Consider the linear function y = 5x + 12 and the linear function represented by the table of values below.

Answers

Answer 1

Answer:

(a) and (f)

Step-by-step explanation:

Given

[tex]y = 5x + 12[/tex]

See attachment for table and options

First, we calculate the slope of the table

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Using:

[tex](x_1,y_1) = (2,29)[/tex]

[tex](x_1,y_1) = (4,53)\\[/tex]

So, we have:

[tex]m = \frac{53- 29}{4 - 2}[/tex]

[tex]m = \frac{24}{2}[/tex]

[tex]m = 12[/tex]

The equation is then calculated using:

[tex]y = m(x -x_1) + y_1[/tex]

This gives:

[tex]y = 12*(x -2) + 29[/tex]

[tex]y = 12x -24 + 29[/tex]

[tex]y = 12x+5[/tex]

So, we have:

[tex]y = 5x + 12[/tex] --- The given equation

and

[tex]y = 12x+5[/tex] --- The equation of the table

An equation is represented as:

[tex]y = mx + b[/tex]

Where:

m = slope or rate of change

b = y intercept

So, for the given equation: [tex]y = 5x + 12[/tex]

Rate of change = 5

y intercept = 12

For the table: [tex]y = 12x+5[/tex]

Rate of change = 12

y intercept = 5

In conclusion:

(a) [tex]y = 12x+5[/tex] has the greater rate of change:

and

(f) [tex]y = 5x + 12[/tex] has the greater y intercept

Consider The Linear Function Y = 5x + 12 And The Linear Function Represented By The Table Of Values Below.

Related Questions

solve 3e = -27 show work
this one i dont understand how to do​

Answers

Answer:

-9

Step-by-step explanation:

This would be -27/3 = -9

Heather made 4 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for all 4 necklaces was $23.60. If the beads
cost a total of $12.40, how much did each pendant cost?

Answers

it would be $11.2 bc if you subtract $12.40 from $23.60 you get $11.2

Answer:

$2.80

Step-by-step explanation:

23.60 - 12.40 = 11.2

11.2 ÷ 4 = 2.80

$2.80

How do I Use the order of operations to simplify the expression. 1/3+1/5x1/9

Answers

Answer:

Step-by-step explanation:

1/3+1/5×1/9 = 1/3+1/45 = 9/45+1/45 = 10/45 = 2/9

use multiplication first, multiply 1/5 and 1/9 to get 1/45
then add 1/3,
(multiply 1/3 by 15/15 to get 15/45)

add 15/45 and 1/45 to get 16/45

em um campeonato de ciclismo um atleta precisou percorrer 54 000 m para a faixa de Chegada Sabendo que Ele demorou 7 2000 Segundos a Concluir a Corrida qual foi dua Velocidade Media em Km/h?​

Answers

Answer:

Average speed in km / h = 2.7 km/h

Step-by-step explanation:

Given:

Total distance = 54,000 m

Total time = 72,000 sec

Find:

Average speed in km / h

Computation:

Average speed = Distance / Time

Average speed = 54,000 / 72,000

Average speed = 0.75 m/s

1 m/s = 3.6 km/h

So,

Average speed in km / h = 0.75 x 3.6

Average speed in km / h = 2.7 km/h

Fire Warden Armband
$7.50 each
$6.50 each
First Aid Armband
$7.00 each
$6.00 each
Which of the following items showed the greatest percentage discount in price for
buying in bulk?
Jackets
Trousers
Rucksacks
Belts
Fire Warden Caps
Submit
© Copyright IBM Corp. 2012, 2021

Answers

It is Fire warden caps.

Round The Following Number: 194,332.125

Answers

Answer:

The answer is 194000

Step-by-step explanation:

It is closer to 194000 than 195000

please help me asap!!

Answers

Answer:

3

Step-by-step explanation:

If it is 10 on the big one and 5 on the small ones it is half. So half of 6 is 3

Answer:

f=3

Step-by-step explanation:

5/10=x/6

10x=30

x=3

At a football stadium, 4% of the fans in attendance were teenagers. If there were 260 teenagers at the football stadium, what was the total number of people at the stadium?

Answers

Answer:

solution

4%=260

100%=?

=(100x260)/4

=6500

Percentage of fans in the stadium who were teenagers = 4%

Number of teenagers in the match = 260

Let the total number of people at the stadium be x.

Which means :

[tex] =\tt 4\% \: \: of \: \: x = 260[/tex]

[tex] =\tt \frac{4}{100} \times x = 260[/tex]

[tex] =\tt \frac{4 \times x}{100} = 260 [/tex]

[tex] = \tt \frac{4x}{100} = 260[/tex]

[tex] = \tt4x = 260 \times 100 \\ \tt \: \: \: = 26000[/tex]

[tex] =\tt x = \frac{26000}{4} [/tex]

[tex]\color{plum} =\tt x = 6500[/tex]

▪︎Therefore, number of people at the stadium = 6500

If a dozen eggs cost $3.84 calculate the cost of 30 eggs

Answers

Answer:

a dozen is 12 so in this we find the unit rate which will be 3.84/12 which is $0.32 per egg now we multiply this by 30 which is $9.6 which is the cost for 30 eggs

THX mark me brainlyiest

$9.60 ............................

Find the area of the trapezoid

Answers

Answer:

1/2(l1+l2) is the area of trapezium

Answer:

A=a+b /2h

Step-by-step explanation:

Please help with this practice quiz!!

Answers

Answer:

slope is 9

Step-by-step explanation:

use the formula y=mx+b wherein m is the slope and b is the y-intercept

to solve for m, use formula (y2-y1)/(x2-x1):

[tex]\frac{127-1}{5-(-9)}[/tex] = [tex]\frac{126}{14}[/tex] (you add 5 and 9 together because negative + negative is positive)

126/14 = 9

Bob bought 24 hockey tickets for 83$

Answers

Answer:

i think the answer is $3.45

Step-by-step explanation:

just had to divide the two numbers

In a store the number of dogs is 12 times greater than 3 times of cats. If there are 21 dogs in the store, how many cats are in the store?

Answers

Answer:

If you really meant that the number of dogs is 12 greater than 3 times the number of cats then:

3 cats

Step-by-step explanation:

21= number of dogs

c = number of cats

21 = 12 + (3c)

3c = 9

c = 3

A boat can travel 77 9/16 nautical miles in 8 1/2 at how many knots is the boat traveling ​

Answers

Divide miles by time:

77 9/16 miles / 8 1/2 hours =

Rewrite as I’m proper fractions:

1241/16 / 17/2

Flip the second fraction over and multiply:

1241/16 x 2/17 = (1241x2)/(16x17) =

2482/272 = 9 1/8 miles per hour

Hi there!

Simplify each terms:

[tex]77\frac{9}{16}*8\frac{1}{2}=77\frac{9}{16}*8\frac{8}{16}[/tex]

Divide each terms:

[tex]77\frac{9}{16}*8\frac{8}{16}=9\frac{2}{16}[/tex]

Simplify terms:

[tex]9\frac{2}{16}=9\frac{1}{8}[/tex]

Final Result:

[tex]9\frac{1}{8}[/tex]


Line A is parallel to Line B
9. In the diagram, what is the value of x?
A. 78°
B. 108°
C. 98°
D. 82

Answers

Answer:

D or A

Step-by-step explanation:

D or A. STEP BY STEP EXPLANATION btw

Plzzz help its easy points and easy question im just dum!! What is the slope view image below.

Answers

Answer:

0.5

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

It's okay, you're not dum, you might have just not payed attention in online class or you might have forgotten.

We can find the slope by using 2 coordinates that are on a line.

We can choose any of the coordinates from this table. I'm gonna use (0, 4) and (2, 5)

The formula for find the slope is the rise over the run or

y1 - y2 / x1 - x2

4 - 5 / 0 - 5

-1 / -5

1/5

The slope is 1/5

10. A rectangle has a perimeter of 22 cm. If the length of the rectangle is 2 cm more than two times the
width, what are its dimensions?

Answers

Answer:

w = 3 cm

l = 8 cm

Step-by-step explanation:

let 'w' = width

let '2 + 2w' = length

P = 2l + 2w

22 = 2(2 + 2w) + 2w

22 = 4 + 4w + 2w

22 = 4 = 6w

18 = 6w

w = 3

length = 2 + 2(3) = 18

What are the next three terms in the sequence -27, -19, -11, -3, 5, ...?
A. 13, 21, 29
B. 22, 29, 36
C. 15, 22, 29
D. 8, 15, 22

Answers

Answer:

13, 21, 29

Step-by-step explanation:

the difference is 8

so add 8 to last numbers

Answer:

A

Step-by-step explanation:

u subtract each number by 8 then once u get to 5 u start adding them all by 8

15. If R is the midpoint of OS, OR = &r - 51 and RS = 3x - 6, find QS.
Only answer if right I need help

Answers

Give me a sec please

The buyer of a lot pays 50,000 and 10,000 every month for 10 yearts and is worth 8% compounded monthly

Answers

Answer:

d

Step-by-step explanation:

of course it is Charlie as he just walked 11.8 miles

Ani spent a total of $7.53 at a store. She bought some cereal for $3.67. She also bought 6 peaches.
If each peach cost the same amount, which equation can be used to find the cost of each peach, P?
A. P = $7.53-6
B. P = $3.67 6
C. P= $7.53 - ($3.67=0
D. P= ($7.53 - $3.67) = 6
E. P= ($7.53 + $3.67) = 6

Answers

Answer:

D

Step-by-step explanation:

It says she spent $7.53 at the store and she bought (SOME) cereal for $3.67

so we have to find how much the 6 peaches cost. To find it out we are going to have to subtract the cereal she bought from $3.67 and the money she wasted total so its going to be D.

Help ASSp please work out the value of A

Answers

Answer:

A = 3x^2 - 3

   ---------------

          2

Step-by-step explanation:

If the perimeter is 56 cm..

x - 1 + 3x + 3x + 1 = 56

7x = 56

x=8

The x - 1 side = 7

The 3x = 1 side - 25

The ex side = 24

The area of a triangle = base time height divided by 2.

So...

x-1 times 3x divided by 2 is your equation.

3x(x - 1) = 3x^2 - 3

A = 3x^2 - 3/2

Hope this is correct!!!

Find the Area: 12 ft 12 ft​

Answers

a=12 ft

Po=(0.25×π×a²)

Pc=a²+0.5×Po

Pc=a²+0.5×(0.25×π×a²)

Pc=a²×(1+0.5×0.25×π)

Pc=a²×(1+0.5×0.25×π)

Pc=144×(1+0.5×0.25×π)

Pc≈200.55 ft²

Geometry problem above^^^ In the figure at the right FGH ~ KLJ....

Answers

Answer:

x = 12

y = 4.5

Step-by-step explanation:

Since ∆FGH ~ ∆KLJ, therefore, we would have the following proportion:

[tex] \frac{FG}{KL} = \frac{GH}{LJ} = \frac{FH}{KJ} [/tex]

[tex] \frac{9}{y} = \frac{x}{6} = \frac{6}{3} [/tex]

✔️Let's solve for x using:

[tex] \frac{x}{6} = \frac{6}{3} [/tex]

Multiply both sides by 6

[tex] \frac{x}{6}*6 = \frac{6}{3}*6 [/tex]

[tex] x = \frac{6*6}{3} [/tex]

[tex] x = 12 [/tex]

✔️Solve for y using:

[tex] \frac{9}{y} = \frac{6}{3} [/tex]

Cross multiply

[tex] y*6 = 3*9 [/tex]

6y = 27

y = 27/6

y = 4.5

Find the value of x.
a) 21
b) 27
c) 31
d) 34

Answers

Answer:

21 is the answer

a question arises how?? right

so, 3x+1

3×21+1

63+1

64

Answer:

a) 21

Step-by-step explanation:

Since, in the figure

64° = (3x+1)° [Vertically Opposite Angles]

=> (3x+1)° = 64°

=> 3x = 64° - 1° = 63°

[tex] => x = \frac{63}{3} [/tex]

=> x = 21 (Ans)

brain size for football players

Answers

At least 3. Have a nice day! :)

3, 4, or 5, I think, but I'm not sure.


Question 3
Which reason below IS NOT one of the ways to prove that two triangles are congruent?
SSS
AAS
SAS
USSA

Answers

Answer:

Second one:

AAS

Step-by-step explanation:

searched it

Evaluate the expression when b=-7 and c=2.
b-6c
X 5
?

Answers

Answer:

-19

Step-by-step explanation:

-7 - 6(2) =

-7 - 12 =

-19

An item that was selling for $82.00 is reduced to $60.00. Find the percent decrease in price. Round your answer to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

Amount of decrease = 82-60 = 22

percentage decrease = 22/82 ≅ 0.268 = 26.8%

can someone plz help me out

Answers

Step-by-step explanation:

A drought is an event of prolonged shortages in the water supply, whether atmospheric, surface water or ground water. A drought can last for months or years, or may be declared after as few as 15 days.

Other Questions
Select the correct answer.What term refers to the behaviors associated with all of the positions that a person holds?OA.roleOB.role setOC.statusOD.status set Which is most likely to occur during a 24-hour weather cycle at the beach? A costume designer is using exactly 264 yards of green fabric to make 36 frog costumes. If each costume requres the same amount of fabric, how many yards will be used for each one? One number is 6 less than 5 times the other number. Their sum is 60. Find the numbers. Imagine you are a scientist, working at betty crocker institute on how to cook good. You are tasked with coming out with a new model of baking dish. your materials for making the baking dish are covalent compounds like plastic, and ionic compounds like plaster. which material would you make the baking dish out of and why? Need help ASAP Thankss + BRAINLIST only for correct answer What is the quotient of 3/7 and 14? n the Arctic, caribou and musk ox eat different kinds of plants, but the plants they eat typically grow in the same area. Therefore, these two species often require the same space in which to feed. In one part of the Arctic, caribou numbers have decreased and musk ox numbers have increased.Which best summarizes this scenario?This is an example of cooperation, and the musk ox were better adapted to the environment. This is an example of predation, and the musk ox were better adapted to the environment. This is an example of competition, and the musk ox were better adapted to the environment. This is an example of competition, and the caribou were better adapted to the environment. Thomson concluded that .......A- electrons must be parts of the atoms of all elementsB- Electrons are not parts of the atoms of all elementsC-None from the previous You are raising money by holding a bake sale at school. You have a budget of $100 to set up the bake sale. You provide volunteers with $40 of materials. Each table that you plan to rent costs a flat rate of $10. How many tables can you rent? AYUDA PORFAVOR!!Completa la oracion con la palabra que corresponda.Los derrames de petroleo, como el que produjo el Prestige o el Deep Water Horizon, pueden producir daos irreversibles en el _______. Dawn, a sole proprietor, was engaged in a service business and reported her income on a cash basis. In 2018, she incorporated her business by transferring the assets of the business to a new corporation in return for all the stock in the corporation plus the corporations assumption of the liabilities of her proprietorship. All the receivables and the unpaid trade payables were transferred to the new corporation. The assets of the proprietorship had total basis of $125,000 and total fair market value of $300,000. The trade accounts payable assumed by the corporation totaled $35,000, and were for services rendered by third parties directly to customers of the business under Dawns supervision. The corporation also assumed a note payable to the bank, in the amount of $95,000. The note was issued for a loan used to purchase computers and other business equipment used in the business and transferred to the corporation.a. Dawn has a taxable gain on the transfer of $5,000.b. Dawn has a basis of $20,000 in the stock she receives.c. Dawn has a basis of $10,000 in the stock she receives.d. Dawn has a basis of $30,000 in the stock she receives.e. Dawn has a basis of $235,000 in the stock she receives. 3/85/2................. *PLEASE ANSWER!!!*Which is a characteristic example of folk art?a.) a quilt embroidered with patterns and lettersb.) All of the above are examples of folk art.c.) a decorative weather vane Find the area of the trapezoid Need help on this *URGENT* After completing a fitness evaluation, what steps should you take to improve your performance? Which of the following values is the solution to the equation-16 + x = -30 ?-2-14-46-480 -[52-[36-58(24x82) x36] +(-42)]= In order to conduct an experiment five subjects are randomly selected from a group of 48 subjects how many different groups of five subjects are possible