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2 years ago

12

A library database shows the total number of books checked out at any given time as a negative number. What are the possible num

bers of books that were checked out and checked in on Monday? Explain.

1 answer:

Black_prince [1.1K]2 years ago

7 0

Answer:

LED Lights

Step-by-step explanation:

Blue- Sad

Yellow- Happy

Red-Mad

Green-Disgusting

Purple - Scared

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The product of 5 and a numberis -80

ad-work [718]

1. 5x= -80. x= -16

2. x - 73 = 129. x = 202

3. x/-8 = 22. x = -176

4. 2x + 8 = 8. 2x = 0. x = 0

5. 3x - 7 = 40. 3x = 47. x = 47/3

4 0

3 years ago

Define $g$ by $g(x)=5x-4$. If $g(x)=f^{-1}(x)-3$ and $f^{-1}(x)$ is the inverse of the function $f(x)=ax+b$, find $5a+5b$.

Slav-nsk [51]

Answer:

<h2>2</h2>

Step-by-step explanation:

Given g(x)=5x-4 and g(x)=f^{-1}(x)-3

Substituting g(x) = 5x-4 into the second equation we have;

5x-4 = f^{-1}(x)-3

f^{-1}(x) = 5x-4+3

f^{-1}(x) = 5x-1

To get f(x), let us first make y to be equal f^{-1}(x)

y = 5x-1

expressing x in terms of y to get f(x), we have;

5x = y+1

x = y/5+1/5

replacing y with x, we will have;

y = x/5 + 1/5

F(x) = x/5 + 1/5

Comparing x/5 + 1/5 with ax+b, a = 1/5 and b = 1/5

5a + 5b = 5(1/5)+ 5(1/5)

5a+5b = 1+1

5a+5b = 2

8 0

3 years ago

Solve a system of equation by elimination

maks197457 [2]

Answer:

1: (4,1) x=4 y=1

2: (1,10) x=1 y=10

3: (-25/4,5) x= -25/4 y=5

Step-by-step explanation:

It would be a lot to explain all three so if you really need it just ask

6 0

3 years ago

The general manager, marketing director, and 3 other employees of Company A are hosting a visit by the vice president and 2 othe

yawa3891 [41]

Solution :

Let the three places be 1, 2, 3, 4, 5, 6, 7, 8

a). Number of the cases when a general manager is the next to a vice president is equal to 7 and the these 2 can be arranged in 21 ways. So the total number of ways = 7 x 2

= 14

[(1,2)(2,1) (2,3)(3,2) (3,4)(4,3) (4,5)(5,4) (5,6)(6,5) (6,7)(7,8) (8,7)(7,6)]

Therefore the required probability is

$=\frac{14}{8!}$

= $\frac{14}{40320} = 0.000347$

b). The probability that the marketing director to be placed in the leftmost position is

$=\frac{7!}{8!}$

$=\frac{1}{8} = 0.125$

c). The two events are not independent because

$P(A \cap B) \neq P(A) \times P(B)$

$\frac{12}{8!} \neq \frac{14}{8!} \times \frac{1}{8}$

where A is the case a and B is the case b.

8 0

3 years ago

Solve for x: 3x − 2 > 5x + 10. (5 points)<br> 1) x > 6<br><br> 2) x −6

san4es73 [151]

Answer:

$x$

Step-by-step explanation:

$3x-2>5x+10$

Add 2 to both sides

$3x-2+2>5x+10+2$

Simplify

$3x>5x+12$

Subtract $5x$ from both sides

$3x-5x>5x+12-5x$

Simplify

$-2x>12$

Multiply both sides by $-1$ (reverse the inequality)

$(-2x)(-1)$

Simplify

$2x$

Divide both sides by $2$

$\frac{2x}{2}$

Divide the numbers: $\frac{2}{2} =1$

$=x$

Divide the numbers: $\frac{-12}{2}$

Apply fraction rule: $\frac{-a}{b} =-\frac{a}{b}$

$=\frac{12}{2}$

Divide the numbers: $\frac{12}{2} =6$

$=-6$

$x$

7 0

2 years ago

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