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gtnhenbr [62]
2 years ago
12

Quon has 15 cookies. He eats one in the afternoon and another in the evening. What number describes the total change in the amou

nt of cookies?
Mathematics
1 answer:
harina [27]2 years ago
5 0

Answer:

The number -2 shows the total change in amount of cookies. The negative sign signifies the decrease in the number.

Step-by-step explanation:

Total cookies Quon has = 15

Cookies eaten in the afternoon = 1

Cookies eaten in the evening = 1

So, total number of cookies consumed  = 1+1 =2

Cookies left with Quon = 15-2=13

So, the number -2 shows the total change in amount of cookies. The negative sign signifies the decrease in the number.

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Let g(x) be the reflection of f(x) in the x-axis. What is the function rule for g(x)? Let g(x) be the reflection of f(x) = 3x +
goblinko [34]
Reflection rule in the x-axis:
g(x) = - f(x)

f(x) = 3x+12
g(x) = - f(x) = -3x-12

The correct choice is option (C)
8 0
2 years ago
F(x)=-11x-2 and g(x) =7x-4 find (f°g)(x)​
tatyana61 [14]

Answer:

- 77x + 42

Step-by-step explanation:

note that (f ○ g)(x) = f(g(x)

Substitute x = g(x) into f(x)

f(g(x))

= f(7x - 4)

= - 11(7x - 4) - 2

= - 77x + 44 - 2

= - 77x + 42

7 0
3 years ago
Solve x - 6x = 40 by factoring. What is<br> the solution?
marta [7]

Answer:

x=-8

Step-by-step explanation:

collect like terms

-5x=40

divide both sides of the equation by -5

so the answer would be x=-8

7 0
3 years ago
2.5% of a population are infected with a certain disease. There is a test for the disease, however the test is not completely ac
Aleks04 [339]

Answer:

P(disease/positivetest) = 0.36116

Step-by-step explanation:

This is a conditional probability exercise.

Let's name the events :

I : ''A person is infected''

NI : ''A person is not infected''

PT : ''The test is positive''

NT : ''The test is negative''

The conditional probability equation is :

Given two events A and B :

P(A/B) = P(A ∩ B) / P(B)

P(B) >0

P(A/B) is the probability of the event A given that the event B happened

P(A ∩ B) is the probability of the event (A ∩ B)

(A ∩ B) is the event where A and B happened at the same time

In the exercise :

P(I)=0.025

P(NI)= 1-P(I)=1-0.025=0.975\\P(NI)=0.975

P(PT/I)=0.904\\P(PT/NI)=0.041

We are looking for P(I/PT) :

P(I/PT)=P(I∩ PT)/ P(PT)

P(PT/I)=0.904

P(PT/I)=P(PT∩ I)/P(I)

0.904=P(PT∩ I)/0.025

P(PT∩ I)=0.904 x 0.025

P(PT∩ I) = 0.0226

P(PT/NI)=0.041

P(PT/NI)=P(PT∩ NI)/P(NI)

0.041=P(PT∩ NI)/0.975

P(PT∩ NI) = 0.041 x 0.975

P(PT∩ NI) = 0.039975

P(PT) = P(PT∩ I)+P(PT∩ NI)

P(PT)= 0.0226 + 0.039975

P(PT) = 0.062575

P(I/PT) = P(PT∩I)/P(PT)

P(I/PT)=\frac{0.0226}{0.062575} \\P(I/PT)=0.36116

8 0
2 years ago
Rearrange to make x the subject t=bx/3
g100num [7]

Answer:

x = 3t/b

Step-by-step explanation:

Step 1: Multiply both sides by 3

t = bx/3

3t = bx

Step 2: Divide both sides by <em>b</em>

3t/b = x

8 0
3 years ago
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