Mathematics High School

Write a linear function f with the values f (3) = -1 and f (6) = 1.
A function is f (x) =

Answers

Answer 1

Answer:

132

Step-by-step explanation:

Answer 2

The linear equation for the function is f ( x ) = y = ( 2/3 ) x - 3

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation be f ( x ) = y

Now , the value of the function f ( 3 ) is given in the equation as

f ( 3 ) = -1

And the value of the function f ( 6 ) is given in the equation as

f ( 6 ) = 1

So ,

when x = 3 , y = -1

and when x = 6 , y = 1

Now , we have two points A ( x₁ , y₁ ) and B ( x₂ , y₂ )

A ( x₁ , y₁ ) = A ( 3 , -1 )

B ( x₂ , y₂ ) = B ( 6 , 1 )

Now ,

To find the slope of the equation , we use

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values , we get

Slope m = ( 1 - ( -1 ) ) / ( 6 - 3 )

              = 2 / 3

Now , the equation of line will be y - y₁ = m ( x - x₁ ) ,

So , substituting the value of m , we get

y - ( -1 ) = ( 2/3 ) ( x - 3 )

y + 1 = ( 2/3 )x - 2

Subtracting 1 on both sides , we get

y = ( 2/3 )x - 3

Therefore , the equation of line will be y = ( 2/3 )x - 3

Hence , The linear equation for the function is f ( x ) = y = ( 2/3 ) x - 3

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Related Questions

Another customer calls you wanting to know how much fence they should install around the circumference of their circular garden if they bought 204 feet² of topsoil. Assume the customer created a circle out of the soil and calculate the circumference in linear feet. Remember you’ll need to calculate the radius first, then use it to calculate the circumference.

Answers

Answer- 50.63

A= πr^2
A is 204 so 204= πr^2
Make are R the subject and the answer of the radius will be 8.06.
The equation for circumference is 2 πr and now we have R so just substitute it into the equation and the answer is 50.63

Destiny spent $12.00 of the $20.00 in her wallet.Write a decimal and percent that represents the fraction of the $20.00 that denstiny spent

Answers

Answer:

40% and 0.4

Step-by-step explanation:

The answer is ‘’0.6 and 60% ‘’ that represents the fraction of the $20.00 that Destiny spent

value of -2 ( x + 5 )

Answers

(-2x - 10)

i am smart

Perform the indicated operations:



4−1−4
05−2
0810
−7
−11
22





4−1−4
0ab
0cd
−7
88
110


a =
, b =
, c =
, d =

Answers

Answer:

A= -40

B= 16

C= 40

D= 50

Step-by-step explanation:

The values of the matrix is a = -40, b = 16, c = 40, d = 50.

What is a matrix?

A matrix is an arrangement of numbers, expressions or symbols arranged in rows and columns as a rectangular array. These rows and columns define the size or dimension of a matrix.

For the given situation,

The matrix is

[tex]\left[\begin{array}{ccc}4&-1&-4\\0&5&-2\\0&8&10\end{array}\right] = \left[\begin{array}{c}-7&-11&22\end{array}\right][/tex]

The operation on matrix is

[tex]-8R2- > R2[/tex] and

[tex]5R3- > R3[/tex]

⇒ [tex]\left[\begin{array}{ccc}4&-1&-4\\0&-40&16\\0&40&50\end{array}\right] = \left[\begin{array}{c}-7&88&110\end{array}\right][/tex]

On comparing this equation with the given equation,

[tex]a=-40, b=16, c=40, d=50[/tex]

Hence we can conclude that the values of the matrix is a = -40, b = 16,     c = 40, d = 50.

Learn more about matrices here

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PLEASE HELP WITHIN 1 hr

Answers

Hey I can’t do everything cause I need to help my mum so I’ll do as much as I can so 1). -16
2). -25
3). 1
4). 4
All you need to do is get a calculator and find out how fast they can run by putting the equation given

hey i need that special someone, 7th grade, 13, somewhat a lil older could be fine,also imma a girl, but yk yeah hmu...

Answers

Answer:

mf you are asking this in high school.

Step-by-step explanation:

Write an equation with a variable for the diagram. What is the value of y?

Answers

Answer:

Y=18

Step-by-step explanation:

18+13=30 30*3=90

3(y+12)=90
90-36=54
3y=54
y=18

Texas is home to about 70% of the 47 species of bats in the United States. About how many species of bats live in Texas?​

Answers

Answer:

33

Step-by-step explanation:

70% of 47 is 33 species

Answer:

32.9

Step-by-step explanation:

7 x 5/6 simplify if possible

Answers

Answer:

5 5/6 or 5.83Step-by-step explanation:

To answer make the whole number a fraction.

7/1 x 5/6 = 35/6

To simplify 35/6 see how many times 6 can go into 35. The answer to this is 5. So there is 5/6 left. The answer is 5 5/6.

Have a nice day! Hope this helps!

Directions: Calculate the volume of the box in the diagram.

Answers

Answer:

6cm^3

Step-by-step explanation:

V = l*w*h

........... ....

Answer:

6

Step-by-step explanation:

3 times 2 =6

6 times 1 =6cm3 (cubed)

Find the measure of each interior angle and each exterior angle of a regular pentagon.
The measure of each interior angle is
and the measure of each exterior angle is

Answers

Answer:

hope you like it so can you make me brainlest pls

A shoe store owner uses a 15 percent markup on the merchandise. At what price will she sell shoes that were purchased for $35?

Answers

Answer:

$40.25

Step-by-step explanation:

35 increase 15% =

35 × (1 + 15%) = 35 × (1 + 0.15) = 40.25

a bakery sold 123 chocolate cupcakes in a day, which was 41% of the total number of cupcakes sold that day. how many total cupcakes did the bakery sell that day?​

Answers

Answer:

300

Step-by-step explanation:

took the test adn this is right now PLEASE MARK BRAINLIEST

Answer:

they sold 300 cupcakes

Step-by-step explanation:

please mark brainliest

EF is the midsegment of trapezoid ABCD with AB=12.6, EF=8.8 and DC=x. Determine
the value of x.
PLSSSSS HELPPP ASAPPP

Answers

Answer:

C. 5

Step-by-step explanation:

Midsegment is the half of the sum of the bases:

EF = 1/2(AB + DC)8.8 = 1/2(12.6 + x)12.6 + x = 2*8.8x = 17.6 - 12.6x = 5

Correct option is C

Quick check 3
Find slope

Answers

Answer:

I believe its C.

Step-by-step explanation:

Slope is always y over x. Since the numbers are positive, i believe its C

The food bill came to 22$. If you wanted to leave a 20% tip, how much money would you leave for the tip? (Very urgent!)

Answers

Answer:

it would come out to $4.40

Answer:

$4.40

Step-by-step explanation:

-11 -z
evaluate the expression if x=-8 , y=7 , and z=-11

Answers

Answer:

-8-(-11)-7

= -8+11-7

= 3-7

= -4

Step-by-step explanation:

The smiths bill at a restaurant is $85 how much money should Mr. Smith leave as a tip if he plans to tip 20%

Answers

Answer:

102.00

Step-by-step explanation:

If you want to leave a 20% tip, multiply the cost by 0.20 to get the tip amount or multiply the cost by 1.20 to get the total including tip. If you want to leave a 18% tip, multiply the cost by 0.18 to get the tip amount or multiply the cost by 1.18 to get the total including tip.

Answer: Mr. Smith should tip $17

Step-by-step explanation:

20% = 0.2

$85 × 0.2 = $17

3.
Is this relation a function?
A.
Yes
B.
No

Answers

Answer:

Yes

Step-by-step explanation:

There are not multiple of the same Y-values so it is a function.

Can someone please help me?:)


i dont know how to do this question can you please explain how to
​

Answers

Answer:

84

Step-by-step explanation:

the perimeter is basically all the way round a shape

P=2l+2d2﹣l2 for the diagnol

ZOOM IN IF YOU CANT SEE THE PIC I NEED HELP ASAP

Answers

Answer:

5/9

Step-by-step explanation:

Answer:

i think 5/9

Step-by-step explanation:

Solve the system by substitution.
y = -3x +4
y = x

Answers

Answer:

4

Step-by-step explanation:

divide 72 pens between Sarah and Amina is the ratio 4:5.

Answers

Answer:

Sarah gets 32 pens and Amina gets 40 pens

Step-by-step explanation:

72 pens

4/9×72 = 4×8 =32

Sarah gets 32 pens

5/9×72=5×8=49

Amina gets 40 pens

hope it helped

Which of the following functions shows the absolute value parent function
F(x) = [xl, vertically compressed?
O A. G(x) = 14x1
B. G(x) = 12.5x1
C. G(x) = x1
D. G(x) = 10x1

Answers

B maybe.... if not sorry

The function which represent the absolute value is G ( x ) = a|x| , where the value of a < 1

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 ) = | x |

This function is symmetric with respect to the y-axis and has a V-shape, with the vertex at (0,0).

To vertically compress the function, we can multiply the function by a constant value less than 1.

And , the function that shows the absolute value parent function f(x) vertically compressed is:

G ( x ) = a| x |, where 0 < a < 1

The value of "a" determines the degree of compression of the function. The smaller the value of "a", the greater the degree of compression.

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two parallel roads, Elm Street and Oak Street, are crossed by a third, Walnut Street, as shown in diagram. The value of X is​

Answers

Answer:

x=16

Step-by-step explanation:

2x + 33 = 5x - 15 (Alternate Interior Angles)

33 + 15 = 5x - 2x

48 = 3x

x= 48/3 = 16

(5x-15)°+ (2x+33)°= 180°
+15° +15°
5x + 2x+ 48°= 180°
-2x -2x
3x+48°=180°
-48° -48°
3x = 132°
divide by 3
x= 44

a. True/False
To complete the square on the left side of the equation x2 - 6x = 9,
you must subtract the number 9 from both sides.

Answers

Answer:

True

Step-by-step explanation:

[tex]x^{2} -6x=9[/tex]

subtract [tex]9[/tex] from both sides

[tex]x^{2} -6x-9[/tex]

plz mark me brainliest. ;)

The puppy weighed 2 pounds when it was born. He has gained weight, but still weighs less than 11 pounds. How much weight could he have gained?

Answers

3-10 pounds
because it has to be more than 2 pounds and less than 11. hope it helps

Please, please help. (no fake answers please)

Answers

Answer:

13

Step-by-step explanation:

plug each number in for each variable

(24(1/2) + 2(7)) / (1/4)(8)

simplify

(24/2 + 14) / (8/4)

simplify

12+14/2

simplify

26/2

simplify

13

An airplane on autopilot took 9 hours to travel 6552 kilometers. What is the unit rate for kilometers per​ hour?

Answers

Answer:

695 km and hour

Step-by-step explanation:

Last year, Kaitlin opened an investment account with $8600. At the end of the year, the amount in the account had decreased by 28%. (a) Fill in the blank to write the year-end amount in terms of the original amount. Write your answer as a decimal. Year-end amount = 1 x Original amount​

Answers

Answer:

Kaitlin's account will have 72% of the money initially invested, that is, about $ 6,192.

Step-by-step explanation:

Given that last year Kaitlin opened an investment account with $ 8,600, and at the end of the year, the amount in the account had decreased by 28%, to determine the year-end amount in terms of the original amount both in whole numbers and in decimals, the following calculation must be performed:

100 - 28 = 72

8,600 x 0.72 = X

6.192 = X

Thus, Kaitlin's account will have 72% of the money initially invested, that is, about $ 6,192.

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