Choose a linear function for the line represented by the point-slope equation y-5= 3(x - 2).
f(x) = 3x + 1
f(x) = 3x - 1
f(x) = 8x + 10
f(x) = 8x – 10

Answers

Answer 1

f(x) = 3x - 1 is the linear function for the line represented by the point-slope equation

Solution:

Given point slope equation is:

[tex]y - 5 = 3(x-2)[/tex]

We have to find the linear function for the line

The formula y = mx + b is said to be a linear function

Rearrange the given equation

[tex]y - 5 = 3(x-2)\\\\y - 5 = 3x - 6\\\\Move\ the\ varibale\ y\ to\ one\ side\ and\ constants\ and\ x\ to\ other\ side\\\\y = 3x - 6 + 5\\\\y = 3x - 1[/tex]

Let y = f(x)

Then we get,

f(x) = 3x - 1

Thus the linear function is found

Answer 2

Answer:

the answer will be B. f(x)=3x-1


Related Questions

Which polygon appears to be regular?

Figure A

Figure B

Figure C

Figure D

Answers

Answer:

the answer is D

Step-by-step explanation:

the answer is D

Answer: Yeah It's D

Step-by-step explanation:  It's D

Greatest common factor of 16k - 24

Answers

Answer:

8

Step-by-step explanation:

Final answer:

The greatest common factor of 16k - 24 is 8.

Explanation:

The first step to find the greatest common factor (GCF) of 16k - 24 is to factor out any common terms. In this case, both 16k and 24 are divisible by 8, so we can factor out an 8: 8(2k - 3). Now, we need to look at the expression inside the parentheses, 2k - 3, and try to factor out any common terms. However, since 2k - 3 does not have any common factors, the GCF of 16k - 24 is simply 8.

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A triangle has sides with lengths of 35 meters, 84 meters, and 91 meters. Is it a right triangle?
Yes or No

Answers

Answer: No

Step-by-step explanation:

The reason that it is not a right triangle is because there isn't an angle that is equal to 90 degrees

Answer:

ANswer is YES i trued it On IXL and it was yes

Step-by-step explanation:

1/3 of 5th grade class absent there were 4 students absent. How many students in class

Answers

Answer:

8

Step-by-step explanation:

3x4=12

12x1/3=4

12-4=8

Answer:

12 students are in that class, 8 of them are present

Step-by-step explanation:

1/3 of the class = 4

1/3 * 3 = the whole class

4 * 3 = 12 = the whole class

Lines a and b are parallel. What is the measure of angle 3 if angle 6 measures 84

Answers

Answer:

angle 3 is 84 degree

Step-by-step explanation:

because angle 3 and angle 6 are equal

how do you simplify this expression (x+2)-(x-2)-12x

Answers

Answer:

−12x + 4

Step-by-step explanation:

1. Remove parentheses

x + 2 − x + 2 − 12x

2. Collect like terms.

(x − x − 12x) + (2 + 2)

3. Simplify.

−12x + 4

Answer:

Step-by-step explanation:

(x+2)-(x-2)-12x

x+2-x+2-12x

x+4-13x

-12x+4

=4(3x-1)

There are 22 people in a room, if everyone shakes everyone else’s hand exactly one time, how many handshakes would that be total?

Answers

There will be 231 handshakes in total

Solution:

There are 22 people in a room

Everyone shakes everyone else’s hand exactly one time

To find: Total number of handshakes in total

Let,

n = total number of people that will shake hands

but since all (total) can't shake hands with themselves, hence we subtract one individual to start the handshaking

(n - 1) = people would each shake hands

hence we multiply both total number persons with people that will shake hands;

n(n - 1)

but that counts every handshake twice, so we have to divide by 2

Therefore;

[tex]\frac{n(n-1)}{2}[/tex]

Here, n = 22

[tex]\frac{n(n-1)}{2} = \frac{22(22-1)}{2} = 11 \times 21 = 231[/tex]

Thus there will be 231 handshakes in total

What is 4 1/3 ft. In inches

Answers

Answer:

52 inches

Step-by-step explanation:

1ft= 12inches

4times 12=48 1/3of 12=4 48+4=52

The answer is about 52 inches.

Here’s another one I don’t understand, please give me the answer and explain how you got it

Answers

Answer:

39 degrees

Step-by-step explanation:

The angle of a straight line is 180 degrees. This is constant and will never change. You will add 57 and 84 to get 141 degrees for <LMP.  Take 180-141 to get 39 degrees for <PMN

what is 5/2 as a decimal

Answers

Answer:

the decimal is 2.5

Answer: 5/2=2.5

Step-by-step explanation:

How I got this answer is how many times 5 can go into 2 or 5 divided by 2. So 5 divided by 2 is 2.5.

Please help! Give the answer and how you got it, i have a test tomorrow!!

Answers

Answer:

56.25

Step-by-step explanation:

We know that both of the angles m<KPN and m<OPN must add up to 90 degrees

We can create an equation as follows

[tex]90=(3x)+(x+15)\\90=4x+15\\75=4x\\x=75/4\\m<KPN = 3x = 3*\frac{75}{4} = 56.25[/tex]

Please help. A 32-pound box of cantaloupe costs 24.40. How much would a 12-pound box cost?

Answers

Answer:

I believe it should be $9.15

Step-by-step explanation:

Answer:

$9.15

Step-by-step explanation:

lets find the cost of 1-pound box first

is 32-pound box cost $24.40

then 1-pound box will cost $ 24.40 / 32 = $0.7625

To find how much a 12-pound box will cost, we'll simply multiply the cost of 1-pound box by 12

$0.7625 * 12= $9.15

Which equation is modeled below

Answers

Answer:

what equation there isn't one

Answer:

A or -x + 1 = 2 x + 3

Step-by-step explanation:

I got this for one of my test answers, but you did not include a picture so I'm not sure is this is the correct one

If you invested $500 at 5% simple interest for 2 years, how much interest do you earn? Show work and answer in complete sentences to earn full credit.




If you invest $500 at 3% compounded monthly for 2 years, how much interest you do earn? Show work and answer in complete sentences to earn full credit.




Which would you rather do?

Answers

Therefore I earn $50 interest

Therefore I earn $30.88 interest.

I would do the first one.

Step-by-step explanation:

A.

Given , I invested $500 at 5% simple interest for 2 years.

P=$500,  r =5% and t = 2 years

[tex]Interest (I) =\frac{P \times r \times t}{100}[/tex]

                  [tex]=\$\frac{500 \times 5 \times 2}{100}[/tex]

                   =$50

Therefore I earn $50 interest.

B.

Given , I invested $500 at 3% compounded monthly for 2 years.

P=$500,  r =3% = 0.03 and t = 2 years

[tex]Amount (A) =P(1+\frac{r}{n})^{nt}[/tex]  

                   [tex]=\$500(1+\frac{0.03}{12})^{ 2\times 12}[/tex]

                   =$530.88

Interest = $(530.88-530) = $30.88

I would do the first one.

Which number is greater?
a) 1.204×10^24
b)3.01×10^23

I need the answer ASAP​

Answers

The answer will be number (a).

Yo sup??

This question can only be solved when the power of 10 in both the numbers is same.

therefore we can express the two numbers as

12.04*10^23 and 3.01*10^23

Clearly we can now say that a>b

Hence a is greater

Hope this helps.

Plot the points (–4, –3), (–3, –5), (0, –4), (0, 3), and (–2, 3) and connect them to form a polygon. What is the length of the vertical side? 2 units 3 units 6 units 7 units

Answers

Answer:

7 units  

Step-by-step explanation:

I plotted your points to form the polygon in the diagram below.

The vertical side joins the points (0 ,3) and (0, -4).

The vertical distance between them is

3 - (-4) = 3 + 4 = 7

The length of the vertical side is 7 units.

Answer:

7 units

Step-by-step explanation:


Find the sum of (3x2 + 16x + 9) and (−16x − 12)

Answers

Answer:

3

Step-by-step explanation:

(3*2 + 16x +9) + (-16x -12)

6 + 16x + 9 -16x -12

3

A metalworker has a metal alloy that is 15​% copper and another alloy that is 75​% copper. How many kilograms of each alloy should the metalworker combine to create 120 kg of a 51​% copper​ alloy?

Answers

48 kilograms of 15 % copper is combined with 72 kilograms of 75 % copper to create 120 kg of a 51​% copper​ alloy

Solution:

Let "x" be the kilograms of 15 % copper

Then, (120 - x) be the kilograms of 75 % copper

Then, according to question,

"x" kilograms of 15 % copper is combined with (120 - x) kilograms of 75 % copper to create 120 kg of a 51​% copper​ alloy

Thus we frame a equation as:

15 % of x + 75 % of (120 - x) = 51 % of 120

Solve the equation for "x"

[tex]15 \% \times x + 75 \% \times (120-x) = 51 \% \times 120\\\\\frac{15}{100} \times x + \frac{75}{100} \times (120-x) = \frac{51}{100} \times 120\\\\0.15x + 0.75(120-x) = 0.51 \times 120\\\\0.15x + 90 - 0.75x = 61.2\\\\0.6x = 90 - 61.2\\\\0.6x = 28.8\\\\Divide\ both\ sides\ by\ 0.6\\\\x = 48[/tex]

Thus 48 kilograms of 15 % copper used

Then, (120 - x) = (120 - 48) = 72

Thus, 72 kilograms of 75 % copper is used

Can someone do question 13 please

Answers

Answer:

A = 4/7

B = 2/3

C = 2/5

Step-by-step explanation:

It's Easy.

Answer:

A is 4/7

B is 2/3

C is 2/5

Step-by-step explanation:

7th Grade Math Help. I keep getting a different answer than from the ones on there.

Answers

Answer:

100 apples are covered in sprinkles

I don’t know how to solve this

Answers

Answer:

y = [tex]\frac{1}{4}[/tex] x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) =( 8, - 3) and (x₂, y₂ ) = (0, - 5)

m = [tex]\frac{-5+3}{0-8}[/tex] = [tex]\frac{-2}{-8}[/tex] = [tex]\frac{1}{4}[/tex]

Note the line crosses the y- axis at (0, - 5 ) ⇒ c = - 5

y = [tex]\frac{1}{4}[/tex] x - 5 ← equation of line

[tex] \frac{y - y1}{y2 - y1} = \frac{x - x1}{x2 - x1} \\ \frac{y - ( - 3)}{ - 5 - ( - 3)} = \frac{x - 8}{0 - 8} \\ \frac{y + 3}{ - 2} = \frac{x - 8}{ - 8} \\ - 8(y + 3) = - 2(x - 8) \\ - 8y - 24 = - 2x + 16 \\ 2x - 8y = 40[/tex]

1. This season, a basketball player has made 34 of 47 free
throws. What is his free throw percentage?

Answers

The free throw percentage is 72.34 %

Solution:

Given that, This season, a basketball player has made 34 of 47 free  throws

To find: Free throw percentage

The formula used is:

[tex]\text{Free throw percentage} = \frac{\text{number of throws by basketball player}}{\text{total number of throws}} \times 100[/tex]

From given,

Number of throws by basket player = 34

Total number of throws = 47

Therefore,

[tex]\text{Free throw percentage} = \frac{34}{47} \times 100\\\\\text{Free throw percentage} = 0.7234 \times 100\\\\\text{Free throw percentage} =72.34[/tex]

Thus free throw percentage is 72.34 %

Find the equation of the line.
y=__x+__

PLEASE HELP THIS IS DUE TODAY!! D:

Answers

Answer:y=3/4x-2
(I’m an expert of this)

Answer:

aaf ducks chicks h.c Khan ffc blackjack wUtah's hands perches yachts

An algebraic equation is an equation that includes:
a no variables
b. only one variable
С.
one or more variables
just numbers
Please select the best answer from the choices provided

Answers

Answer:

ç

Step-by-step explanation:

fufujphgfhjunkksbkbbdkdbkdldbdjdbdkdjjdkdmdljdbdivdjbdkd

It would be C i Believe

Where do you add the parentheses in this equation?

3 + 6 × 5 + 4÷2 - 7

Answers

Answer: to get to what answer

Step-by-step explanation:

3+(6*5)+(4/2)-7 remember that you always multiply/divide stuff before you add or subtract

The leas been $31 on a movie ticket for two adults and three children the Smiths Station $26 on a movie ticket for two adults and two children what are the prices for an adult and child movie ticket

Answers

Answer:

Adults: $8

Children: $5

Step-by-step explanation:

First Step:

Let's represent The leas by: 2A + 3C = 31

Let's represent The Smiths Station by: 2A+2C=26

Second step:

Solve The leas expression for A → 2A + 3C = 31

[tex]A =\frac{31-3C}{2}[/tex]

Third step:

Replace A on The Smiths Station and solve for C:

2([tex]\frac{31-3c}{2}[/tex]) + 2C = 26

31-3C+2C = 26

31-C=26

31-26 = C

C= 5

Fourth step:

Replace C=5 in expression [tex]A =\frac{31-3C}{2}[/tex]

A = [tex]\frac{31-3*5}{2}[/tex] →→ A=[tex]\frac{31-15}{2}[/tex]  →→ A=[tex]\frac{16}{2}[/tex]  →→ A= 8

Given the system of equations, what is the solution?



3x - 2y + 10 = 0

5y = 4x + 8
{(-34/7, -16/7)}
{(-34/7, 16/7)}
{(34/7, -16/7)}

Answers

Answer:

{(-34/7, -16/7)}

Step-by-step explanation:

Rearrange values, multiply to solve for x.

(5) 2y = 3x + 10

(-2) 5y = 4x + 8

Solve for x.

10y = 15x + 50 ↓

-10y = -8x -16

Combine and evaluate.

0 = 7x + 34

Subtract 34 from both sides.

7x = -34

Divide both sides by 7.

x = [tex]\frac{-34}{7}[/tex]

Plugin x value into either equation to solve for y.

2y = (3 × [tex]\frac{-34}{7}[/tex]) + 10

2y =  [tex]\frac{-106}{7}[/tex] + 10

2y = [tex]\frac{-32}{7}[/tex]

y = [tex]\frac{-16}{7}[/tex]

Final answer:

By rewriting one equation to isolate y and substituting it into the other, the solution to the system of equations is determined to be {(-34/7, 16/7)}.

Explanation:

The solution to the system of equations provided is found by solving the equations simultaneously. We begin by expressing the second equation in terms of y:

Rewrite the second equation:

5y = 4x + 8

y = (4/5)x + 8/5.

Substitute y in the first equation:

3x - 2((4/5)x + 8/5) + 10 = 0.

Simplify and solve for x:

(3 - 8/5)x + (10 - 16/5) = 0

which gives us-

x = -34/7

Substitute x back into y = (4/5)x + 8/5 to find

y = 16/7

Thus, the solution to the system of equations is {(-34/7, 16/7)}.

8r + 12p - 7 - 3p = ?

Answers

Answer:

9p+8r-7

Step-by-step explanation:

1) subtract like terms: 12p-3p=9p

2) add unlike terms: 8r+9p -7

The given algebraic expression can be simplified as 8r+9p-7.

The given expression is 8r+12p-7-3p.

To simplify algebraic expression, simplify like terms in it.

In the given expression group the like terms, that is

8r+12p-3p-7

=8r+9p-7

Therefore, the given algebraic expression can be simplified as 8r+9p-7.

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mass of a spherical grape is 8.4 grams and
The volume of an object is equal to the ratio of its mass to density,
its density is 2 grams per cubic centimeter.
What is the radius of the grape? Round to the nearest tenth of a centimeter.
O 1.0 cm
O 1.5 cm
O 1.9 cm
O 21 cm

Answers

The radius of grape is 1 cm

Solution:

Given that,

The volume of an object is equal to the ratio of its mass to density

[tex]Volume = \frac{mass}{density}[/tex]

From given,

Mass = 8.4 grams

Density = 2 grams per cubic centimeter

Substituting in above formula,

[tex]Volume = \frac{8.4}{2} = 4.2\ cm^3[/tex]

Given is a spherical grape

The formula for volume of sphere is given as:

[tex]Volume = \frac{4}{3} \pi r^3[/tex]

Where, "r" is the radius of sphere

[tex]4.2 = \frac{4}{3} \times 3.14 \times r^3\\\\4.2 = 4.187 \times r^3\\\\r^3 = \frac{4.2}{4.187}\\\\r^3 = 1.003\\\\\text{Take cube root on both sides}\\\\r = 1.000999 \approx 1[/tex]

Thus the radius of grape is 1 cm

Answer:

1.0 cm

Step-by-step explanation:

Simplify this expression 1-c+4c-29​

Answers

Answer:

3c-28

Step-by-step explanation:

Answer:-28+3c

Step-by-step explanation:

1)combine like factors

1-29=-28

-c+4c=3c

-28+3c

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