If f(x) is a linear function and given f(3)=−3 and f(8)=1, determine the linear function. a.) What is the slope? (Be sure to leave your answer in reduced fraction form.) b.) What is the y-intercept? (Be sure to leave your answer in reduced fraction form.) c.) What is f(x)? f(x)=

Answers

Answer 1

Answer:

slope is 4/5

y intercept is  -27/5  

f(x) =  4/5x -27/5

Step-by-step explanation:

The slope is

f(8) - f(3)

----------------

8-3

1 - -3

------------

8-3

1+3

------------

5

4/5

We can use the slope intercept form to find the y intercept

y = mx+b where m is the slope and b is the y intercept

y = 4/5x +b

Using the point (8,1)

1 = 4/5(8)+b

1 = 32/5 +b

Subtract 32/5 from each side

5/5-32/5 = b

-27/5 = b

y = 4/5x -27/5

f(x) =  4/5x -27/5


Related Questions

Four friends’ typing speeds are shown. Who is the fastest? Monica: 10 words in 1 4minute Rachel: 55 words in 5 6minute Charlie: 42 words in 3 4minute Daniel: 25 words in 1 2minute

Answers

daniel: 25 words in 12 mins

Answer:

racheal

Step-by-step explanation:

Where do the points of concurrency of certain types of triangles lie? The circumcenter of an obtuse triangle lies inside the triangle. The incenter of a right triangle lies the triangle. The point of concurrency of the angle bisectors of an acute triangle lies the triangle. The point of concurrency that is equidistant from the vertices of a right triangle lies the triangle.

Answers

Answer: can you add a picture

Step-by-step explanation:

PICTURE

Answer:

1.outside

2.inside

3.inside

4.on

Step-by-step explanation:

FOR BRAINLIEST ANSWER, SOLVE APPLICATION USING ALGEBRA. TYPE THE EQUATION OR INEQUALITY AND PLEASE SHOW WORK. a) If the sales tax on a purchase came to $48, what was the original price (before tax) and what is the final price (after tax)? (Use 6% for the sales tax rate).

Answers

the sales tax is 2.88 because 6% of 48 is 2.88 so the original price before tax was applied was 45.12

Step-by-step explanation:

before tax it would be 6/100×48=$2.88

so therefore before tax = $48-2.88=$45.12

final price after tax =$48+2.88=$50.88

What is the product? One-eighth times three-elevenths 3 over 88 1 over 22 4 over 19 35 over 88

Answers

Answer:

[tex]\frac{3}{88}[/tex]

Step-by-step explanation:

Given

One-eighth times three-elevenths

Required

Solve

One-eighth means 1/8

Three-elevenths means 3/11

So, mathematically; the above expression is represented as thus:

[tex]\frac{1}{8} * \frac{3}{11}[/tex]

To solve this, we simply multiply the numerator and the denominator together.

After multiplying these together, the next is to check if the resulting can be simplified

If yes,we simplify it and if otherwise, we live it like that.

So,

[tex]\frac{1}{8} * \frac{3}{11}[/tex]

[tex]=\frac{1 * 3}{8 * 11}[/tex]

[tex]= \frac{3}{88}[/tex]

At this point, the fraction can't be simplified any further.

Hence,

[tex]\frac{1}{8} * \frac{3}{11} = \frac{3}{88}[/tex]

CAN I GET SOME HELP PLEASE?????
Brainliest??

Answers

Answer:

The answer is A

Step-by-step explanation:

Traingle ABC is congruent to traingle EFD by hl rule

take my pointpointWhich day was the weather forecast most accurate?

Forecast vs Actual Temperature
Day
Degrees above (+) or
below (–) forecast
Monday
+4
Tuesday
–6
Wednesday
+7
Thursday
–2

Monday
Tuesday
Wednesday
Thursday

Answers

Answer:

B

Step-by-step explanation:

Answer:

Tuesday

Step-by-step explanation:

What is m E
45°
125°/F
80°
A
45°
D
125°
135°
B

Answers

Answer:

45° is the answer as to me check it ok

*I WILL MARK YOU BRAINLIEST!!!!!*

Answers

Answer:

C

Step-by-step explanation:

you were told to draw a graph

f(x) or y is 4 when x less than or equal to 3. so you must draw straight horizontal line at y = 4 start from x = 3 to the left

(fx) or y is 2 when x bigger than 3. so, 3 is not included. so you must draw straight horizontal line at y = 2 start from x = 3 to the right with empty circle first (it means 3 not included)

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. What is the output of the function f(x) = x + 21 if the input is 4? When the input is 4, the output of f(x) = x + 21 is .

Answers

Answer:

When the input is 4, the output of f(x) = x + 21 is 25.

Step-by-step explanation:

The given function is  

[tex]f(x)=x+21[/tex]

Here, x is input and f(x) is output.

We need to find the output of the given function f(x) if the input is 4.

Substitute x=4 in the given function.

[tex]f(4)=4+21[/tex]

[tex]f(4)=25[/tex]

So, the output value is 25.

When the input is 4, the output of f(x) = x + 21 is 25.

The average reading score on a certain test is given by y=0.150x +255.34 where x is the number of years past 1970 . In what year would the average reading score be 259.24 if this model was accurate

Answers

Answer:

The average was 259.24 in 1996.

Step-by-step explanation:

In order to find the year that the average, "y", is 259.24 we need to apply this value on the given expression, as done below:

[tex]259.24 = 0.15*x + 255.34\\0.15*x = 259.24 - 255.34\\0.15*x =3.9\\x = \frac{3.9}{0.15}\\x = 26[/tex]

The average was 259.24 after 26 years, therefore it was in 1996.

This is the question that I need help with.​

Answers

Answer: 16 + 55 = 71cm^2

Step-by-step explanation:

You want to divide this figure into 2 rectangles. There are two ways to do this, but either one will give you the same answer.

First One:

It has the dimensions of 5 and 11. 5 x 11 = 55cm^2

Second One:

This one wont be straightforward like the first one. You need to find these sides manually.

7 + x = 11

x = 4

Then,

9 - x = 5

x = 4

4 x 4 = 16cm^2

Refer to the previous question.

Click on the numbers

question to another.

Which answer choice shows the correct calculation by using the Pythagorean Theorem for the distance of

between Elibri's apartment and Elibri's school, namely HE?

Answers

Answer:

|AC| = 4.47 units (question attached as image)

Step-by-step explanation:

The question lacks sufficient details. We wil however consider a similar example (image attached) to understand how to solve questions using Pythagoras theorem.

We will calculate for |AC| using Pythagoras theorem, we have:

|AC|² = |AB|² + |BC|²

|AC| = ?, |AB| = 4 units, |BC| = 2 units

|AC|² = 4² + 2² = 16 + 4

|AC|² = 20 ⇒ |AC| = [tex]\sqrt{20}[/tex]

|AC| = 4.472135955 ≈ 4.47

|AC| = 4.47 units

please help you don’t need to explain this just tell me the right answer

Answers

Answer:the SAS similarity theorem

Step-by-step explanation:

Type the correct answer in each box. Use numerals instead of words. Based on the Pythagorean theorem, find the missing length for each of the given right triangles. Triangle EFG with side a = 9, side c = 41 and side b = . Triangle PQR with side a = 20, side b = 21 and side c = . Triangle XYZ with side b = 24, side c = 25 and side a = .

Answers

Answer: See below

Step-by-step explanation:

The Pythagorean Theorem is a²+b²=c². Since each problem gives us the length of a, b, or c, we can directly plug them into this equation and solve.

Triangle EFG

9²+b²=41²

81+b²=1681

b²=1600

b=√1600

b=40

----------------------------------------------------------------------

Triangle PQR

20²+21²=c²

400+441=c²

c²=841

c=√841

c=29

----------------------------------------------------------------------

Triangle XYZ

a²+24²=25²

a²+576=625

a²=49

a=√49

a=7

Which is the graph of f(x) = (2/3)^x

Answers

Answer:

Picture attached below.

Step-by-step explanation:

I hope it helps.

Can anyone answer these? I’ll give you brainiest and 5 stars

Answers

Answer:

Step-by-step explanation:

2y^4 x 5y^3 = 10y^7

3gh^2 x 4g^3h^3 = 12g^4h^5

Answer:

1) 10y^7

2)12g^4h^5

Step-by-step explanation:

First just multiply numbers the rule is to add the exponents and if it doesn't show an exponent it should be 1 as an exponent so 2x5 is 10 and 4+3 is 7 so 10y^7 you do the same for the other one

Urgent plz please please❤️

Answers

Answer:

see below

Step-by-step explanation:

The domain is  the possible x values

For the top graph x goes from 0 to 240

0 ≤x≤240

For the bottom graph the domain is from -3 but not including -3 because of the open circle to 6

-3 < x ≤6

(-3,6]

The range is the possible y values

The lowest value of y is -5 and the largest is 7

-5 ≤y≤7

[-5,7]

if f(x)=x-7 and g(x)=x^3, find G(f(x))

Answers

Answer:

[tex](f*g)(x) = x^4-7x^3[/tex]

Step-by-step explanation:

[tex]f(x) = x-7\\g(x) = x^3[/tex]

Multiplying both would make

[tex](f*g)(x) = x^4-7x^3[/tex]

This is the answer.

help please this is hard sheet attached

Answers

Answer:

88 cm²

Step-by-step explanation:

6*2*2+2*2= 28 cm² sides

6*3*2= 36 cm² top and bottom

3*4*2= 24 cm² front and back

28+36+24= 88 cm²

Answer:

[tex]6 \times 2 + 2 \times 2 = 28 \\ \\ 6 \times 3 \times 2 = 36 \\ \\ 3 \times 4 \times 2 = 24 \\ \\ 28 + 36 + 24 = 88cm {}^{2} [/tex]

(02.06)If 1 pint is equal to 2 cups, then 5 pints would equal ___ cups.

Answers

Answer:

If 1 pint is equal to 2 cups, then 5 pints would equal _5_ cups.

Step-by-step explanation:

Let's use a ratio to solve:

pints : cups

  1      :   2

  2     :   4

  3     :   6

  4     :   8

  5     :   10

There would be 10 cups in 5 pints.

NEED MATH HELP NOW. PLEASE HELP.

Answers

Answer:

The x-intercepts are (-2, 0) and (4, 0). I know this because it's written in intercept notation. To find the y-intercept we'll expand.

-(x + 2)(x - 4) = -x² + 2x + 8 so the y-int. is (0, 8). To find the rest we'll complete the square.

-x² + 2x + 8 = -(x² - 2x) + 8 = -(x -1)² + 1 + 8 = -(x - 1)² + 9 so the vertex is (1, 9) and the axis of symmetry is x = 1. This means that the domain is all real numbers and the range is y ≤ 9.

Please help! Please help me answer this question,

Answers

Answer:

A-4

B-5

C-1

D-3

E-2

Step-by-step explanation:

They all have the same explanation u have to find the point where the line coincides with the x and y axis

E.g on how to work out

Note when the value of y is zero u get the x coordinate and when x is zero u get the y coordinate

C=2x+y=4

To get x 2x+0=4 x=2

Y 0+y=4 y=4

After doing so u locate the line that passes through (2,0),(0,4)

Hope it helps

Answer:

Can you send a screen shot of each graph  because its hard to see the  coordinate

Step-by-step explanation:

2. Sled kites rely on wind pressure to retain the shape of the sail. Each consists of a single square and two triangular pieces.

Kyle has made a model of a Sled kite as shown below. Show that the angles
(JUSTIFY)

Answers

Show that the angles A and B are congruent

Answer:

[tex]\angle A =\angle B =90^\circ[/tex]

Step-by-step explanation:

The diagram of the sled kite is attached below.

The central part of the kite is square.

We know by the property of a square that all its angles are congruent and equal to 90 degrees.

Therefore:

[tex]\angle A =\angle B =90^\circ[/tex]

Angles A and B are congruent.

what is the gradient of the blue line Attachment below!!!!!!!!!!!

Answers

Answer:

-3 Or 3 it could be any one of them

Step-by-step explanation:

-3 or 3

Rise/run so an

i dont understand may i have some assitance

Answers

Answer:

For the first blank, let's see how many numbers are in between 5 and 10. This is 5 (the numbers are 5, 7, 6, 6, 8). The second blank is 8 (the numbers are 10, 12, 10, 14, 13, 11, 12, 12), the third blank is 6 and the fourth is 1.

For the first blank, let's see how many numbers are in between 5 and 10. This is 5 (the numbers are 5, 7, 6, 6, 8). The second blank is 8 (the numbers are 10, 12, 10, 14, 13, 11, 12, 12), the third blank is 6 and the fourth is 1

The point of tangency of line S to circle A is M.

True
False

Answers

The answer is false hope it helps !

Answer:

False!

Step-by-step explanation:

Just got this question on OW

To locate the percentile for a given observation in a data set, the data must be ___________. Select one: a. Displayed in a histogram b. Sorted and listed from the minimum to the maximum values c. Distributed symmetrically around the mean d. Summarized in a frequency distribution

Answers

Answer:

b. Sorted and listed from the minimum to the maximum values

Step-by-step explanation:

A percentile can be defined a measure that is made use of statistics.

A percentile is a statistical measure that indicates or shows comparison amongst a given set of data.

A percentile tells us the value or scores below which a percentage of a given observation in a data set falls.

In other to be able to effectively obtain the percentile if a given set of data, the following steps must be taken.

Step 1: Arrange, sort and list the values of the given the data set in order from lowest to the highest

Step 2: Multiply the percentage (also represented by P ) by total number of values in the data set( also represented by N)

Step 3: The value obtained from step 3 is know as the rank and this would helps us to find the percentile f a given data set.

The formula for calculating a percentiles is given as

= (P/100) x N,

where

P = percentile

N = number of values in a data set (sorted or arranged from lowest to highest)

n = Rank of a given value.

Please help ! anyone know the answer :(

Answers

The answer is for this question is D

Answer:

[tex]\mathrm{C}[/tex]

Step-by-step explanation:

[tex]3-\frac{x}{2}\ge 15[/tex]

[tex]3-\frac{x}{2}-3\ge \:15-3[/tex]

[tex]-\frac{x}{2}\ge \:12[/tex]

[tex]-\frac{x}{2} \times 2 \ge \:12 \times 2[/tex]

[tex]-x\ge \:24[/tex]

[tex]x\le -24[/tex]

2 less than a number times 6

Answers

Answer: 6x- 2

Explanation: 2 less means (- 2) a number times 6 can be written as 6x

The probability that any postcard posted in Portugal on Monday is delivered to the UK within a week is 0.62.
The probability that any postcard posted in Portugal on Friday is delivered to the UK within a week is 0.41.
Anna is on holiday in Portugal. She posts 15 postcards to the UK on Monday.
How many of her postcards can she expect to be delivered within a week?

Answers

Answer:

She expect 9  postcards to be delivered within a week.

Step-by-step explanation:

We are given that The probability that any postcard posted in Portugal on Monday is delivered to the UK within a week is 0.62

We are also given that The probability that any postcard posted in Portugal on Friday is delivered to the UK within a week is 0.41.

Now we are supposed to find How many of her postcards can she expect to be delivered within a week if She posts 15 postcards to the UK on Monday.

So, The probability that any postcard posted in Portugal on Monday is delivered to the UK within a week =0.62

She expect no. of postcards to be delivered within a week.= [tex]15 \times 0.62[/tex]

She expect no. of postcards to be delivered within a week.=9.3

So, She expect 9  postcards to be delivered within a week.

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