The graph of the function f(x) = (x + 2)(x − 4) is shown.Which describes all of the values for which the graph is negative and increasing?

all real values of x where x < −2
all real values of x where −2 < x < 4
all real values of x where 1 < x < 4
all real values of x where x < 0

Answers

Answer 1
Answer: The function is negative below the zeros which would be from -2 to 4.
It would be increasing from the vertex to the zero,4.
So the answer would be 1 < x < 4
Answer 2
Answer:

The values for which the graph is negative and increasing are all real values of x where 1 < x < 4.

Given

The graph of function;

\rm f(x) = (x + 2)(x - 4)

What is a graph?

A graph goes from being negative to positive (or the other way around) by passing through the x-axis. in other words when f(x) = 0.  

Then,

\rm f(x) = (x + 2)(x - 4)=0\n\nx+2 =0\ x=-2\n\nx-4=0\ x=4

For increasing and decreasing for anything other than a quadratic and linear function you need calculus.  

The function is negative below the zeros which would be from -2 to 4.

It would be increasing from the vertex to zero,4.

Hence, the values for which the graph is negative and increasing are all real values of x where 1 < x < 4.

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1. Which events are dependent? I. flipping a coin multiple times II. picking even numbers,with replacement. III. picking odd numbers,without replacement. A. I only B. III only C. I and II D. II and III. 2.Which events are independent? I. flipping a coin multiple times II. picking coins, with replacement III. picking coins ,without replacement. A. I only B. II only C. I and II D. II and III and last one A spinner numbered 1 through 8 is spun 3 times. what is the probability of spinning an even number, then an odd number, and then an 8? Write your answer as a decimal. do not round. Please help me

Answers

1). Flipping a coin or picking a number are not dependent.  The probability
of the result is the same every time.  It only changes if you leave out what
you picked the first time, because then the total number of possibilities is
different.
With this reasoning, they might say that iii. is dependent because you
don't replace what you draw the first time.  I'm not comfortable with that.
Sure, you don't replace the first number you picked, but how many odd
numbers are left ?  Still an infinite number.
So I think iii. is the answer they want here, but I don't think any of the
choices is really dependent.  

2). By the same reasoning, i. and ii. are independent.  The coins have
no memory.  They don't remember what happened last time.

3).  The probability of any result is

                              (number of successes)/(number of possibilities).

Total number of possibilities each time is 8.

Probability of an even number (2, 4, 6, or 8) the first time = 4/8 = 0.5

Probability of an odd number (1, 3, 5, or 7) the second time = 4/8 = 0.5

Probability of an 8 the third time = 1/8 = 0.125 .

Probability of all 3 events = (0.5) x (0.5) x (0.125) = 0.03125  (3.125%)
 

If you subtract 12 from my number and multiply the difference by −3​, the result is −60​.

Answers

Answer:

Step-by-step explanation:

-60 + 12 = -48

-48 divided by -3 is 16

the answer is 16

Three families each have three sons and no daughters. Assuming boy and girl babies are equally likely, what is the probability of this event?

Answers


I don't think it matters how many families are involved. 
You're talking nine live births, and the probability of a
male birth each time is 50% .

So the probability of nine males in nine births is

                 (1/2)^9  =  1/512  =  about 0.195 percent  (rounded)


three families with three children all boys 
parents-2
children-3
total-5 times 3= 15
then boys-3 times three=9

Answer: 9/12 
Percentage:75%

A store sells small notebooks for $7 and large notebooks for $10 if a student buys 6 notebooks and spends $51 how many of each size did he buy

Answers

He bought 3 small notebooks (3*7=21) and 3 large notebooks (3*10=30)
21+30=51
7+7+7=21
10+10+10=30 
30+21=51

dara spends $13.02 on sandals, $9.85 on shorts, and $15.20 on a hat. how much change does she recieve back from $50

Answers

 you sum up all that Dara bought, then you subtract that from fifty t get the total change of 11.93 USD.

Final answer:

The total cost of Dara's purchases was $38.07. Upon subtracting this amount from her initial $50, she is left with $11.93 change.

Explanation:

To solve the problem, you need to add up how much Dara spends and subtract that from $50. First, add the cost of the sandals, shorts, and hat together:

  • $13.02 for sandals
  • $9.85 for shorts
  • $15.20 for the hat

When you add these three amounts together, you get $38.07. So, Dara has spent $38.07 in total. Now, subtract that amount from $50:

$50.00 - $38.07 = $11.93

This means Dara should get back $11.93 in change.

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A circular patio has a radius of 18 feet.What is the longest distance across the patio?
A.
9 ft
B.
18 ft
C.
36 ft
D.
54 ft

Answers

The longest distance of a circle is its circumference.

Circumference = π d
d = diameter is twice the radius

C = 3.14 * 2 * 18ft
C = 3.14 * 36 ft
C = 113.04 ft

However, with the choices we only need to get the diameter as the longest distance from one end of the circular patio to the other.

d = 2 r
d = 2 * 18ft
d = 36 ft.  CHOICE C.
We have some clues here. 

'longest distance' could mean Diameter. 

r*2= d
radius = 18 feet
18*2 = 36

d = 36

The answer would be: 36 ft