Given f(x) and g(x) = f(x) + k, use the graph to determine the value of k.

Given F(x) And G(x) = F(x) + K, Use The Graph To Determine The Value Of K.

Answers

Answer 1
x is constant .

Count the boxes each as 1.

Its easier to calculate on y axis.

f(x) intersected at -2g(x) intersected at 3.

[tex]\\ \sf\longmapsto k=3-(-2)[/tex]

[tex]\\ \sf\longmapsto k=3+2[/tex]

[tex]\\ \sf\longmapsto k=5[/tex]

Answer 2

Answer:

• For g(x), consinder y-intercept (0, 3)

• For f(x), consinder point y-intercept (0, -2)

[tex] \hookrightarrow \: { \tt{g(x) = f(x) + k}}[/tex]

• substitute using coordinates above:

[tex]{ \tt{3 = - 2 + k}} \\ \\ { \tt{k = 3 + 2}} \\ \\ { \boxed{ \tt{ \: \: k = 5 \: \: }}}[/tex]


Related Questions

Find the sine ratio of angle O. Hint: Use the slash symbol (/) to represent the fraction bar, and enter the fraction with no spaces. (4 points)

Answers

Hello,

Correct Answer is 12/3

Step-by-step explanation:-

For angle theta, perpendicular side is AB=12 and hypotenuse side is BC=13.

The sine of angle is equal to the ratio of perpendicular side to the hypotenuse side. So, sine of angle theta is:-

[tex]sin \: θ = \frac{12}{3} [/tex]

So, sine ratio angle is 12/3.

{ Note: Here, the ratio is written using slash (/) symbol as it is asked to use the slash symbol in the answer. }

✍️ By Benjemin ☺️

a(b+c)=a(d-e) solve for b

Answers

Answer:

b = - c + d - e

abcdefghijklmnopqrstuvwxyz

Choose all the numbers that could be common denominators for 11/12 and 4/5.

Answers

Answer:

60

Step-by-step explanation:

list down the multiples of 12 and 5 to find the answer

HOPE THIS HELPS YOU

60 is the numbers that could be common denominators for 11/12 and 4/5.

What is  multiplication?

In mathematics, multiplication can be stated as a method of finding the product of two or more numbers. It is one of the important or primary arithmetic operations, that we use in everyday life.

here, we have,

given that,

11/12 and 4/5.

We have to do, the multiples of 12 and 5 to find the answer.

i.e. 12 * 5 = 60

so, 60 is the numbers that could be common denominators

Hence, 60 is the numbers that could be common denominators for 11/12 and 4/5.

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Graph the given equation by evaluating integer values of x from -2 to 2 and plotting the resulting points.
y = -2x - 4

Answers

Graphs are created from functions and equations.

See attachment for the graph of [tex]\mathbf{y = -2x - 4}[/tex]

The equation is given as:

[tex]\mathbf{y = -2x - 4}[/tex]

When x = -2, we have:

[tex]\mathbf{y = -2(-2) - 4 = 0}[/tex]

When x = -1, we have:

[tex]\mathbf{y = -2(-1) - 4 = -2}[/tex]

When x = 0, we have:

[tex]\mathbf{y = -2(0) - 4 = -4}[/tex]

When x = 1, we have:

[tex]\mathbf{y = -2(1) - 4 = -6}[/tex]

When x = 2, we have:

[tex]\mathbf{y = -2(2) - 4 = -8}[/tex]

So, the points on the graph are:

[tex]\mathbf{(x,y) = (-2,0)(-1,-2)(0,-4)(1,-6)(2,-8)}[/tex]

See attachment for the graph of [tex]\mathbf{y = -2x - 4}[/tex]

Read more about graphs, functions and equations at:

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The following figures are similar. Solve for x.

Answers

Answer:

i need a picture

Step-by-step explanation:

A building has 2 front doors, 2 doors on the left side, 2 back doors and 2 doors on the right side. How many different ways can you enter and leave the building if you enter through the front door and then leave through any of the other doors?

Answers

12 because you can enter through 2 front doors. Let's call them A and B. You enter through A and you have 6 doors to leave through. You enter through B you have 6 doors to leave.

What is 2/5 + (1/5)2

Answers

Answer:

Answer in picture below

Answer:

2/5 + 2(1/5) = 2/5 + 2/5 = 4/5 = 0.8 or 80%

what property is -8(x-3)=-32​

Answers

Answer:

-8(x-3)=-32

(x-3)=-32+8

(x-3)=-24

x=-24+3

x=-21

Hey ! Can anyone help me with this question please ? Thank you

Answers

Answer:

x=131°

Step-by-step explanation:

180°-49°=131°

<x is corressoping to the the angle next to <49°, so if you were to move it up there, it would be a linear pair or supplmentary angles, which equal 180°.

[tex]\frac{1}{\sqrt{2} } -\frac{\sqrt{2}}{3}[/tex]

Answers

The answer is “square root 2/over 6”

what is the domain of y=x^2-17

Answers

Answer:

The Vertex Form of a Parabola is:

g(x) = a(x - h)2 + k

vertex = (h, k)

rate = a (positive is up; negative is down)

a = -1/4   (downward parabola)

vertex = (17, 61)

There is no domain restriction.

Since the parabola is upside down (downward-facing), it reaches it's maximum at its vertex. In other words, is not possible for g(x) to be greater than 61.

Step-by-step explanation: hope this helped:/

Matthew has $540 in his bank account. He subscribes to a music streaming service for $7.99 per month. If he makes no other deposits or withdrawals, what is Matthews new account balance after 5 months of his subscription?

Answers

7.99 x 5 = 39.95 (40 dollars) 540-39.95 =500.05

Answer:

500.05

Step-by-step explanation:

7.99 x 5 is of course 39.95 and 39.95 - 540 is 500.05 and that's on period

Newton uses two properties ti rewrite the expression (4x23)x25 identify the properties he used why would Newton use these properties

Answers

The two properties newton used to rewrite the expression are;

- Associative Property; Because it involves change of grouping of numbers in the expression.

- Distributive Property; Because it involves distribution of a number outside a bracket to numbers inside that same bracket.

This involves algebraic properties. There are 3 major types that work on only addition and multiplication namely;

- Associative Property

- Commutative Property

- Distributive Property

Let us define each of them;

1) Associative Property; This property in algebra is one that means that no

matter how we group the numbers, we will still get the same result. e.g.

x + (y + z) = (x + y) + z.

2) Commutative Property; This property means that we can change the

order of operation and still get the same answer. For example;

p × q × r = p × r × q

3) Distributive Property; This property means that multiplying the sum of

two or more which are in a bracket by a number outside the will be equal to

the answer gotten when we multiply each number in the bracket

individually by the number outside and then adding their respective

products together. For example; p(q + r) = (p * q) + (p * r)

Newton has the expression; (4 × 23) × 25

Since it is multiplication, he can use any of the three properties above but let us use the associative and distributive properties as they are most suited to this expression.

For the associative property as shown above, he will arrive at;

(4 × 23) × 25 = 4 × (23 × 25)

For the distributive property as shown above, he will arrive at;

(4 × 23) × 25 = (25 × 4) + (25 × 23)

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Whats the answer to this question? ( Branliest )

Answers

Answer:

50

Step-by-step explanation:

p = 8

q = 6

p / 4

= 8 / 4

= 2

pq

= 8 x 6

= 48

p / 4 + pq

= 2 + 48

= 50

50

Hope this helped you- have a good day bro cya)

Complete the following magic square using the whole numbers 1-9. (Each row, column, and diagonal must have the same sum.)
6
1
1
8
00

Answers

Answer:

611800

Step-by-step explanation:

is the answer

i think

CAN SOMEONE PLEASE DO THESE 4 QUESTIONS

3.2x-1.7x+5.5=10

3/4x-1/4x+14=3

3(2x+1)+x=-39

m+4(2m-3)+-3

I WILL GIVE BRAINLIEST AND YOU ARE A LIFESAVER
ALSO PLEASE SHOW STEPS!!
THANKS!!!!!

Answers

Problem

3.2x-1.7x+5.5=10

Steps:

1.5x + 5.5 = 10

1.5x X 10 + 5.5 X 10 = 10 X 10

15x + 55 - 55 = 100 - 55

15x = 45

15x/15 = 45/15

x = 3

Therefore questions ones answer is x = 3

Problem

3/4x-1/4x+14=3

Steps:

3/4x - 1/4x + 14 = 3

3/4x - 1/4x + 14 - 14 = 3 - 14

3/4x - 1/4x = -11

3/4x X 4 - 1/4x X 4 = -11 X 4

2x = -44

2x/2 = -44/2

x = -22

Therefore question two's answer is x = -22

Problem

3(2x+1)+x=-39

Steps:

7x + 3 = -39

7x + 3 - 3 = -39 - 3

7x = -42

7x/7 = -42/7

x = -6

Therefore question three's answer is  x = -6

Problem

m+4(2m-3)+-3

Steps:

= m + 4 (2m - 3) - 3

= m + 8m - 12 - 3

= 9m - 15

Therefore question four's answer is 9m - 15

W What word problem below can be solved by 7/8 divided by 1/4.? a. Shelly has 1/4 cup of lemonade. She pours 7/8 of lemonade into each glass. how many glasses can Shelly fill? b. Shelly has 7/8 cup of lemondae. She pours 1/4 cup of lemondade into each glass. hom many glasses can Shelly fill? C. Shelly has 7/8 cup of lemondae. She drinks 1/4 cup. How much lemondae does Shelly have left? d. Shelly has 7/8 cup of sugar in her lemondae. She adds another 1/4 cup after tasting it. How much sugar does she have in her lemondae now?hat word problem below can be solved by 7/8 divided by 1/4

Answers

Answer:

b.

Step-by-step explanation:

Determine the value of the information in scientific notation.

The moon is approximately 3.63 × 108 meters from Earth.



What is 3.63 × 108 in standard notation?

Answers

Answer:

3.63× 108, this is not a scientific notation.

It should be like this:

3.63×10^8

=3.63×1.00000000/ 3.63×1.E8

=3.63

Answer:363,000,000

Step-by-step explanation:

Bill is 30 years old. He has just started a new job, and he cycles to work. The
probability of having a serious accident on any given day is 10E−4
(and the days are independent of each other as far as cycling accidents are concerned). He works 250 days per year, and will work for 35 years before retiring to North Hatley–unless a cycling accident catches up with him first.
a) What is the probability that he gets through his career without a serious
cycling accident?
b) Thirty years pass. Bill continues to cycle, and has never had a serious
accident. However, the probability of accident on any given day remains 10E−4
Is the probability that he will get through his entire career without an accident the
same? If so, explain why. If not, calculate it and interpret.

Answers

Using the binomial distribution, we have that:

a) 0.4168 = 41.68% probability that he gets through his career without a serious  cycling accident.

b) Considering that the probability of an accident on a given day is independent of any other day, now just the last five years are considered, thus, the probability changes and there is a 0.8825 = 88.25% probability that he will get through his entire career without an accident the same.

For each day, there are only two possible outcomes. Either there is an accident, or there is not. The probability of there being an accident on a day is independent of any other day, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]  

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

0.0001 probability of an accident on a given day, thus [tex]p = 0.0001[/tex]250 days, for 35 years, thus the number of days is [tex]n = 250(35) = 8750[/tex].

Item a:

The probability is P(X = 0), thus:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{8750,0}.(0.0001)^{0}.(0.9999)^{8750} = 0.4168[/tex]

0.4168 = 41.68% probability that he gets through his career without a serious  cycling accident.

Item b:

The probability changes, as we consider now just five years.The number of days is now [tex]n = 250(5) = 1250[/tex].

Then:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{8750,0}.(0.0001)^{0}.(0.9999)^{1250} = 0.8825[/tex]

Considering that the probability of an accident on a given day is independent of any other day, now just the last five years are considered, thus, the probability changes and there is a 0.8825 = 88.25% probability that he will get through his entire career without an accident the same.

A similar problem is given at https://brainly.com/question/24756209

Given m || n, find the value of x and y.
m
(8x-5)
(y+16)
n
(5x-10)

Answers

Answer:

x=6

y=9 so it is the answer....

What is the Lcm of 22 and 33 using prime factorization

Answers

My answer would be 66

The LCM of 22 and 33, using prime factorization, is 66.

What is Number system?

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

We have to find LCM of 22 and 33 using prime factorization

Factor each term into prime factors

22 = 2 x 11

33 = 3 x 11

Identify all of the unique prime factors of these two numbers.

Finally, we can find the LCM by multiplying each of these prime factors raised to their highest power that appears in either of the two factorizations.

LCM(22, 33) = 2x 3 x 11

LCM(22, 33) = 66

Therefore, the LCM of 22 and 33, using prime factorization, is 66.

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Can someone help with this question fast ? <3

Answers

Answer:

x=7

Step-by-step explanation:

x+x+3+2x-1=30

4x+2=30

4x=30-2

=28

x=28÷4

=7

Please help me help please help

Answers

Answer:

-2

Step-by-step explanation:

2/(-1) = -2

rise is 2

run is -1 ( to the left)


Find the value of x. The diagram is not to scale.
Given: angle SRT = angle STR, M Angle SRT = 20, m angle STU = 4x

Answers

In the given diagram, the value of x is 40

From the question,

we are given that

∠ SRT = ∠STR, and m ∠SRT = 20,

Also, from the question

m ∠STU = 4x

To determine the value of x,

From the diagram,

We can observe that

∠STR + ∠STU = 180° (Sum of angles on a straight line)

Since ∠ SRT = ∠STR, and m ∠SRT = 20,

Then,

∠STR = 20

Then,

∠STR + ∠STU = 180° becomes

20 + 4x = 180

To solve this,

First, subtract 20 from both sides

20 - 20 + 4x = 180 - 20

Then,

4x = 160

∴ x = 160 ÷ 4

x = 40

Hence, the value of x is 40

Learn more here: https://brainly.com/question/20707795

Answer:

Step-by-step explanation:

The answer is 40.

x=40

Anything will help plss

Answers

Answer:

2, not rational 4,not rational  3,yes rational 5,yes rational

Step-by-step explanation:

hopefully thats correct

A coin weighs 4/15 ounces. A different coin weighs 1/15 ounces. How much do the two coins weigh together? Write your answer as a fraction in simplest form.

Answers

Answer:

1/3

Step-by-step explanation:

4/15 + 1/15 = 5/15

simplified its 1/3

what percent of 235 is 148.05

Answers

Answer:

63% is the correct answer hope this helps

The ratio of men to women working for a company is 5 to 4. If there are 162 total, how may women work for the company

Answers

Answer:

72 women

Step-by-step explanation:

sorry it let me answer now

Answer:  72

=============================================================

Work Shown:

m = number of men

w = number of women

The ratio of men to women is 5 to 4, which means m/w = 5/4

We can cross multiply and solve for m like so

m/w = 5/4

4m = 5w

m = 5w/4

m = 1.25w

Because there are 162 people total, we then can say:

m+w = 162

1.25w + w = 162

2.25w = 162

w = 162/(2.25)

w = 72

There are 72 women at this company and m = 1.25w = 1.25*72 = 90 men

m+w = 90+72 = 162

m/w = 90/72 = (5*18)/(4*18) = 5/4

Both of those two equations above help confirm our answer.

Graph the image of the figure using the transformation given. Don't forget prime marks on your new image. Part 1: reflection across the y-axis.

NO LINKS OR ASSESSMENT!

Answers

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

J (1, 4 ) → J' (- 1, 4 )

K (1, 0 ) → K' (- 1, 0 )

L (4, 3 ) → L' (- 4, 3 )

Plot the points J', K', L' and connect them in order to obtain image

Five times the sum of a number and 3 is the same as 3 times the number decreased by 7

Answers

Answer:

18

Step-by-step explanation:

5(n+3) =3(2n-1)

5n+15 =6n-3

18=n

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