If f ( x ) is a linear function, f ( − 1 ) = 2 , and f ( 5 ) = − 5 , find an equation for f ( x ) . f ( x ) =__
show your work!

Answers

Answer 1

Step-by-step explanation:

Let's first find the slope

(-5-2)/(5--1) = -7/6

the equation should be

[tex]y = \frac{ - 7}{6} x + c[/tex]

To find c, we replace X with -1 and Y with 2

c= 5/6

So the equation is

[tex]y = \frac{ - 7}{6} x + \frac{5}{6} [/tex]

And if you multiply everything by 6 you get

6y = -7x +5


Related Questions

help for brainliest and good luck

Answers

18 is the correct answer

The answer is 28
4(x+7) is congruent to 6x-28 meaning they’re equal
4x+28=6x-28
Subtract 28 on both sides
4x=6x-56
Subtract 6x on both sides
-2x=-56
Divide by -2
x=28
Those are also Corresponding Angles

Calvert Math assinment

Answers

Answer:

I dont understand ur question

Which of the following satisfies 3x+1=4(mod9)

Answers

Answer:

X=1

Step-by-step explanation:

3x+1=4

3x=4-1

3x=3

x=1

The perimeter of a rectangular window is 264 cm.
If the width of the window is 56 cm, what is its length?

Answers

Answer:

length = 76 cm

Step-by-step explanation:

The perimeter = (2 × width) + (2 × length)

264 = (2×56) + (2 × length)

264 = 112 + (2 × length)

264 - 112 = 2 × length

152 = 2 × length

152/2 = length

76 = length

length = 76 cm

Can Pi be written as a fraction?

Answers

Answer:

no

Step-by-step explanation:

1. Pi is an irrational number, and irrational numbers CANNOT be written as a fraction. Pi is a non-repeating, non-terminating decimal number.

2. While 22/7 and 3.14 is often used as a value for pi, these are just approximations, so they're not completely exact.

A quart of water weighs 2 pounds.how much do 1.5 gallons of water weigh?

Answers

Answer:

12 pounds

Step-by-step explanation:

gallon equals 4 quarts

1.5*4 equals 6

6 quarts times 2 pounds =2

The product of a number
X and 40
A.X-40
B. X+40
C 40x
D. X/40

Answers

Answer:

C

Step-by-step explanation:

Construct a polynomial function with the following properties: fifth degree, 2 is a zero of multiplicity 4, −2 is the only other zero, leading coefficient is 3.

Answers

9514 1404 393

Answer:

  p(x) = 3(x -2)^4(x +2) . . . in factored form

  p(x) = 3x^5 -18x^4 +24x^3 +48x^2 -144x +96  . . . in standard form

Step-by-step explanation:

When a polynomial has a zero at x=p, it has a factor of (x -p). The exponent of the factor is the multiplicity of the zero. The product of factors can be multiplied by 3 to make the leading coefficient be 3.

  p(x) = 3(x -2)^4(x -(-2))

  = 3(x^4 +4(-2)x^3 +6(-2)^2x^2 +4(-2)^3x +(-2)^4)·(x +2)

  = 3(x^4 -8x^3 +24x^2 -32x +16)(x +2)

  = 3(x^5 -6x^4 +8x^3 +16x^2 -48x +32)

  p(x) = 3x^5 -18x^4 +24x^3 +48x^2 -144x +96

GIVING BRAINLIEST AND 20 points!

Please answer this question I will give you brainliest if you answer
WITH A STEP BY STEP explanation
Sorry for the caps but just want to make it clear if u want brainliest you gatta do that

Answers

Answer:

The answer is 27

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2(3y+6+3)=196−16

(2)(3y)+(2)(6)+(2)(3)=196+−16(Distribute)

6y+12+6=196+−16

(6y)+(12+6)=(196+−16)(Combine Like Terms)

6y+18=180

6y+18=180

Step 2: Subtract 18 from both sides.

6y+18−18=180−18

6y=162

Step 3: Divide both sides by 6.

6y

/6

=

162

/6

y=27

4. The effects of a certain anesthesia on patients is modeled by the rational function listed below. The
constants A and B are determined by factors such as body mass, age, etc. Suppose a patient who is
about to undergo surgery requires the constants to be A=36 and B=9. If t represents the number of
hours from the time the anesthesia enters the blood stream, and the function describes the percent
concentration needed for the anesthesia to be effective; how long can a surgery take if the percent
concentration needed for the patient to be sedated but not dead is between 4 and 6 percent? Explain
your reasoning and how you found your solution.
Model:C(t)= At/T^2+B

Answers

Answer: you will need 10

Step-by-step explanation:

I had the same problem on my hw this is what i got tell i think its correct:

Edit:

C(t)=At/T^2+B

a=36

b=9

t= how long it takes to enter blood stream

c=36/t^2 + 9

I found T to be 6 becuase I searched it up so

36/6^2=36/36=1

c=9+1

C=10

New awnser is 10

At the bus station, buses depart a rate if 3 every 10 minutes. At the rate, how many buses would you expect to depart in one one hour?

A. 6
B. 15
C. 18
D. 30

Answers

Answer:

C.18

Step-by-step explanation:

at the rate 18 buses would have departed

The answer is 18 because if 3 buses depart at a rate of 10 minutes just multiply 10 minutes by 6 and that’ll equal an hour then multiply the 3 x 6 and that’s equals 18 which is the answer

Solve the inequality for z-9< 15. Simplify your answer as much as possible.

Answers

Answer:

z < 24

Step-by-step explanation:

Find The Size Of Angle AED
(Explain How)

Answers

[tex] - 110 \: degree[/tex]

list five rational numbers between -1 and 0​

Answers

Answer:

-1 ,-1/2 , -3/4 , -1 /4, -5 / 8 , -7 / 8 , -13 / 16, 0.

Step-by-step explanation:

Does the point (–3, 4) satisfy the equation y = –2x + 5? Yes Or No

Answers

Answer:

No

Step-by-step explanation:

y = -2x + 5

4 = -2(-3) + 5 - Substitute both x and y

4 = 6 + 5 - Simplify

4 ≠ 11

Hence, no, (-3, 4) doesn't statify the equation y = -2x + 5

solve pls Brainliest

Answers

Answer:

25

Step-by-step explanation:

155-180=25 degrees

Answer:

x = 25°

Step-by-step explanation:

Translate this sentence into an equation.
70 is the product of Han's savings and 5.
Use the variable h to represent Han's savings.

Answers

It would be 40
Hope you have a good day Thanh you

Jenna buys an item with a normal price of $70, and uses a 40% off coupon.

Answers

Answer:

Jenna paid $42.00

Step-by-step explanation:

$70-40%=28.00

70-28=42

Hi please help me i need it

Answers

Answer:

for perimeter, you add all of the sides except the height which is 19. It's means that you add all of the numbers except 19

Cookies are on sale! Today each cookie costs $0.75 less than the normal price, Right now if you buy 7 of
them it will only cost you $2.80
Write an equation to determine the normal price of each cookie (c),
Find the normal price of each cookie,

Answers

Answer:

2.80$ dived by 7 to get 40 cents each on sale. add 75 sents to each cookie. 40 plus 75 in cents. your left with 1.15$ per cookie. 1.15 times 7 is 8.05

Step-by-step explanation:

Answer:

The normal price of each cookie is n = c = $1.15.

Step-by-step explanation:

Represent the normal cookie price by n.

Then the sale price today is n - $0.75 each, and so 7 cookies will cost you 7(n - $0.75), or $2.80, or, as an equation, 7(n - $0.75), or $2.80.

We simplify this equation by dividing both sides by 7, which results in:

n - $0.75n = $0.40.

Combining like terms, we get

n = $1.15

The normal price of each cookie is n = c = $1.15.

A ball is thrown vertically upward from the top of a 100-foot tower, with an initial velocity of 20 ft/sec. Its position function is s(t) = -16t^2 + 20t + 100. What is its velocity in ft/sec when t = 1 second?

Answers

The velocity of the ball in ft/sec, when t = 1 second is equal to -12 ft/sec.

Given the following data:

Displacement = 100 feetTime = 1 secondsPosition function = [tex]s(t) = -16t^2 + 20t + 100[/tex]

To calculate the velocity of the ball in ft/sec, when t = 1 second:

Mathematically, the velocity of an object or physical body is equal to the differentiation of it's position function.

Velocity = s'(t)

Velocity = [tex]s(t) = -16t^2 + 20t + 100[/tex]

[tex]Velocity = -32t + 20[/tex]

Substituting the value of time (t), we have:

[tex]Velocity = -32(1) +20\\\\Velocity =-32+20[/tex]

Velocity = -12 ft/sec

Read more: https://brainly.com/question/8898885

solve for x: 2(3x +1)-4=6 ​

Answers

Answer:

4/3 or 1.3333333...

Step-by-step explanation:

2 x (3x + 1)-4 = 6.

6x+2-4=6.

6x+2=10

6x=8.

X= 1.3333333... OR 4/3

Answer:

refer to the attachment

hope it helps

Convert the equation − x − 2 y = 8 from standard to slope-intercept form

Answers

Answer:

y = -1/2x - 4

Step-by-step explanation:

We have our equation in standard form: -x - 2y = 8. We can use simplifying rules to isolate y on one side of the equation and give us our y = mx + b format. I'll begin by adding x to both sides.

-x - 2y = 8

-2y = x + 8

Now that we have y on one side, we can divide everything by -2.

-2y/-2 = x/-2 + 8/-2

y = -1/2x - 4

That looks like y = mx + b form.

If you have any further questions or need clarification on anything, let me know!

Jasmine frames a portrait to hang in her bedroom. The length of the frame measure 4.5 feet and the frame has a perimeter of 16 feet. Write an equation that can be used to determine w, the width of the frame.

Find the width of the picture frame. Show all work.​

Answers

Answer:Because

Step-by-step explanation:

Ima teacher

VWrite the cubic polynomial function f(x) in expanded form with zeros −6, −5, and −2, given that f(−1)=40

Answers

This is an interesting problem. The underlying solution is to solve a system of equations.

First we need to define what's a cubic polynomial function :

f(x) = [tex]ax^{3}+bx^{2}+cx+d[/tex], where a,b,c,d are constant values.

We assume from the problem that f(-1) = 40, and that the zeros of our unknown function are -6,-5 and -2.

This gives us a system of equation to solve :

[tex]-216a +36b-6c+d=0\\-125a+25b-5c+d=0\\-8a+4b-2c+d=0\\-a+b-c+d = 40\\[/tex]

Good luck

Which of the following are remote interior angles of angle 1? Check all that apply

A. <5

B. <2

C. <3

D. <1

E. <4

F. <6

Answers

Answer:

it will be 4 because it can't share it's vertex ✌

How many cherries tomatoes does he need?

Answers

1 Large Salad uses 10 cherry tomatoes.

1 Small Salad uses 6 cherry tomatoes.

Jorge wants to make 6 large salads: 6 x 10 = 60 cherry tomatoes for the large salads.

4 small salads: 4 x 6 = 24 cherry tomatoes.

Now we add them together to find the total amount: 60 + 24 = 84 Cherry Tomatoes.

I hope this has helped! :)

Answer:

He needs 84 cherry tomatoes.

Step-by-step explanation:

6 * 10 = 60 cherry tomatoes

6 * 4 = 24 cherry tomatoes

60 + 24 = 84 cherry tomatoes

Hope this helps!

James has $10 less than three times the amount Amy has. Which expression represents James' amount if Amy has d dollars?

Answers

Answer:

james has 3d-10

Step-by-step explanation:

Amy has d dollars

james has 10 less than 3 times Amy's amount

so the answer will be 3d - 10

hope it helps : )

The expression that represents James' amount is 3d - 10. Then the correct option is A.

What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

A sentence-to-equation translation is a process of turning a given statement into an expression or equation.

James has $10 less than Amy, who has three times as much money.

Let d be the amount Amy has. Then the expression is given as,

⇒ 3d - 10

The expression that represents James' amount is 3d - 10. Then the correct option is A.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ5

The missing options are given below.

a) 3d - 10

b) 10 - 3d

c) 3d - 30

d) 30 - 3d

What two numbers multiply to equal 20 but when added equal 12

Answers

Answer:

Two and ten.

Step-by-step explanation:

Answer:

2 and 10

Step-by-step explanation:

2 +10 = 12

And 2×10 = 20

Help me please help me help please

Answers

Answer:

4

Step-by-step explanation:

-4/-1 = 4

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