What is the answer to this algebra 1 answer : 6> 4-2×<4

Answers

Answer 1

Answer: 6>4-2x<4

so therefor (4x-2) must be less than 6 and less than 4
it must be
6>4-2x and 4<4-2x
find the intersection

6>4-2x
add 2x to both sides
6+2x>4
subtract 6
2x>-2
divide by 2
x>-1

4>4-2x
add 2x
4+2x>4
subtract 4
2x>0
x>0

so we have
x>0
and x>-1
the range of x>-1 includes most of x>0 so the answer is
x>-1

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Evaluate g(n-7) if g(x) =x^2-5 / 3x

Answers

Answer:

$g(n-7)=(n^2-14n+44)/(3n-21)$

Step-by-step explanation:

The given function is

$g(x)=(x^2-5)/(3x)$

To find g(n-7), we substitute x=n-7 to obtain;

$g(n-7)=((n-7)^2-5)/(3(n-7))$

Expand the parenthesis to obtain;

$g(n-7)=(n^2-14n+49-5)/(3n-21)$

Simplify:

$g(n-7)=(n^2-14n+44)/(3n-21)$

A delivery man starts work at 21:30 and works for 8 12 hours.
At what time does he finish? Give your answer in 24 hour
format.

Answers

The time at which man starts its work=21:30
Time at which he finishes his work =21:30+8:12=29:42
Means at the next day he finishes his work .
And time is29:42-24:00=5:42

Round 3.2 to the nearest whole number

Answers

3.2 rounded to the nearest whole number is 3

Desiree had 35 stickers. She gave each of3 friends the same number of stickers. She now has
20 stickers left. She then gives the same number of stickers
to each of another 5 friends. How many stickers did she
give each of her 3 friends? Each of her 5 friends?

Answers

Answer:

She gave the 3 friends 5, and the 5 friends 4.

Step-by-step explanation:

35-20=15

15 stickers divided by 3 friends equals 5 stickers each.

Now that she has 20 stickers left 20 divided by 5 friends equals 4 stickers each.

A sample of 100 wood and 100 graphite tennis rackets are taken from the warehouse. If 15 wood and 20 graphite are defective and one racket is randomly selected from the sample, find the probability that the racket is wood or defective.

Answers

Probability Wood is 100/200 and the Probability defective would be 35/200

Probability for both would just be 15/200

(100+35-15)/200=(120/200)

Let me know If I'm right.

Stacey's text messaging plan charges 20¢ for each message over 450 in addition to a $14 base charge. If she owes $18.00 for text messaging in the month of February, how many text messages did she send that month?

Answers

Stacey sent 470 text messages in the month of February.

Let's assume that Stacey sent x text messages in February. We know that her plan charges 20¢ for each message over 450, in addition to a $14 base charge. To find the total cost for her text messages in February, we can set up the following equation:

Total cost = Base charge + (Additional messages * Charge per message)

The base charge is $14, and the number of additional messages beyond 450 is (x - 450) since 450 messages are already covered in the base charge. The charge per message is 20¢, which is equivalent to 0.20 dollars. So, the equation becomes:

$18.00 = $14.00 + (0.20 * (x - 450))

Now, let's solve for x:

$18.00 - $14.00 = 0.20 * (x - 450)

$4.00 = 0.20x - 90

$4.00 + $90 = 0.20x

$94.00 = 0.20x

Now, to find the value of x (the total number of text messages), we divide both sides by 0.20:

x = $94.00 / 0.20

x = 470

To know more about total here

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