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

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

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 pls Brainliest

Answers

Answer:

25

Step-by-step explanation:

155-180=25 degrees

Answer:

x = 25°

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

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 ✌

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.

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

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

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:

Calvert Math assinment

Answers

Answer:

I dont understand ur question

Find The Size Of Angle AED
(Explain How)

Answers

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

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

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!

Help me please help me help please

Answers

Answer:

4

Step-by-step explanation:

-4/-1 = 4

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.

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

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

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!

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

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

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

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:

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

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

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

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

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

Answers

Answer:

z < 24

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

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

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

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