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KonstantinChe [14]

3 years ago

7

Which of the following is the inverse of F(x) if F(x) =x/22?

1 answer:

exis [7]3 years ago

6 0

Answer:

y = 22x

Step-by-step explanation:

y = x/22, switch the x and y and solve for y

x = y/22

y = 22x

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Nth term sequences, please may I get some help. 15 p.

Dovator [93]

Answer:

$(n+2)^2+6$

Step-by-step explanation:

Pattern 1 consists of

$3+3\times 3+3$ small squares (here n = 1 and $3\times 3=(1+2)\times (1+2)$ ).

Pattern 2 consists of

$3+4\times 4+3$ small squares (here n = 2 and $4\times 4=(2+2)\times (2+2)$ ).

Pattern 3 consists of

$3+5\times 5+3$ small squares (here n = 3 and $5\times 5=(3+2)\times (3+2)$ ).

Thus, pattern n consists of

$3+(n+2)\times (n+2)+3=6+(n+2)^2$ small squares.

3 0

3 years ago

Solve the following system of equations for a and for b:

viktelen [127]

Answer:

$a=3\\b=1$

Step-by-step explanation:

$9a+3b=30\\8a+4b=28$

Let's solve the second equation for a to later on replace it in the first equation.

$8a+4b=28\\8a=28-4b\\a=\frac{28-4b}{8}$

Now plug this into the first equation.

$9a+3b=30\\9(\frac{28-4b}{8})+3b=30$

Distribute the 9

$(\frac{252-36b}{8}) +3b=30$

Break down the fraction.

$\frac{252}{8}-\frac{36b}{8}+3b=30$

Simplify.

$\frac{63}{2}-\frac{9}{2}b+3b=30$

Subtract $\frac{63}{2}$

$-\frac{9}{2}b+3b=30-\frac{63}{2}$

Combine like terms.

$\frac{-9+2*3}{2}b=\frac{30*2-63}{2}$

$\frac{-9+6}{2}b=\frac{60-63}{2}$

$\frac{-3}{2}b=\frac{-3}{2}$

Muliply by the reciprocal or inverted fraction next to b.

$(-\frac{2}{3})(-\frac{3}{2}) b=-\frac{3}{2}(-\frac{2}{3})$

$b=1$

Now plug this value into any of the equations to find the value of a.

$8a+4b=28\\8a+4(1)=28\\8a+4=28\\8a=28-4\\8a=24\\a=\frac{24}{8}\\ a=3$

5 0

4 years ago

My soccer team has 16 players. I have to choose a starting lineup of a goalie and 10 regular players (the regular players are in

ASHA 777 [7]

Answer:

3003

Step-by-step explanation:

We want to find out how many ways we can choose 10 players among 15 players (since the goalie is not interchangeable)

The number of different lineups you can have can be found by using combination:

$^{15}C_{10} = \frac{15!}{(15 - 10)! 10!}\\ \\= \frac{15!}{5! * 10!} \\\\= 3003$

There are 3003 different lineups that can be chosen.

6 0

3 years ago

there are 27 red or blue marbles in the bag the number of red marbles is five less than three times the number of the blue marbl

alexdok [17]

So assuming that the total =27
r+b=27
r=-5+3b
r=3b-5
subsitute 3b-5 for r in first equation
3b-5+b=27
4b-5=27
add 5
4b=32
divide by 4
b=8
subsitute
b+r=27
8+r=27
subtracct 8
r=19

red=19
blue=8

4 0

3 years ago

Agroup of friends were working on a student film with a budget of $500, which they

mina [271]

Answer:

89%

Step-by-step explanation:

500-55=445

445/500=0.89

0.89x100=89

4 0

2 years ago

Read 2 more answers