Write a linear function with the values f(0) = 5 and f(-3) = 6

Answers

Answer 1

Answer:

You are given two points, (0,6) and (3,-3), so use the two-point formula for the equation of a line:

y - y1 = ( (y2 - y1) / (x2 - x1) ) (x - x1)

y - 6 = ( -9 / 3 ) (x - 0)

y - 6 = -3x

y = -3x + 6 This is: y = mx+b

Step-by-step explanation:

hope this will help you..

Answer 2

The linear function with the values f(0) = 5 and f(-3) = 6 is [tex]y=\frac{-1}{3}x+5[/tex]

The given functions are:

f(0)  =  5

f(-3)  =  6

That is, x₁ = 0,  y₁ = 5, x₂ = -3, y₂ = 6

The slope of the linear function is calculated as:

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{6-5}{-3-0} \\\\m=\frac{-1}{3}[/tex]

The equation of a line is given as:

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

[tex]y-5=\frac{-1}{3}(x-0)\\\\y-5= \frac{-1}{3}x\\\\y=\frac{-1}{3}x+5[/tex]

The linear function with the values f(0) = 5 and f(-3) = 6 is [tex]y=\frac{-1}{3}x+5[/tex]

Learn more on linear function here: https://brainly.com/question/18201178


Related Questions

Find the midpoint of the line segment with end coordinates of (2,0) and (8,8)

Answers

Answer:

(5,4)

Step-by-step explanation:

[tex]Midpoint = \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(2,\:0\right),\:\\\left(x_2,\:y_2\right)=\left(8,\:8\right)\\\\=\left(\frac{8+2}{2},\:\frac{8+0}{2}\right)\\\\=(\frac{10}{2} , \frac{8}{2} )\\\\Simplify\\\\(5,4)[/tex]

Answer:

(5,4)

Step-by-step explanation:

Write an equation of the line in standard form.
The line has the same slope as 3x-y=5 and the same y-intercept as the graph of 2y- 15x = 8.
The equation in standard form is

Answers

Answer:

Ok to make this easier for us we should switch these equations into y=mx+b so that it's easier for us to identify the slope and y-intercept:

to switch into y=mx+b form do this:

3x-y=5

-y=5-3x

y=-5+3x

y=3x+(-5)

2y-15x=8

2y=8+15x

y=4+7 1/2x

y=7 1/2x+4

THe slope of any line in y=mx+b form is m. Therefore in this equation:

y=3x+(-5)     3 is the slope

The y intercept of any line is the +b:

y=7 1/2x+4 -therefore 4 in this equation is our y intercept.

Now we can construct our equation in y=mx+b then into standard form (Ax+By=C)

since 3 is our slope and 4 is our y intercept the equatuon is :

y=3x+4

NOw all we need to do is move this into standard form:

y=3x+4

-3x+y=4

-3x+y=4 is your final answer

-hope this helped

Step-by-step explanation:

Yasmine needs to create invites for a party. She has 3/4 of an hour to make the invites. It takes her 1/12 of an hour to make each card. How many invites can she create. Use a model to represent the qutient

Answers

(3/4) / (1/12)
= (3/4) * 12
= 36/4
= 9
She can create 9

PLEASE HELP QUICK!!!!! WILL GIVE BRAINIEST!!!!!

Answers

Answer:

-2

Step-by-step explanation:

its -2 cuz to find the slope the equation is the second y - the first y over the second x - the first x so -5 - 5 is 10 over 3 - -2 is 5 so it would be -10/5 which simplifies to -2

What is the domain and range? Is the relation a function? Explain why or why not. {(2, 0), (5.0), (0.5), (0, 2)}​

Answers

Answer:

Domain: {0, 2, 5}

Range: {0, 2, 5}

The relation is not a function since the 0 appears more than once as an x-coordinate.

Step-by-step explanation:

The domain is the set of the x-coordinates.

The range is the set of the y-coordinates.

If any value appears more than once as an x-coordinate, it is not a function.

Domain: {0, 2, 5}

Range: {0, 2, 5}

The relation is not a function since the 0 appears more than once as an x-coordinate.

helpppp plesase ASAP​

Answers

Ooooooooooooooooop I don’t even know

4.048 divided by 0.88​

Answers

Answer:

4.6

Step-by-step explanation:

source; calculator .com

Answer:

0.528

Step-by-step explanation:

if you do the math youll get 0.528

Please help! I think they domain is [-5,-1) u [1,5) but I’m not sure about the range.

Answers

Domain is [-5, -1) u [1,5)
Range is (0,4)

A unicorn whose mass is 65 kg is moving at a speed of 4 m/s. What is the unicorn's kinetic energy?

Answers

Answer:

[tex]KE = 520 J[/tex]

Step-by-step explanation:

[tex]KE=\frac{1}{2}mv^2\\KE=\frac{1}{2}*65*4^2\\KE=\frac{1}{2}*65*16\\\\KE=520J[/tex]

What is 9 - 3 ÷ 1/3 + 1 Please show work

Answers

Answer:

answer

Step-by-step explanation:

9-3 = 6

6  divided by  1/3  is (3x6) = 18

18 + 1 = 19

Answer:

the answer is 19

Step-by-step explanation:

find the value of x. A.12 B.30 C.9 D. 21.75

Answers

Answer:

i need help my self keep trying

Step-by-step explanation:

40 POINTS HELP ME! I NEED HELP WITH THIS !!

Answers

Answer:

1 pair of wings = 3/4 yard fabric

We know that 1 yard of fabric = $8

1 pair of wings = $8 x 3/4 = $6

Therefore total cost = $6 x 13 = $78

Step-by-step explanation:

Which is equivalent to 2.3(-2x + 9.1) + 9(3.4x - 8)?
A. 26x - 51.07
B. 26x + 92.93
C. 35.2x - 51.07
D. 35.2x + 92.93

Answers

The answer is a I did the math trust me

pleaseee help meee!!!!!!! :)

Answers

Answer:

the answer to your question is (1,-2)

Answer: y=2x-1

This is the answer

Step-by-step explanation:

I fix the answer

Find all the numbers such that one-third of the number is at most five.

Answers

x=30
10=10
checking:
1/3(30)=1/2(30)-5

Order from greatest to least : 0.8; 8.83; 0.083; 80.83

Answers

Answer:

ok

Step-by-step explanation:

0.083,80.83,8.83,0.8

Hope that helps you.

Find the quotient: (16x + 24x2) = 2x

Answers

Answer:

48x=2x

Step-by-step explanation:

im big brain can i get brainilest

Write the equation of a line that is perpendicular to y=2/7x +9 and that passes through the point (4,-6).

Answers

Answer:

[tex]y=-\frac{7}{2}x+8[/tex]

Step-by-step explanation:

Given the equation

[tex]y\:=\:\frac{2}{7}x+9[/tex]

comparing the equation with the slope-intercept form

[tex]y =mx+b[/tex]            

Here,

m is the slope y is the intercept

so the slope of the line is 2/7

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so

the slope of the perpendicular line will be: -7/2

Therefore, the point-slope form of the equation of the perpendicular line that goes through (4,-6) is:

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

[tex]y-\left(-6\right)=\frac{-7}{2}\left(x-4\right)[/tex]

[tex]y+6=\frac{-7}{2}\left(x-4\right)[/tex]

[tex]y+6-6=\frac{-7}{2}\left(x-4\right)-6[/tex]

[tex]y=-\frac{7}{2}x+8[/tex]

Ned is riding his bike from his house to the park, both of which are on the same straight road. On his way, he stops at a store, which is 47 of the way to the park, and then bikes the remaining 0.6 mile to the park. What is the distance between Ned's home and the park?

Answers

Complete question :

Ned is riding his bike from his house to the park, both of which are on the same straight road. On his way, he stops at a store, which is 4/7 of the way to the park, and then bikes the remaining 0.6 mile to the park. What is the distance between Ned's home and the park?

Answer:

1.4 miles

Step-by-step explanation:

Given that :

Ned's home and park are on the same straight road :

Store where Ned stopped is 4/7 of the way to the park

Bikes the remaining 0.6 miles to the park

Hence after traveling 4/7 of the distance, distance to park is 0.6 miles

Hence, 1 - 4/7 = 3/7

Hence, 3/7 of the way = 0.6 miles

If 3/7 = 0.6 miles

Then, 1 = x

Cross multiply

3/7 x = 0.6

3x = 4.2

x = 4.2 / 3

x = 1.4 miles

The distance from Ned's home to park is 1.4 miles

The distance between Ned's home and the park is 1.4 miles.

Ned is riding his bike from his house to the park, both of which are on the same straight road.

At some point between the way to the park, he covered [tex]\dfrac{4}{7}[/tex] of total distance and the destiny is still remained by 0.6 mile.

The fraction of the distance yet to be covered is,

[tex]\begin{aligned}\rm{Remaining\;distance}&=1-\dfrac{4}{7}\\&=\dfrac{7-4}{7}\\&=\dfrac{3}{7} \end{aligned}[/tex]

Now, the remaining distance is given that is 0.6 mile.

Therefore,

[tex]\begin{aligned}\dfrac{3}{7} \times \rm{Total \;distance}&=0.6\\\rm{Total \;distance}&=1.4\;\rm{miles} \end{aligned}[/tex]

Thus, the distance between Ned's home and the park is 1.4 miles.

To know more about it, please refer to the link:

https://brainly.com/question/24379068

Adriana needs to send 232 invitations to her family and friends for her party. There are 12 invitations in a box. How many boxes will Adriana need to order so that everyone receives an invitation?

Answers

Answer:

19

Step-by-step explanation:

Adriana needs to send 232 invitations to her family and friends for her party.

There are 12 invitations in a box.

We need to find how many boxes will Adriana needs to order so that everyone receives an invitation. Let there are x boxes. It can be calculated as :

[tex]x=\dfrac{232}{12}\\\\x=19.34[/tex]

or

x = 19

So, she will need approx 19 boxes.

1
Find the slope of the following graph and write your result in the empty box.
Answer:

Answers

Answer:

y = 2x

Step-by-step explanation:

Slope = [tex]\frac{y}{x} =\frac{2}{1}[/tex]

please help! 50 points
.Divide 6.410251.6109 1) Group the numerical factors together. 2) Simplify powers of 10 (exponent properties)

Answers

Answer:

Thanks so much

Step-by-step explanation:

plz give me brainiest

Answer:

= 0.312

Solution:

Change the divisor 6.410251 to a whole number by moving the decimal point 6 places to the right. Then move the decimal point in the dividend the same, 6 places to the right.

We then have the equations:

2000000 ÷ 6410251 = 0.312

and therefore:

2 ÷ 6.410251.6109 1) = 0.312

Both calculated to 3 decimal places.

             0 0 0 0 0 0 0. 3 1 2

6 4 1 0 2 5 1 2 0 0 0 0 0 0. 0 0 0

           − 0                  

             2 0                

           −   0                

             2 0 0              

           −     0              

             2 0 0 0            

           −       0            

             2 0 0 0 0          

           −         0          

             2 0 0 0 0 0        

           −           0        

             2 0 0 0 0 0 0      

           −             0      

             2 0 0 0 0 0 0 0    

           − 1 9 2 3 0 7 5 3    

                 7 6 9 2 4 7 0  

               − 6 4 1 0 2 5 1  

                 1 2 8 2 2 1 9 0

               − 1 2 8 2 0 5 0 2

                         1 6 8 8

Write an expression for the sequence of operations described below.
j times the product of 4 and 7

Answers

J times the product of 4 and 7:

J(4x7)

Answer:

28j

Step-by-step explanation:

4 times 7=28

28 times j= 28j

Select all of the values that are solutions to the following inequality. *
3(2a-1)> 10a - 11

Answers

Queston:

Select all of the values that are solutions to the following inequality.

3(2a-1)> 10a - 11

Answer:

The answer is 2

Help me please I need help with this

Answers

Answer:

A

You plug in the same x value for each and see the answer. So 2(5)*10^4= 100000. And for the other we do 4(5)*10^2 which is 200. Since is says that 2x10^4 is 50 times as great as 4x10^2, we know that a is right because 200 * 50 = 100000.

If a coffee bar sells on average 12 ounces of coffee every three minutes during the busy morning hours, how many gallons of coffee do they sell in 4 hours?

Answers

Answer:

7.5 gallons

Step-by-step explanation:

divide 12 by 3 to get oz per minute. 4

do 60 × 4 to get total minutes 240

4×240=960

put 960 oz into gallons and get 7.5

Select all equations that have graphs with the same y-intercept.

Group of answer choices

y=3x - 8

y=3x - 9

y=3x + 8

y= 5x-8

y=2x -8

y=1/3x -8

Answers

y=3x-8,5x-8,2x-8,1/3x-8 how to find it is to look at the (x,y) if the equation have the same y (y-intercept)

URGENT HELP!!
The angle between a diagonal and the longer base of the isosceles trapezoid MNFD is 45°. NK is an altitude to the longer base. If MD = 9 and NF = 5, find:

Answers

Answer:

NK = 7, MK = 2, MF = 9.9, Area = 42

Step-by-step explanation:

Refer to attached

To find:

NK ,  MK,  MF, Area of trapezoid

Solution

The trapezoid is isosceles and NK is its height, therefore

MD - NF = 2MKMK = (9 -5)/2 = 2

Since ∠KDN = 45°, the triangle NKD is isosceles and so

NK = KD = MD - MK = 9 - 2 = 7

MF  = ND as trapezoid is isosceles and therefore diagonals are equal

ND = NK√2 = 7√2 = 9.9 So MF = 9.9

Area of trapezoid

A = 1/2(b1 + b2)h A = 1/2(9+5)(7) = 6*7 = 42

b) Wendy and Xavier share money in the
ratio 4:3. Wendy gets £30 more than
Xavier. How much does each receive?​

Answers

Answer:

22.5

Step-by-step explanation:

30/4=7.5

7.5*3=22.5

PLEASE HELP. I need an answer by Nov 5

Fill in the missing reasons for the following two-column proof for the following information. Given: M is the midpoint of CD; CM = 3x – 10; MD = 6x – 22 Prove: x = 4

M is the midpoint of CD; CM = 3x – 10 ; MD = 6x - 22 1.?
CM=MD 2.?
3x – 10 = 6x – 22 3. substitution
-3x – 10 = -22 4. Subtraction Property of Equality
-3x = -12 5. ?
x=4 6. Division Property of Equality

Answers

Answer:

Step-by-step explanation:

1. M is the midpoint of CD; CM = 3x - 10; MD = 6x - 22;        GIVEN

2.  CM = MD                                                                       Definition of Midpoint

3.  3x - 10 = 6x - 22                                                            Substitution Property

4.  -3x - 10 = - 22                                                      Subtraction Prop of Equality

5.  -3x =-12                                                               Addition Prop of Equality

6.  x = 4                                                                    Division Prop of Equality

The missing reasons in the two-column proof are:

1. Given

2. Definition of a midpoint

3. Addition property of equality

What is the Addition Property of Equality?

To apply the addition property of equality, both sides of an equation is added with equal quantity to make it balanced.

In the two-column proof given, the missing reasons are:

1. Given (the information was stated already)

2. Definition of a midpoint (CM = MD)

3. Addition property of equality (10 was added to both sides of the equation).

Learn more about the addition property of equality on:

https://brainly.com/question/1542520

#SPJ2

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