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.
Related Questions
Identify next 3 numbers in this sequence 2,6,3,9,6,18,15
Answers
The sales tax rate in Connecticut is 6.35%. Megan wants to buy a jacket with a $45.00 price tag. She has a gift card to the store she wants to use. What amount needs to be on the gift card for Megan to be able to buy the jacket using only the gift card? Select all that apply. A. $2.86 B. $47.86 C. $45.00 D. $47.70 E. $35.29 F. $48.25
Answers
Answer:
B C A
Step-by-step explanation:
Pls pls Pls pls Pls Pls help me pls pls pls pls pls pls ASAP pls pls pls Pls pls Pls pls Pls Pls help me pls pls pls pls pls pls ASAP pls pls pls Pls I WILLL BRAINLIEST!!!!
Answers
Answer:
y = -3x - 8
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Step 1: Define
slope m = -3
y-intercept = -8
Step 2: Plug into equation
y = -3x - 8
Anthony wants to make a discretionary purchase of a basic laptop computer. He checks the prices of a particular make and model listed by seven different venders on a shopping comparison website. He found these prices: $850, $798, $2,400, $790, $836, $700, and $780. He computes the mean as $1022.
Answers
Answer:
He computes the mean as $1,022.
Step-by-step explanation:
Enter your answer and show all the steps that you use to solve this problem in the space provided.
Write and inequality for the graph.
Answers
Answer:
Step-by-step explanation:
The US emerged as a world power because of its success in
A. the Korean War
B. World War I
C. World War II
D. the Cold War
Answers
Answer:
its c
Step-by-step explanation:
trust and dont vote me out! its not me i sware its cyan he sus!
Answer:
It's C
Step-by-step explanation:
Solving and Graphing a Compound Inequality
Select the graph that represents the solution of the compound inequality-6 S 4x + 6 < 14.
-5
2.
-1
0
1
+
4
2
3
5
4 3
-2
1
1
0
2
4
1
-3
-2
11
2
0
1
3
4
5
-2
-1
0
1
1
+
2
+
3
+
4
5
Answers
Complete the statement. If a transversal intersects two parallel lines, then _____
A) alternate interior angles are always congruent.
B) same-side interior angles are always complementary.
C) same-side exterior angles are always complementary.
D) corresponding angles are always supplementary.
Answers
Answer:
B)
Step-by-step explanation:
They are intersected to make a same side interior angle.
Answer:
A) alternate interior angles are always congruent.
Alexa is using 6 pounds of apples to make pies.
How many ounces of apples is Alexa using for the pies?
(1 pound = 16 ounces)
Answers
Answer: The answer would be 96 ounces
Step-by-step explanation: You simply multiply 6 by 16 because that's how you convert pounds to ounces.
Answer:It would be 96 ounces because you would fo 16 × 6 = 96
eli worked on a part time job in summer for 6 days. he worked 4 hours on each of the 6 days. he was paid a total of 300 for his work. how much did he get paid for each hour he worked? writer your number as a mixed number in the simplest form.
Answers
Answer:
$12.50 per hour
Step-by-step explanation:
I have 47 red marbles and 76 blue marbles estimate the total number of marbles I have
Answers
Answer:
about 130 marbles
Step-by-step explanation:
round 47 to 50
round 76 to 80
you have about 130 marbles
Answer:
About 100.
Step-by-step explanation:
47+76=123
123 is closer to 100 than to 200.
Sue bought 2 large cans of dark beans and 4 pounds of chicken. Each can of beans
costs $2.19. Her total cost was $ 20.34. How much did each pound of chicken cost?
Which each equation could you write to solve this problem?
Answers
Answer:
3.99
Step-by-step explanation:
2.19x2=3.99
20.34-4.39=15.96
15.96 divided by 4 =3.99
State whether each equation is true or false. For each equation that is true, write the number property shown by the equation.
a. 0 + 17 = 17. True or False?
false
Property:
communitive
b. 15 ÷ 3 = 3 ÷ 15. True or False?
true
Property:
comunitive
c. 2 + (4 + 9) = (2 + 4) + 9. True or False?
true
Property:
asociotive
d. 14 • 0 = 14. True or False?
false
Property:
Multiplication Property of Zero
fix the wrong answers
Answers
Step-by-step explanation:
a. true
property: identity
b. false
property: communitive
c. true
associative
d. false
property: multiplication property of zero
can someone tell me what to write of how i found the answer please ?!
Answers
Answer:
108
Step-by-step explanation:
4−22+135−9
=−18+135−9
=117−9
=108
you want new jeans and there is a sale this week where they are marked down 30%. what is your final cost if the original price is $50?
Answers
Answer: 15 dollars
Step-by-step explanation:
0.3 * 50
Lines E, F, and G are parallel lines cut by transversal H as shown below. What is the value of
a+b+c+d?
Answers
Answer:
okay now i get it its not easy at first but look at it for a bit and yoll get it
A state makes license plates with five letters followed by one number with no repetitions of the letters permitted. How many different possibilities are there
Answers
Answer:
78936000 possible selections
Step-by-step explanation:
Given
Letters = 5
Digits = 1
Required
Possible number of selection.
Since the letters can't be repeated and there are 26 alphabets.
The first letter can be any of 26
The second = 25
The third = 24
The fourth = 23
The fifth = 22
The digit can be any of 0 - 9 (10 digits).
So.
The possible number of selection is.
Number = 26 * 25 * 24 * 23 * 22 * 10
Number = 78936000
can you guy help me quick wit this please
Answers
How do you do these 2 questions?
Answers
Answer:
0 ≤ an ≤ bn
The series ∑₁°° bn converges
The series ∑₁°° an converges by comparison to ∑₁°° bn.
0 ≤ an ≤ bn
The series ∑₁°° bn diverges
The comparison test is inconclusive for our choice of bn.
Step-by-step explanation:
an = 1 / (n² + n + 3) and bn = 1 / n²
The numerators are the same, and the denominator of an is greater than the denominator of bn. So 0 ≤ an ≤ bn.
bn is a p series with p > 1, so it converges.
Since the larger function converges, the smaller function also converges.
an = (3n − 1) / (6n² + 2n + 1) and bn = 1 / (2n)
If we rewrite bn as bn = (3n − 1) / (6n² − 2n), we can tell that when the numerators are equal, the denominator of an is greater than the denominator of bn. So 0 ≤ an ≤ bn.
bn is a p series with p = 1, so it diverges.
The larger function diverges. We cannot conclude whether the smaller function converges or diverges.
The cost of a taxi ride is represented by the function c(m)=2m +4, where m is the number of miles traveled. Use the graphing tool to graph the function
Answers
Answer:
So first you must understand what your function represents the 2 is your (slope of the line) the +4 is the y intercept.
So you need to plot a point at (0,4) and then you need to use the slope to go up 2 units over 1 unit. And you need to use the negative of the slope to the left of the point you plotted on the y - int so you need to go down 2 units and left 1.
Hope you understood if you didn't drop a comment and I will try to reply.
A car sharing service offers a membership plan with a $50 per month fee that includes 10 hours of driving each month and charges $9 for each additional hour
(A) Write a piecewise definition of the cost F(x) for a month in which a member uses a car for x hours
(B) Graph F(x) for 0 < x s 15
(C) Find lim x--->10 F(x), lim x--->10F(x), and lim x--->10F(x), which- ever exist.
Answers
Answer and Step-by-step explanation:
Given:
Charges includes 10 hour per month = $50
Charges for additional hour = $9
Piecewise definition of cost F(x) for a month in which a member use a car for hours.
Find limits?
Find lim x--->10 F(x), lim x--->10F(x), and lim x--->10F(x), which- ever exist.
Lim x → 10- F(x) = 50$
Lim x → 10 [ 9x – 70] = 9( 10) – 70
= 90 – 70
= 20 > 10
Limit does not exist.
Lim x → 10+ F(x) = 50$
Lim x → 10+ F(x) = Lim x → 10+ [90x – 70]
= 90 – 70
= 20 > 10
Limit does not exist.
Lim x → 10 F(x) = 50$
An integer or an decimal.
The limit does not exist.
The piece wise definition of the cost [tex]f(x)[/tex] for a month in which a member uses a car for [tex]x[/tex] hours is given by the equation,[tex]f(x)= 50+9(x-10)[/tex].
Given,
Membership plan is [tex]\$50[/tex] per month.
We have to write a piece wise definition of the cost [tex]f(x)[/tex] for a month in which a member uses a car for [tex]x[/tex] hours.
Here, [tex]\$[/tex][tex]$50[/tex] per month fees includes 10 hours of driving each month, so the cost for a month is given as,
[tex]f(x)= 50+9(x-10)[/tex]
Here [tex]x[/tex] is the no. of additional hours for the month.
Further,
[tex]f(x)= 9x-40[/tex].
Now at,
[tex]lim _{x \to 10^+}f(x) = 9\times 10-40\\[/tex]
Or,
[tex]f(x)= 90-40\\f(x)=50[/tex]
Similarly, at left limit,
[tex]lim _{x \to 10^-}f(x) = 9\times (-10)-40[/tex]
Or,
[tex]f(x)=-90-40[/tex]
[tex]f(x)=-130[/tex]
Finally at [tex]x=10[/tex], [tex]f(x)=9\times10-40[/tex]
[tex]f(x)=90-40\\f(x)=50[/tex]
Since [tex]lim{x \to}10^+[/tex] [tex]\neq limx\to 10^-\neq f(x) (at x= 10)[/tex]
So the required function [tex]f(x)[/tex] is discontinuous at [tex]x=10[/tex]
Hence the piece wise definition of the cost [tex]f(x)[/tex] for a month in which a member uses a car for [tex]x[/tex] hours is given by the equation,[tex]f(x)= 50+9(x-10)[/tex].
For more details on limit follow the link below:
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Find the cardinal number of the set:
{2,4,6,...,18}
Answers
Answer:
9
Step-by-step explanation:
The cardinality of a set - the number of terms in that set.
in the set {2, 4, 6, ... 18}
We can assume that the numbers follow a pattern: in this case, the pattern is multiples of 2 till 18 starting with 2.
so that means that the full set is
{2, 4, 6, 8, 10, 12, 14, 16, 18}
There are 9 numbers in that set;
so the cardinality of the set is 9
Solve 6x - 7y= 16 for y.
Answers
Answer:
y = 6/7x -16/7
Step-by-step explanation:
6x - 7y= 16
Subtract 6x from each side
6x-7y-6x = -6x+16
-7y = -6x+16
Divide by -7
-7y/-7 = -6x/-7 + 16/-7
y = 6/7x -16/7
6x - 7y = 16
Subtract 6x from both sides.
-7y = -6x + 16
Divide both sides by -7
y = 6/7x - 16/7
Let x be a continuous random variable that is normally distributed with a mean of 25 and a standard deviation of 6. Find the probability that x assumes a value between 29.0 and 55.0. Use Table IV in Appendix C to compute the probabilities. Round your answer to four decimal places.
Answers
Answer:
i think it is between 22 and 35
Step-by-step explanation:
The point-slope form of the equation of the line that passes through (-9, -2) and (1, 3) is y– 3 = {(x - 1). What is
the slope-intercept form of the equation for this line?
O y= {x+ 2
O y={x-4
oyufx &
O y=2x-Ź
Answers
Answer:
Step-by-step explanation:
The answers is A
5. A Ferrari gets 14 miles per gallon of gas. Gas costs $3.18 per gallon. If the Ferrari's gas
tank holds nineteen gallons, and assuming the tank was empty, how much would it cost to fill
the tank and how far could the Ferrari go before it ran out of fuel?
Answers
Answer:
44.52
Step-by-step explanation
A shirt is on sale for 25% off, and the total comes out
to $15. What is the original price?
Answers
Answer:
$18.75
Step-by-step explanation:
In 2012, there were approximately 275 students in the Delaware High School band. In 2018, that number increased to 305. Find the annual rate of change in the number of students in the band.
Answers
A rate of change tells us how one quantity changes in relation to another quantity.
The annual rate of change in the number of students in the band is 5.
What is rate of change?A rate of change is a rate that tells us how one quantity changes in relation to another quantity.
We have,
Number of students in the band in 2012 = 275
Number of students in the band in 2018 = 305
The rate of change in the number of students in the band:
= 305 - 275 / 2018 - 2012
= 30 / 6
= 5
Thus the annual rate of change in the number of students in the band is 5.
Learn more about the rate of change here:
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Which equation represents the vertical line passing through (7,-3)?
A
X=-3
B. y=-3
C.
x=7
D.y= 7
Answers
Answer:
a
Step-by-step explanation:
(0,-3)
-3 x axis form a vertical line
Answer:
c. x=7
Step-by-step explanation:
12. It takes Daphne 25 minutes to assemble a model plane. During her work
minutes for lunch and one 15 minute break. Which inequality could Daphne use to determine the number
of model planes, p, she can assemble in her 8 hour work day?
A. 25p – 45 > 8
B. 25p + 45 2 8
C. 25p – 45 < 480
D. 25p + 45 < 480
Answers
Answer:
25p+45 < 480
Step-by-step explanation: