All are equivalent except x<-2, x-2<4, 2x<-4, x-2<-4 ?

Answers

Answer 1

Answer: To figure out which is not equivalent to the others,, we must solve each option provided. x < -2 is already solved,, so there is no need to do any work that option.
The first step for solving x - 2 < 4 is to move the constant to the right side and then change its sign.
x < 4 + 2
Now add the numbers together to get your final answer.
x < 6
This means that we have one option that equals x < -2 and one option that equals x < 6.
Let's now solve 2x < -4 to see what that one equals. In order to solve this,, we need to divide both sides of the inequality by 2.
x < -2
Now we can see that it looks like all of the expressions are equivalent except for x - 2 < 4. Before we can confirm this though,, let's solve for x - 2 < -4. The first step for solving this is to move the constant to the right side and change its sign.
x < -4 + 2
Now calculate the sum of these two numbers to get your final answer.
x < -2
This tells us that all of the options are equivalent except for x - 2 < 4,, or option B.
Let me know if you have any further questions.
:)

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To paint a house, two painters are hired. The first painter can paint the house in ten hours. The second painter will need six hours to paint the entire house. If the two painters start painting at 8:00 am, at what time will they finish painting the house?

Answers

so
p1 can paint hours in 10 hours, so 1/10 house per 1 hour

p2 can paint house in 6 hours so 1/6 house per 1 hour

if both start at 8:00, when finish??
find how many hours they take

1 hour=p1+p2=1/10+1/6
just add 1/10 and 1/6 and see how many to get 1/1 house done
1/10+1/6=3/30+5/30=8/30=4/15
xhours times 4/15=1
multiply both sides by 15/4 to clear fraction
xhours =15/4
xhours=3 and 3/4

they take 3 and 3/4 hours aka 3 hours and 45 mins so
8:00+3:45=11:45

they finish at 11:45 AM

Round 24824.939838 to the nearest thousand.

Answers

Answer:

25,000

Step-by-step explanation:

24,824 is read as twenty-four thousand, eight-hundred twenty-four

the first 2 is in the ten thousands position

the first 4 is in the thousands position

the 8 is in the hundreds position

the second 2 is in the tens position

the second 4 is in the ones position

If you want to round to the nearest thousand then you must refer to the digit in the hundreds position - if this number is greater than or equal to 5 then the number in the thousands place is increased by 4; otherwise the number in the thousands place remains the same

So in this case with 24,824 the '8' is greater than 5; therefore, the 4 becomes a 5 and the answer is 25,000

What number is half way between 23 and 51

Answers

36,37 theres no way for there to be 1 number unless you average it then it would be 36.5

4x – 4 – 3x > 13 – 7x – 1 + 8

Answers

If you would like to solve the inequation 4 * x - 4 - 3 * x > 13 - 7 * x - 1 + 8, you can do this using the following steps:

4 * x - 4 - 3 * x > 13 - 7 * x - 1 + 8
4 * x - 3 * x + 7 * x > 4 + 13 - 1 + 8
8 * x > 24 /8
x > 24/8
x > 3

The correct result would be x > 3.

If f(2)=pi+7 then f^-1(pi+7)=?

Answers

Answer: The required value of $f^('-1)(\pi+7)$ is 2.

Step-by-step explanation: We are given the following value of a function f :

$f(2)=\pi+7.$

We are to find the value of $f^(-1)(\pi+7).$

We know that

For any function g(x) = y,

$g^(-1)(y)=x.$

Applying the above rule in equation (i), we get

$f(2)=\pi+7\n\n\Rightarrow f^(-1)(\pi+7)=2.$

Thus, the required value of $f^('-1)(\pi+7)$ is 2.

Hello,

$f(2)=\pi + 7\n\n 2=f^(-1)\ o\ f(2)=f^(-1) (f(2))=f^(-1)( \pi + 7 })$

A 1-liter bottle of orange juice used to cost $2.85 at a food market. Its price has increased; the new price is 110 percent of the original price. What is the new price of the juice? Round your answer to the nearest cent.

Answers

2.85 x 1.1 = 3.135 ≈ $3.14

New price = 110% of original price

= (110/100)*2.85

= 1.1 * 2.85 = 3.135

Price ≈ $3.14 to the nearest cent.

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