A linear function has f(1) = -1 and f(4) = 5. find its equation f(x)

Answers

Answer 1
Answer: y = 2x - 3
Explanation:
Using rise over run, 5 - - 1 / (4 - 1) = 6/3= 2.
Plugging that slope into the slope intercept formula, y =2x + b.
The constant b can be found by plugging in a point and solving for b.
Plugging in the point (1,-1), -1 = 2(-1) + b,
so b = -3 and the function is y = 2x - 3.

Related Questions

I need help with this

Answers

Answer:

(a) = 37π/180 radians

(b) = 37°

Step-by-step explanation:

Converting km/h ⇒ m/s :

⇒ 54 km/h x 5/18

⇒ 3 x 5

⇒ 15 m/s

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

Formula to calculate the angle :

⇒ tanθ = v/r

⇒ tanθ = (15 m/s)/(20 m)

⇒ θ = tan⁻¹ (0.75)

⇒ θ = 37°

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

Converting to radians :

⇒ Radian measure = Angle measure × π/180°

⇒ Radian measure = 37° × π/180°

⇒ Radian measure = 37π/180 radians

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

Solutions :

(a) = 37π/180 radians

(b) = 37°

Find the value of X round to the nearest degree

Answers

Check the picture below.

Make sure your calculator is in Degree mode.

[tex] \huge\fbox\green{QUESTION} [/tex]

[tex] \mathsf \blue{calculate \: the \: gradient}[/tex]

Answers

[tex] \huge \fbox \orange{♧Answer♧}[/tex]

[tex] \mathcal\blue{METHOD\:1} [/tex]

[tex] \mathsf \purple{ - ( \frac{y}{x} )}[/tex]

[tex] \mathsf \purple{ - ( \frac{ - 4}{5})} [/tex]

[tex] \mathsf \purple{( \frac{4}{5} )}[/tex]

[tex] \mathcal\blue{METHOD\:2} [/tex]

[tex] \mathsf\purple{m\:=\:(Y2\:-\:Y1)\:÷\:(X2\:-X1)} [/tex]

[tex] \mathsf\purple{m\:=\:(-4\:-0)\:÷\:(0\:-\:5)} [/tex]

[tex] \mathsf\purple{( \frac{4}{5})} [/tex]

[tex] \mathcal\blue{METHOD\:3} [/tex]

[tex] \mathsf\purple{m\:=\:rise\:÷\:run} [/tex]

[tex] \mathsf\purple{m\:=\:( \frac{4}{5})} [/tex]

[tex] \mathbb\pink{NOTE:} [/tex]

The difference between the y-coordinates of the two points is called the rise. The difference between the x-coordinates of the same two points is called the run. The slope can be calculated by dividing the rise by run.

!!!1HELPP!!PLS HELP ITS DUE TONIGHT!! Two spinners are used in a game. Each spinner has four equal sections: red, green, white, and blue.
Create an organized list showing all the possible outcomes after both spinners are spun. Use R to represent red, G to represent green, W to represent white, and B to represent blue. Explain how to find the total number of outcomes from the list.

Find the probability of landing on white then blue.

Compare the probability found in Part B to the probability of landing on white and blue in either order. Explain why they different.


If a third spinner is introduced, would the probability of landing on blue, white, and green in any order still have the same relationship with the probability of landing on the same color set in a specific order? Justify

Answers

It’s a simple probability question that can be solved with an “outcome tree” and fractions. To show the possible outcomes you can pick a main color then branch off of it to show the possible outcomes. The probability of landing on white would be 2 out of 8. Landing on blue would be 2 out of 16 because the probabilities have multiplied. I know this probably doesn’t make much sense but this was the best I could explain it.

2. Two painting companies were hired to paint two different buildings. The amount of area
left to paint on both buildings is related to the amount of time that the painters spend
on painting each of them. This relationship is shown in the two graphs below:

a. what are the linear functions modelling the two relationships in the graphs above?

b. which painting company is painting their building at a faster rate? how much faster?

c. which painting company had less area to paint when they began painting their building?

d. how many hours will it take each painting company to completely finish painting their building?

pls help its due today and its 100 points

Answers

#a

#1

(0,2100)(7,2000)

Slope:-

m=2000-2100/7=-100/7

Equation in point slope form

y-2100=-100/7(x)y=-100/7x+2100

Slope=-100/7

#2

(0,1800)(8,1700)

Slope

m=1700-1800/8=-100/8

Y intercept=1800

Equation

y=-100/8+1800

Slope=-100/8

#b

First company is painting faster

-100/7 ÷-100/88/7 times faster

#c

Comapny B

as their y intercept is 1800 which is less than 2100

#d

for #1

-100/7x+2100=0100/7x=2100x=21(7)=147hours

#2

100/8x=1800x=18(8)x=144hours

Which decimal is equivalent to -3 1/8? *20 points*

a. -3.18
b. -3. 125
c. -3. 1205
d. -3.12

Answers

Answer: -3.125

Step-by-step explanation: -1 divided by 8 = .125

Axel used the vertical line test on this graph, and decided it is a function because the vertical line only passes through one point, (3, 0).

On a coordinate plane, a circle is centered around (0, 0). A vertical line touches the edge of the circle at (3, 0).

Is Axel’s statement correct?

Answers

Axel’s statement is incorrect.

Explanation:

By viewing this question, I can already tell Axel is incorrect. Because the shape is a circle, it goes around and then meets back at one spot. Therefore, when using the vertical line test, many different points have the same y-value. Because there are multiple outputs for one value, this circle is not a function. Axel’s graph does not pass the vertical line test for every set of points.

Answer: Axel's statement would be incorrect. (If this is for Edgenulty, the answer is C)

Step-by-step explanation: No, because the relation does not pass the vertical line test for every possible input.

C Several groups of people wish to rent a boat. Group 1 has 4 people. Group 2 has 5
people Group 3 has 8 people. Which of the groups, if any, can safely rent a boat?
What is the maximum number of people that may rent a boat? Justify your answers

Answers

Answer:

group 69

Step-by-step explanation:

John Krasinski is Mr. Fantastic in Multiverse of Madness

Can someone try to help?

Answers

Answer:

Step-by-step explanation:

How many hours and minutes is 125 minutes

Answers

Answer:

2 hours and 5 minutes.

Step-by-step explanation:

2 hours is 60mins+60mins which is equal to 120mins and then the extra 5mins

Hilary studied for a total of 2 hours and 5 minutes this week.

If Hilary studied for 25 minutes each day for five days this week, we can calculate the total study time by multiplying the number of minutes studied per day (25) by the number of days (5):

25 minutes/day × 5 days = 125 minutes

To convert this to hours and minutes, we need to divide the total minutes by 60 (since there are 60 minutes in an hour) to get the number of hours and find the remainder as minutes.

125 minutes ÷ 60 = 2 hours and 5 minutes

Therefore, Hilary studied for a total of 2 hours and 5 minutes this week.

Learn more about unit conversion click;

https://brainly.com/question/28600662

#SPJ6

Kendrick was given the equations 4x+2y=14 and 3x-y=23. He decided to solve the system of equations by substitution. Each step is shown.
Step 1: 4x+2y=14
Step 2: 2y=14-4x
Step 3: y=7-2x
Step 4: 3x-7-2x=23
Step 5: x-7=23
Step 6: x=30
In which step did Kendrick make an error? Explain.

Answers

The Kendrick made a mistake in step 4 he did not multiply the term (7 - 2x) with -1, and he wrote 3x-7-2x=23 instead of 3x -7 +2x = 23

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Kendrick was given the equations:

Step 1: 4x+2y=14 ...(1)

3x-y=23 ...(2)

From the equation first:

Step 2:  2y = 14 - 4x

Step 3: y = 7 - 2x  put this value in the second equation

Step 4:  3x - (7 - 2x) = 23

Step 5: 3x -7 +2x = 23

Kendrick did a mistake in step 4 he did not multiply the term (7 - 2x) with -1

Thus, the Kendrick made a mistake in step 4 he did not multiply the term (7 - 2x) with -1, and he wrote 3x-7-2x=23 instead of 3x -7 +2x = 23

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

Use this chart to answer the following questions.

QUARTER
DIVIDEND DIVIDEND FOR 55 SHARES
1 $.50/share 27.50
2 $.35/share 19.25
3 $.62/share
4 $.50/share 27.50
Total Dividends for 1 Year
How much would an investor with 55 shares of this stock have earned in dividends in one year?
$108.35
$106.75
$107.85
$109.05

Answers

The amount that an investor with 55 shares of this stock have earned in dividends will make in one year is A. $108.35.

How to calculate the dividend?

It should be noted that the dividend for the year will simply be calculated by adding the dividend in each quarter.

Therefore, the amount that an investor with 55 shares of this stock have earned in dividends will make in one year will be:

= $27.50 + $19.25 + $34.10 + $27.50

= $108.35

Learn more about dividend on:

https://brainly.com/question/25845157

#SPJ1

Does anyone know how to solve this! (30 points)

Answers

Answer:

Step-by-step explanation:

-16[tex]t^{2}[/tex] +50t + 3

they ask what is the height after exactly 3 seconds,  so plug in the 3 for t

t(3) = -16*[tex]3^{2}[/tex] + 50*3 +3

t(3) =  -144 +150 +3

t(3) = 9 feet,  ( the ball has gone up and come back down most of the way )

Find the mean absolute deviation for each set of data. Round to the nearest Tenths.

5.2, 4.8, 5.5


4.7, 5.3, 4.9

Answers

Answer:

5.2 , 4.8 , 5.5 is 0.2

4.7 , 5,3 , 4.9 is 0.7

Directions: Identify the binomial factors of the following trinomials.

1. x2 + 14x + 13

2. x2 + 7x + 12

3. x2 + 8x + 15

4. x2 + 8x + 12

5. x2 + 7x + 10

6. x2 + 5x + 6

7. x2 + 5x + 4

8. x2 + 10x + 21

9. x2 + 10x + 16

10. x2 + 6x + 9

11. x2 + 9x + 20

12. x2 + 9x + 14

13. x2 + 13x + 42

14. x2 + 9x + 18

15. x2 + 17x + 70

(Remember, the factors of the last term that equal the addends of the second term.)

Answers

Answer:

1. x= -1 & x= -13

2. x= -3 & x= -4

3. x= -3 & x= -5

4. x= -6 & x= -2

5. x= -5 & x= -2

8. x= -7 & x= -3

9. x= -8 & x= -2

10. x= -3 & x= -3

11. x= -5 & x= -4

12. x= -2 & x= -2

13. x= -6 & x= -7

14. x= -6 & x= -3

15. x= -10 & x= -7

In ΔABC, AB = 16 in, BC = 9 in, AC = 10 in. AD is perpendicular to the extension of BC . Find CD.

Answers

Answer:

25/6

I don't really know how I got it, sorry I can't help with that

14) Which factored form is equivalent to the expression x2 + xy – 2y – 2x?
A) (x + 2)(x + y)
B) (x - 2)(x + y)
C) (x+2)(x-y)
D) (x-2)(x-y)

Answers

Answer:

B

x(x+y)-2(x+y)

x2+xy-2x-2y

(-2y-2x=-2x-2y because of distributive property)

Here are three intersecting lines.



Write an equation that represents a relationship between these angles.

Answers

Answer:

Simplify the expression using the distributive property.

6(x +7)

Group of answer choices

6x + 42

6x + 7

x + 42

Step-by-step explanation:

Aft
10 ft
3 ft
2 ft
6 ft
Surface Area =
Surfa
I need the surface area

Answers

Answer:

Step-by-step explanation:

Front and back

Givens

base = 6 feet

height = 2

Formula

Area = 1/2 B * h

Area = 1/2 * 6 * 2

Area = (2) 1/2 * 12

Area = 12 square feet for both front and back

Base

The base is a rectangle. A rectangle has the formula of  Area =  L*w

Givens

L = 10 feet

W = 6 feet

Area = 10 * 6 = 60

Left roof

The left roof is also a rectangle. Area = L*w

Givens

L = 10 feet

W = 3 feet

Area = 3 * 10 = 30 feet^2

Right Roof

The right roof is a rectangle. Area = L*w

Givens

L = 10 feet

w = 4 feet

Area = 4 * 10 = 40 ft^2

Total area

Total Area = right roof + left roof + Base + front and back

Total Area = 40 + 30 + 60 + 12

Total Area = 142 feet ^2

These proteins identify and lock on to an antigen (pathogen) and then tell other parts of the body to destroy the germ and it is not D


A. T Cells


B. Phagocytes


C. Antibodies



D. Lymphocytes

Answers

Answer:

c. antibodies

Step-by-step explanation:

Antibody Functions

Attach to flagella of bacterium, restricting their movement. Multi-bind to many bacteria at once, causing them to accumulate and prevent movement around the body. Burst bacteria cell walls. Attach to bacteria, making it easier for phagocytes to ingest them.

Which of the following is an irrational number?
AOS because it cannot be rewritten as an integer
B. 0.98 35 , because
iS a repeating decimal
0. C.T 0, because it has no value
D.O /84, because it cannot be expressed as either a terminating or repeating decimal

Answers

Answer:

D

Step-by-step explanation:

This is an irrational number as it does not repeat and has an infinite number of combinations (as like pi)

HELP PLEASEEEEeeeeee

Answers

An expression is defined as a set of numbers, variables, and mathematical operations. The value of the expression (√2)π/(√5) is 2.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The value of the expression (√2)π/(√5) can be written as,

[tex]\dfrac{\sqrt2 \pi}{\sqrt5}\\\\= \sqrt{\dfrac25}\pi\\\\=\sqrt{0.4} \times \pi\\\\[/tex]

= 0.6324 × π

= 1.9869 ≈ 2

Hence, The value of the expression (√2)π/(√5) is 2.

Learn more about Expression:

https://brainly.com/question/13947055

#SPJ1

Answer:

It would be D). 2.0 because we know the square root of 2 over the square root of 5 is the square root of 10 over 5. Now, we can plug in pi, giving us the square root of 10 times pi over 5. Giving us 1.98 which can be rounded up to 2.0

The ice cream stand offers chocolate, vanilla, and strawberry ice cream. Find the approximate probability the next three customers order vanilla, chocolate, and then strawberry. A. 3.7% B. 11.1% C. 16.7% D. 8.3%

Answers

Answer:

D I'm sure that's is answer thank you

What type of event is composed of two or more separate events?

Answers

Answer:

A compound event

Step-by-step explanation:

compound event is more complex than a simple event, as it involves the probability of more than one outcome. Another way to view compound events is as a combination of two or more simple events

Can someone explain me the answer and how to solve it

Answers

Answer:

The radius is 8.

Step-by-step explanation:

Because OA is a radius and AB is a tangent, Angle A is a right angle. So you can use Pythagorean theorem (shortcut Pythagorean triple)

OA^2 + 15^2 = 17^2

OA^2 + 225 = 289

OA^2 = 64

OA = 8

OA is a radius, the radius = 8

Find the value of m < 7 .

Answers

Answer:

B

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ FES is an exterior angle of the triangle , then

57° + ∠ F = 142° ( subtract 57° from both sides )

∠ F = 85°

Answer: Option B: 85°

Step-by-step explanation:

Finding E: 142 + 180 + E = 360

360 - 142 - 180 = 32

E = 32

Finding F: 57 + 32 + F = 180

180 - 57 - 32 = 85

F = 85

What is the equation of the line that passes through the points (-8,-1) and (-4,-4)?

Answers

Answer:

1111111111111111111111111111111111111111111111111111111111111111111111111111111111111

Step-by-step explanation:

What is 80 percent of 160?

Answers

The answer 128 cause just divide

Step-by-step explanation:

[tex] = \frac{80}{100} \times 160 \\ [/tex]

[tex] = \frac{12800}{100} [/tex]

= 128

if the slope is 10.5 what would be the per hour

Answers

Answer:

Uh the slope

Step-by-step explanation:


State all integer values of x in the interval (-3, 3] that satisfy the following
inequality:
-3x + 4 > 9

Answers

(-3,3] is an interval which means that -3 and 3 are not inclusive of the values of x -5/3.

We have given

-3x+4 > 9

Required values of x.

State the values of x within -3 and 3.

subtract 4 from both sides,

-3x+4-4>9-4

What is the meaning of like terms?

like terms are terms that have the same variables and powers. The coefficients do not need to match.

Collect Like Terms

-3x > 5

(-3x)(-1)   <   5(-1)

3x  <  -5

Divide both sides by 3

3x/3 < -5/3

x    <   -5/3

(-3,3] is an interval which means that -3 and 3 are not inclusive of the values of x is -5/3.

To learn more about the interval visit:

https://brainly.com/question/12221823

#SPJ1

Other Questions
pls factorize 4(2x-3)(5x+2)=0 9. Look at the engine block shown in the figure. The engine shown in this figure is alanO A. eight-cylinder, V-type engine.O B. six-cylinder, V-type engine.O C. four-cylinder, in-line engine.O D.four-cylinder, horizontally opposed engine. A data analyst at a construction company is working on a report for a quickly approaching deadline. Why might they choose to analyze only historical data Mitchell received a stipend at the beginning of the semester to buy textbooks. During the semester, he spent $430.84 on textbooks. He had $136.04 of the stipend left at the end of the semester.x - $430.84 = $136.04How much was Mitchell's stipend? A. $566.88 B. $702.92 C. $362.82 D. $294.80 Use the method of completing the square to determine the exact values of x for the equation x2-8x+6=0. [4.8] 1 can find the area of a sector. A major fishing company does its fishing in a local lake. The first year of the company's operations it managed to catch 154,000 fish. Due to population decreases, the number of fish the company was able to catch decreased by 5% each year. How many total fish did the company catch over the first 10 years, to the nearest whole number? Select all of the factors that affect the level of wages. Select 4 correct answer(s)level of immigrationconsumer protection regulationsproduction possibilities frontierskills & abilitiessize of the labor pooldiminishing marginal utilityactions of labor unions Ernie is worried about his friend Haley. She has been drinking a lot and engaging in some other high-risk behavior. They have been friends for years, and this is not really like her. He wants to talk to her about his concerns, but he is not sure what the most effective way to influence her behavior is. Give three ways he could encourage her to pursue healthier behavior. Are your actions free or determined? Fully explain your answer. Mei Mei invested $1700 in an account that pays 3% interest compounded annually.Assuming no deposits or withdrawals are made, find how much money Mei Meiwould have in the account 16 years after her initial investment. Round to the nearesttenth (if necessary). Even though both crimes are notorious in American history, how had things changed between the time of the assassination of Lincoln and themurder of Nicole Brown Simpson and Ron Goldberg?O A Punishment for murder had become much more serious.B. Weapons had advanced significantly from swords to guns.OC Television had been invented, allowing everyone to watch the trial.OD. Racism became a motive for murder. What was ronald reagans basic belief about economic growth? he thought greater government involvement in business would fix the nations economic problems. he felt that more regulations would help to create more jobs. he believed that decreasing government spending would eventually lead to economic growth. he thought that higher taxes would provide incentives for growth. Please help a solution of potassium hydroxide (koh) was titrated against a solution of hydrochloric acid. how many moles of potassium hydroxide would react with 1 mole of hydrochloric acid? (hint: it may help to write out a balanced symbol equation for the reaction.) Please give coordinates :) Simplify the expression given below.x+2/x^3+2x^2-9x-18/3x+1/x^2-9 Express y in terms of x! Find the value of y when x = 1.1/6x + 3/4y =4 The Cold War era was marked by the rivalry between the US and the Soviet Union, the time of tension was pushed on because of the fact that the two countries never actually went to war. When else would this term apply in US history if at all? What might have happened if there would have been a "hot" war with the Soviet Union. North Dakota has recently had the fastest growing population out of all 50 states. On Jan 1, 2013, thepopulation of North Dakota was 700,000 people. North Dakota's population has been growing by 5%per year. Express North Dakota's population, N, in terms of years since 2013, t An executive act that legally excuses a convicted offender from a criminal penalty is called a pardon. a. true b. false