Write a linear function f with the values f(−1)=8 and f(5)=6.

Answers

Answer 1

Answer:

f(x)=1/3x+23/3

Step-by-step explanation:

Find the slope:

m= -1/3

Find the y-intercept:  

b= -7 2/3

Substitute in the numbers to get:

f(x)=1/3x+23/3

Hope this helps! :)

Answer 2

The value of the linear equation will be;

⇒ f (x) = -1/3x + 23/3

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The values are;

⇒ f (-1) = 8 and f (5) = 6

Now,

Let the linear function is,

⇒ f (x) = ax + b

Substitute f (-1) = 8 and f (5) = 6 in above equation as;

⇒ f (-1) = a × -1 + b

⇒ 8 = - a + b   ... (i)

And, ⇒ f (5) = a × 5 + b

⇒ 6 = 5a + b   ... (ii)

Solve (i) and (ii) as;

a = - 1/3 and b = 23 / 3

So, The linear equation become;

⇒ f (x) = ax + b

⇒ f (x) = -1/3x + 23/3

Thus, The value of the linear equation will be;

⇒ f (x) = -1/3x + 23/3

Learn more about the linear equation visit:

https://brainly.com/question/2030026

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Related Questions

The solution of 3x - 4 ( x - 2 ) = 0 is ;

Answers

Answer:

8

Step-by-step explanation:

simplify the expression

3x - 4x+8 = 0

put like terms together 3x-4x = -x

-x + 8 = 0

add x on both sides

x = 8

happy holidays :)

please click the heart to give thanks :)

Step-by-step explanation:

STEP 1:

Equation at the end of step 1

 (3x - 4)2  = 0

STEP 2:

Solving a Single Variable Equation:

2.1      Solve  :    (3x-4)2 = 0

 (3x-4) 2 represents, in effect, a product of 2 terms which is equal to zero

For the product to be zero, at least one of these terms must be zero. Since all these terms are equal to each other, it actually means :   3x-4  = 0

Add  4  to both sides of the equation :

                     3x = 4

Divide both sides of the equation by 3:

                    x = 4/3 = 1.333

One solution was found :

x = 4/3 = 1.333

What's the answer?
Answer only if you know.

Please answer as soon as possible thank you:)

Answers

Answer:

[tex]6mx - 3nx + my[/tex]

Step-by-step explanation:

2my - my = 1my (1 can also be omitted).

Answer:

6mx-3nx+my

Step-by-step explanation:

Collect like terms:

6mx-3nx+2my-my

subtract: 2my-1my

= 1my

since you cant add any more like terms your answer would be

6mx-3nx+my

Estimate the quotient: 1628 ÷ 8 and its NOT 203

Answers

204 i rounded up from 203.5

Answer:

203.5

hope this helps:)

Step-by-step explanation:

Can someone answer these pls!! I will be glad to have you answer them !! I need this done by tomorrow!

Answers

Answer:

7/8=0.875   7/20=0.35   18/20=0.9    7/8=0.875    68/50=1.36     25/20=1.25 26/25=1.04   11/10=1.1     11/16=0.6875  9/16=0.5625  33/40=0.825  23/40=0.575   14/10=1.4     29/25=1.16  39/40=0.975

Step-by-step explanation:

What is the product of 3/5 and 10/11?

Answers

Answer:

6/11

Step-by-step explanation:

Last sunday 1575 people visited the amusement park 56% was adults 16% were teenagers and 28% are children ages 12 and under find the number of adults teenagers and children that visited the park

Answers

Answer:

984 adults

281 teens

492 children

Step-by-step explanation: Multiply the total by the corresponding percentage to find the number. We assume the percentages have been rounded, so some adjustment is needed in the result of the multiplication.

{adults, teens, children} = 1757 × {.56, .16, .28} = {983.92, 281.12, 491.96}

 ≈ {984, 281, 492}

Answer:

984

492

281

Step-by-step explanation:

hope that helps

what’s the percentage help me please

Answers

It is 68 percent cause 17 x4 is 68

URGENTTTTTTTTTTTTTTT ASAP MARKING BRAINLIEST

Answers

Answer:

I would say B only IV because all of the others are assuming and there's no way to prove true or not.

Step-by-step explanation:

Find the simple interest earned for principal of $2,000 at and 8% rate for 5 years.

Answers

Answer:

$2800.00

Step-by-step explanation:

A total accrued amount 800 = principal (P) $2000 + interest (I)

R Rate of interest per year decimal - 0.08

X Rate of interest per year percentage - 8%

T time period months or years - 5 years

Equation will be A = P (1 + RT)

first convert X to R = percentage to decimal

X = R/100 = 8%/100 = 0.08 per year

Solving:

A = 2000 (1 + (0.08 x 5)) = 2800

A = $2800

are all equilateral triangles acute?

Answers

Answer:

Yes, all equilateral triangles are acute.

Step-by-step explanation:

yea

hope this helps :)))

Find the exact value of tan 5x/4. 1 - -1

Answers

Answer:

ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc

Step-by-step explanation:

A camper leaves camp and travels 4 miles west and 3 miles north. How far is the camper from his original starting point?

Answers

Answer:

5 miles

Step-by-step explanation:

To answer this question, use the following:

According to pythagorean theorem, the hypotenuse of the triangle, c, with legs a and b, can be found with the following equation:

[tex]a^2+b^2=c^2[/tex]

Thus plugging in 3 for a and 4 for b:

[tex]c^2 = 25[/tex]

[tex]c=5[/tex]

will give brainliest.
Which of the binomials below is a factor of this trinomial?
3x^2+16x+ 5

A- 3x-5
B. 3x-1
C. 3x+1
D. 3x+5

Answers

Answer:

option c

Step-by-step explanation:

The zeros of 3x+1

3x=-1

x=-⅓

plug in -⅓ into the trinomial. if it gives an answer of 0 then it's a factor

3(-⅓)²+16(-⅓)+5

=0

2x+4y=8 find the slope

Answers

Make it y = mx + b form
4y = -2x + 8
Divide by 4
Y = -1/2x + 8
The slope is -1/2
M= -1/2 I think that’s the ANS

Factor the following by completing the square w^4-22w^2+9

Answers

Answer:

(w² - 4w - 3) (w² + 4w - 3)

Step-by-step explanation:

w² + 4w³ - 3w² -4w³ - 16w² + 12w-3w² - 12w + 9

A 5-foot piece of string costs $4.20. What is the price per inch?

Answers

Answer:

$0.035

Step-by-step explanation:

Answer: 0.84 cents per inch

Step-by-step explanation: Just do division to get your answer:)

Which of the following relations describes a function?
OA. {(-3,-4), (-4,-3), (3, 4), (4,3)}
OB. {(3,-1), (3, 1), (4, -1), (4, 1) }
OC. {(3, 3), (3, 4), (4,3), (4,4)}
OD. {(0,0), (0, 3), (3, 0), (3, 3) }

Answers

Answer:

{(-3,-4), (-4,-3), (3, 4), (4,3)}

Step-by-step explanation:

{(-3,-4), (-4,-3), (3, 4), (4,3)}

because x should not be the same in more than one pair

please help with 1-3

Answers

Number 1. is 1/5 but in decimal form it’s 0.2
1/5. ishevwheiebbdsnbssbbs

Which shows the correct expanded form and product of 35 x 3?
O (30 x 3) = (5 x 3) = 6
(30 x 3) - (5 x 3) = 75
(30 x 3) + (5 x 3) = 105
(30 x 3) x (5 x 3) = 1,350

Answers

Yt. W at we see f. Mmm

Answer:

(30 x 3) + (5 x 3) = 105

Step-by-step explanation:

Addison is going to invest in an account paying an interest rate of 3.1% compounded continuously. How much would Addison need to invest, to the nearest dollar, for the value of the account to reach $910 in 18 years?​

Answers

Answer: $521

Step-by-step explanation:

Options and question in image <3

Answers

Answer:

-½(30) = -15

Step-by-step explanation:

Marta's pool decrees ½ inch each day, so that would be -½ each day. You would take that -½ and multiply it by 30 so you can find out the decrees in inches over 30 days so the equation would be -½ × 30 = -15 (im sorry if that didn't make sense)

please help!!!!



algebra 2​

Answers

Answer:

domain: x<2 or x>2

x-intercepts: (3/2, 0), (-3/2, 0)


What number is 60% of 80?
Input only whole numbers.

Answers

Answer:

[tex]\huge\bf\underline{\underline{\pink{A}\orange{N}\red{S}\green{W}\purple{E}\blue{R}}}[/tex]

[tex] 60\% \: of \: 80 \\ = \frac{60}{100} \times 80 \\ = \frac{4800}{100} = 48[/tex]

[tex]\color{purple}{HOPE}[/tex] [tex]\color{purple}{THIS}[/tex] [tex]\color{purple}{WILL}[/tex] [tex]\color{purple}{HELPS}[/tex] [tex]\color{purple}{YOU}[/tex]

Please help me ! Please!

Answers

It’s 19 so the answer would be B

Answer:

B) 19

Step-by-step explanation:

The first step is to substitute 2 for x into the equation. f(2) = 2(3^2)+1

The second step is to square 3 which equals 9. f(2) = 2(9)+1

The third step is to multiply 2 by 9 which equals 18. f(2) = 18+1

The fourth step is to add 18+1 which equals 19. f(2) = 19

Is the following relation a function?

Answers

Answer:

yes

Step-by-step explanation:

A function is any graph that the x values do not repeat.

You can check this by using this vertical line test

Run your finger or a pencil down a specific vertical (top to bottom) line on the graph, if you can see that it intersects into the graph more than once, then it's not a function.

You and two friends buy snacks for a field trip. Using the
information given in the table, determine the price per pound for mixed nuts,
granola, and dried fruit.

Answers

Answer:

13.15

Step-by-step explanation:

Please answer I’m desperate

Answers

Answer:

the square root of 20 could be between 4 and 5 OR -4 and -5.

Step-by-step explanation:

plus or minus 4 squared is 16 and plus or minus 5 squared is 25. finally, 20 is between 16 and 25.

8/962365//*(789630)*****789456123=?
solve its for a test !

Answers

The answer for that is probably 7(%7/£122-;298;+92

Answer:

7(%7/£122-;298;+92

Step:-by-st7(%7/£122-;298;+92ep explanation

Given the parallelogram below, find the value of angle 1

Answers

who even knows now days

Which number is the additive inverse of -5?

Answers

Answer:

5

Step-by-step explanation:

Because -5 is a negative number and the opposite of negative is positive and 5 is positive.

Final Answer: [tex]5[/tex]

Steps/Reasons/Explanation:

Write down [tex]-5 + x = 0[/tex] because this is our equation with [tex]-5[/tex] plugged in to get an additive inverse. We will have to add [tex]5[/tex] to both sides. This means our additive inverse is positive [tex]5[/tex].

Question: Which number is the additive inverse of [tex]-5[/tex]?

[tex]-5 + x = 0[/tex]

Step 1: Regroup terms.

[tex]x - 5 = 0[/tex]

Step 2: Add [tex]5[/tex] to both sides.

[tex]x = 5[/tex]

~I hope I helped you :)~

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