Construct a linear function that has a slope of -3 and passes through the point (−2,3)

Answers

Answer 1

Answer:

f(x) = -3x - 3

Step-by-step explanation:

you can use the point-slope form to help you.  

[tex]y - y_{1} = m (x - x_{1} )[/tex]     m = slope   and  [tex](x_{1} , y_{1}) = (-2, 3)[/tex]

So,  y - 3 = -3(x + 2)

y - 3 = -3x - 6

y = -3x - 3    or f(x) = -3x - 3

Answer 2

[tex]f(x) = -3x - 3[/tex]You can use the standard form y = mx + c to build that linear relationship.

Thus, the needed linear function is: [tex]f(x) = -3x -3[/tex]

Given that:The line has slope of -3The line passes through (-2,3)To find:

The linear function

Relation between linear function and straight line:

A linear function of two variables is always an equation of a straight line and can be converted into standard form y = mx + c (assuming m and c to be finite constants and x and y are variables).

m denotes slope of this line and c denotes intercept on y axis by this line.

If linear function is not of two variables, then we can take the output f(x) as value of second variable.

Since the slope is already given, thus, we have the equation as:

y = -3x + c

Now, since the line passes through (-2,3), thus it must satisfy the equation since the point is member of the family of points who constitute this line(and since the equation shows family of such points, thus the point should satisfy the equation).

Thus,

[tex]y = -3x +c|{(x,y) = (-2,3)}\\ 3 = -3 \times -2 + c\\ 3 = 6 + c\\ c = 3 - 6\\ c = -3[/tex]

Thus, we have the equation of the straight line in consideration as:

y = -3x -3

y is function of x, thus can be rewritten as  [tex]f(x) = -3x -3[/tex] (assuming f doesn't represent any other function as we can't use used symbols in a context to prevent ambiguity)

Thus, the needed linear function is: [tex]f(x) = -3x -3[/tex]

Learn more about equation of straight line here:

https://brainly.com/question/19380936


Related Questions

x > -2

A number line going from negative 2 to positive 2.

Check all that are solutions of the inequality.
A. -2
B. 0
C. -3.75
D. 4 and two-fifths
E. 1.999
F. 347,595

Answers

Answer:

B, E

Step-by-step explanation:

0 and 1.999 are greater than -2 yet within the number line

Answer:

0

4 and two-fifths

1.999

347,595

Step-by-step explanation:

Got it right.

Hope this helps!!!

Redraw the graph so that it is not misleading.​

Answers

Answer:

you need to redraw the left axis

Step-by-step explanation:

if you notice on the left axis the numbers do not increase by the same amounts, it goes up .10, then .20, then .30, etc

if should go up the same amount each time to accurately show the data

so it should go from 3.10 to 3.20 to 3.30 to 3.40 etc

Find the value of x to the nearest tenth 26.2 32.4 39.8 40

Answers

Answer: 39.8

Step-by-step explanation:

I just did it on edge 2021.

Kyle's house has a taxable value of $139,000. His property tax rate is 0.25%. How much will Kyle have to pay in property taxes?
What is the answer????

Answers

Answer:

$347.50

Step-by-step explanation:

0.25% of 139000 = 0.0025 × 139000 = 347.5

Whoever gives me the correct answer to this will get a brainlest
I need the answer ASAP!

Answers

Volume of cone= 1/3πr^2h

8842.24 m^3= 1/3πr^2h

1/3*3.14*33*r^2= 8842.24m^3

r^2 = 8842.24*3/3.14*33

r^2= 26526.72/103.62

r^2 = 256

r= √256

r= 16m

Hope it helps. Please mark brainliest.

Apply the distributive property to create an equivalent expression. 5 × ( − 2 w − 4 )

Answers

Answer:

5(-2w)-(5x4)

Step-by-step explanation:

Answer:

5(-2w)-(5x4)

Step-by-step explanation:                                                                                  Hope this helps Can I be the Branliest?

Tom's Ice Cream Shop sold 7 sundaes with nuts and 5 sundaes without nuts. What is the ratio of the number of sundaes with nuts to the number of sundaes without nuts?

Answers

Answer:

20 : 28

5 : 7 = 20 : 28. And 7 is a fourth of 28.

what is the base if the height is 6ft and the area is 14 ft on a triangle ​

Answers

Answer:

b = 4.66666667

Step-by-step explanation:

The equation for finding the area of a triangle is

0.5b x h = a

b = base

h = height

a = area

So I calculated 14 divided by 6

And got 2.3333333

And since that number is half of the base, I multiplied it by 2

2.333 x 2 ≈ 4.66666667

if 3 more than 5 times a number is seven more than three times that number, what is the result when the number is added to 10

Answers

Answer: 12

Step-by-step explanation:

3 more than 5 times a number = 3+5x

seven more than three times that number = 7+3x

is = "="

Thus,

3 + 5x = 7 + 3x

2x = 4

x = 2

2 + 10 = 12

Hope it helps <3 :)

pls help me for brainless
and 60points

Answers

Answer:

2nd

Step-by-step explanation:

Answer:

the orange one

Step-by-step explanation:

3x^2+x-2

3x^2 cant be broken down more because its a prime number. the only thing that can change is the x^2. the main difference between the blue and orange one is that the blue one has the second sign incorrect.

A.7
B.14
C.19
D.25
help

Answers

Answer:

B is the answer

Step-by-step explanation:

hope this help no explain needed

Simplify the expression using properties of operations.

18t−3−5t+8

Answers

Answer:

13t+5

Step-by-step explanation:

Select all of the equations that have x = 7 as a solution.
x 3= 28
8.x = 56
3+x= 12
x +4= 11.


Pls hurry

Answers

Answer:

B

D

Step-by-step explanation:

19,2,14,8,11,10,4,15 find the mean

Answers

Answer: 10.375

Step-by-step explanation:

mean = average

Finding the average, means you need to add all the numbers up, and then divide it by the total amount.

-------------------------------------------------------------------------------

First Step: add them up

19+2+14+8+11+10+4+15=83

Second Step: count the amount of numbers

8 numbers in total

Third Step: divide the total amount over numbers

83/8=10.375

Hope this helps!! :)

Please let me know if you have any questions

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{When you hear the word \underline{MEAN} think of the question asking for the}\\\large\text{\underline{AVERAGE}. When we find the mean/average we have to ADD}\\\large\text{all of your TERMS, then DIVIDE the total numbers you have!}[/tex]

[tex]\bold{Set: 19,2,14,8,11,10,4,15}\\\bold{Add: 19 + 2+14+8+11+10+4+15}\\\bold{Divide: 8\ because\ thats\ the\ total\ number\ we\ have\ in\ your\ given\ set}[/tex]

[tex]\bold{Equation: \dfrac{19 + 2+14+8+11+10+4+15}{8}}\\\\\bold{Numerator\rightarrow19+ 2+14+8+11+10+4+15}\\\bold{19+2=21}\\\bold{21+14+8+11+10+4+15}\\\bold{21+14=35}\\\bold{35+8+11+10+4+15}\\\bold{35+8=43}\\\bold{43+11+10+4+15}\\\bold{43+11=54}\\\bold{54+10+4+15}\\\bold{54+10=64}\\\bold{64+4+15}\\\bold{64+4=68}\\\bold{68+15}\\\bold{=83}[/tex]

[tex]\bold{Equation: \dfrac{83}{8}}\\\\\large\text{SOLVE above and you will have your answer!}\\\bold{\dfrac{83}{8}=10.375}\\\boxed{\boxed{\large\text{Answer: your MEAN is \bf{10.375}}}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amohitrite1040:)}[/tex]

Someone please help with this asap!! I will mark brainliest if it's right! Serious answers only !!!

Answers

Answer:

1) given

2) given

3) definition of vertical angles

4) AAS

Step-by-step explanation:

1) given

2) given

3) definition of vertical angles

4) AAS

is the answer to the question

Will give brainleist
Find the missing side.

Answers

Answer:

6.4

Step-by-step explanation:

Using Pythagoras Theorem

Where AB^2= AC^2+CB^2

Substitute,

C^2= 5^2+4^2

C2=25+16=41

Square root of √41= 6.4031

NEED HELP ASAP!!!
Use Pythagorean Theorem to solve. Round to the nearest tenth *
7.2 cm
2.1 cm
х

Answers

Answer:

7.5

Step-by-step explanation:

A squared + B squared = C squared

7.2 squared + 2.1 squared = C squared

=7.5

Witch one would you pick


be honest

starbucks, bobo, tallys world , or boba... you pick say in order what your favs and what you get from there

Answers

Answer:

I prefer Starbucks, and I get the Cookies and Cream Frappuccino.

Step-by-step explanation:

Because it taste good

Answer:

Pumpkin spice latte from Starbucks ( when they have it ) or mango boba

Step-by-step explanation:

Hi! need help asap xx

Answers

Answer:

C

Step-by-step explanation:

The 3 triangles are all similar.

Using the 2 inside then the ratios of corresponding sides are equal, that is

[tex]\frac{x}{3}[/tex] = [tex]\frac{12}{x}[/tex] ( cross- multiply )

x² = 36 ( take the square root of both sides )

x = [tex]\sqrt{36}[/tex] = 6 → C

Answer:

C) x = 6

because this is a right triangle

=> we have:

(12² + x²)(3² + x²) = (15x)²

<=> 1296 + 153x² + x⁴ = 225x²

<=> x⁴ - 72x² + 1296 = 0

<=> (x² - 36)² = 0

<=> x² = 36

=> x = 6

OMG PLEASE HELP YOU WILL BE MY SAVIOR

Answers

Answer:

1)A

2)C

3)b

4)D

Step-by-step explanation:

Your welcomeee

Answer:

1. a

2. c

3. a

4. b

Step-by-step explanation:

1. Factor 15x + 35 using the GCF

The GCF (Greatest common factor) between these two numbers is 5. In other words, both 15x and 35 can be divided by 5. So if you divide both by 5 and then multiply it by 5, you will get 5(3x + 7), or "a".

2. Which expression is equivalent to -5(x + 10)?

Multiply the x and 10 by -5. You will get -5x - 50, or "c"

3. Subtract (8x + 6) - (x + 4)

Multiply the second parentheses by -1 (because there is a subtraction sign in front of it. This is the same as + (-1)), and then open the parentheses.

8x + 6 - x - 4

7x + 2, or "a"

4. Add (11x + 2) + (9x - 4)

Open the parentheses

11x + 2 + 9x -4

20x -2, or "b"

Hope this helps! Feel free to ask any questions! :)

a pencil costs 16p and a rubber costs 23p. bob purchases 18 pencils and 12 rubbers. Calculate how much he spends

Answers

Answer:

564p

Step-by-step explanation:

I hope this helps you.

A bicycle store costs ​$2600 per month to operate. The store pays an average of ​$60 per bike. The average selling price of each bicycle is ​$100. How many bicycles must the store sell each month to break​ even?

Answers

you should try dividing
They must sell 65 bicycles

A.42.6 square units
B. 128 square units
C. 32 square units
D. 64 square units

Answers

Answer:

Step-by-step explanation:

D. 64 square units

Can someone help me with this paper?

Answers

Answer:

I'm bored ...............

_________________________ 6​Harry is planning a holiday for 4 people for 7 days. Here are the costs for the holiday for each person. Travel​£150 Hotel​£50 for each day Spending money​£250 Work out the total cost of the holiday for 4 people for 7 days.

Answers

Answer: $3,000

Step-by-step explanation:

The cost for a single person is:

Travel      £150

Hotel       £50 for each day

Spending money       £250

Hotel is the only one that changes per the number of days so the total cost for a single person for 7 days is:

= 150 + (50 * 7) + 250

= 150 + 350 + 250

= $750

There are 4 people so the total cost will be:

= 750 * 4 people

= $3,000

on monday two hundred thirty-four students went on a trip to the zoo. All five buses were filled and four students had to travel on cars. How many students were in each bus?

Answers

Answer: 46 students on each bus

Step-by-step explanation:

234-4=230

230/5=46

Determine whether the function is proportional or nonproportional. y = 3x -
1*
May someone please explain how to do this

Answers

Answer:

y=1/2x

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form  or

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Verify each case

1 over 8 as a negative exponent

Answers

Answer:

8⁻¹

Step-by-step explanation:

1/x = x⁻¹

8^-1 is the answer......

which point 1 on the number line?
0
1/6
A
B
C
D
Choose 1 answer
A
B
C
D

Answers

Answer:

kind of confusing to read

Step-by-step explanation:

PLZ HELP ME AND HURRRY

Answers

Answer:

for the third question y = 5, x = 3

Step-by-step explanation:

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