Find the linear function with the following properties.

f(−4)=6
Slope of f=−6

Answers

Answer 1

Given:

f(−4)=6

Slope of f=−6

To find:

The linear function with the given properties.

Solution:

We have,

f(−4)=6

It means, the value of linear function is 6 at x=-4. So, the linear function passes through the point (-4,6).

Slope of f=−6

The point slope form of a linear function is

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

where, m is slope of the linear function.

On substituting the values, we get

[tex]y-6=(-6)(x-(-4))[/tex]

[tex]y-6=-6(x+4)[/tex]

[tex]y-6=-6x-24[/tex]

Add 6 on both sides.

[tex]y-6+6=-6x-24+6[/tex]

[tex]y=-6x-18[/tex]

The function form of this linear equation is

[tex]f(x)=-6x-18[/tex]

Therefore, the required function is [tex]f(x)=-6x-18[/tex].


Related Questions


Rename 3/10 and 2/3 using the least common denominator.

Answers

Answer:

LCD = 30

3/10 = 9/30

2/3 = 20/30

Step-by-step explanation:

This is the answer because:

1) First, the least common denominator is 30 because 10 x 3 is 30 and 3 x 10 is 30

2) Next, multiply the numerators with the same number you multiplied with the denominator    

3 x 3 = 9

2 x 10 = 20  

3) Therefore, the answers are:

3/10 = 9/30

2/3 = 20/30

Hope this helps!

Graph (f(x)+-2((x+3)(x-1). Label the x intercepts, vertex and axxis of symmetry

Answers

Answer: x-intercepts: (-3,0), (1,0)

              vertex: (-1,8)

              axis of symmetry: x = -1

Step-by-step explanation:

obtain the total salary?)
2. Xandria rides through a jeepney which charges P 8.00 for the first 4 kilometers
and additional P0.50 for each additional kilometer. Express the jeepney fare (F)
as function of the number of kilometers (d) that Xandria pays for the ride.
Answer​

Answers

Answer:

F(d) = 30 + 0.50d

Step-by-step explanation:

Given

Charges = P8.00 ---- first 4 km

Additional = P0.50

Required

Write a function to address the scenario.

Represent the whole distance covered with d.

First,we need to determine the total charges for the first four hours.

Charges = 8.00 * 4

Charges = 32.00

Next, we determine the charges for additional distance.

Charges = 0.50 * (d - 4)

d - 4 is the remaining distance after the first 4.

Charges = 0.50d - 2

The function is then written as;

F(d) = 32 + 0.50d - 2

F(d) = 32 - 2 + 0.50d

F(d) = 30 + 0.50d

which expert is an example of indirect characterization

Answers

Answer:

Juana pretended to be sick so that she wouldn't have to go to school.

Step-by-step explanation:

Which excerpt is an example of indirect characterization?

-Jett was a kind boy who was always willing to help anyone in need.

-Mariana was a chatterbox and could talk for hours about any subject.

-Juana pretended to be sick so that she would not have to go to school.

-Lamar was jealous of his older brother Omar, who was a skilled soccer player. NextReset

The value of an ambulance depreciated by 17.5% from the purchase price of $35,400 a
year ago. What is its current value?​

Answers

Answer:

29,205

Step-by-step explanation:

100% - 17.5% = 82.5%

82.5% * 35,400 = answer

make percent a decimal

.825 * 35,400 = 29,205

29,205 is answer

The required current value of the ambulance is given as $29,205.

What is the percentage?

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,

The value of an ambulance depreciated by 17.5% from the purchase price of $35,400 a year ago.

Current price = 35400[1 - 0.175]
Current price =  $29,205

Thus, the required current value of the ambulance is given as $29,205.

Learn more about percentages here:

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Solve for y

1/3y+2=1/7y

Answers

Answer:

y=2

y=0

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    7*y-1-(3*y^2+y-1)=0

(7y - 1) -  ((3y2 +  y) -  1)  = 0  3.1     Pull out like factors :

  6y - 3y2  =   -3y • (y - 2)

Answer:

y = -21/2

Step-by-step explanation:

multiply both sides of the equation by 21 so it would be

7y+42=3y

move the terms

7y-3y=-42

collect like terms

4y=-42

divide both sides by four

y= -21/2

please help! The height of a plant is increasing at a rate of 3 centimeters every 2 days. At this rate, how many centimeters does the height increase in 14 days? *

Answers

Answer:

21 cm increase over 14 days

Step-by-step explanation:

14 days / 2 days = 7 days.

3 cm every 2 days * 7 days =

3 * 7 = 21 cm

Which is the most accurate measurement of 1 pound?

Answers

Answer:

I would say 15 ounces

factorise x squared - 42 squared​

Answers

Answer:

42 squared is 1764

Step-by-step explanation:

Answer: (x + 42)(x - 42)

Step-by-step explanation:

factorise: x^2 - 42^2

. x^2 - 42^2 have ^2 in common (so you can ignore that).

. put in brackets (x - 42)(x + 42)

. +/- any order really doesn't matter :D

geometry, please help

Answers

Answer:

I believe that number 7 is true.

Step-by-step explanation:

8. Is not a vertical angle because 3 and 3 do not look the same. The line is clearly gone on one side.

9. Is also wrong because both angles do not make a 90 degree angle.

10. Is wrong because both angles make a 90 degree angle when it should make a be 180 degrees.

( I'm learning this subject right now so it might be wrong. Tell me if I go this right.)

why my bawls itch so much its annoying

Answers

Answer:

is this a joke

Step-by-step explanation:

Answer:

scrath

Step-by-step explanation:

reach down. give itch, happ.y

What quadrant would be ordered pair (-4,-6) fall in?

Answers

It would fall in quadrant 3 because the numbers are both negative.

Which of the following is the correct factorization of the polynomial below 2X squared -16 X +32

Answers

Answer:

it depends what you mean but if you taking out the gcf its 2(x^2-8x+16)

but if you mean like quadratic formula its (2x-8)(x-4) and if you wanna do the extra step to symplify that its 2(x-4)(x-4).

Answer:2(x-4)^2

Step-by-step explanation:

SUPER EASY, ILL GIVE A BRAINLIEST THINGY TO FIRST ANSWER. At the store, two brands are sold. Brand A is offered as 6 for $0.85. Brand B is offered as 8 for $1.00. Which brand is the better buy?

Answers

Answer:

8 for $1.00

step by step explanation:

Convert 13/2 to a decimal using long division.

Answers

Answer:

6.5

Step-by-step explanation:

Divide 13 by 2 to get 6.5

Answer: 13/2 = 6 with a reminder of 1

Step-by-step explanation:  Attached image should show you my work.

**Find the component form of the resultant vector.**

Answers

Answer:

[tex]\overrightarrow{AB}+\overrightarrow{CD}=(-3,-7)[/tex]

Step-by-step explanation:

Vector Addition

We are given the points A=(1,3), B=(-4,5), C=(-2,10), D=(0,1). Find:

[tex]\overrightarrow{AB}+\overrightarrow{CD}[/tex]

First, find both vectors from the initial and final points:

[tex]\overrightarrow{AB}=(-4-1,5-3)=(-5,2)[/tex]

[tex]\overrightarrow{CD}=(0-(-2),1-10)=(2,-9)[/tex]

Now find the sum of both vector by adding the components separately:

[tex]\overrightarrow{AB}+\overrightarrow{CD}=(-5,2)+(2,-9)=(-3,-7)[/tex]

[tex]\boxed{\overrightarrow{AB}+\overrightarrow{CD}=(-3,-7)}[/tex]

Which property of addition is shown in the equation below?
a + bi + 0 + Oi = a + bi
A.commutative property
B.inverse property
C.identity property
D.associative property

Answers

C. Identity property

helllllpp pleaseeeeeee ​

Answers

Its B
x = 1 loaf of bread
y = eggs

Dwayne buys a loaf of bread ( x ) and 6 eggs ( 6y ) for $4.45
x + 6y = 4.45

Sheila buys 1 loaf of bread ( x ) and and 1 dozen eggs ( 12y ) - dozen is 12 for $5.65
x + 12y = 5.65

B. x + 6y = 4.45
x + 12y = 5.65

9514 1404 393

Answer:

  B.  x +6y = 4.45; x +12y = 5.65

Step-by-step explanation:

The problem statement defines the variables for you. Using x and y for the cost of a loaf and the cost of an egg, respectively, each purchase can be represented by an equation of the form ...

  (number of loaves)x + (number of eggs)y = (amount spent)

The first purchase is described as

number of loaves = 1number of eggs = 6amount spent = 4.45equation: x +6y = 4.45

The second purchase is of a dozen eggs, which is 12 eggs. The description of this purchase can be ...

number of loaves = 1number of eggs = 12amount spent = 5.65equation: x +12y = 5.65

The situation can be represented by the equations shown in the attachment.

simplify (7x +2) 3 +8x

Answers

Get rid of brackets:
21x +6 +8x
Put 6 to the other side:
21x +8x = -6
27x = -6
Divide both sides by 27
X= -0.22
Answer: 29x+6

1) regroup terms

3(7x+2)+8x

2) expand by distributing terms

21x+6+8x

3) collect like terms

(21x+8x)+6

4) simplify

29x+6

*How far can a train travel in 45 minutes if it is traveling at 80 miles per hour.

Answers

Answer:

60 miles

Step-by-step explanation:

distance = speed x time

45 minutes = 0.75 hours

0.75 x 80 = 60

A fraction with fractions in either the numerator or the denominator or both is called a _____.

complex fraction
mixed fraction
compound fraction
parallel fraction

Answers

Answer:

Compound fraction

Step-by-step explanation:

You're welcome

Answer:

Compound fraction

Step-by-step explanation:

What he said

6thousandths times 8

Answers

Answer:

.048

Step-by-step explanation:

6 thousandths = 0.006

So, 0.006 times 8 would be...

.006

x    8

.048

Hope this helps you out! I'm not exactly sure how to explain how to multiply, but if you're confused, you can always ask someone for help...have a great day :)

I did this one slot of times but I never get it

Answers

Answer:

A: [tex]x^{2} \leq 16[/tex]

A is a solution set of the inequality.  

This means:

[tex]x^{2} \leq 4[/tex]

(AND)

[tex]x^{2} \geq -4[/tex]

Which can also be written as:

Interval notation: x ∈ [-4, 4]

Set notation:  {x | [tex]-4 \leq x \leq 4[/tex] }

__,__,__,89,115,141 so

Answers

Answer:

11, 37, 63, 89, 115, 141

Step-by-step explanation:

Subtract 89 from 115 and you get 26.

Subtract 115 from 141 and you get 26.

Its a pattern, subtract 26 from 89 and you get 63, keep subtracting 26.

Answer:

11, 37, 63, 89, 115, 141

Step-by-step explanation:

Every time you proceed right you add 26 to the last number.

Every time you go left you take away 26 from the last number

Hope this helps:)

(just add until 89 is 115 and add the answer to 115 and see if the answer adds up)

Chloe bought three pounds of strawberries for $16.80. What is the price, in dollars per ounce of strawberries?

Answers

Answer:

$5.60

Step-by-step explanation:

Each pound of strawberries costs $5.60.

To solve: $16.80 divided by 3

A bag contains 150 marbles. Some are blue, and the rest are white. There are 21 blue marbles for every 4 white marbles.

Answers

Answer:

84

Step-by-step explanation:

none

The number of blue marbles are 126 and the number of red marbles are 24.

Given that, a bag contains 150 marbles.

What is the ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

There are 21 blue marbles for every 4 white marbles.

Here, the ratio of blue marbles to red marbles is 21:4

The number of blue marbles = 21x and the number of red marbles =4x

So, 21x+4x=150

⇒ 25x=150

⇒ x=150/25

⇒ x=6

Then blue marbles=21x=126 and red marbles = 4x =24

Therefore, the number of blue marbles are 126 and the number of red marbles are 24.

To learn more about the ratio visit:

brainly.com/question/13419413.

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"Your question is incomplete, probably the complete question/missing part is:"

A bag contains 150 marbles. Some are blue, and the rest are white. There are 21 blue marbles for every 4 white marbles. How many blue marbles are in the bag?

What is the volume of a cube with one side being 16 feet ?

Answers

Answer:

Cube

Solve for volume

V=4096ft³

Step-by-step explanation:

MARK ME BRANILEST ✨

Answer:

Step-by-step explanation:

V=a3

v=163

v=4096 feet

6n + 12 what kind of property is it ?

Answers

Answer:

Subtractive property of equality

Subtractve property i think

4. Una fuerza le proporciona a la masa de 8 Kg. una aceleración de 2.2 m/s2. Calcular la magnitud de dicha fuerza en Newton.​

Answers

Answer:

Talk in English I don't understand your language.

Step-by-step explanation:

So Talk in

English

OK

Bro.

3x-5 (2x+6) = 4(2x+3)+18

Answers

Answer:

 =  − 4

Step-by-step explanation:

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