Find the inverse of function f

Answer:

- 2 ft/ s

Step-by-step explanation:

The rate of change is the slope m of the line.

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 80) and (x₂, y₂ ) = (40, 0) ← 2 points on the line

m = [tex]\frac{0-80}{40-0}[/tex] = [tex]\frac{-80}{40}[/tex] = - 2

Rate of change is - 2 ft/ s

Given:

A right angled triangle.

To find:

The value of x.

Solution:

We have,

Base = x

Hypotenuse = [tex]\sqrt{5}[/tex]

In a right angle triangle,

[tex]\cos \theta = \dfrac{Base}{Hypotenuse}[/tex]

For the given triangle,

[tex]\cos 45^\circ= \dfrac{x}{\sqrt{5}}[/tex]

[tex]\dfrac{1}{\sqrt{2}}= \dfrac{x}{\sqrt{5}}[/tex]

Multiply both sides by [tex]\sqrt{5}[/tex].

[tex]\dfrac{\sqrt{5}}{\sqrt{2}}= x[/tex]

[tex]\dfrac{\sqrt{5}}{\sqrt{2}}\times \dfrac{\sqrt{2}}{\sqrt{2}}= x[/tex]

[tex]\dfrac{\sqrt{10}}{2}= x[/tex]

Therefore, the required value of x is [tex]\dfrac{\sqrt{10}}{2}[/tex].

Answer:C

Step-by-step explanation:

The polynomial can be factored using the binomial theorem is

1,000x³  – 2,100x² + 1,470x – 343.

Assertion that the sum of the nth power of the product of two positive integers a and b may be written as the sum of the n + 1 terms of the form for any positive integer n.

If a and b are real numbers and n is a positive integer, then

[tex](a + b)^n =^nC_0 a_n + ^nC_1 a_{n-1} b_1 + ^nC_2 a_{n-2} b_2 + ... 1.[/tex]

Given:

Using Binomial we can write

(a+ b)³ = a³ + b³ + 3a²b + 3ab²

and, (a+ b)² = a² + 2ab + b²

So, 100x²+ 70x + 49 and 100x² + 210x + 49 cannot be factors using Binomial Theorem because the correct expansion would be

(10x+ 7)² = 100x² + 140x + 49

and, 1,000x³  – 2,100x² + 1,470x – 343 can be factored using Binomial theorem.

As, (10x - 7)³ = 1000x³ -2100x² + 1470x - 343.

Learn more about Binomial theorem here:

https://brainly.com/question/27813780

#SPJ6

Answer: 4

Step-by-step explanation:

Answer:

124589l

Step-by-step explanation:

Nası ndsl merhaba hocam nasılsınız merhaba canım nasılsın merhaba canım benim ya da arama yapmayınız nasılsın bir yöntem olup olmadığını düşünelim sırasıyla görüşmek dileğiyle iyi geceler tatlı uykular haram olsun

Answer: you would look for y and then once you have y you put it into desemos which is a graphing app and then you get your line

Step-by-step explanation: you would do +3x on both sides with out doing it to the 4y and the. You would get 4y =23+3x and then you divide everything by 4 even the 4y and then you would get y= 23/4 + 3/4x and then you put it into desemos and it will give you it graphed

Answer:

Original Patio:

-perimeter - 36 feet

-area - 80 square feet

New Patio:

-perimeter - 40 feet

-area - 96 square feet

Answer:

5-( 2.40+1.33 )= $1.27

Step-by-step explanation:

If you add $2.40 to $1.33 you get $3.73, the total amount of money she spent on drinks and snacks. Then you would need to subtract $3.73 from $5.00, which is $1.27.

I hope this helps!

Answer:

1

Step-by-step explanation:

So just follow order of operations

9-6=3

3^2=9

9*2=18

18/18=1

Final answer is 1

Answer:

-2

Step-by-step explanation:

The line is going down 2 over 1 making it -2/1

this becomes -2

Answer:

-2

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

1/2(4x – 8) + 3x = 36

~Simplify left side

2x - 4 + 3x = 36

~Combine like terms

5x - 4 = 36

~Add 4 to both sides

5x = 40

~Divide 5 to both sides

x = 8

Best of Luck!

Answer:

A. 21/18

Step-by-step explanation:

The numerator pattern is adding 2 every time to the difference (ex: difference between 1 and 3 is 2, then difference between 3 and 7 is 4). Meanwhile the denominator is only adding 2 everytime.

Answer:

B- 27/9

Step-by-step explanation:

Answer: Rafael is incorrect

Step-by-step explanation: 5 is not equal to -5. It is the additive inverse, or negative reciprocal.

Answer:

No he is not because 5=5 when talking about absolute value I think sorry I couldn't show the number line

Step-by-step explanation:

Answer:

132

Step-by-step explanation:2 x 2 x 3 x 11

Answer:

11

Step-by-step explanation:

Answer:

a=5.5 I hope this helped you

Answer:

6

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

90 Degrese Rotation

Answer:

c

Step-by-step explanation:

Step-by-step explanation:

z+3/2=0

find the LCM of z +3/2

2z+3/2=0

cross multiply

0=2z+3

-3=2z

z=-3/2

z=-1.5

Answer:

D

Step-by-step explanation:

H77777777

Answer:

48%

Step-by-step explanation:

If the coin is flipped 250 times, and lands on tails 120 times, set this up as a fraction. Put 250 on the bottom, and 120 on the top (because you want to know percentage of tails for 250 coin flips) to get 120/250. This is 0.48, to turn this into a percentage multiply by 100, 48%. You can check this answer by taking 0.48(250) and you will get 120.

Answer:

0.5 = 0.25

1=2

2=4

2.5=5

3=6

Step-by-step explanation:

distance divided by 2 equals the time

i hope this helps!

Answer:

-12x + 4

Step-by-step explanation:

Just write the givens like this f(x) + g(x)  

f(x) + g(x) = -7x + 1  + - 5x + 3

f(x) + g(x) = - 7x + 1 - 5x + 3

f(x) + g(x) = - 12x + 4

Answer:

graph d .

\

Step-by-step explanation:

Answer:

(√9)^2x-1/2 = 1/81

3^2x-1/2 = 1/(3)⁴. (as √9 = 3)

3^2x-1/2 = 3^-⁴. (as 1/a^m = a^-m)

as base are equal exponents are equal

so 3 gets cancelled out

2x-1/2 = -4

(4x-1)/2 = -4

4x-1 = -8

x = -7/4

hope this helps

Step-by-step explanation:

Answer:

The estimated answer would be 8

Step-by-step explanation:

When you divide 32 by 4 the answer is 8 and so using mental math you can estimate the answer to be 8 or somewhere around it

Answer:

(A). x ≥ [tex]\frac{16}{5}[/tex] and x ≤ - [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

5x - 4 ≥ 12 ⇔ 5x ≥ 16 ⇒ x ≥ [tex]\frac{16}{5}[/tex]

and

12x + 5 ≤ - 4 ⇔ 12x ≤ - 9 ⇔ 4x ≤ - 3 ⇒ x ≤ - [tex]\frac{3}{4}[/tex]