f(x)=ax+b,f(3)=3 and f(2)=1 find the value of a and b​

Answers

Answer 1

Answer:

a=2, b=-3

Step-by-step explanation:

f(x) = ax+b

f(3)=3, 3a+b=3

f(2)=1, 2a+b=1

Solving these two equations, we get a=2, b=-3


Related Questions

a piece of ribbon measures 4 meters how many pieces of 5 centimeters long can be cut from it

Answers

1 meter = 100 cm

4 meters x 100 = 400 cm

Divide total cm by cm per piece:

400/5 = 80

80 pieces.

Find the value of this expression if x - -7.
x2 - 1
x+4
Enter the correct answer

Answers

here are the answers in order
a. -15
b. -3

A student’s incorrect attempt to simplify an exponential expression is show in the box

What is his mistake!!!!!

Answers

Answer:

A

Step-by-step explanation:

x^a/x^b=x^(a-b). General rule of exponents

Simplify please explain step by step

Answers

Answer:

-4.4

Step-by-step explanation:

=3-[8-(7-6.4)]

=-4.4

simplify
[tex] \sqrt{15} ( - \sqrt{3n} + 4n)[/tex]
please show all work!​

Answers

Answer:

[tex] \displaystyle - 3 \sqrt{5n} + 4 \sqrt{15} n[/tex]

Step-by-step explanation:

we would like to simplify the following expression:

[tex] \displaystyle \sqrt{15} ( - \sqrt{3n} + 4n)[/tex]

recall distribution property thus:

[tex] \displaystyle - \sqrt{3n} \sqrt{15} + 4n \sqrt{15} [/tex]

remember that,

[tex] \displaystyle \sqrt{a} \sqrt{b} = \sqrt{ab} [/tex]

so assign variables:

[tex]a \implies 3n[/tex][tex]b \implies 15[/tex]

simplify Multiplication:

[tex] \displaystyle - \sqrt{45n} + 4 \sqrt{15} n[/tex]

rewrite 45 as 9×5:

[tex] \displaystyle - \sqrt{9 \times 5n} + 4 \sqrt{15} n[/tex]

utilize the formula:

[tex] \displaystyle - \sqrt{9 } \sqrt{5n} + 4 \sqrt{15} n[/tex]

simplify square:

[tex] \displaystyle \boxed{- 3 \sqrt{5n} + 4 \sqrt{15} n}[/tex]

and we're done!

Laws to be used:-

[tex]\boxed{\sf a(b+c)=ab+bc}[/tex]

[tex]\boxed{\sf \sqrt{p}\sqrt{q}=\sqrt{pq}}[/tex]

Solution

[tex]\\ \rm\longmapsto \sqrt{15}(-\sqrt{3n}+4n)[/tex]

[tex]\\ \rm\longmapsto -\sqrt{15}\sqrt{3n}+4\sqrt{15}n[/tex]

[tex]\\ \rm\longmapsto -\sqrt{3(15)n}+4\sqrt{15}n[/tex]

[tex]\\ \rm\longmapsto -\sqrt{3(3)(5)n}+4\sqrt{15}n[/tex]

[tex]\\ \rm\longmapsto -3\sqrt{5}n+4\sqrt{15n}[/tex]

Or we can break 15n

[tex]\\ \rm\longmapsto -3\sqrt{5}n+4\sqrt{3(5)n}[/tex]

[tex]\\ \rm\longmapsto -3\sqrt{5}n+4\sqrt{3}\sqrt{5n}[/tex]

Find the perimeter of A(1, 1), B(7, 1), and C(1, 9).

Answers

Answer:

24units.

Step-by-step explanation:

steps are in picture.

If you have any question about it please ask.

PLEASE help!10 points​

Answers

Answer:

-24

Step-by-step explanation:

steps are in the picture above.

Note:if you need to ask any question please let me know.

7 out of 10 students can ride in a van on the field trip. In how many ways can the 7 students be selected

Answers

10p2=90 is your awnser

7) 17 is this number a integer, whole number, or rational number.​

Answers

Answer:

Integer, whole number, and a rational number

Solve the blank boxes on the graph and answer the question in red

Answers

Answer:

I can’t see the red question.

Step-by-step explanation:

Pre-Calc HELPP I’ll give brainliest

Answers

The answer is: 1/3 (5)

Pls help I’m having trouble

Answers

Answer:

1161 ft

Step-by-step explanation:

36 ft with the triangles, 900 ft with the squares, 225 ft for the bottom square, so total is 1161 ft.

Solve for X when 7cos2x = 5

Answers

Answer: x = 22.21

Step-by-step explanation:

Given

7 · cos (2x) = 5

Divide 7 on both sides

7 · cos (2x) / 7 = 5 / 7

cos (2x) = 5/7

Divide cosine on both sides (meaning applying cos⁻¹ to the right-hand side)

2x = cos⁻¹ (5/7)

Divide 2 on both sides

2x / 2 = [cos⁻¹ (5/7)] / 2

[tex]\boxed {x=22.21}[/tex] (Rounded to the hundredth place)

Hope this helps!! :)

Please let me know if you have any questions

Classify each number below as a rational number or irrational number

Answers

Answer:

[tex] - \frac{19}{10} \: » \: { \sf{rational}} \\ \\ 20\pi \: » \: { \sf{irrational}} \\ \\ { \sf{ - \sqrt{49} \:» \: rational }}[/tex]

because -√49 = -7

[tex]85. { \bar {93}} \: » \: { \sf{rational}} \\ \\ 2 \sqrt{5} \: » \: { \sf{irrational}}[/tex]

First person to answer this correctly gets Branilist!

Answers

Hello Im from Turkiye. And don't worry I will help you.


Questions 9 = -1
Questions 10 = -15

Answer:

9. -1

First combine the like terms (-5x and 3x), the move -9x to the other side. That equals 7x. Then move -16 (turn positive) and add it to -23, that equals -7. Divide both sides by 7.

10. 9

Add 1 to -24. Then move -23(turn positive) to the other side. Combine with -5 and you get 18. Then move 6r and subtract it from 8r. Divide both sides by 2.

11. 11

Subtract 7a from 9a= 2a. then add 3a and 2a and move 5a to the other side. Add -5a and 2a = -3a. Divide both sides by -3.

12. 5

Combine the like terms. Move -25 and turn it positive and then add it to 20= 45. Turn -2m positive and add it to 7m. Divide both sides by 9.

13. -5

Use the distributive property on both sides. Move 2k and subtract it from 4k= 2k. Move -8 and add it to -18= -10. Divide both sides by 2.

14. -2

Use the distributive property. Move -5n and add it to -6m= -m. Move 18 and subtract it from 20= 2. Divide both sides by -1.

15. -3

Use the distributive property and combine like terms. Move 4p to the other side and subtract from -7p= -11p. Change the sign of 16 and add to 17= 33. Divide both sides by -11.

16. -13

Use the distributive property (pay attention to signs) and combine the like terms. Move -8v, turn positive, and add to -6v= 2v. Move 14, turn negative, and combine with -12= -26. Divide both sides by 2.

Cho hình chóp có cạnh đáy là hình vuông cạnh bằng . Tam giác cân tại và mặt bên vuông góc với đáy, biết . Tính thể tích của khối chóp .

Answers

Answer:

Madarchod Benchod You Idiota You French

Find the unit rate $30 for 2 1/2 hour of work.

Answers

Answer:

$12/ 1 hour of work

Step-by-step explanation:

30 : 2/12

Divide both sides by 2 1/2

12 : 1

If f(x) = 24 +5, then what is the remainder when f(x) is divided by 2 + 2?

Answers

Answer:

The question is incorrect as it lacks the "x" component. Function f(x) cannot be stated without the x, elseways it couldn't be called "f(x)"

Oceanside bike rental shop charges 14 dollars plus 7 dollars an hour for renting a bike. Sara paid 77 dollars to rent a bike. How many hours did she pay to have the bike checked out

Answers

Answer:

she paid for 77 hours

Step-by-step explanation:

First add 14+7 which equals 21 then keep adding 7 which is the total charge  each our until you reach 77.

2 dived (8+3x3-4^2) What is the answer

Answers

Answer:

2

Step By Step Explanation:

= 2*(8+3*3-4^2)

= 2*(8+3*3-16)

= 2*(8+9-16)

= 2*(17-16)

= 2*(1)

= 2*1

= 2

Answer: 2

Step-by-step explanation:

2/(8+9-16)

2/1 = 2

8.
The
square of a number is always greater than the number.

Answers

Answer:

The above given statement is true

What is the volume of a cone with a height of 27 cm and a radius of 13 cm? Round your answer to the nearest tenth

Answers

Answer:

[tex]\huge\boxed{\sf V = 4778.4\ cm\³}[/tex]

Step-by-step explanation:

Given:

Height = 27 cm

Radius = 13 cm

Formula:

[tex]Volume \ of \ cone \ V = \frac{1}{3} \pi r^2h[/tex]

Solution:

V = 1/3 (3.14)(13)²(27)

V = (3.14)(169)(9)

V = 4778.4 cm³

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807Peace!

find the sum of first 50 terms in the sequence 10n-15.

Answers

Answer:

485 bro just do it with calculator

Step-by-step explanation:

10×n-15

10×50-15

485

Answer:

12,000.

Step-by-step explanation:

First term = 10(1) - 15 = -5

50th term = 10(50) - 15 = 485

Sum of 50 terms = (50/2)(-5 + 485)

= 25 * 480

= 12,000

If R is the midpoint of OS , RS = 2x - 4, ST = 4x – 1, and RT = 8x – 43, find QS.

Answers

Answer:

56

Step-by-step explanation:

The numerical length of QS is 128.

We have a Line Segment QT and a point R lies on the midpoint of QS.

We have to determine length of QS.

What is Mid - Point of a line?

The mid - point of a line is a point that divides it into two parts of equal lengths.

According to question, we have -

RS = 2x - 4

ST = 4x – 1

RT = 8x – 43

Since, R is the midpoint of QS -

QR = RS = 2x - 4

QS = QR + RS = 2 x QR = 2(2x - 4)

Now -

ST = RT - RS

ST = 8x - 43 - 2x + 4

ST = 6x - 39

and

ST = 4x - 1     [Given]

Therefore -

6x - 39 = 4x - 1

6x - 4x = - 1 + 39

2x = 38

x = 19

Now -

QS = QR + RS = 2RS

QS = 2(2x - 4) = 2( 2 x 19 - 4) = 2(38 - 4) = 2 x 34 = 128

Therefore -  QS = 128

Hence, the numerical length of QS is 128.

To solve more questions on Lines and Lengths, visit the link below -

brainly.com/question/16345328

#SPJ6

An interger p is two-third of another and their difference is 10.find the two interferes

Answers

Answer:

30 , 20

Step-by-step explanation:

Let the other number  = x

[tex]p = \dfrac{2}{3}x\\[/tex]

x - p = 10    

Plugin p = (2/3)x in this equation,

[tex]x -\dfrac{2}{3}x=10\\\\\dfrac{3}{3}x-\dfrac{2}{3}x=10\\\\\dfrac{1}{3}x=10\\[/tex]

Multiply both side by 3

x = 10*3

x = 30

[tex]p=\dfrac{2}{3}*30\\\\p= 2 * 10[/tex]

p = 20

Answer:

30 and 20

Step-by-step explanation:

We have an integer p and another [tex]\frac{2}{3}[/tex] p , their difference is 10 , so

p - [tex]\frac{2}{3}[/tex] p = 10 ( multiply through by 3 to clear the fraction )

3p - 2p = 30 , that is

p = 30

and [tex]\frac{2}{3}[/tex] × 30 = 2 × 10 = 20

The 2 integers are 30 and 20

in a scientific notation, M •10^n must be greater than or equal to 1 and less than

Answers

In a scientific notation, M •10^n must be greater than or equal to 1 and less than 10.

can you figure out what 2x° equals and (90-x)°​

Answers

I HOPE IT WILL HELP YOU.

Have a great day ahead.

Step by step please (variable expression)

Answers

Answer:

139

Step-by-step explanation:

Substitute x for 15.

9(15)+4

Then multiply:

135+4

And then add:

139

Divide. Write your answer as a fraction in simplest form. − 10 2/7÷(−4 4/11)=

Answers

Hi ;-)

[tex]-10\dfrac{2}{7}:(-4\dfrac{4}{11})=-\dfrac{10\cdot7+2}{7}:(-\dfrac{4\cdot11+4}{11})=\\\\\\=-\dfrac{70+2}{7}:(-\dfrac{44+4}{11})=-\dfrac{72}{7}:(-\dfrac{48}{11})=-\dfrac{72}{7}\cdot(-\dfrac{11}{48})=\dfrac{99}{42}=\boxed{2\frac{15}{42}}[/tex]

What is this expression in simplified form?
3/3 x 6/6

Answers

Answer:

18/18 = 1

Step-by-step explanation:

18/18 = 1 it was very easy so right now I’m just using a lot of words
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