Alan compared the slope of the function y=3x+2 to the slope of the linear function that fits the values in this table. Which choice is true about the slopes of the two functions?
Answers
OPTIONS:
*The slope of the graph of the table is 1 more than the slope of the graph of the equation.
*The slope of the graph of the table is 2 more than the slope of the graph of the equation.
*The slope of the graph of the equation is 2 more than the slope of the graph of the table.
*The slope of the graph of the equation is 1 more than the slope of the graph of the table.
Answer:
The slope of the graph of the equation is 1 more than the slope of the graph of the table.
Step-by-step explanation:
The slope in the equation of the function, y = 3x + 2, is identified as 3.
We know this because, the equation for the function was given in the slope-intercept form, y = mx + b, where m represents the slope.
Therefore, the slope of the function is 3.
The slope of the function represented by the table of values can be calculated using any two given pairs on the table.
Using (1, 6) and (3, 10):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_2} = \frac{10 - 6}{3 - 1} = \frac{4}{2} = 2 [/tex]
Slope of the function represented by the table of values is 2.
Therefore, comparing the slope of both functions, we can conclude that:
✅"The slope of the graph of the equation is 1 more than the slope of the graph of the table."
Related Questions
Mary has been offered two jobs. Job A has a starting salary of $36,000 and a raise of $1500 every year. Job B has a starting salary of $29,000 and a raise of $2500 every year. In how many years would Mary's salary be the same at both companies. What would that salary be?
Answers
Answer:
6 years. Mary's salary would be 46,500.
Step-by-step explanation:
It's hard for me to explain how I got the answer. But I know the answer is right(I know cause I checked my work like five times).
Mason gave the waiter a $14.58 tip, which was 15 percent of the dinner bill. What was the amount of the dinner bill before he added the tip?
A. $9.72
B. $21.87
C. $97.20
D. $218.70
Answers
Answer:
21.87
Step-by-step explanation:
Cynthia is training to run the 100 yard dash. The first week she ran it is 14.0 seconds. The third week she ran it in 13.1 seconds. What is the percent change from week 1 to week 3 rounded to the nearest tenth of a percent?
Answers
Answer:
6.43% change
Step-by-step explanation:
Have a good one
The percentage is calculated by dividing the required value by the total value and multiplying it by 100.
The percent change from week 1 to week 3 rounded to the nearest tenth of a percent is 6.4%.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying it by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
First week:
Time taken to run 100 yards = 14 seconds
Third week:
Time taken to run 100 yards = 13.1 seconds
The percentage change in the time from the first week to the third week:
= [(Time taken at the first week - Time taken at the third week) / Time taken at the first week ] x 100
= [(14 - 13.1) / 14] x 100
= 0.9/14 x 100
= 6.4%
This means that there is 6.4% from the first week to the third week.
Thus,
The percent change from week 1 to week 3 rounded to the nearest tenth of a percent is 6.4%.
Learn more about percentages here:
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Find the measure of the indicated angle to the nearest degree
Answers
Answer:
23°
Step-by-step explanation:
Using trigonometry and the Soh Cah Toa method you can find this. Because you are looking for an angle you have to use the inverse and because it is adjacent and hypotenuse you use cosine. So take cos*-1( 35/38) because 35 is the adjacent and 38 is the hypotenuse.
25% of the dogs at a park are Corgis. There are 28 dogs at the park. How many dogs at the park are NOT Corgis?
07
O 14
O 20
O 21
O 24
Answers
Answer: 21
Step-by-step explanation:
Jose got 56 questions correct on a test, which gave him a 70%. How many questions were on the test
Answers
Divide correct questions by percentage:
56/ 0.7 = 80
There were 80 questions total.
hey anyone under 15 wanna be freinds ?
Answers
Answer:
sure
Step-by-step explanation:
im 5 tho :(
Meeeeee I’m 14 <3.............
The pull of gravity is different on Earth than on the Moon. An object that weighs 25 pounds on Earth weighs about 4 pounds on the Moon. An astronaut, wearing all the necessary gear, weighs 500 pounds on Earth. How many pounds would the astronaut with gear weigh on the Moon?
Answers
Answer:
About 80 pounds
Step-by-step explanation:
25 / 4 = 6.25
500 / 6.25
Answer:
80 pounds
Step-by-step explanation:
Which of the following expressions is equivalent to 3m(m - 2) - (m^2 + 1)
A. 2m^2 - 1
B. 4m^2 - 1
C. 4m^2 - 6m + 1
D. 2m^2 - 6m - 1
Answers
help!!! please & explain if can:(
Answers
Answer:
x = 15
Step-by-step explanation:
AEB is a right angle, a right angle is 90 degrees
this means 5x+15 needs to equal 90
plug in 15 for x
5 x 15 + 15 = 90
Which graph correctly matches the equation y = 2-x?
Answers
Answer:
This is the graph I got (0,2) (2,0)
Step-by-step explanation:
Can you plz help me with this question ?
Answers
Answer:
AC=PR because a and c are the first and third letters of the first group so you would do the same with the second.
Step-by-step explanation:
A mill processes 48 tons of flour in 3 hours. How many tons of flour can the mill process in 8 hours if its rate of production stays the same?
please help if you have the time :)
Answers
Answer:
The answer is 112
Step-by-step explanation:
first you add 48 together twice to get 96 which represents 6 hours. Then you divide 48 by 3 to get 16. So you add 16 to 96 which represents 2 hours giving you a total of 112 tons of flour for 8 hours.
4 pounds of sugar can make 8 batches of candy corn. How many pounds of sugar are needed if we want to make 12 batches of candy corn?
Answers
6
(4=8 so 8+4=12 which means, the answer is 2 because we can´t do 16, which is 8+8. But we can split the 4 in half since 4 is half of 8.)
Question 3 of 10
What is the slope of the line shown below?
10
A.
13
6
(1.6)
o
B.
6
16
- 5
C.
6
13
5
• (-5, -7)
D.
6
13
Answers
Answer:
c
Step-by-step explanation:
Writing the Equation of a Line in Slope-lh
Given Two Points
Try it
Write the equation of the line that passes through
the points (-1, 2) and (6, 3) in slope-intercept form,
Step 1: Choose (X1Y1).
Answers
Answer:
[tex]y=\frac{1}{7}x +\frac{15}{7}[/tex]
Step-by-step explanation:
What is the value of n in the equation { (2n + 4) + 6 = -9 +4(2n+1)?
n =
N= 1
Answers
Answer:
n=1
Step-by-step explanation:
its stay same always.
Please help me I will mark you as brainlist pls you need to pick 2 answers
Answers
Answer:
i believe the answer is option 1 and option 4
Step-by-step explanation:
Answer:
3 mi / 1hr
6 mi / 2hr
Step-by-step explanation:
1+1+????????????????????????
Answers
Answer: 4
Step-by-step explanation:
1+1+2=4. Jk
thx for the free points
Answer:
8432324
Step-by-step explanation:
The junior high art club sells candles for a fundraiser. The first week of the fundraiser, the club sells 7 cases of candles. Each case contains 40 candles. The goal is to sell at least 13 cases. During the second week of the fundraiser, the club meets its goal.
Answers
Answer:
The minimum number of cases sold the second week was
The number of candles sold in the second week is 240 candles
What is Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Number of cases sold on first week = 7 cases
Number of candles in each case = 40 candles
Total cases of candles to be sold = 13 cases
Remaining cases of candles to be sold in second week =
Total cases of candles to be sold - Number of cases sold on first week
Remaining cases of candles to be sold in second week = 13 - 7
= 6 cases
Therefore , number of candles in 6 cases = 6 x 40
= 240 candles
Hence , the number of candles sold in the second week is 240 candles
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Which diagram shows possible angle measures of a triangle?
Answers
Answer:
The 2nd one
Step-by-step explanation:
A triangle has to equal 180 and 115+32+33=180
Answer:
the second one
Step-by-step explanation:
the angles have to add up to 180 in total and that one does
Solve the problem.
In less than two months the world will be celebrating Christmas, a season of gift giving. The Philippines is noted for the
longest Christmas celebration because Filipinos just love Christmas. One of the Filipino traditions during Christmas is the
exchange of gifts between families or friends. This year you want your gift to be very special, you want to make a personalized
gift box for your mother. The gift box has a volume of (2x - 10x2 - 8x + 58) cubic inches, the height of the gift box (2x-2) inches,
length of (4x-5) inches and width of (x + 1) inches.
Make a gift box using the given above by solving the value of x. Use any available materials at your home and be
creative.
Answers
Step-by-step explanation:
Filipino Christmas practices. Every country has its own set of traditions to follow for the Yuletide season, but Filipinos do it best. After all, we celebrate Christmas longer than any other country ...
have a nice day ahead hope it will help you
love u dear
The value of y varies directly with x. If x = 4, then y = 20.
What is the value of x when y = 60?
5
7
12
44
Answers
Answer: 12
Step-by-step explanation:
Since value of y varies directly with x, we introduce a constant, k which will give:
y = kx
If x = 4, then y = 20 we then calculate the value of k.
y = kx
20 = 4k
k = 20/4
k = 5
We then find the value of x when y = 60. This will be:
y = kx
60 = 5x
x = 60/5
x = 12
The value of x is 12 when y is 60
A popular dance club allows 29 customers to enter per hour. The club has to keep their occupancy below 600 at any time during the day. Currently, the club has 339 customers. If none of the customers leave, how many more hours, x, can the club continue to accept new customers?
Select the number line that includes the largest number of hours the club can continue to accept new customers without exceeding their occupancy.
Answers
Answer:
The club can continue to accept customers for 9.66 hours, after which they'll have exceeded 600.
Step-by-step explanation:
339 + 29h = 600
29h = 261
h = 9.66
What is the volume of the geometric solid produced by the triangle below
when it is rotated 360 degrees about the vertical axis YZ? *
Answers
Answer:
The volume of the geometric solid produced is 391 cubic cm ⇒ A
Step-by-step explanation:
When a right triangle is rotated about its vertical leg 360°, then it formed a cone its radius is the horizontal leg of the triangle and its height is the vertical lege of the triangle.
The rule of the volume of the cone is V = [tex]\frac{1}{3}[/tex] π r² h, where
r is the radius of its baseh is the length of its height∵ Triangle XYZ is rotated 360° about the vertical side YZ
∴ It formed a cone with a radius = XZ and a height = YZ
∵ [tex]\frac{YZ}{XZ}=tan(60)[/tex]
∵ YX = 6√3
∴ [tex]\frac{6\sqrt{3}}{XZ}=tan(60)[/tex]
∵ tan(60) = √3
∴ [tex]\frac{6\sqrt{3}}{XZ}[/tex] = √3
→ By using cross multiplication
∴ 6√3 = XZ(√3)
→ Divide both sides by √3
∴ 6 = XZ
∵ XZ = r and YZ = h
∴ r = 6 and h = 6√3
→ By using the rule of the cone above
∵ V = [tex]\frac{1}{3}[/tex] (π) (6)² (6√3)
∴ V ≅ 391 cm³
∴ The volume of the geometric solid produced is 391 cubic cm
The tax rate as a percent, r, charged on an item can be determined using the formula StartFraction c Over p EndFraction minus 1 equals r. – 1 = r, where c is the final cost of the item and p is the price of the item before tax. Louise rewrites the equation to solve for the final cost of the item: c = p(1 + ). What is the final cost of a $40 item after an 8% tax is applied? $
Answers
Answer:
43.20
Step-by-step explanation:
Had to take one for the team
Answer:
The answer is 43.20.
when divided by 8 i am 70 when divided by 7 i am 80
Answers
Answer:
your answer is 560 am I correct.
8×70=560 /560 =8
70
7×80=560. / 560 =7
80
Help I have 1 hr to finish this assignment! Ahhhhh! Will gib brainliest!
Answers
Answer:
I think its A
Step-by-step explanation:
Answer:
i think its b yea b
Step-by-step explanation:
Please help me solve question 1 thank you !!
Answers
Answer:
it would be 90 or 98
Step-by-step explanation:
explain three situations under which the President of India can proclaim emergency
Answers
Answer:
The President can exercise his emergency powers in three types of emergencies: national emergency, state emergency, and financial emergency.
National Emergency is imposed by the President on request by the Prime Minister’s cabinet of ministers. Article 352 of the Indian Constitution states that an emergency can be called in the event of imminent danger to the national security due to armed rebellion, war or external aggression.
State Emergency is often referred to as President’s Rule. State emergency is declared under Article 356, in the event when the state government collapses and the constitutional machinery fails in a particular state. It can be imposed for a period of six months and can last only for three years with parliamentary consent required every six months. The Governor, the President’s representative in the state, governs the state under emergency in the name of the President.
Financial Emergency is imposed by the President if he reckons financial stability of the country is in danger. Article 360 empowers the President to declare this emergency on the condition that it would be approved by the Parliament within two months of its enforcement.