Mathematics College

If f(x) is a linear function, f(- 3) = - 3 , and f(5) = 4 , find an equation for f(x)

Answers

Answer 1

[tex]f(x)=mx+b[/tex]

[tex]f(-3)=-3[/tex] meaning that (-3,-3)

[tex]f(5)=4[/tex] meaning that (5,4)

(1 ) Find slope.

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{4+3}{5+3}\\m=\frac{7}{8}[/tex]

The slope is 7/8

(2) Substitute any ordered pairs in the equation.

I'll use (5,4)

[tex]f(x) = \frac{7}{8}x+b\\4=\frac{7}{8}(5)+b\\4=\frac{35}{8}+b\\32=35+8b\\32-35=8b\\-3=8b\\-\frac{3}{8}=b\\b=-\frac{3}{8}[/tex]

Therefore the equation for f(x) is [tex]f(x)=\frac{7}{8}x-\frac{3}{8}[/tex]

Related Questions

do all the animals of zoo forms a set?​

Answers

Answer:

Your answer is Yes

Step-by-step explanation:

Yes they all the animals in the zoo have a set

Hope this help

And have a great thanksgiving

Simplify: 5 -3 • 5 5

25 8
25 -15
5 -3
5 2

Answers

5 -3 * 5 5 simplified = 160!!!

Help?????
Mathematics

Answers

Answer:

h = 9 but see note below.

Step-by-step explanation:

Givens

h = ?

L = h + 31

diagonal = 41

Formula

h^2 + (h+31)^2 = 41^2

h^2 + h^2 + 62h + 961 = 1681

2h^2 + 62h + 961 = 1681

2h^2 + 62h + 961 - 1681 =0

2h^2 + 62h - 720 = 0

h^2 + 31h - 360 = 0

(h - 9) ( h + 40) = 0

h + 40 has no meaning

h - 9 = 0

h = 9

I suppose you might have to answer it as 9.0

This will factor into

What’s the answer to this? (2 * 198) - 1073 + 20/92 divided by 173/28

Answers

Answer:

if you have and piece of clothing that was left behind.

Step-by-step explanation:

The distance between -18 and 15 is equal to

Answers

Answer:

The distance between -18 and 15 is -33

Step-by-step explanation:

-18 - 15 = -33

Answer:

The distance is 23

Step-by-step explanation:

a transformation of a rectangle ABCD results in rectangle ABCD whch transformation maps the pre-image to the image

Answers

Answer:

dilation

Step-by-step explanation:

did it on edge 2020

Pls make me brainliest much appreciated

Amy has 9 cups of flour. If this is 3/4 of the amount she needs to make cake, how many cups does she need?

Answers

ugh sorry no answer.. my answer is wrong..

well it’s actually pretty easy!!
if amy has 9 cups which is 3/4
you need to divide 9 by 3 to find 1/4
which is 3! then 3 x 4 and your answer is 12. 12 cups of flower

2×2+31×1+1+1+1+1+11×4×4×4×4×4×4×4×4×4

Answers

Answer:

I think it is 13107200

Step-by-step explanation:

I think the answer might be 2,883,623. Hopefully, this helps you! :)

HELP ASAP WITH THIS PLEASE MATH

Answers

divide both sides by b

m=3x/b

Work out (7×10^5) ÷ (2×10^2)
Give
your answer in standard form.​

Answers

Answer:

3.5 X 10^3

Step-by-step explanation:

For the point P(21, 24) and Q(26, 27) , find the distance d(P, Q) and the coordinates of the midpoint M of the segment PQ

Answers

Answer:

d(P,Q) = 5.83 units

Mid-point = (23.5,25.5)

Step-by-step explanation:

Given points are:

P(21,24) = (x1,y1)

Q(26,27) = (x2,y2)

The distance formula is given by:

[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Here (x1,y1) are the coordinates of first point and (x2,y2) are coordinates of second point.

Putting the given values in the formula

[tex]d(P,Q) = \sqrt{(26-21)^2+(27-24)^2}\\= \sqrt{(5)^2+(3)^2}\\=\sqrt{25+9}\\=\sqrt{34}[/tex]

[tex]= 5.830952[/tex]

Rounding off: 5.83 units

The mid-point of two points is given by the formula:

[tex]M = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})[/tex]

Putting the values:

[tex]M = (\frac{21+26}{2} , \frac{24+27}{2})\\=(\frac{47}{2} , \frac{51}{2})\\=(23.5, 25.5)[/tex]

Hence,

d(P,Q) = 5.83 units

Mid-point = (23.5,25.5)

The points A (-3, -2), B (-3, 3) and C (5, 3) are 3 points.
What type of triangle is ABC?

Answers

Answer:

It's a right angle triangle

Step-by-step explanation:

PLEASE HELP ME OUT I NEED THIS ASAP, IM USING ALL THE POINTS I HAVE FOR THIS QUESTION

Answers

Answer:

no you are not you are using 5 points!

Step-by-step explanation:

What is the approximate circumference of a circular garden with a radius of 20 ft?

Answers

Answer:If you wish to know the equation for finding the circumference, it's quite simple actually. the equation is: 2πr. it's best to write down important equation if you cant remember them very well.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is 63ft

Out of 500 students enrolled in the college band, 17% are drummers. How many drummers are in the band?

Answers

Answer:

85............................

What is the answer for Expanding
2t(6t-3)

Answers

Answer:

Step-by-step explanation:

12t2 - 6t

read the photo and please answer!!
please someone help me answer this and please do give explanation to your answer!

which equation represents the problem?

3x -3 =45

3x = 45 + 3

3 + 3x = 45

3 = 45 + 3x



Now Recipes?

x= 13

x= 15

x= 16

x= 14

​

Answers

Answer:

3 + 3x = 45 ; x = 14

Step-by-step explanation:

45 = 3x + 3 ⇒ x = 14

solve the equation log x + log y = 3 and log x +3log y = 5​

Answers

Answer: 9

Step-by-step explanation:

If a pizza roll has six rolls how many pizzas do you eat?

Answers

Answer:

Answer

Answer

Answer

Answer:

it takes 78 pizza roll to make a whole pizza and in one slice of pizza its 9.75 rolls so less than half a slice is equal to 6 pizza rolls.

Step-by-step explanation:

dont ask me why i know this

A parachutist descends 56 feet in 4 seconds. Express the rate of the parachutist change In height as a unit rate?

Answers

[tex]Hello[/tex] [tex]Student![/tex]

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[tex]The[/tex] [tex]answer[/tex] [tex]to[/tex] [tex]this[/tex] [tex]is[/tex] [tex]4[/tex]:

EXPLANATION!

To find you answer, divide 64 by 4

Hope It Helped!

[tex]Thanks,[/tex]

- [tex]Answer[/tex]

[tex]U[/tex] [tex]s[/tex] [tex]e[/tex] [tex]d[/tex] [tex]L[/tex] [tex]e[/tex] [tex]s[/tex] [tex]s[/tex]

-3/-11 + 5/9 find the sum
​

Answers

I think the answer is .8282
The sum will be 82/99 or also in decimal form 0.82

The speed of a boat in still water is 25 mph. The boat is traveling on a river with a current flowing south at 10 mph. At what angle upstream should the boat head to travel due west?

21.80°
23.58°
66.42°
68.20°

Answers

Answer:

B. 23.58

Step-by-step explanation:

I got it right

The correct option is an option (b).

Angle of upstream:

If the boat is flowing in the opposite direction to the stream, it is called upstream. In this case, the net speed of the boat is called the upstream speed

Given that [tex]sin\theta=\frac{10}{25}[/tex]

Then the angle [tex]\theta[/tex] will be,

[tex]\theta= sin^{-1}(\frac{10}{25} )\\\theta=23.578[/tex]

The boat would need to be angled by about 23.58° upstream to travel due west.

Learn more about the topic Angle of upstream:

https://brainly.com/question/26287662

What is the slope of this line? Plz

Answers

Answer:

-2

Step-by-step explanation:

2y = -4x+8

y = -2x+4

Answer:

so you want to make the equation this Y=mx=b

Step-by-step explanation:

so lets do this!

4x+2y=8

    -2y  -2y

4x=8-2y

-8   -8

-4x=2y

----------

2      2

-2x=y

slope: -2

Complete the following statement:
12 orders in 2 days =
orders per day.???

Answers

Answer:

6 orders per day.

Step-by-step explanation:

12 divided by 2 is 6.

This means that in one day they can pack 6 orders.

Answer:

12 orders in 2 days = 6 orders per day

Step-by-step explanation:

In two days, 12 orders were completed. To find the amount of orders per day, we divide the number of orders by the number of days.

12÷2=6

Therefore, 6 orders per day.

ASAP PLS HELP thanks!

Answers

Answer:

the first step is combining like terms

the second step is the subtraction property of equality

and the last is the answer so I guess given because it's not the others

Which one is better? Knight or bishop? Why? (Chess)

Answers

Answer: It depends on the position.

Step-by-step explanation: Knights are better in closed positions and bishops are better in open positions. So they are better than the other in different scenarios.

PLEASE HELP ILL GIVE BRAINLIEST!!

Answers

Answer:

You could use different things

Step-by-step explanation:

Type in the equation and you could get the answers.  

What's 2|–9| – |–2|?
A. 16
B. 20
C. -20
D. -18

Answers

Answer:

2|–9| – |–2|

= 2(+9) -( +2)

= 2(+9) - 2

= 16

Answer is option A.

Hope it helps....... plz mark as brainliest

Answer: A) 16

Working:

• First we calculate the absolute values. The absolute value for any number is always positive, therefore |-9| = 9 and |-2| = 2.
• Rewriting the question knowing these facts get us: 2 x 9 - 2
• Using the Order of Operations, we multiply first getting us 18 - 2
• Final answer is 16.

I hope this made sense please just ask if you have any more questions or need me to explain something!

:)

Help me with this pls

Answers

i think it’s y=x+4.
y = 1x + 4 is the answer, slope intercept form is y = mx + b where m is the slope and b is the y - intercept :D

I will give brainliest :)

Write an equation to represent the following situation.

You go to Montgomery's and have $10 to spend.
Drinks cost $2, a bag of chips costs $1, and a pack of
gum costs $0.50. If you buy four bags of chips, how

many drinks can you buy?

•4 + 2x = 10
•2x + 1 = 10
•4 + 2x = 0.50
•1+ 2+ 4 = 10

Answers

Answer:

4 + 2x = 10

x = 3

Step-by-step explanation:

4+2x = 10
so you can buy 3 drinks
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