The new graph is the inverse of the time vs height graph, but I’d not a function. How would you restrict the domain on the original function to make it invertible?

Answer:

[tex] {3}^{2} \times {3}^{ - 6} \\ = {3}^{2 + ( - 6)} \\ = {3}^{2 - 6} \\ = {3}^{ - 4} [/tex]

Answer:

567

Step-by-step explanation:

It is going to be arithmetical sequence, a1=6

d=3, n=18

Sn= (2a1+d(n-1))/2*n= (2*6+3*17)/2*18= 63*9=567

The arrangement of fruits trees in the farm is modeled after an arithmetic progression, thus, there are 567 fruit trees in the farm.

The number of fruits trees in the farm represents an arithmetic progression as each row of trees in the farm increases by 3 more than the one after it.

The number of trees is calculated using the arithmetic formula as follows:

[tex]S_n = \frac{2a + d(n - 1)}{2}× n[/tex]

where

Substituting the values

[tex]S_n = \frac{2 \times 6 + 3(18 - 1)}{2}× 18 = 567[/tex]

Therefore, there are 567 fruit trees in the farm.

Learn more about arithmetic progression at: https://brainly.com/question/6561461

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Answer:

You will save $14.00

Step-by-step explanation:

If the shirt is 35% off, it means that you will effectively save 35% of the price. 35% of the price in this case is 35% of 40, which is $14.00

If f(X)= 7x +5/3 - x =6x +5/3

y= 6x +5/3

6x= y-5/3

f^-1(y)=x=(y-5/3)/6

So we can write

f(f^-1(y))= f((y-5/3)/6) = 6 (y-5/3)/6 +5/3= y-5/3+5/3= y

The same result can be obtained for f^-1(f(x))=x

If the function is f(x)= 7x +5/(3-x) then it is not invertible since it is not injective (pictures)

Step-by-step explanation:

3(5)+5÷4

15+5÷4

20÷4

5 Answer

Answer:

16.25

Step-by-step explanation:

Let x = 5. Substitute the value for the variable.

3(5) + 5 ÷ 4

15 + 5 ÷ 4

15 + 1.25

16.25

6k · 1/6 = 6/6k = k

.......

Step-by-step explanation:

hopefully it is clear and understandable

:)

Answer:

a) 40 + 10d where is the distance

b) 160 km

Step-by-step explanation:

→ Substitute 12 into the formula

40 + ( 10 × 12 ) = 160

Answer:

It's two inches

Answer:

a = 3

Step-by-step explanation:

2(a−4)+15=132

a−8+15=132

a=13−15+82

a=6

a=6/2

a=3

Answer:

[tex] 9\times {y}^{3} [/tex]

this should be

[tex]9 {y}^{3} [/tex]

The expression for 9 is multiplied by the cube of a number will be 9X³.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that 9 is multiplied by the cube of a number. The expression can be written by assuming that the number is x.

Expression = 9 x Cube of a number

Expression = 9 x ( X )³

Expression = 9X³

Therefore, the expression for 9 multiplied by the cube of a number will be 9X³.

The complete question is given below:-

9 is multiplied by the cube of a number then write an expression for that.

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Answer:

a = 0

Step-by-step explanation:

given:

[tex]g(x) = -1x - 4[/tex]

solve for a, when:

[tex]g(x) = -4[/tex]

replace x with -4

~~~~~~~~~~~~

➡️ [tex] a = -1(-4) - 4 [/tex]

➡️ [tex] a = 4 - 4[/tex]

➡️ [tex] a = 0 [/tex]

9514 1404 393

Answer:

  50.3 inches

Step-by-step explanation:

720 degrees is 2 full turns, or twice the circumference of the pulley. The circumference is given by ...

  C = 2πr

  C = 2π(4 in) = 8π in

Then 2 times that is ...

  height lifted = 2(8π in) = 16π in ≈ 50.3 in

The object was lifted about 50.3 inches.

Answer:

gcfcfud g fhhfhchgdjchfhfhgfhhufxyvhcj v hxhcnchchdfhvhdnfjc

Answer:

212205

Step-by-step explanation:

Well each letter is a number of a alaphabet

Answer:

sorry i can't

please mark me as brainlest

Answer:

1/9 probability

Step-by-step explanation:

The total cookies are 36 and the new flavors are 4, if you simplify 4/36, it equals 1/9

Answer:

I'm not sure. What I would do, though, is find the difference of the two times and then find the percentage of that within the original time. So the difference is .75. So the percentage would be .25%. Just an educated guess.

Answer:

a)

Since t is between 0 and 15, and the house was purchased 8 years ago, we have two pairs of values:

Find the slope, m:

The value of b is 42000, since at t = 0, V = 42000

So the equation is:

b)

The graph is attached.

When V = 72500, t = 9.6 (approximately)

c)

When V = 74000

d)

When V = 80250

Answer:

hsjjsjsjjsjjdjjsnnsjsj

Answer:

1

6

d

+

2

3

=

1

4

⋅

(

d

−

2

)

Combine

1

6

and

d

.

d

6

+

2

3

=

1

4

⋅

(

d

−

2

)

Simplify

1

4

⋅

(

d

−

2

)

.

Tap for more steps...

d

6

+

2

3

=

d

4

−

1

2

Move all terms containing

d

to the left side of the equation.

Tap for more steps...

−

d

12

+

2

3

=

−

1

2

Move all terms not containing

d

to the right side of the equation.

Tap for more steps...

−

d

12

=

−

7

6

Multiply both sides of the equation by

−

12

.

−

12

⋅

(

−

d

12

)

=

−

12

⋅

(

−

7

6

)

Simplify both sides of the equation.

Tap for more steps...

d

=

14

Answer:

(-1,0.5)...

the inverse "f^-1" of an exponential function is BY DEFINITION the "Log" function

Step-by-step explanation:

Step-by-step explanation:

X={-4,-3,-2,-1,0,1}

Write integers which are greater than -5 but less than 2.

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

Answer:

16 cm2

Step-by-step explanation:

By equa tion of area of triangle: S = 1/2 * height * base

Triangle B: 32  = 1/2 * 8 * x --> x = 8 (cm)

The base of triangle A is half of the base of triangle B so it is 4 cm.

The area of triangle A = 1/2 * 8 * 4 = 16 (cm2)

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]\frac{1}{2}x+7[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Simplifying the equation...}}\\\\\frac{1}{2}(x+14)\\------------\\\rightarrow \frac{1}{2}*x = \frac{1}{2}x\\\\\rightarrow\frac{1}{2}*14=7\\\\\rightarrow \frac{1}{2}(x+14)= \boxed{\frac{1}{2}x+7}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

Rachel will make 30 free-throws!

Step-by-step explanation:

Hello!

I came up with this solution with some easy mental math! If you weren't aware, 60% of 50 is a whole number! Meaning that 60% of 50 is 30. You could even double 50 to make it 100, everyone knows that dealing with percentages with the number 100 make them a whole lot easier!

Back to what I was saying, if you used 100, you would also have to take 60% of 100, which is 60. And then have to divide 60 by 2 because you doubled the 50! Giving you 30 free-throws, which is the correct answer!

Hope this helped! Let me know if you have any further questions! :)

Answer:

Think u have to find out what the x means and go from there

Step-by-step explanation:

x³-x

by taking out common term, we get

x(x²-1)

Now, by using the formula of a²-b², we get

x(x²-1²)

x(x+1)(x-1)

I hope it helped U

stay safe stay happy

Answer:

[tex] {x}^{3} - x = x(x + 1)(x - 1)[/tex]

I hope I helped you^_^

Answer:

No solution

Step-by-step explanation:

Distribute the right side of the equation.

This will make it 3/8f+1/2=3/8f - 18

And, since 3/8f plus 1/2 will never equal the same thing as 3/8f minus 18, there are no solutions

Answer and Step-by-step explanation:

First, distribute the 6 to the [tex]\frac{1}{16} f[/tex] and -3.

[tex]\frac{3}{8} f + \frac{1}{2} = \frac{6}{16} f - 18\\\\\frac{3}{8} f + \frac{1}{2} = \frac{3}{8} f - 18[/tex]

If you were to subtract [tex]\frac{3}{8} f[/tex] from both sides of the equation, you would be left with [tex]\frac{1}{2} = -18[/tex], which isn't correct.

This means that there are NO solutions to this equation, or no value of f that will make both sides of the equation equal to each other.

#teamtrees #PAW (Plant And Water)

I hope this helps!

Answer:

so our x is <

less than

explanation: 3>2x= 1.5<x

x- 4>2 =6<x

[tex]\\ \rm\Rrightarrow 2x(5-x)+3x^2[/tex]

[tex]\\ \rm\Rrightarrow 10x-2x^2+3x^2[/tex]

[tex]\\ \rm\Rrightarrow 10x+(-2+3)x^2[/tex]

[tex]\\ \rm\Rrightarrow 10x+x^2[/tex]

[tex]\\ \rm\Rrightarrow x^2+10[/tex]