The inverse of Fx) is a function.
True or False

Answer:

- 5198/11

Step-by-step explanation:

The question is an illustration of permutation and combinations.

The given parameters are:

[tex]\mathbf{n = 7}[/tex]

[tex]\mathbf{r = 4}[/tex]

(a) Choose 4 of 7 paintings

Choosing 4 of 7 paintings implies combination.

So, we have:

[tex]\mathbf{^nC_r = \frac{n!}{(n - r)!r!}}[/tex]

Substitute values for n and r

[tex]\mathbf{^7C_4 = \frac{7!}{(7 - 4)!4!}}[/tex]

[tex]\mathbf{^7C_4 = \frac{7!}{3!4!}}[/tex]

Expand

[tex]\mathbf{^7C_4 = \frac{7 \times 6 \times 5 \times 4!}{3 \times 2 \times 1 \times 4 !}}[/tex]

[tex]\mathbf{^7C_4 = 35}[/tex]

Hence, the number of ways she can choose 4 out of the 7 paintings is 35

(b) Arrange 4 of 7 paintings

Arranging 4 of 7 paintings implies permutation.

So, we have:

[tex]\mathbf{^nP_r = \frac{n!}{(n - r)!}}[/tex]

Substitute values for n and r

[tex]\mathbf{^7P_4 = \frac{7!}{(7 - 4)!}}[/tex]

[tex]\mathbf{^7P_4 = \frac{7!}{3!}}[/tex]

Expand

[tex]\mathbf{^7P_4 = \frac{7 \times 6 \times 5 \times 4 \times 3!}{3!}}[/tex]

[tex]\mathbf{^7P_4 = 840}[/tex]

Hence, the number of ways she can arrange 4 out of the 7 paintings is 840

Read more about permutation and combinations at:

https://brainly.com/question/15301090

Answer: To do so, reflect it on the Y axis and then move it 4 times.

Step-by-step explanation:

Step-by-step explanation:

8 + b/2 = 6

8 more than the quotient of is 6

a number and 2

Answer:

9

Step-by-step explanation:

3 x 5 =15 + 3 = 18. so 18 over 5 divided by 2 over 5. you flip the 2nd fraction and multiply. the 5s cancel. 18 ÷2 = 9

Answer:

5.25 miles.

Step-by-step explanation:

1) Rosa spends 10 minutes in 3/4=0.75 miles, then

2) Rosa can spend 70 in 0.75*7=5.25 miles.

Answer:

5.3 miles

Step-by-step explanation:

3miles/40min =x miles/70min

cross multiply the fractions

3*70 = 40*x

210=40x

divide by 40 on both sides

210/40 = 5.25

Answer:

One solution

Step-by-step explanation:

3x+x+2=8x-4x+2

Combine like terms.

4x+2=4x+2

Solve for x

4x+(-4x)+2=4x+(-4x)+2

2=2

This equation has one solution because 2 only equals 2 and will not equal any other number.

Answer:

C=22

Step-by-step explanation:

8+9+10+11+x divided by 5 gives 12

38+x divide by five gives 12

12×5=60

38+x=60

x=22

brainlist please

Answer:

x = 11 ; y =13

Step-by-step explanation:

3x - 2 y = 7    -------------(I)

        y = x + 2  -----------(II)

Substitute y = x + 2 in equation (I)

3x - 2(x + 2) = 7

3x - 2*x + 2*(-2) = 7

3x - 2x - 4 = 7

      x - 4 = 7

           x = 7 + 4

x = 11

Plugin x = 11 in equation(II)

y = 11 + 2

y = 13

Answer:

$6.69

Step-by-step explanation:

Since we know the total cost of 5 pairs of gloves, all we have to do to find the unit price is divide the total cost by how many gloves were are being sold:

33.45 / 5 = 6.69

Therefore, one pair of gloves costs $6.69

Hope this helps :)

Step-by-step explanation:

5(3x+2)-2(4x-1)

15x+10-8x+2

7x+12

Answer:

x =-26

Step-by-step explanation:

-15x = 390

Divide each side by -15

-15x/-15 = 390/-15

x =-26

Answer:

X = -26

Step-by-step explanation:

Divide both sides by -15.

390/-15 = -26

X is equal to -26.

Answer:

ummm?

Step-by-step explanation:

Answer:

Something

Step-by-step explanation:

I have no idea what u just asked

Answer: 2

Step-by-step explanation:

Perimeter is all the sides added up together so a square has 4 sides. 8/4= 2

Answer:

a(0,-8)

Step-by-step explanation:

4x0=0

0--8= 8

Answer:

the answer is the 3rd one.

Step-by-step explanation:

Answer:

7.5×10^-3

Step-by-step explanation:

[tex] \frac{ 0.027}{64000} = \frac{2.7 \times{10}^{ - 2} }{6.4 \times {10}^{4} } [/tex]

due to the law of indices :

[tex] = 4.21875 \times 10 ^{ - 7} [/tex]

don't forget

(0.027/64000)⅓

so :

[tex] ({4.21875 \times {10}^{ - 7} })^{ \frac{1}{3} } [/tex]

i.e third root of the answer above

[tex] = 7.5 \times {10}^{ - 3} [/tex]

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: uoᴉʇnlos ɹnoʎ sᴉ ǝɹǝɥ

Answer:

p = 18

Step-by-step explanation:

4(p-7) = 44

The operations in order are to distribute first, 4p - 28 = 44

Isolate the variable, 4p = 72

and divide for the answer, p = 18

P stands for pictures, the number of pictures that can be saved to your photo stream at once is 18.

Sorry for the wait.....

Hope this helps and Happy Halloween!!!!

The effective rate for a payday loan is 3.21%.

The amount that the lender charges the borrower over and beyond the principal amount is referred to as the interest rate. A person who deposits money in a bank or other financial institution also earns additional income in terms of the recipient, known as interest, taking into account the time value of money.

Given:

Amount Financial = 430

Financial Charge= 53.29

Term of loan= 14 days

So, the effective rate will be

= (53.29/430 ) x 365

= 45.2345

and, =45.2345/14

= 3.21

Hence, the effective rate is 3.21%.

Learn more about interest here:

https://brainly.com/question/13324776

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Answer:

A=6 cm, D=4.5cm and E=80 cm

Step-by-step explanation:

Answer:

A is 30 inches

b is Yes

c

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

The perimeter is the sum of the sides of the figures

(1)

The figure has 5 congruent sides , then perimeter P

P = 5 ([tex]\frac{2}{5}[/tex] x + 1) ← multiply each term in the parenthesis by 5

  = 2x + 5

(2)

There are 4 congruent sides of ([tex]\frac{5}{2}[/tex] x - y) and 8 of y , then

P = 4([tex]\frac{5}{2}[/tex] x - y) + 8y ← distribute parenthesis by 4

  = 10x - 4y + 8y ← collect like terms

  = 10x + 4y

(3)

P = 2([tex]\frac{2a-b}{2}[/tex] ) + 2([tex]\frac{3b}{2}[/tex] ) + 2a ← distribute parenthesis

  = 2a - b + 3b + 2a ← collect like terms

  = 4a + 2b

Answer:

y = x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

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

with (x₁, y₁ ) = (- 2, 1) and (x₂, y₂ ) = (- 1, 2) ← 2 points on the line

m = [tex]\frac{2-1}{-1-(-2)}[/tex] = [tex]\frac{1}{-1+2}[/tex] = [tex]\frac{1}{1}[/tex] = 1

The line crosses the y- axis at (0, 2 ) ⇒ c = 2

y = x + 2 ← equation of line

(about) 6.6 or 6 2/3