Q5. A rectangle has dimensions 3x + 1 and 2x – 5. Its area is 1150 cm2. What is

NEED ASAP WILL GIVE BRAINLIEST Write a real world problem that can be represented by the following inequality, 15X - 20 ≤ 130 ,a

ddd [48]

Answer:

I used my name, lol

Step-by-step explanation:

Kat wants to use her money to support animals at a shelter after receiving her pay check from work . She pays $15 per animal, and leaves $20 for the workers. She can spend at most $130. How many animals can she help?

Solve for x

$15x-20\leq 130$

Add 20 to both sides to isolate x

$15x-20+20\leq 130+20\\15x\leq 150$

Divide each side by 15

$\frac{15x}{15}\leq \frac{150}{15} \\\\x\leq 10$

Kat can help at most 10 animals.

(I am so sorry I took so long, I couldn't come up with anything.)

5 0

3 years ago

Given that f(x) is even and g(x) is odd, determine whether each function is even, odd, or neither. (f • g)(x) = ? (g • g)(x) = ?

vekshin1

Answer:

Step-by-step explanation:

If f(x) is even, then f(-x) = f(x).

If g(x) is odd, then g(-x) = -g(x).

(f · g)(x) = f(x) · g(x)

Check:

(f · g)(-x) = f(-x) · g(-x) = f(x) · [-g(x)] = -[f(x) · g(x)] = -(f · g)(x)

(f · g)(-x) = -(f · g)(x) - odd

(g · g)(x) = g(x) · g(x)

Check:

(g · g)(-x) = g(-x) · g(-x) = [-g(x)] · [-g(x)] = g(x) · g(x) = (g · g)(x)

(g · g)(-x) = (g · g)(x) - even

7 0

3 years ago

Read 2 more answers

. Imagine a game of 3 players where exactly one player wins in the end and all players have equal chances of being the winner. T

lbvjy [14]

Answer:

5/9

Step-by-step explanation:

Number of players = 3

number of times game is repeated = 4

P( any person wins a game ) = 1/3

P ( any person does not win a game ) = 1 - 1/3 = 2/3

P ( any person wins no game in 4 attempts ) = ( 2/3 )^4 = 16/81

<em>Note : each player has equal chance of winning </em>

<u>Find the probability that there is at least one person who wins no games </u>

lets represent the probability of each player not wining a game with alphabet A

A1 = player 1 wins no game

A2 = player 2 wins no game

A3 = players 3 wins no game

Applying the inclusion-exclusion formula

where

P( A1 ∩ A2 ) = P( A1 wins all games )

P ( A1 wins all games in 4 attempts ) = ( 1/3 )^4 = 1/81

P( A1 ∩ A2 ∩ A3 ) = P ( no players wins any game in 4 attempts ) = 0

Hence

P( A1 ∪ A2 U A3 ) = 16/81 + 16/81 + 16/81 - 1/81 - 1/81 - 1/81 - 0 = 5/9

6 0

3 years ago

What is the equation of a line perpendicular to y= 3/4x +12 that passes through (12, 3)

ycow [4]

Answer:

y=-4/3x-9

=

−

4

3

x

−

9

Step-by-step explanation:

First we need to get the slope of the perpendicular line

The slope of a perpendicular line is equal to the negative inverse of the slope of the given line

y

=

m

x

+

b

y

=

3

4

x

−

2

⇒

m

=

3

4

m

'

=

−

1

m

⇒

m

'

=

−

1

3

4

⇒

m

'

=

−

4

3

Now that we have the slope, we need to find the y-intercept.

To find the y-intercept, we need to plug-in values of

x

and

y

that the line passes through

y

'

=

m

'

x

'

+

b

⇒

y

'

=

−

4

3

x

'

+

b

⇒

7

=

−

4

3

(

−

12

)

+

b

⇒

7

=

16

+

b

⇒

b

=

−

9

Therefore, the equation of the line is

y

=

−

4

3

x

−

9

4 0

3 years ago

Where is m and p I don't know because it's confusing

Natasha_Volkova [10]

M is 1.75 and P is 2.5

6 0

3 years ago

Read 2 more answers