The table below represents a linear function f(x), and the equation represents a function g(x): X) -1, 0, 1 F(x) -5, -1, 3 G(x)=4x+3

Part A. Write a sentence to compare the slope of the two functions and shows the steps you used to determine the slope of f(x) and g(x)

Part B which functions has greater y-intercept. Justify

Answers

Answer 1

Answer:

(a) g(x) has a greater slope

(b) g(x) has a greater y intercept

Step-by-step explanation:

Given

[tex]x \to -1,0,1[/tex]

[tex]f(x) \to -5,-1,3[/tex]

[tex]g(x) = 4x + 3[/tex]

Solving (a): Compare the slopes

Slope (m) is calculated as:

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

So, for f(x), we have:

[tex]m =\frac{-1- 0}{-5- -1}[/tex]

[tex]m =\frac{-1}{-4}[/tex]

[tex]m =\frac{1}{4}[/tex]

For g(x), we have:

Assume [tex]g(x) = mx + c[/tex] then the slope is m

Compare the above to [tex]g(x) = 4x + 3[/tex]

Then the slope of g(x) is 4

g(x) has a greater slope

Solving (b): Function with greater y intercept

Here we set [tex]x= 0[/tex]

From the table of f(x)

[tex]f(x) = -1[/tex] when [tex]x = 0[/tex]

From [tex]g(x) = 4x + 3[/tex]

[tex]g(0) = 4 * 0 + 3[/tex]

[tex]g(0) = 3[/tex]

Hence:

g(x) has a greater y intercept


Related Questions

Jack plants a vegetable garden. The garden is the shape of a rectangle. He wants to put a fencing around the entire garden

Answers

Step-by-step explanation:

you need to find the lenght and breadth of the rectangle

What is the common difference between successive terms in the sequence 0.36, 0.26,0.16,0.06,-0.04,-0.14

Answers

Answer:

- 0.1

Step-by-step explanation:

Someone tell me where everyone is going right please !!

Answers

Answer:

A 2

B 1

C 4

D 3

Step-by-step explanation:

( ) means not including (also used for infinity)

[ ] means including

The answer choices are in interval form, showing all the possible answer choices between two numbers and if the answer choice includes or excludes a number using the () []

Explanation for A:

x < 7.8 means x won't include 7.8 since the symbol is "less than" and not "less than or equal to".

x can be anything, it just has to be less than 7.8, so the answer is:

2 (-infinity, 7.8)

Explanation for B:

x <= 7.8 means x will include 7.8 since the symbol means "less than or equal to".

x can be anything, it just has to be less than or equal to 7.8, so the answer is:

1 (-infinity, 7.8]

Explanation for C:

x >= 7.8 means x will include 7.8 since the symbol means "greater than or equal to".

x can be anything, it just has to be greater than or equal to 7.8, so the answer is:

4 [7.8, infinity)

Explanation for D:

x > 7.8 means x won't include 7.8 since the symbol means "greater than" and not "greater than or equal to".

x can be anything, it just has to be greater than 7.8, so the answer is:

3 (7.8, infinity)

Hope it helps (●'◡'●)

Answer:

A:2 B:1 C:4 D:3

Step-by-step explanation:

Finish solving the system of equations –9.5x – 2.5y = –4.3 and 7x + 2.5y = 0.8 using the linear combination method.

1. Determine which variable will be eliminated: y will be eliminated because –2.5y and 2.5y are opposite terms.

2. Add the equations together to create a one-variable linear equation: –2.5x = –3.5

3. Solve to determine the unknown variable in the equation: x = 1.4

4. Substitute the value of the variable into either original equation to solve for the other variable.

The solution to the system is (

Answers

9514 1404 393

Answer:

  (x, y) = (1.4, -3.6)

Step-by-step explanation:

4. We choose to substitute into the second equation because it has positive coefficients.

  7(1.4) +2.5y = 0.8

  9.8 +2.5y = 0.8 . . . . simplify

  2.5y = -9.0 . . . . . . . subtract 9.8

  y = -3.6 . . . . . . . . . . divide by 2.5

The solution to the system is (x, y) = (1.4, -3.6)

Input value for the function machine that gives an output value of 3.

Answers

Answer:

x = –1

Step-by-step explanation:

From the question given above, the following data were obtained:

y = √(–2x + 7)

y = 3

x =?

The value of x can be obtained as follow:

y = √(–2x + 7)

3 = √(–2x + 7)

Take the square of both side

3² = –2x + 7

9 = –2x + 7

Collect like terms

9 – 7 = –2x

2 = –2x

Divide both side by –2

x = 2 / –2

x = –1

find the distance between the points (-3,-2) and (1,-5)

Answers

the slope or distance is 4/-3

what is the x-coordinate of the red point

Answers

Answer:

The answer:

The choose (C) –3

For a project in his Geometry class, Mamadou uses a mirror on the ground to measure the height of his school's football goalpost. He walks a distance of 13.75 meters from his school, then places a mirror on flat on the ground, marked with an X at the center. He then steps 2.6 meters to the other side of the mirror, until he can see the top of the goalpost clearly marked in the X. His partner measures the distance from his eyes to the ground to be 1.75 meters . How tall is the goalpost? Round your answer to the nearest hundredth of a meter .

Answers

Answer:

Height of the goalpost is 9.25 m.

Step-by-step explanation:

As per the rule of reflection in physics,

Angle of incidence = Angle of reflection

As we can see in the picture attached, both the angles (θ) are equal.

m∠ACB = m∠ECD = 90° - θ

m∠ABC = m∠ADC = 90°

Therefore, both the triangles ΔABC and ΔEDC will be similar.

And by the property of similar triangles, their corresponding sides will be proportional.

[tex]\frac{AB}{ED}= \frac{CB}{CD}[/tex]

[tex]\frac{1.75}{ED}=\frac{2.6}{13.75}[/tex]

ED = [tex]\frac{1.75\times 13.75}{2.6}[/tex]

ED = 9.25 m

Height of the goalpost is 9.25 m.

Express (5a to the power 2) x (2b to the power 2) x (c) as a power of a product.

Answers

Answer:

50 a^2 b c^2

Step-by-step explanation:

I'm quite confused about your question, but I try my best. I have attached the explanation above. Hopefully this will help

pls answer if it is correct i will give brainlist​

Answers

Answer:

1/ x = 22.5°

2/ x = 60°

Step-by-step explanation:

1/ We have: 3x + 2x + 3x = 180°

=> 8x = 180° => x = 22.5°

2/ We have: x + x + x = 3x = 180°

=> x = 60°

Answer:

1) x = 22.5

2) x = 60

Step-by-step explanation:

→ Add the angles together

1) 3x + 2x + 3x = 8x

2) x + x + x = 3x

→ Make it equal to 180

1) 8x = 180

2) 3x = 180

→ Divide both sides by 8 and 3

1) x = 22.5

2) x = 60

If you flip a penny, toss a 1–6 number cube, and flip a quarter, how many outcomes are possible?

Answers

Answer:

6x 2 = 12

Step-by-step explanation:

Answer:

24

EXPLANATION:

there's 4 different outcomes for the Penny and Quarter combos

- P Heads and Q Heads

- P Tails and Q Heads

- P Heads and Q Tails

- P Tails and Q Tails

Each of those outcomes will have one of six numbers so I just figured

6 outcomes for number cube × 4 outcomes for P and Q (penny and quarter)

6 × 4 = 24

:)

Help me with this question i forgot how to do these

Answers

44. 2•6= 12 and u gotta multiply that by two bc it’s 6 units on two sides of the square
same with the other side 5•2=10 and multiply that by 2
24+20= 44

Answer:

44m

Step-by-step explanation:

add all 4 sides of the rectangle then multiply by 2 since each square is 2m.

On a coordinate plane, rhombus W X Y Z is shown. Point W is at (7, 2), point X is at (5, negative 1), point Y is at (3, 2), and point Z is at (5, 5).
What is the perimeter of rhombus WXYZ?

StartRoot 13 EndRoot units
12 units
StartRoot 13 EndRoot units
20 units

Answers

Answer:

[tex]P = 4\sqrt{13}[/tex]

Step-by-step explanation:

Given

[tex]W = (7, 2)[/tex]

[tex]X = (5, -1)[/tex]

[tex]Y = (3, 2)[/tex]

[tex]Z =(5, 5)[/tex]

Required

The perimeter

To do this, we first calculate the side lengths using distance formula

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex]

So, we have:

[tex]WX = \sqrt{(5- 7)^2 + (-1 - 2)^2[/tex]

[tex]WX = \sqrt{13}[/tex]

[tex]XY = \sqrt{(3-5)^2 + (2--1)^2}[/tex]

[tex]XY = \sqrt{13}[/tex]

[tex]YZ = \sqrt{(5-3)^2 + (5-2)^2}[/tex]

[tex]YZ = \sqrt{13}[/tex]

[tex]ZW = \sqrt{(7 - 5)^2 + (2 - 5)^2}[/tex]

[tex]ZW = \sqrt{13}[/tex]

The perimeter is:

[tex]P = WX + XY + YZ + ZW[/tex]

[tex]P = \sqrt{13}+\sqrt{13}+\sqrt{13}+\sqrt{13}[/tex]

[tex]P = 4\sqrt{13}[/tex]

Answer:

C on edge 2021

Step-by-step explanation:

I took the cumulative exam

What function is graphed below?

Answers

Answer:

[tex]y\ =\ \ \tan\theta\ +2[/tex]

Step-by-step explanation:

A boat is heading towards a lighthouse, where Riley is watching from a vertical distance of 120 feet above the water. Riley measures an angle of depression to the boat at point A to be 18 degrees . At some later time , Riley takes another measurement and finds the angle of depression to the boat (now at point B) to be 65 degrees . Find the distance from point A to point B. Round your answer to the nearest foot if necessary .

Answers

Answer:

313 ft

Step-by-step explanation:

It's hard to explain because its geometry, but there will be a right triangle with angle of 72 and another with angle of 25. do tan72 * 120 - tan25 * 120

The distance from point A to point B is given by the trigonometric relations and d = 313 feet

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the first triangle be represented as ΔAOD

Let the second triangle be represented as ΔBOD

where the distance from point A to point B = d

And , Riley is watching from a vertical distance of 120 feet above the water

Riley measures an angle of depression to the boat at point A to be 18 degrees

Riley takes another measurement and finds the angle of depression to the boat (now at point B) to be 65 degrees

So , ∠BOD = 25° and ∠AOD = 72°

From the trigonometric relations ,

tan θ = opposite / adjacent

tan AOD = AD / OD = tan 72°

tan 72° = 3.087

tan BOD = tan 25° = 0.47

Now , the measure of AD = 120 x 3.087 = 369.6 feet

And , the measure of BD = 120 x 0.74 = 56.4 feet

Therefore , the distance from A to B = 369.6 feet - 56.4 feet

d = 313 feet

Hence , the distance is 313 feet

To learn more about trigonometric relations click :

https://brainly.com/question/14746686

#SPJ2

___ +(-9)=-12 need help please

Answers

Answer:

_-3__ + (-9) = -12

Step-by-step explanation:

___ + (-9) = -12

-9 is being added to the blank. You want the blank alone (isolated) on the left side. The opposite operation to adding a -9 is to add a positive 9.

You must do the same operation to both sides of an equation.

Add 9 to both sides.

___ + (-9) + 9 = -12 + 9

___ + 0 = -3

___ = -3

Answer: -3

Answer:

-3

Step-by-step explanation:

Hi there!

___ + (-9) = -12

Adding a negative number is the same as subtracting

___ - 9 = -12

To isolate the blank, we can add 9 to both sides of the equal sign so there won't be a -9 on the left side

___ - 9 + 9 = -12 + 9

___ = -12 + 9

___ = -3

Therefore, the number is -3.

I hope this helps!

Prove: AAB
Step
Statement
Reason
Given
1
ABCD is a parallelogram
ABCD
Select a Reason!!
2
A
B
N

Answers

Hmmm… I wish I could help you with this one, sorry

Perimeter of a Garden

Answers

Answer:

Step 1: W = 7 - L

Step 2: Widths = 4, 3, 2, 1

Step-by-step explanation:

step1:

14 = 2L + 2W

14 - 2L = 2W

W = 7 - L

step2:

W = 7 - L

W = 7 - 3 = 4

W = 7 - 4 = 3

W = 7 - 5 = 2

W = 7 - 6 = 1

The triangles are similar.

What is the value of x?

Enter your answer in the box.

Answers

Answer:

x = 23

Step-by-step explanation:

x = 39 divided by 3

x = 13

but it’s saying that x - 10 meaning 13 - 10 which can’t be the answer so we must add 10 to 13 which equals 23 and that’s our final answer.

Final Answer: 23

Can someone help me with this math homework please!

Answers

OPTION C

The graph is continuous because there can be fractional values for time

Answer:

(C) The graph is continuous because there can be fractional values for time.

Step-by-step explanation:

There can't be a negative altitude because when it reaches the ground, it has a altitude of zero and can't go further down. However, it's not B because a discrete graph would also mean there would be set times (represented by points on the graph) of the hot air balloon moving. This isn't true, because the hot air ballon moves as time continues, even fractional time values.

So it's C, "The graph is continuous because there can be fractinoal values for time".

Hope it helps (●'◡'●)

In 2004 there were 7,000000 people living alone in great Britain this is four time as many as in 1961, Calculate how many people lived alone in 1961. Express your answer in standard form

Answers

Answer:

1.75 × 10⁶

Step-by-step explanation:

7,000,000 ÷ 4 = 1750000

Which is 1.75 × 10⁶ in standard form

What is the center of the circle: .22 + y2 = 4

Answers

I think it’s 5 I’m not really sure

Help Help Help Help Help Help Help Help Help Prove the divisibility of the following numbers: 10^9+10^8+10^7 by 555

Answers

Pull out a common factor of 10⁷:

10⁹ + 10⁸ + 10⁷ = 10⁷ (10² + 10¹ + 10⁰)

… = 10⁷ × 111

Factorize 10 as 2 × 5, then distribute the power of 7:

… = 2⁷ × 5⁷ × 111

Pull out a factor of 5 and multiply it with 111:

… = 2⁷ × 5⁶ × 5 × 111

… = 2⁷ × 5⁶ × 555

So 555 divides 10⁹ + 10⁸ + 10⁷.

Draw the following regular polygons inscribed in a circle:

square

pentagon

hexagon

octagon

decagon

For each polygon, include the following information in the paragraph box below:

What was the central angle you used to locate the vertices? Show your calculation.

What is the measure of each interior angle of the polygon? Show your calculation.

Answer the questions below.

What is the relationship between the central angle and the interior angle?


As the number of sides increases, how do the angles change?

Answers

Answer:

Step-by-step explanation:

Firstly we draw the circle marking its center point.

Then we choose an arbitrary point anywhere on the circumference of the circle.

Then we draw a line connecting the point and the center of the circle.

Now, we mark the next vertex of polygon on the circumference of the circle by measuring an angle with respect to the first line drawn from the center of the circle.

The measurement of the angle is based upon no. of vertices (=no. of side) of the polygon. We divide the full round angle 360° with the no. of vertices and obtain the angle between the each consecutive vertices from the center of the circle since the polygons are regular.

Polygons with the no. of vertices is as follows:

square -- 4

pentagon -- 5

hexagon -- 6

octagon -- 8

decagon -- 10

For decagon the central angle between each consecutive vertex:

[tex]\angle_{10}=\frac{360}{10}[/tex]

[tex]\angle_{10}=36^o[/tex]

For octagon the central angle between each consecutive vertex:

[tex]\angle_{8}=\frac{360}{8}[/tex]

[tex]\angle_{8}=45^o[/tex]

For hexagon the central angle between each consecutive vertex:

[tex]\angle_{6}=\frac{360}{6}[/tex]

[tex]\angle_{6}=60^o[/tex]

For pentagon the central angle between each consecutive vertex:

[tex]\angle_{5}=\frac{360}{5}[/tex]

[tex]\angle_{5}=72^o[/tex]

For square the central angle between each consecutive vertex:

[tex]\angle_{4}=\frac{360}{4}[/tex]

[tex]\angle_{4}=90^o[/tex]

The internal angle of a regular polygon is calculated as:

[tex]\angle=180-\frac{360}{n}[/tex]              where, n = number of sides (=vertices)

for example, in case of hexagon interior angle is:

[tex]\angle=180-\frac{360}{6}[/tex]

[tex]\angle=180-60[/tex]

[tex]\angle=60^o[/tex]

As the no. of sides increase the interior angles widen up and their values increase, which the central angle between the consecutive vertices decrease.

Answer:

The other person is definitely getting Brainlest thank you so much for your answer. YOU ARE A LIFE SAVER. :D XD.

Please give him/her Branliest ;D

find the value of x,if the distance between p(5,2) and Q(x,-2)be 5 units.​

Answers

Answer:

points srru

Step-by-step explanation:

Answer:

Step-by-step explanation:

PQ=√((x-5)²+(-2-2)²)=√((x-5)²+16)=5

squaring

(x-5)²+16=25

(x-5)²=25-16=9

x-5=±3

x=-3+5,3+5

or x=2,8

For a school show, Garima wants to arrange 42 flower pots in such a way that each column has an equal number of pots. Which of these could be the number of flower pots in a column?

Answers

Answer: She can either arrange them in 7 columns or 6 columns.

Step-by-step explanation:

We are given:

Total number of pots = 42

In order to arrange the pots in the same number of columns so that each column has an equal number of pots, we will find out the factors of 42.

42 = 6 × 7

42 = 1 × 42

Garima can arrange 6 pots in 7 columns or 7 pots in 6 columns so as to have equal number of pots.

Hence, she can either arrange them in 7 columns or 6 columns.

Question 1 of 10
Which function results after applying the sequence of transformations to
f(x) = x5?
• shift left 1 unit
• vertically compress by
3
• reflect over the y-axis

Answers

Answer: B) [tex]f\left(x\right)=\frac{1}{3}\left(-x-1\right)^{5}[/tex]

Step-by-step explanation:

When graphing x5 the parent function and plugging in the equation for B the only equation that fits the criteria of

*shifting left 1 unit

*vertically compressed by 1/3

*reflect over the y-axis

So the answer is B

The function after the transformation is f ( x ) = ( 1/3 ) ( -x + 1 )⁵

How does the transformation of a function happen?

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units: y=f(x+c) (same output, but c units earlier)

Right shift by c units: y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = x⁵

On reflecting over the y axis , we get

f ( x ) = ( -x )⁵

On vertically compressing by a factor of ( 1/3 ) , we get

f ( x ) = ( 1/3 ) ( -x )⁵

And , shifting 1 unit to the left , we get

f ( x ) = ( 1/3 ) ( -x + 1 )⁵

Hence , the transformed function is f ( x ) = ( 1/3 ) ( -x + 1 )⁵

To learn more about transformation of functions click :

https://brainly.com/question/26896273

#SPJ7

Find x from this triangle

Answers

Hello,

we are going to use the theorem of the bissectrice. (if this word is good in english)

[tex]\dfrac{KL}{LM} =\dfrac{KN}{NM} \\\\\dfrac{8}{x} =\dfrac{14}{20-x} \\\\8(20-x)=14x\\\\160-8x=14x\\\\22x=160\\\\x=\frac{160}{22} \\\\x=\frac{80}{11} \\\\\\x=7.\overline{27}[/tex]

QUESTION 4
f(x)=4x-10/x-2

4.1 Determine the x- and y-intercepts of
4.2 +9. Write f (x) in the form: f(x) = x - 2 4.3 Draw the graph of y, clearly show the intercepts with the axes and the asymptotes.
4.4 Give the equations of the asymptotes of f(x) + 3.​

Answers

Answer:

4.2+9.Write f (x)in the form:f(x)=x-2 4.3Draw

the difference in the measure of two complementary angle is 28 degrees. find the measure of these angles.please answer this question.​

Answers

Answer:

Hey

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

because i said so

Other Questions
Given a line segment that contains the points A,B, & C in order, if AB = 2x - 2, and BC = 2x + 10, and AC = 32, find x. Select one: a. 6 b. 24 c. 8 d. - 4 the mountain and the mouse story Fill in the blanks with the correct verbs given below.(croak, is ,brush, writes plays, chirp, combines, mows, are look , keeps rises ,has, reflects leaves, walks, is)1. Marry ......... to office every morning .Walking is good exercise.2. We........ our teeth after dinner. It ..........them clean.3. Salim......... for school everyday at 7:00 a.m.4. The sun ..........at 5:00 a.m. these days. The days are getting longer.5. The tiger ......an endangered animal. There are only 1410 tigers left.6. Vikram Seth......... poetry, fiction and travelogues.7. Sania Mirza......... tennis. She plays both singles and doubles.8. Frogs....... ...and birds...........9. Please ..........for my red shirt. I cannot find it.10. The gardener ........ the loan once a week.11. The moon ........the light of the sun.12. The times of India......... a national newspaper.13. The UN headquarters...... in Geneva.14. Maya ........... a pet dog .Its name is Lily.15. This book....... projects and activities. magbigay ng pahayag tungkol sa confucianismo How did the English bill of rights impact the colonists views of government? What type of line is PQ? Which is a property of all bases? please help guys !!! Suppose that a queue is implemented using a circular array of size 12. What is the value of last after the following operations?10 enqueue operations 5 dequeue operations 6 enqueue operations 10 dequeue operations 8 enqueue operations 2 dequeue operations 3 enqueue operations Last = 10 Based on what you've learned here about the Barnum effect and common biases found in research, which of the following is likely a limitation of studies or demos like this that involve surveys and self-reporting? a. People don't always tell the truth or tend to exaggerate or downplay aspects of their lives. b. People often tell researchers what they think these authority figures want to hear, based on their assumptions about the study in which they're participating c. Subjects are not randomly chosen and assigned to groups (as in more formal and rigorous Setups), but instead choose to participate in the activity, which is called self-selection bias d. All of the choices given are legitimate concerns involving studies or demonstrations that rely heavily on surveys for their data and results. plz help answer fast irrelevant answers will be reported Qu diferencia una magnitud fundamental de una derivada? HOW OLD IS THE ISS? HOW LONG HAS IT BEEN OPERATIONAL? If 6000 J of heat is added to 200 gm of water at 25 C. What will be its finaltemperature? When people become parents through pregnancy, adoption, or step-parenting, they face ________ and must adapt. Group of answer choices What is the circumference of the given circle in terms of [tex]\pi[/tex]?a. 14[tex]\pi[/tex] in.b. 28[tex]\pi[/tex] in.c. 42[tex]\pi[/tex] in.d. 196[tex]\pi[/tex] in. A wheel accelerates so that it's angular speed increases uniformly from 150 rads/s to 580 rads/s in 16 revolutions.Cakcjlate its angular acceleration. Suppose the figure KLMN is dilated using a scale factor of 1/3 with the center of dilation at the origin. Which are the ordered pairs for the image?1. K(-1,3), L(-3,0), M(, -8/3), N(2, 4/3)2. K(-9,27), L(-27,0), M(6, -24), N(18, 12)3. K(0,6), L(-6,-3), M(-1, -5), N(3, 1)4. K(3,-1), L(0,-3), M(-8/3, ), N(4/3,2) Question 4Which term in the sequence given by n th term formula 7n - 50 has a value of 41?th term PLEASE BE QUICK! Question 7 of 35Why do scientists use microscopes to study cells?A. Because most cells are too dangerous to view without protectionB. Because it is quite rare to find living things that are made of cellsC. Because most cells cannot be seen without magnificationD. Because cells can be studied only after they have diedSUBMIT