Consider the function RX) = 3x + 1 and the graph of the function g(x) shown below.
у
4
6
4
2
X
-6 -4
- 2
12
4
6
-2
4
6
The graph g(x) is the graph of f(x) translated
✓ units
✓, and g(x) =

Consider The Function RX) = 3x + 1 And The Graph Of The Function G(x) Shown Below.4642X-6 -4- 21246-246The

Answers

Answer 1

Step-by-step explanation:

f(x) goes through the point (0, 1).

g(x) goes through (2, 1) for the same y value.

that means g(x) is f(x) translated 2 units to the right.

but we could also look at the same x value (0).

then g(x) goes through (0, -5).

and that means g(x) is f(x) translated 6 units down.

since it is a line function, shifting it left/right or up/down makes no difference to the shape or position of the new curve itself.

as it looks like you don't have 6 in the drop-down menu, then 2 units (to the right) is the desired correct result.

that means g(x) = f(x-2) = 3(x-2) + 1 = 3x - 6 + 1 = 3x - 5

and that is what the graph is showing us.


Related Questions

Melanie goes to a shelter to buy a dog. She has settled on two dogs, an Alsatian and a bulldog. To decide between them, she plans to flip a coin. Before she does, she flips the coin 50 times to check for fairness of the model. Her results are shown in the table.

Coin Toss Result Times Result Occurred
heads 24
tails 26
The relative frequency of landing on heads is ____. The relative frequency of landing on tails is
____.

Answers

Using it's concept, it is found that the relative frequency of landing on heads is 0.48 and of landing on tails is 0.52.

What is a relative frequency?

A relative frequency is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, out of 50 flips, 24 landed on heads and 26 on tails, hence:

Fh = 24/50 = 0.48.

Ft = 26/50 = 0.52.

The relative frequency of landing on heads is 0.48. The relative frequency of landing on tails is 0.52.

More can be learned about relative frequency at https://brainly.com/question/23359601

What is the value of e?
1190
c
a
O A. 22°
OB. 48°
0 C. 61°
O D. 180°

Answers

Answer:

C. 61 degrees

Step-by-step explanation:

a line is 180 degrees

so e and 119 degrees makes a line

so you subtract 180-119= 61 degrees

5/8 5/4 common denominator

Answers

Answer:

The common denominator of 5/8 and 5/4 is 8.

4×2 is 8 and 5/8 already has a denominator of 8

The common denominator of two fractions 5/8 and 5/4 is 8.

What is Number system?

A number system is defined as a system of writing to express numbers.

To find a common denominator for 5/8 and 5/4, we need to find the least common multiple (LCM) of the denominators 8 and 4.

The multiples of 8 are: 8, 16, 24, 32, 40, 48, ...

The multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, ...

We can see that the least common multiple of 8 and 4 is 8, since 8 is the smallest number that appears in both lists.

To convert 5/8 to an equivalent fraction with denominator 8, we can multiply both the numerator and the denominator by 1, which is equivalent to multiplying by 8/8

Hence, the common denominator of two fractions 5/8 and 5/4 is 8.

To learn more on Number system click:

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B. Solve the following. Write your solutions and final answers in your notebook.

1. To relieve her stress from work. Tina would always watch the fishes moves around her 90 cm wide, 70 cm high, and 45 cm long aquarium. If the aquarium is filled halfway through its height; how much volume of water is in it?

2. Elisha has a swimming pool in their house that measures 10 m long, 5 m wide and 1 m high. Approximately, how much will she be paying for the water supply of her swimming pool, if the water costs P27.25 per cubic liter?

3. Myla bought a jar shaped like a rectangular prism having a length of 130 cm, a width of 70 cm, and a height of 110 cm. How much water is needed to fill the jar?

4. A truck with dimensions 9 feet long, 7 feet wide, and 5 feet high is delivering sand for a sand sculpture competition. How many trips must the truck make to deliver 945 cubic feet of sand?

5. Create a problem on volume and prepare a solution to your problem based on the figure below:​

I need best answer please

Answers

The volume of water contained in this aquarium that is filled halfway through its height is equal to 141,750 cm³.

The volume of a right prism.

Mathematically, the volume of a right prism is calculated by using this formula:

Volume = length × width × height

Given the following data:

Length = 45 cm.Width = 90 cm.Height = 70 cm.

Based on the information, the aquarium is filled halfway through its height. Thus, the height of water is given by:

H = 70 × 0.5

H = 35 cm.

Substituting the parameters into the formula, we have;

Volume = 45 × 90 × 35

Volume = 141,750 cm³.

How to calculate the volume?

Mathematically, the volume of Elisha's swimming pool is given by:

Volume = length × width × height

Volume = 10 × 5 × 1

Volume = 50 m³.

Now, we can calculate the cost of water supply:

Cost = 27.25 × 50 × 10³

Cost = P1,362,500.

How to calculate the volume of water.

Mathematically, the volume of a rectangular prism is given by this formula:

Volume = length × width × height

Volume = 130 × 70 × 110

Volume = 1,001,000 cm³.

How to calculate the number of trips.

Firs of all, we would determine the volume of this truck:

Volume = length × width × height

Volume = 9 × 7 × 5

Volume = 315 ft³.

Now, we can calculate the number of trips:

Number of trips = 945/315

Number of trips = 3 trips.

Read more on rectangular prism here: brainly.com/question/3867601

how can I be smart wear I don't need to cheat to get high grades

Answers

try your best

Step-by-step explanation:

Answer:

Study!

Step-by-step explanation:

How do you graph y=3x-2

Answers

Answer:

The graph should look almost exactly like this. I used a virtual graphing chart to assist, since it is capable of showing more than paper alone.

Answer:

Here is your answer.

Step-by-step explanation:

Lisa, Kim and Bridget flew total of 7800 miles on Southwest airlines last year. Lisa flew 1500 miles. Kim flew 2200 miles. How many miles did Bridget fly?

Answers

Answer:

Bridget flew 4100 miles.

Step-by-step explanation:

L + K + B = 7800

1500+2200+B=7800

3700 + B = 7800

Subtract 3700.

B = 4100

Bridget flew 4100 miles.

There are 12 girls and 16 boys . What is the largest number in each group?


Answers

Answer:

Step-by-step explanation:

The largest number of groups they can be split into and have the same number of boys and girls on each team is 6 groups

Given:

Number of girls = 12

Number of boys = 16

Find the highest common factor of 12 and 16

12 = 1, 2, 4

18 = 1, 2,4

The highest common factor of 12 and 16 is 4

Number of girls in each group = 12/4

= 3 girls

Number of boy in each group = 18/4

= 4.5 boys=5

Therefore, the group can be split into 4 groups to have 3 girls and 5 boys in each group

How many 12 hours periods (half days) will pass after 25 hours? Enter only the whole number of period that have passed?

Answers

Answer:

2

Step-by-step explanation:

12 + 12 = 24

Use the graph or table to find the equation that represents the relationship.

Answers

Using the information given in any graph or table, find the slope (m) and y-intercept (b) and substitute their values into y = mx + b, which represents the linear equation.

What is the Equation that Represents a Linear Graph?

If we have a graph or table that represents a linear relationship between x and y, we can use a linear equation to represent the graph or table as, y = mx + b.

The graph or table is missing, however, here's how to find the linear equation that represnts the table or graph.

We would find the following:

Slope (m) = chnage in y/change in x = unit rate.y-intercept (b) = the initial value or the vaue of y when the value of x is 0.

Therefore, using the information given in any graph or table, find the slope (m) and y-intercept (b) and substitute their values into y = mx + b, which represents the linear equation.

Learn more about linear equation on:

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Answer:

Here you go

Step-by-step explanation:

Just use a slope calculator

How to write the slope intercept equation for points of (6,0) and (0,-5)?

Answers

Answer:

[tex]y=\frac{5}{6} x -5[/tex]

Step-by-step explanation:

Hi there!

We are given the points (6,0) and (0, -5), and we want to write the equation of the line containing those points in slope-intercept form

Slope-intercept form can be written as y=mx+b, where m is the slope and b is the y intercept

First, we need to find the slope of the line

The formula for the slope can be written as [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

We have everything we need to find the slope, but let's label the points to avoid confusion

[tex]x_1=6\\y_1=0\\x_2=0\\y_2=-5[/tex]

Now substitute these values into the formula

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

m=[tex]\frac{-5-0}{0-6}[/tex]

Subtract

m=[tex]\frac{-5}{-6}[/tex]

Simplify

m=[tex]\frac{5}{6}[/tex]

The slope of the line is 5/6

Let's plug this value into the formula for the equation of the line in slope-intercept form.

We substitute 5/6 for m in y=mx+b:
y=[tex]\frac{5}{6}x+b[/tex]

Now we need to find b

As stated before, b is the y intercept, which is the value where the line hits the y axis. The value of x at the y intercept is 0.

One of the points we were given is actually the y intercept; that point is (0, -5); notice how the value of x in this point is 0

The value of b is the value of y in this point, which is -5 in this case.

Substitute -5 as b in the formula.

[tex]y=\frac{5}{6} x -5[/tex]

Hope this helps!

See more on this subject here (n.b. the answer uses a different way of solving): https://brainly.com/question/20891204

x is more than 15 by 3. Find x.

Answers

Answer:

18

Step-by-step explanation:

x-15=3

x=15+3

x=18


Please help me just a and d

Answers

C = 2 x pi x r

if r = 5 cm

C = 2 x pi x 5 = 10 x pi

≈ 10 x 3,14 ≈ 31,4 cm

C = 2 x pi x r = pi x d

if d = 2 m

C = pi x 2

≈ 3,14 x 2 ≈ 6,28 m

Hello!

a)

C  = 2πr                     C= 2*π     *5                     31,4cm    

                                   =  2*3,14* 5

d)

r =2/2 => 1m

C=  2πr                   C= 2*π*1                             6,28m

                               =  2 *3,14*1                      

PLEASE HELP PLEASE HELP I WILL BRAINLIEST

Answers

Answer:

65°

Step-by-step explanation:

<JKL=90°

<KJM+<JKL+<JML=360°

77°+90°+128°+<JML=360°

<JML=65°

huong spent $20.83 on a magazine and seven candy bars. If the magazine cost $4.94, then how much was each candy bar?

Answers

Answer:

  $2.27

Step-by-step explanation:

Huong's expense is the sum of the cost of the magazine and the cost of 7 candy bars. If c represents the cost of a candy bar, then Huong's expense was ...

  $4.94 +7c = $20.83

  7c = $15.89 . . . . . . . . subtract 4.94

  c = $2.27 . . . . . . . . divide by 7

Each candy bar was $2.27.

2 pounds of zucchini for 4 servings

Answers

Answer:

One pound of zucchini equals about 4 cups grated zucchini;

Step-by-step explanation:

2 cups of salted and squeezed zucchini; about 1 cup mashed zucchini; and 3 cups chunked zucchini.

i need help
Simplify the expression 63 + 5(4 − 2).

28
36
226
234

Answers

Answer:

226

Step-by-step explanation:

Given:

Simplify 6^3+5(4-2)

Note:

I think you meant 6^3 because if you solve 63+5(4-2):

63+5(4-2)

63+5 * 2

63 + 10

73
Solve:

6^3 + 5(4 - 2 )    

6^3 + 5 x 2

6 x 6 x 6 = 216

226 + 5 x 2

5 x 2 = 10

216 + 10 = 226

~Lenvy~

To the nearest hundredth, what is the value of x? 45 53° O 59.72 O 56.35 35.94 O 27.08​

Answers

Answer:

Step-by-step explanation:

[tex]\frac{x}{45} =sin~53\\x=45 ~sin~53 ~\approx ~35.94[/tex]

the volume of this is cone 923.16 cm what is the radius of this cone

Answers

Hey there!

[tex] \rightarrow \sf{ r = \sqrt{3 \frac{v}{\pi \ h} }} \: \rm{or} \: \sf{v = \frac{1}{3} \pi \: {r}^{2} \times h}[/tex]

[tex] \rightarrow \sf{923.16 = \frac{1}{3} (3.14) {r}^{2} \times h}[/tex]

[tex] \rightarrow \sf{\: 1.046667 {hr}^{2} =923.16}[/tex]

[tex] \rightarrow \sf{ \frac{1.046667 {hr}^{2} }{1.046667} = \frac{923.16}{1.046667} }[/tex]

[tex] \rightarrow \: \sf{ {r}^{2} = \frac{923.16}{1.046667h}}[/tex]

[tex] \rightarrow \: \sf{ r = \sqrt{ \frac{923.16}{1.046667h}}}[/tex]

What is the value of the expression (–5) -3?

1. Apply the negative exponents rule:
1
(−5)3

2. Expand the power:
1
(−5)(−5)(−5)

3. Simplify:
1
x

What is the value of x?

x =

Answers

Answer:

15 :)

Step-by-step explanation:

brainliest please

Answer:

The answer is -125

Proof:

Find the least common multiple of x2 – 2x – 15 and x2 + 2x – 3.

(x + 3)(x – 1)(x + 5)

(x – 5)(x + 3)(x – 1)

(x – 5)(x + 1)(x + 3)

(x + 5)(x + 3)(x + 1)

Answers

Step-by-step explanation:

please mark me as brainlest

Felix is dividing 322 by 12. He says the answer is going to be smaller than 322.
Do you agree with him and why?

Answers

Answer:  Because dividing means to split into smaller groups

Find LP in parallelogram LMNQ.

Answers

Answer: im pretty sure its 29 degrees .

Step-by-step explanation: your welcome <3

calvin and susie baked some cookies in the ratio of 3 : 7. calvin baked 60 fewer cookies than susie. how many cookies did they bake altogether?

Answers

Answer:

Step-by-step explanation:

Ratio of cakes baked by Calvin and Susie = 3 : 7

Cakes baked by Calvin = 3x

Cakes baked by Susie = 7x

Cakes baked by Calvin = Cakes baked by Susie - 60

3x = 7x - 60

7x - 60 = 3x

7x        = 3x  + 60

7x - 3x = 60

      4x  = 60

        x = 60/4

x = 15

Cakes baked by Calvin = 3*15 = 45

Cakes baked by Susie = 7 *15 = 105

Total cakes baked = 45 + 105 = 150

They both baked 150 cakes altogether.

J=(7x+13) K=(83-2x) and the sum of the measures of the angles is 141. What is the measure of each angle

Answers

Answer:

j=76 and k=65

Step-by-step explanation:

[tex]j + k = 141 \\ 7x + 13 + 83 + - 2x = 141 \\ 96 + 5x = 141 \\ 5x = 141 - 96 \\ 5x = 45 \\ x = \frac{45}{5} \\ x = 9 \\ j = (7 \times 9 + 13) \\ j =76 \\ k = 83 - 2(9) \\ = 83 - 18 \\ = 65[/tex]

Smokers: Out of 780 smokers, 376 have been divorced.
Non-smokers: Out of 2855 non-smokers, 902 have been divorced.

a) Find the 95% confidence interval for the proportion of smokers that have been divorced.

b) Find the 95% confidence interval for the proportion of non-smokers that have been divorced.

c) What do the results above indicate about smoking and divorce?

Answers

For statictics of Out of 780 smokers, 376 have been divorced, Non-smokers: Out of 2855 non-smokers, 902 have been divorced, the 95% confidence interval for smokers and non-smokers is mathematically given as

95% confidence interval = (0.5352, 0.4462)95% confidence interval = (0.3424, 0.2894)53% increased risk of divorce for smokers.

What is the 95% confidence interval for smokers and non-smokers?

Generally, the equation for the Confidence interval is mathematically given as

p ± Z/2[p(1-p)]/n

Where

Z1/2=1-(0.05/2)

Z1/2=0.975

Read z table we have

Z score= 1.96

Hence

0.4907 ± 1.96 (0.4907)(1-0.4907)/485

0.4907±0.0445

Therefore

95% confidence interval = (0.5352, 0.4462)

b)

Z1/2 = 1- (0.05/2)

Z1/2 = 0.975

Z score= 1.96

0.3159 ± 1.96 (0.3159)(1-0.3159)/1184

0.3159±0.0265

Thereofore

95% confidence interval = (0.3424, 0.2894)

c)

In conclusion, The 95% confidence interval helps us read that 53% increased risk of divorce for smokers.

Read more about Confidence interval

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evaluate the expression 2b^3+5 (BTW I did the first part it's 3 but I need the second part)​

Answers

To find the exact answer based on the last step, "[tex]2(3)^3+5[/tex]", you must use PEMDAS (attached image below)

 

          [tex]2(3)^3+5=2*27+5=54+5=59[/tex]

Thus the answer is 59.

Hope that helps!

         

Answer:

2b³ + 5 = 59

Step-by-step explanation:

Given information,

→ 2b³ + 5

→ b = 3

Let's solve the expression,

→ 2b³ + 5

→ 2(3)³ + 5

→ 2(27) + 5

→ 54 + 5 = 59

Hence, the answer is 59.

Solve by completing the square

Answers

Answer:

X¹=-11; X²=3

x ^ 2 + 8x - 33 = o

x ^ 2 + 11x - 3x - 33 = 0

x(x + 11) - 3(x + 11) = 0

(x + 11)(x - 3) = 0

Ben made a down payment of $4,000

Answers

Answer:

Step-by-step explanation:

Do you know the rest of the question, I can hopefully answer it!

rest of the question??!

If the total profit per month is Rs 200,000 and the revenue per month can be obtained twice the cost per month minus 50,000, find the revenue and cost per month

Answers

Step-by-step explanation:

200,000 X 50,000 = 100000000

If the total profit per month is Rs 200,000 and the revenue per month can be obtained twice the cost per month minus 50,000 then  the revenue per month is 2083 and the cost per month is 25000

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given,

If the total profit per month is Rs 200,000

Revenue per month can be obtained twice the cost per month minus 50,000

2x-50000

2x=50000

x=25000

So cost per month is 25000

The revenue per month is 25000/12

2083

Hence, the revenue per month is 2083 and the cost per month is 25000

To learn more on Equation:

https://brainly.com/question/10413253

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