If (1,2), and ( - 20,9) are two solutions of f(x) = mx
b. find m and b.

If (1,2), And ( - 20,9) Are Two Solutions Of F(x) = Mxb. Find M And B.

Answers

Answer 1

The function f(x) = mx + b is a linear function, and the values of m and b are -1/3 and 7/3, respectively

How to determine the values of m and b?

The function is given as:

f(x) = mx + b

The solutions are (1,2) and (-20,9)

The above points mean that:

1 * m + b = 2

-20 * m + b = 9

This gives

m + b = 2

-20m + b = 9

Subtract both equations

m + 20m = 2 - 9

Evaluate the difference and sum

21m = -7

Divide both sides by 21

m = -1/3

Substitute m = -1/3 in m + b = 2

-1/3 + b = 2

Add 1/3 to both sides

b = 2 + 1/3

Evaluate

b = 7/3

Hence, the values of m and b are -1/3 and 7/3, respectively

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Related Questions

A health food store has launched a new pack of vitamins for children. The store records the number of packs ordered by a random sample of 100 online customers and the number of packs ordered by a random sample of 100 walk-in customers.

Two dot plots are shown one below the other. The title for the top dot plot is Online Customers and the title for the bottom plot is Walk In Customers. Below the line for each dot plot is written Number of Packs. There are markings from 1 to 5 on each line at intervals of one. For the top line there are 0, 0, 1, 4, 5 dots respectively for marks from 1 to 5. For the bottom line there are 3, 6, 1, 0, 0 dots respectively for marks from 1 to 5. On the right side, towards the middle of the two plots is shown a dot symbol equal to 10 customers.

Which inference can be drawn about the buying pattern of the online customers versus that of the walk-in customers?

Online customers buy an average of 4 packs compared with walk-in customers, who buy an average of 1 pack.
Online customers buy an average of 5 packs compared with walk-in customers, who buy an average of 2 packs.
Online customers buy an average of 4 packs compared with walk-in customers, who buy an average of 2 packs.
Online customers buy an average of 5 packs compared with walk-in customers, who buy an average of 1 pack.

Answers

Answer:

The Answer is the second one

Step-by-step explanation:

please help me fast!!!!​

Answers

Answer:  LADB = 29

Step-by-step explanation:

(COSA-SINA)²=
1-2sinA. COSA

Answers

Answer:

see explanation

Step-by-step explanation:

using the identity

sin²x + cos²x = 1

consider left side

(cosA - sinA)²

= (cosA - sinA)(cosA - sinA) ← expand using FOIL

= cos²A - sinAcosA - sinAcosA + sin²A

= cos²A + sin²A - 2sinAcosA

= 1 - 2sinAcosA

= right side

Combine the like terms to create an equivalent expression:
8t +1 + (-4t) + (-6)

Answers

Answer:4t-5

Step-by-step explanation:

8t + 1 + (-4t) + (-6)

8t+1-4t-6

8t-4t+1-6

4t-5

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

[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

Combine like terms to create an equivalent expression:-

8t+1+(-4t)+(-6)

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]

First, +(-4t) is the same as -4t:-

8t+1-4t+(-6)

Same with +(-6):-

8t+1-4t-6

Subtract the t's:-

4t+1-6

And finally,

4t-5

Good luck.

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

Diana walks around a circular swimming pool of diameter 14 feet. What is the distance she has walked?


11 ft
22 ft
33 ft
44 ft

Answers

The distance she has walked around a swimming pool is 44 ft.

What is circumference?

The circumference of the circle is the length of the curve traced out from the fixed point which is equidistant from the locus of the curve.

Given that:-

Diana walks around a circular swimming pool of diameter 14 ft.What is the distance she has walked?

The circumference of the circular swimming pool will be:-

C  =  2 π r

C  =  2  x  π  x  7

C   =  44 ft

Therefore the distance she has walked around a swimming pool is 44 ft.

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44

Step-by-step explanation:

i got this right on my exam i am  in 8th

Arrange the steps in the correct order to solve the equation. Take the log of each side: . Use the Exponential Property and write in decimal form: . Divide each side by log 2: . Find the value of and substitute: . Divide both sides of the equation by 3: . Add 5 to each side of the equation: . Add 4 to each side of the equation: . Simplify: .

Answers

The steps arranged in the correct order is Add 4 to both sides, Divide both sides of the equation by 3, Take the log of each side, Divide each side by log 2, Add 5 to each side of the equation and Use the Exponential Property and write in decimal form.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the equation 3(2 ^ (2t - 5)) - 4 = 10

Add 4 to both sides:

3(2 ^ (2t - 5)) - 4 + 4 = 10 + 4

3(2 ^ (2t - 5)) = 14

Divide both sides of the equation by 3:

[3(2 ^ (2t - 5))] / 3 = 14/3

2 ^ (2t - 5) = 14/3

Take the log of each side:

(2t - 5)log(2) = log(14/3)

Divide each side by log 2:

2t - 5 = log(14/3) / log(2)

Add 5 to each side of the equation:

2t = log(14/3) / log(2)

Use the Exponential Property and write in decimal form:

t = 1.11

The steps arranged in the correct order is Add 4 to both sides, Divide both sides of the equation by 3, Take the log of each side, Divide each side by log 2, Add 5 to each side of the equation and Use the Exponential Property and write in decimal form.

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What is the mode of the data:

Answers

Answer:

3

Step-by-step explanation:

Mode is what number occurs the most in data or in this question which number contains the most X's

Answer:

3 is the mode of the data set shown

Step-by-step explanation:

What is shown in the picture is called a data set. What we need to find is the mode. The mode, is the number shown in the data the most. Each x shown represents how many times the number below it shows in the data set. So, all we need to do is find the column with the most x's.

Through doing this, we can see that the column of 3, has the most x's (4 x's). Meaning that 3 is the mode of the data.

3.

Identify the inverse of f(x)=x^2-9

Answers

A
x=y^2-9
x+9=y^2
square root both sides
+-sqrt(x+9)

jonah has a recipe that’s used 1 1/2 cups of brown sugar and 2 1/3 cups of flour to make 24 muffins. How many muffins can jonah make if he uses all 7 cups of flour?

Answers

Answer:

112 muffins

Step-by-step explanation:

use the butterfly proportions method

first convert the fraction into decimals, then make a table of cups of flower to muffins. then cross multiply to find 'y' and boom. watch me solve it for a better understanding. Its not as difficult as it seems

flour    muffins

1.5              24

7                 y

1.5y = 24 x 7

1.5y = 168

y = 168 ÷ 1.5

y = 112

jonah can make 112 muffins if he uses 7 cups of flower

HELP PLEASE ASAP DUE AT 11:49

Answers

The answer would be 71.97 since u would simply multiply 23.99 by three

HELPLLLLLLL NEED THIS FOR A TEST ASAP
Which expression is a polynomial?
O gx7y³z
0 4x3 -2x2+5x
O-13
O 13x2

Answers

Answer: second answer is a polynomial

Step-by-step explanation:

4x3-2x2+5x is your answer!
A polynomial is an expression consisting of more than 2 terms!

1. Simplify: 8x5 + 9x+ + 4x5 + 5 + 7x4

Answers

Step-by-step explanation:

8*5 + 9x + 4*5 +5 + 7*4

40 + 9x + 20 + 5 + 28

9x + 93

the simplified answer is 9x + 93

Find area and perimeter!!!!!WILL GET BRAINLIEST !!!!!​

Answers

Area: 9•6= 54ft sq Perimeter 9+9+6+6= 30ft
area=L*W
area=9*6
area=54
perimeter= all sides added
perimeter= 6+6+9+9
perimeter 30
i hope that helps

Please help me with this it's algebra WILL GIVE BRAINLIEST and 5 points

Answers

Answer:  y < -x-3

Step-by-step explanation:

slope is rise/run which is 3/-3 = -1

y int is -3

Find the volume of each figure

Answers

Answer:

144km^3

Step-by-step explanation:

[tex]V = (6)(6)(4)\\= 144 km^3[/tex]

is 71.31672 rational or irrational? ​

Answers

Answer:

Rational

Step-by-step explanation:

Rational numbers are numbers that can be made by dividing two integers, or are the product of two integers. This includes demicals (terminating and repeating), fractions where the numerator and denominator are integers, and perfect squares. This is a terminating decimal, so it is a rational number.

hope this helps :)

Work out the following. Simplify your answer where possible.
a) 23+ 14
…………………………
b) 13- 19
…………………………
c) 7 x 46
…………………………
d) 42 divided by 23
…………………………

Answers

i’m probably wrong but yeah i
a 37
b -6
c 322
d 1.82

[tex]\huge\text{Hey there!}[/tex]


[tex]\mathsf{\#1. \\\ 23+ 14}\\\text{START at 23 and go UP 14 spaces to the RIGHT \& you will meet your result.}\\\mathsf{= 37}\\\\\huge\text{Therefore, the answer is: \boxed{\mathsf{37}}}\huge\checkmark[/tex]


[tex]\mathsf{\#2. \\\ 13 - 19}\\\text{START at 13 and go BACK -19 spaces to your left \& you will meet your result.}\\\mathsf{= -6}\\\\\huge\text{Therefore, the answer is: \boxed{\mathsf{-6}}}\huge\checkmark[/tex]

[tex]\mathsf{\#3. \\\ 7 \times 46}\\\mathsf{= 46\times 7}\\\mathsf{= 46 + 46 + 46 + 46 + 46 + 46 + 46}\\\mathsf{= 92 + 92 + 92 + 46}\\\mathsf{= 184 + 138}\\\mathsf{= 322}\\\\\huge\text{Therefore, the answer be: \boxed{\mathsf{322}}}\huge\checkmark[/tex]



[tex]\mathsf{\#4. \\\ 42\div 23}\\\mathsf{\approx \dfrac{42}{23}}\\\mathsf{\approx 1\dfrac{19}{23}}\\\mathsf{\approx 1.826087}\\\\\huge\text{Therefore, the answer is: \boxed{\mathsf{1.826087}}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

Find the range values. y= -x + 6 domain (-2,-11)

Answers

Answer:

range = {8,17}

Step-by-step explanation:

plug in -2 & -11 where x is

y= -(-2) + 6

y= +2 + 6

y= +8

y= -(-11) + 6

y= +11 + 6

y= +17

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For which value of b will the quadratic equation x^2 — bx + 16 = O have
exactly two different integer solutions? Select all that apply.

Answers

Answer:

b = 10

b = 17

Step-by-step explanation:

Hello!

Usually, when you want two different integer solutions, you probably want the quadratic to be factorable.

So what we want to know is that b should be the sum of the factors in 16.

Factors of 16: 1, 2, 4, 8, 16

Factor pairs:

1, 162, 84, 4

Factor Sums:

17108

These are our possible b-values.

Check:

Let's try 17 first:

x² - 17x + 16 = 0(x - 16)(x - 1) = 0x = 16, x = 1

Now 10:

x² - 10x + 16 = 0(x - 8)(x - 2) = 0x = 8, x = 2

And finally, 8:

x² - 8x + 16 = 0(x - 4)(x - 4) = 0x = 4, x = 4

Since x = 4 is a repetitive integer, we cannot use 8 as a value for b.

The answers are b = 10, and b = 17.

Tomic and Brooke make a game of shooting free throws. Each basket is worth 212 points. Each miss is worth −34 points. Out of 30 free throws, they make 16 baskets. What is the correct number of points that Tomic and Brooke scored?

Answers

2916 you do 14x34 because that’s how many they missed which is 476 then you do 16x212 for how many they made and then subtract 476 from that

Mario and Lila each are walking in a class challenge. Mario has walked 6 miles.
Lila has walked 12 miles. Each week, both will walk another 8 miles.

Answers

Answer:

So for however many weeks you just add another 8 and you keep going but their is no equation for the question you just asked.

Male Narwhals have a mean weight of 3500 pounds with a standard deviation of 300 pounds. Assume that weights are Normally distributed.
Sketch and label the Normal curve. (for your reference)
Leave your answers as decimals and round appropriately to 4 decimal places
a) Find the probability that a randomly selected Narwhal weighs between 3600 and 3900 pounds.
b) Find the probability that an SRS of 10 Narwhals have a mean weight between 3600 and 3900 pounds.

Answers

Answer:

5628(288im you po ma'am

If the points are connected, what polygon is formed?
O heptagon
O octagon
O quadrilateral
O triangle

Answers

Answer:

=> Quadrilateral

Step-by-step explanation:

If the points are connected, then quadrilateral is formed.

HELLLLPPP!!A company produces standard size American flags with a measurement of 3’ x 5’. Another company produces mega American flags that are similar to this size. If the shorter side of the mega flag is 48',. What is the length of the longer side?

Answers

Answer: 80

Step-by-step explanation:

3 over 5 times 48 is 240 over 3, simplified is 80

In the triangle below, x=[?] Cm. Round to the nearest tenth.

Answers

Answer:

the answere is 2 tenths because anything higher then 5 is round up by 1 and anything lower than 5 stays the same.

Step-by-step explanation:

Please help me on this!

Answers

Answer:

a. D et er mi ne wh et h er  –(x3 + 5x + 1)

is eq uiv ale nt to  x3 + 5x + 1

A fu nc ti on is ev en if  f ( x )  =  f ( - x )  for all x.

f(-x) = -x³ + 5(-x) + 1

f(-x) = -x³ - 5x + 1

Det ermi ne wh eth er (–x)3 + 5(–x) + 1 is eq uiv ale nt to x3 + 5x + 1

Step-by-step explanation:    

(See pic!)The area of a rectangle is 3 3/4

Answers

Answer:

Width = [tex]\frac{3}{4}[/tex] units

Perimeter = 11 [tex]\frac{1}{2}[/tex] units

Step-by-step explanation:

   Area can be found with;

A = L * W

   We will plug in the known values and solve.

A = L * W

3 [tex]\frac{3}{4}[/tex] = 5 * W

(3 [tex]\frac{3}{4}[/tex] ) / 5 = (5 * W) / 5

(3 [tex]\frac{3}{4}[/tex] ) / 5 = W

[tex]\frac{3}{4}[/tex]  units = W

   Perimeter can be found with;

P = 2L + 2W

   We will plug in the known values and solve.

P = 2L + 2W

P = 2(5) + 2([tex]\frac{3}{4}[/tex])

P = 10 + 1 [tex]\frac{1}{2}[/tex]

P = 11 [tex]\frac{1}{2}[/tex] units

Look at the two-way frequency table below.
Favorite Dog Breeds
Lab Terrier Poodle Other Total
Male 18 22 6 28 74
Female 14 26 8 12 60
Total 32 48 14 40 134
Which statement is true?

A
The number of males who chose a breed labeled as Other is more than two times that of females who chose Other.

B
More people chose Labs than any other breed.

C
The breed of Labs has the least difference between male and female selections.

D
Over half of the respondents preferred Terriers.

Answers

d

Step-by-step explanation:

total of terriers is 48 with is more than 3 but is lower than 134

Please help!!!!!!
What is the geometric possibility of being in the square and not in the circle? The radius of the circle is five inches. Express percent’s to the nearest tenth.

A. 21.5%
B. 23.0%
C. 20.0%

Answers

Answer: A

Step-by-step explanation:

The area of the square is 10^2 = 100.

The area of the circle is (pi)(5^2) = 25pi.

So, the area of the region in the square but not in the circle is 100 - 25pi.

Thus, the desired probability is (100-25pi)/100, which is about 21.5%

Solve the following inequality. Negative one-half p less-than negative 16 Which graph shows the correct solution? A number line going from 27 to 37. An open circle is at 32. Everything to the right of the circle is shaded. A number line going from 27 to 37. An open circle is at 32. Everything to the left of the circle is shaded. A number line going from 3 to 13. An open circle is at 8. Everything to the left of the circle is shaded. A number line going from 3 to 13. An open circle is at 8. Everything to the right of the circle is shaded. answer gets brainleist

Answers

The answer will be A number line going from 27 to 37. An open circle is at 32. Everything to the right of the circle is shaded.

What is inequality?

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.

We have an expression of inequality:-

(-1/2)p < -16

p > 32 . . . . . . multiply by -2; this reverses the inequality symbol

The open circle will be at 32; the line will be shaded for higher values (to the right).

Hence the answer will be A number line going from 27 to 37. An open circle is at 32. Everything to the right of the circle is shaded.

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