units[/tex]
Thus, considering the diagram below the value which represent the missing side, round to the nearest below, tenth, is 2 units.
Learn more about the Pythagoras theorem here;
https://brainly.com/question/343682
#SPJ2
Find the area of the given triangles. please and thank you
Answers
Answer:
6cm squared
Step-by-step explanation:
to find the area of a triangle, it is base x height divided by 2
4 x 3 = 12
12 divided by 2 = 6
here’s the
question to my last
post :)
anyways
Answers
1 Pint 4 Fluid Ounces!
Question 2 options:
A pile of sand is in the shape of a cone. The diameter of the sand pile is 22 feet and the height is 12 feet.
The volume of the sand pile is approximately___ cubic feet.
Use 3.14 for pi. Do not round your answer.
Answers
Help please I’ll mark you brainliest!!
Answers
Answer:
35 ft
Step-by-step explanation:
Sorry this took me so long, I am 99% sure it is right though
I hope this helps :)
Simplify:
[tex]\frac{6^{3}-7\cdot3^{4}-2^{5}\cdot9}{\left(1-2^{3}\right)^{3}+7^{3}}[/tex]
Answers
Answer:
Simplifed:
[tex]\frac{6^{3}-7\cdot3^{4}-2^{5}\cdot9}{\left(1-2^{3}\right)^{3}+7^{3}}[/tex]
[tex]\frac{6^{3}-7\cdot3^{4}-2^{5}\cdot9}{\left(1-2^{3}\right)^{3}+7^{3} } \\ \frac{216 - 567 -288 }{ { - 7}^{3} + {7}^{3} } \\ \frac{ - 639}{0} [/tex]
infinity
What is the standard form of a trinomial?
Answers
Answer:
ax2 + bx + c
Step-by-step explanation:
the 2 is the square
The circle with center O has a circumference of 36 units. What is
the length of minor arc AC?
А.
A. 9 units
B. 12 unh's
C. 18 units
D. 36 units
Answers
18.6 in
Which is the best approximation for the measure of angle
EGF?
32.8°
40.2
OOO
49.8°
57.2
Answers
Answer:
The answer is "[tex]40.2^{\circ}[/tex]"
Step-by-step explanation:
Please find the graph file.
Let
[tex]\angle EGF = x\\\\\sin x = \frac{12}{18.6}\\\\\sin x = 0.6452 \\\\x = \sin^{-1} (0.64516129) \\\\x = 40.1777695^{\circ} \approx 40.2^{\circ}[/tex]