Write a linear function with the values f(6)=8 and f(9)=3

Answers

Answer 1

Answer:

Step-by-step explanation:

y = ax + b

we will obtain a and b values, based in f(6)=8 and f(9)=3

f(6)=8 ⇒ 8 = a 6 + b ⇒ b = 8 - 6a

f(9)=3 ⇒ 3 = a 3 + b (sustituing b by above expression) ⇒ 3 = 3a + 8 - 6a

⇒ 3 = -3a + 8 ⇒ a = 5/3

b = 8 - 6 . 5/3 ⇒ b = 8 - 10 ⇒ b = -2

so, the linear function is:

f(x) = 5/3 x - 2

---- I'm sorry, f(9)=3 does not match /// there must be an error somewhere in my calculations /// hope can help. cheers!


Related Questions

PLEASE HELP!!!!!!!! THANKS!!!!!!!!!

You have a digital audio recording of orchestra music. The bit rate used to create the digital audio recording is 176,400 Hz. What does this mean?

A. There were 176,400 samples of the orchestra music taken per cycle.
B. The maximum audible frequency for the orchestra recording is 176,400 Hz.
C. The loudness of the orchestra music is beyond the threshold of pain.
D. There were 176,400 samples of the orchestra music taken every second.​

Answers

Answer:

D) There were 176,400 samples of the orchestra music taken every second

Step-by-step explanation:

Just did the test

Slope = -1; y-intercept = 8 write the linear equation in slope intercept form

Answers

Step-by-step explanation:

Slope intercept form is y=mx+c, where m is the slope and c is the y-intercept

y = -1*x + 8

y=-x+8

pls help me w thissssssssssssssssss

Answers

Answer:

20

Step-by-step explanation:

64/16 =x/5

4=x/5

x = 20 pretzels

Pls help me! Will mark BRAINLIEST :)

Answers

Answer:

Step 2 : The error started at this step, when the student took 2x and 3x [Instead of 3x and 3x]. This is because 3x and 3x multiply to 9x^2 and sum up to 6x;whereas 2x and 3x multiply to 6x^2 and sum up to 5x.

Correction :

[tex]1) x^2+6x+9\\2)x^2+3x+3x+9\\3)x(x+3)+3(x+3)\\4)(x+3)(x+3)[/tex]

You are working with an athlete who has a 1RM in the Back! Squat of 200 kg. What is the maximum number of repetitions they could do with 150 kg? a. 10b. 8c. 6d. 4e. 2

Answers

Answer:

The answer is "Option a"

Step-by-step explanation:

In this question, the answer is "option a", which is equal to 10, and which is based on the training load base chart.

6 avacodos is 10$. How much is it for 12

Answers

Answer:

Step-by-step explanation:

divide 10 dollars by 6 avacados to get your unit rate, and then multiply that by 12 to get your cost.

10/6 is 3/2

3/2 times 6 is 18

so 18 dollars for 12 avacados

Answer: $20 if six avocados are $10 add 10+ 10= 20

What is 15% of $4,800.00?

Answers

Answer:

$720

Step-by-step explanation:

15% of $4800.00 is $720


1) 1/3

2)6

3)-6

4)-3

5)-1/3

6) 3

Answers

Answer:

[tex]\frac{3}{1}[/tex] or 3

Step-by-step explanation:

To find the slope find two coordinates and set up the equation [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

For the coordinates (0,2) and (2,8) y2 is 8 and y1 is 2. x2 is 2 and x1 is 0. [tex]\frac{8_{}-2_ }{2-0_ }[/tex] you have to do subtraction first. 8-2 = 6 and 2-0 = 2

Now we have the equation [tex]\frac{6}{2}[/tex]

this can be simplified to  [tex]\frac{3}{1}[/tex]

What is the product? (-3s+2t)(4s-t)​

Answers

Answer:

−12s2+11st−2t2

Step-by-step explanation:

Hope this helps!

Answer:

-12s - 2t

Step-by-step explanation:

First simplify the like terms.

-3s * 4s = -12s

(-12s + 2t)(-t)

Simplify the like terms again.

2t * (-t) = -2t

-12s - 2t.

Or

12s + 2t. (You can get this by multiplying the equation by -1)

You have one type of chocolate that sells for $6.00/lb and another type of chocolate that sells for $9.70/lb. You would like to have 11.1 lbs of a chocolate mixture that sells for $7.50/lb. How much of each chocolate will you need to obtain the desired mixture? You will need ______ lbs of the cheaper chocolate and ______ lbs of the expensive chocolate.

Answers

Answer:

lbs of the cheaper chocolate => x = 6.6 pounds(Ibs)

lbs of the expensive chocolate => y = 4.5 pounds(Ibs)

Step-by-step explanation:

Let's the :

lbs of the cheaper chocolate => x

lbs of the expensive chocolate => y

You would like to have 11.1 lbs

Hence:

x + y => 11.1

x = 11.1 - y

You have one type of chocolate that sells for $6.00/lb and another type of chocolate that sells for $9.70/lb. of a chocolate mixture that sells for $7.50/lb.

Hence:

$6.00 × x + $9.70 × y = $7.50 × 11.1

6x + 9.7y = 83.25

Hence, we substitute 11.1 - y for x

6(11.1 - y) + 9.7y = 83.25

66.6 -6y + 9.7y = 83.25

-6y + 9.7y = 83.25 - 66.6

= 3.7y => 16.65

y = 16.65/3.7

y = 4.5 pounds

x = 11.1 - y

x = 11.1 - 4.5

x = 6.6 pounds

Hence:

You will need 4.5 lbs of the cheaper chocolate and 6.6 lbs of

How does a turkey feel on thanksgiving?

Answers

Answer:

Sad and hurt, or dead, so nothing?

Step-by-step explanation:

Answer:

it feels dead. and hot and good

Which assumption must scientists make about the rock cycle?
Question 11 options:

A igneous rocks cannot change into other rocks because they are already changed.

B rocks are formed in Earth’s center and rise to the crust to form the soil.

C igneous rocks form in volcanoes and then erode to form metamorphic rocks.

D rocks in ancient times weathered, eroded and deposited as they do today.

Answers

Answer:

B

Step-by-step explanation:

Simplify the expression
4a
6(a + b)
Enter the correct answer.
Someone help plz

Answers

Answer:

4 7 + 4 6

Explanation:

Answer:

10a+6b

pls mark as brainliest.

Step-by-step explanation:

I think you mean 4a+6(a+b)?

We need to multiply out the the 6(a+b) first.

4a+6(a+b)

=> 4a+6a+6b

Then, we can add the like terms, which in this case are 4a and 6a:

=> 10a+6b

pls mark as brainliest.

Tommy throws a ball from the balcony of his apartment down to the street. The
height of the ball, in meters, is modeled by the function shown in the graph. What's
the average rate of change of the height of the ball, in meters per second, while it's in the air?
A) -2/3
B) -3/2
C) 2/3
D) 3/2

Answers

Answer: c

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

got it right on the test

Karen is knitting quilts for her family and friends as holiday gifts. As she knits the quilts she becomes more proficient each week. If the pattern continues, during what week will Karen knit 18 quilts? A) 8 weeks B) 9 weeks C) 10 weeks D) 11 weeks

Answers

Answer: 9 weeks

Step-by-step explanation: i did the math and got it right

Using π = 3.14, find the area of a circle with a radius of 5.6. Round your answer to the nearest hundredth.

Answers

Answer:

98.47

Step-by-step explanation:

A = πr²

A = (3.14)(5.6)²

According to PEMDAS exponents come before multiplication. 5.6² is 31.36

The next step is to multiply this answer by pi (3.14)

3.14*31.36 = 98.47

What is the value of x?

L2FwcGhvc3RpbmdfcHJvZC9ibG9icy9BRW5CMlVvT0UyU0RMRzdOZ2ZYb09yLVZCWUN3TDBDSTMyRFlnekd1S0I2WGQxbzU1ZXRxaXBHak9PWmZIR2F0X2NpdVg0N3l4dkx4Z1NUZ1lnOXp4bjUwQklLRks5R244Zy5tV0Zwb1JlcWJWNVV5Qmdt?w=400&h=400

a
x=24
b
x=48
c
x=66
d
x=132

Answers

Answer:

I THINK U ANSWERED IT ON YOUR OWN

Step-by-step explanation:

Answer:

mark me braniest

Step-by-step explanation:

2a+4bc=5
a-4b=-6
2b+c=7

Answers

Answer:

b

Step-by-step explanation:

The owner of an Apple orchard wants to buy more trees the table below shows the cost for buying different numbers of trees

Answers

You need to attract a picture

An airplane travels 5418 kilometers against the wind in 9 hours and 6588 kilometers with the wind in the same amount of time. What is the rate of the plane in
still air and what is the rate of the wind? ANSWER ASP PLS

Answers

Answer: I rate the wind 5 stars.

Step-by-step explanation:

Gives us some fresh air when we go outside.

What is the product of ,-13×71​

Answers

Answer:

-923

Step-by-step explanation:

use a calculator lol

A basketball court is 31.3 yards long. How many inches is that?

Answers

The correct length of the court is 1126.8 inches.

You can find this value by taking 31.3 yards times 36 to equal 1126.8 inches.

In the Pythagorean Theorem, what
does the "a" stand for?
a2 + b2 = c2

Answers

Answer:

A theorem stating that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other sides. It is mathematically stated as c2 = a2 + b2, where c is the length of the hypotenuse and a and b the lengths of the other two sides.

Step-by-step explanation:

Answer:

a stands for one of the sides opposite the hypotenuse

Step-by-step explanation:

The Pythagoras theorem is

c^2 = a^2 + b^2

which states that the square of the hypotenuse is equal to the sum of the squares of the two opposite sides.

P.S. Please mark my answer as brainliest, I need it to rank up.

The statement below describes a situation in which opposite quantities combine to make 0. Is the statement true or false?
A mountain biker gets halfway up a hill and realizes he forgot his water, so he returns to his starting point. (4 points)

True
False

Answers

i think false but im not sure..

what is the center of the circle shown below?

Answers

Answer:

Step-by-step explanation:

the center of the circle is : B

which statement correctly compares the function shown on this graph with the function y= 4x +2

Answers

Answer:

Step-by-step explanation:

Sir the graph pls

Answer:it would be d

Step-by-step explanation:

Find the slope and the y-intercepts of the equations below.

Answers

Answer:

28) slope -3 y intercept -13

29) slope -4 y intercept 37

30) slope 4 y intercept -6

x^2+x-30x2+x−30 factor

Answers

Answer: x^2+2x-90

Step-by-step explanation:

can someone help me again? asap

Answers

Answer:

3.) Choice B

4.) Choice A

Step-by-step explanation:

Question #3:

You can find the equation by doing the y divided by the x and you'll get 4 every time so that's why it's Choice B.

Question #4:

A proportional equation is always a straight line that goes through the origin. So the answer is Choice A because it's the only one without a y-intercept because if the equation had a y-intercept it wouldn't go through the origin. For example, Choice B would go through (0,5) and Choice C would go through (0,-1) but we need it to go through (0,0).

Like Terms have the same constant and the same exponent.
O True
O False

Answers

Answer:

i think true

Step-by-step explanation:

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