Suppose f(x)=x^2 Find the graph of f(x-2) *Will make Brainliest If answered asap*

A group of four boys (Alex, Bryan, Chris, and David) and five girls (Megan, Nancy, Olivia, Pauline, and Rebecc?

aliina [53]

Answer:

a) P = 362880 ways

b) P = 2880 ways

Step-by-step explanation:

a) We have four boys and five girls, they are going to sit together in a row of 9 theater seats, without restrictions

We have a permutation of 9 elements

P = 9!

P = 9*8*7*6*5*4*3*2*1

P = 362880 ways

b) Boys must seat together, we have two groups of people

4 boys they can seat in 4! different ways

P₁ = 4!

P₁ = 4*3*2*1

P₁ = 24

And girls can seat in 5! dfferent ways

P₂ = 5!

P₂ = 5*4*3*2*1

P₂ = 120

To get total ways in the above mentioned condition, we have to multiply P₁*P₂

P = 24*120

P = 2880 ways

4 0

2 years ago

At bike shop x it costs $2.75 per hour plus a $3.00 deposit to rent a bike. at bike shop z it costs $1.75 per hour plus a $7.00

dem82 [27]

Answer:

Multiply the rate per hour by the number of hours (n) and add the deposit.

A)

Bike shop x: c = 2.75n + 3.00

Bike shop z: c = 1.75n + 7.00

B) to find when they will cost the same set the equations equal to each other and solve for n:

2.75n + 3.00 = 1.75n + 7.00

Subtract 3 from each side:

2.75n = 1.75n + 4.00

Subtract 1.75n from both sides:

1.00n = 4.00

Divide both sides by 1:

n = 4 hours

6 0

2 years ago

Read 2 more answers

A father is 32 years older than his son. In four years,

sergiy2304 [10]

Answer:

father: 36
son: 4

Step-by-step explanation:

Let s represent the son's age now. Then s+32 is the father's age. In 4 years, we have ...

5(s+4) = (s+32)+4

5s +20 = s +36 . . . . . eliminate parentheses

4s = 16 . . . . . . . . . . . . subtract s+20

s = 4

The son is now 4 years old; the father, 36.

_____

Alternate solution

In 4 years, the ratio of ages is ...

father : son = 5 : 1

The difference of their ages at that time is 5-1 = 4 "ratio units". Since the difference in ages is 32 years, each ratio unit must stand for 32/4 = 8 years. That is, the future age ratio is ...

father : son = 40 : 8

So, now (4 years earlier), the ages must be ...

father: 36; son: 4.

5 0

3 years ago

Can someone help me find surface area

stealth61 [152]

Answer: the surface area is 7,800

Step-by-step explanation:

7 0

2 years ago

Question 7: Solve this system A.(15, 10) B.(-15, 10) C.(-10, 25) D.(10, 15)

Alexandra [31]

Answer:

D. (10, 15)

Step-by-step explanation:

Hi there!

We are given the following system:

$\frac{1}{2}x$ +y=20

x+4y=70

And we want to solve it (find the values of x and y).

Let's use substitution for this problem, where we will isolate one variable on one side, while the other side contains an expression with the other variable. Then, we use the expression to solve for the variable that the expression contains, then use the value of that variable to solve for the aforementioned isolated variable.

Subtract $\frac{1}{2}x$ from both sides in the first equation

y=20- $\frac{1}{2}x$

Now substitute 20- $\frac{1}{2}x$ as y in x+4y=70

x+4(20- $\frac{1}{2}x$ )=70

Do the distributive property

x+80-2x=70

Combine like terms on the left

-x+80=70

Subtract 80 from both sides

-x=-10

Multiply both sides by -1

x=10

We found the value of x. Now let's use that value to find what y is

Since we know that y=20- $\frac{1}{2}x$ and x=10, we can substitute 10 as the value of x to solve for y

In that case,

y=20- $\frac{1}{2}$ (10)

Multiply

y=20-5

Subtract

y=15

The answer is x=10, y=15, or as a point, (10, 15), aka D

Hope this helps!

4 0

2 years ago