Find the linear function for f(1) = 3 and f(4) = 0

Answer:

[tex]x^2-6x+9[/tex]

Step-by-step explanation:

Say you have a function [tex]f(x)=x+1[/tex]. If you wanted to find f(3), you would replace the number in the parentheses, in this case 3, with x, to get [tex]f(3)=3+1=4.[/tex] When combining functions, you should do the same thing.

Here, we have [tex]f(x)=x^2.[/tex] We want to find f(g(x)). So, you should replace x in the function f(x) with the function g(x). [tex]g(x)=x-3.[/tex] So, f(g(x)) would equal [tex](x-3)^2[/tex], which equals [tex]x^2-6x+9[/tex].

Hope this helps!

Answer:

True

Step-by-step explanation:

x(a+4)

Combine terms

ax+4x

9514 1404 393

Answer:

  {(1, 2), (3, 4)}

Step-by-step explanation:

If you want both the relation and its inverse to be functions, there can be no repeated x-values, and no repeated y-values.

In the above pair of points, I have avoided duplicates by making all of the values different. That is not necessary, but it satisfies this problem easily.

Answer:

k calculate it how u see it

Answer:

Step-by-step explanation:

1000ml = 1L

Hence,

5090ml = 5.09L

5200ml = 5.2L

5L

Here,

5.2L is the greatest amount.

Answer: 5,200 ml

Step-by-step explanation:

1 L = 1,000 ml

5 L = 5,000 ml

Answer:

-9 and -6

Step-by-step explanation:

-9 x -6 = 54

-9 - 6 = -15

Answer:

7/45

Step-by-step explanation:

If you can use your calculator*

Just press 0.1555555555555555555555555555 repeatedly

If you cant:

I dont know sorry

Lets find f(n) formula

[tex]\boxed{\sf f(n)=\dfrac{1680}{n}}[/tex]

Now

[tex]\\ \sf\longmapsto f(10)=\dfrac{1680}{10}=168[/tex]

[tex]\\ \sf\longmapsto f(12)=\dfrac{1680}{12}=140[/tex]

[tex]\\ \sf\longmapsto f(16)=\dfrac{1680}{16}=105[/tex]

[tex]\\ \sf\longmapsto f(14)=\dfrac{1680}{14}=120[/tex]

Answer:

[tex]180 ft.^2[/tex]

Step-by-step explanation:

[tex]15 ft.[/tex] × [tex]12 ft.= 180 ft.^2[/tex]

Answer:

m<4 = 14

Step-by-step explanation:

m<4 = m<8

6x - 16 = 2x + 4

   +16          +16

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

6x = 2x + 20

-2x   -2x

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

4x = 20

/4     /4

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

x = 5

m<4 = 6x - 16

= 6(5) - 16

= 30 - 16

= 14

Thus, m<4 = 14

Answer:

m<4 = 14 --> final answer

Answer:

2/3 divided by 4 = .16

Step-by-step explanation:

This problem is pretty simple. Since we cannot divide this we can change the division sign into a multiplication, but to do this we need to also take the reciprocal of 2/3, which means we flip th number so it becomes 3/2. Now we can simply multiply. (1/4)*(3/2) which should give you 3/8

Step-by-step explanation:

steps are in the picture above.

Respuesta 1

Answer:

x+5=14

x=14-5

x=9

Respuesta 2

Answer:

x-5=10

x=10+5

x=15

Respuesta 3

Answer:

2x+1=15

2x=15-1

2x=14

2x/2=14/2

x=7

Respuesta 4

Answer:

3x-1=8

3x=8+1

3x=9

3x/3=9/3

x=9

Answer:

A.

$5352.90

Step-by-step explanation:

A=p(1+r)^t

A=4,000×(1+0.06)^(5)

A=5,352.90

.........................................................

Answer:

The Final Investment Value is    

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

substitute in the formula above  

your answer is 1/36 because if you spin once it would be 1/18 and if spin x2 the answer would be 1/36

Answer:

So basically you add x with 9 and you get 9x

Answer:

[tex]sum \: angle \: of \: a \: triangle \: = 180 \\ here \: 90 + x + y = 180 ....(1)\\ but \: given \: that \: x = \frac{y}{5} \\ y = 5x .....(2)\\ put \: (2) \: in \: (1) \\ = > 90 + x + 5x = 180 \\ 90 + 6x = 180 \\ 6x = 180 - 90 = 90 \\ 6x = 90 \\ x = \frac{90}{6} = 15 \: degree \\ angle \: for \: a \: stright \: \: line \: = 180 \\ x + unknown = 180 \\ 15 + unknown = 180 \\ unknown = 180 - 15 = 165 \: degree \\ thank \: you[/tex]

Every problem has a solution .Lets solve it .

Here given that

[tex]\\ \sf\longmapsto x=\dfrac{y}{5}[/tex]

[tex]\\ \sf\longmapsto y=5x\dots(1)[/tex]

Now

As its a triangle

[tex]\\ \sf\longmapsto 90+x+y=180[/tex]

[tex]\\ \sf\longmapsto 90+x+5x=180[/tex]

[tex]\\ \sf\longmapsto 6x+90=180[/tex]

[tex]\\ \sf\longmapsto 6x=180-90[/tex]

[tex]\\ \sf\longmapsto 6x=90[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{90}{6}[/tex]

[tex]\\ \sf\longmapsto x=15[/tex]

We need not to find y

See the marked angle and x are supplementary angles hence there sum will be 180

[tex]\\ \sf\longmapsto x+15=180[/tex]

[tex]\\ \sf\longmapsto x=180-15[/tex]

[tex]\\ \sf\longmapsto x=165[/tex]

The required angle is 165°.

The entries for Row 3 in step 3 are : 0, -1, -2, 1

R_{1} = Row1

R_{2} = Row  2

R_{3} = Row  3

For the third step, STEP 3 :

THE VALUE OF Row 3 is obtained thus :

[tex]R_{3} = R_{3} - 3R_{1}[/tex]

[tex]From \: step \: 1 : R_{1} = [1 1 1 0][/tex]

[tex]R_{1} = [1 1 1 0] \\  \\

[tex]R_{3} = [3 2 1 1]  \\  

\\ 3R_{1} = 3(1 1 1 0) = [3 3 3 0][/tex]

[tex]R_{3} - 3R_{1} \:  =

(3 - 3), (2 - 3), (1 - 3), (1 - 0) = (0, -1, -2, 1)[/tex]

Hence, the entry for Row 3 in step 3 will be :

(0, - 1, - 2, 1)

Learn more on linear algebra : https://brainly.com/question/13284369

Answer:

-84

Step-by-step explanation:

20 + [-4(32 - 6) ]

20 + [-4(26) ]

20 + (-104)

20 - 104

-84

Answer:

I agree with them thx plan nbj

Answer:

Step-by-step explanation:

Notice that

[tex]96 = 9 \times 4\\= 3^2 \times 2^2\\[/tex]

So the factors of 36 are all of the form [tex]3^a\times 2^b[\tex] where [tex]0\leq a,b\leq 2[/tex].

If we list all of them we have

Answer:

Factors of 36:

1, 2, 3, 4, 6, 9, 12, 18 and 36  and it is composite

Step-by-step explanation:

hope it helps

Answer:

jhk

Step-by-step explanation:

√5(√10 + √3) = √(5 · 10) + √(5 · 3) =

= √50 + √15 = √(25 · 2) + √15 =

= √(5² · 2) + √15 = 5√2 + √15 ← the end

Step-by-step explanation:

SP=?

L%=15%

CP=$20

WE KNOW,

L= L%/100×CP

L= 15/100×20

L= 15/5

L= 3

NOW,

L = CP-SP

Or, 3 = 20 - SP

Or,SP= 20 -3

SP=RS 17

Answer: