Simplify fully
4x2 + 4x
2x² – 2

Answer:

3. y = -8x + 2

f⁻¹(x) = -(18)x + 1/4

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4. y = (2/3)x - 5

f⁻¹(x) = 1.5x + 7.5

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5. f(x) = 2x² - 6

f⁻¹(x) = [tex]\sqrt{1/2x + 3}[/tex]

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6. y = (x - 3)²

f⁻¹(x) = 3 +  [tex]\sqrt{x}[/tex]

Answer:

As can be seen, there has been a rise in the proportion of the population with HIV positive, from 7.5% to 9.94%.

Step-by-step explanation:

Given that a national organization sets out to investigate the change in prevalence of HIV since the last census in 2010, ya total of 4,706 participants were interviewed and a total of 468 responses were confirmed to be HIV positive, assuming that the data from the census indicated that the prevalence of HIV in the particular population was 7.5%, to determine if the proportion of the prevalence of HIV has changed (is equal to 7.5%) the following calculation should be performed:

4706 = 100

468 = X

468 x 100/4706 = X

46,800 / 4,706 = X

9.94 = X

Therefore, as can be seen, there has been a rise in the proportion of the population with HIV positive, from 7.5% to 9.94%.

Answer:

(2,3)

4th option

7 units up from point R

Answer:

2.3

Step-by-step explanation:

Answer:

1 5/8 too short

Step-by-step explanation:

The cable on the truck is 18 and 3/8 ... to complete the fraction into a whole number we would need 5 more parts in order to complete the entire 8 parts of the fraction. This would make the cable a whole 19 feet. Since Ryan needs 20 ft, this would leave us needing 1 more foot. Therefore, the cable in the truck is

1 5/8 too short

Answer:

sin(75°) = [tex]\frac{\sqrt{2}+\sqrt{6} }{4}[/tex]

Step-by-step explanation:

Given: sin(75°)

Rewrite: sin(30° + 45°)

Use sum and difference identity:

sin(α + β) = sinαcosβ + cosαsinβ

sin(30°+45°) = sin(30°)cos(45°) + cos(30°)sin(45°)

sin(30°+45°) = (1/2)(√2 / 2) + (√3 / 2)(√2 / 2)

sin(30°+45°) = (√2 / 4) + (√6 / 4)

sin(30°+45°) = [(√2 + √6) / 4]

sin(75°) = [(√2 + √6) / 4]

Answer:

it is 7+7+3+3=20

Step-by-step explanation:

Answer: 1st is if it’s 2 legs second is if it’s a leg and hypotenuse

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Sign means equal to or less then. Judging off the word problem saying "at least" it means that that they have that amount of trips or more.

Answer:

B. 24 + t ≥ 48

Step-by-step explanation:

So the keyword is at least which makes it clear that 24 + t is at least 48, which would be the same as is greater than or equal to

hope this helps:)

Answer:

140 Large sized drinks were sold last month

Step-by-step explanation:

Each large drink is sold at $3

Therefore, we divide the amount of money which is $420 by $3

  = $420 ÷ $3 = 140 Large sized drinks

Answer: 6

That chart is confusing ash, but median just refers to the middle value. Just put them in order (4,4,6,9,12) and then find the middle. In this case it's easy as there are an odd number of values. But if you have another question where there are an odd number, for example (4,4,6,10,12,15) find the two middle numbers, 4 and 9, add them (6+10=16) and then divide by 2 to find the number in between those two. (16/2=8)

Hope this helps!

Answer:

JIG and JIL

Step-by-step explanation:

Adjacent angles share a side

I hope this helps :)

Answer:

JIG and JIL

Step-by-step explanation:

cuz adjecent angles add up to 180 degrees.

Hope this helps :)

Answer:

C=45

if 9/11 = c/55 you have to divide the c/55 by 9/11, resulting in c/9 = 5

multiply 9 by 5 to get 45

Step-by-step explanation:

Answer:

54 + 4D = L

After 39 days, the total length of the road will be 210 miles.

Step-by-step explanation:

Given that a construction crew is lengthening a road, and the road started with a length of 54 miles, and the crew is adding 4 miles to the road each day, to write an equation in which L represents the total length of the road ( in miles), and D represent the number of days the crew has worked, and then use the equation to find the total length of the road after the crew has worked 39 days, the following calculations should be performed:

54 (initial length) + 4D = L

54 + 4D = L

Thus, if the crew worked 39 days, the equation would be applied as follows:

54 + 4x39 = L

54 + 156 = L

210 = L

Therefore, after 39 days, the total length of the road will be 210 miles.

Answer:

12 13/15

Step-by-step explanation:

[tex]72\frac{3}{8}[/tex] ÷ [tex]5\frac{5}{8}[/tex]

579 / 8 ÷ 45/8

579/8 x 8/45 = 12 39/45

expressing in its simplest form = 12 13/15

Answer:

A. cd4

Step-by-step explanation:

Step-by-step explanation: To find the IQR of a box plot, you must identify the location of Q1 and Q3. Subtracting the values will give you the IQR

Answer:

Step-by-step explanation:

Correct choice is D

Answer:

Step-by-step explanation:

tan(angle) = 6/20

angle = [tex]tan^-1(6/20)[/tex] =  16.699 degrees

Answer: 4 quarters and 1 Nickel not sure if thats the question :/

Step-by-step explanation:

One dollar and one nickel are equal to $1.05.

It is the conversion of one unit to another unit with its standard conversion.

Examples:

1 hour = 60 minutes

1 minute = 60 seconds

1 km = 1000 m

We have,

1 dollar = 100 cents

one nickel = 5 cents

So,

1 nickel = $0.05

Thus,

One dollar and one nickel are equal to $1.05.

Learn more about unit conversion here:

https://brainly.com/question/13899873

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Answer:

She should win approximately 30 times.

Step-by-step explanation:

Since the probability of winning is 3/8, we multiply 3/8 with 80 to get 30.

Answer:

The weight unit is 200 pounds per tire

Answer:

mafi mallum

Step-by-step explanation:

The 7 arithmetic means between 4 and 8 are

9/2, 5, 11/2, 6, 13/2, 7, and 15/2.

It is a sequence where the difference between each consecutive term is the same.

Example:

2, 4, 6, 8, 10 is an arithmetic sequence.

We have,

First term = 4
This means,

a = 4

9th term = 8

This means,

a + (9 - 1)d = 8

4 + 8d = 8

8d = 8 - 4

8d = 4

d = 4/8

d = 1/2

Now,

2nd term = 4 + (2 - 1)1/2 = 4 + 1/2 = 9/2

3rd term = 4 + 2 x 1/2 = 4 + 1 = 5

4th term = 4 + 3 x 1/2 = 11/2

5th term = 4 + 4 x 1/2 = 4 + 2 = 6

6th term = 4 + 5 x 1/2 = 13/2

7th term = 4 + 6 x 1/2 = 4 + 3 = 7

8th term = 4 + 7 x 1/2 = 15/2

Thus,

The arithmetic sequence is 4, 9/2, 5, 11/2, 6, 13/2, 7, 15/2, 8.

Learn more about arithmetic sequence here:

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Answer:

there are 6 outcomes

Step-by-step explanation:

there are only 6 spots, therefore it has to be 6

Answer:

sum of angles in a quadrilateral is 360

Step-by-step explanation:

3x-15 +3x+15+y+30+D=360

hope that explanation helps

Answer:

x = 4 , y = 6

Step-by-step explanation:

I am sorry if I'm wrong

Answer:

I believe it would take 12 hours

Answer:

56 ...

Step-by-step explanation:

70-14 = 56

Since it’s the sum of their age it’s just jiri’s age plus Pamela’s so you just subtract Pamela’s age from the total sum. And that would make jiri 56. (Sum means the total from adding) So if you do the problem over again. “The sum of 56 and 14” it would take you back to the question you have now. This is inverse addition.

Answer:42

Step-by-step explanation: you split 70 in half, 35 and 35. Then you add 7 to one (Jiri) and subtract 7 from one(Pamela). You get 42 and 28. To check you do 42-28=14 and 42+28=70.

Answer:

y^2+z^2=x^2 is true statement