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Pani-rosa [81]
3 years ago
6

A solution to the compound inequality 17 less than or equal to 3 - 2x less than or equal to 21 is given below. Choose the statem

ent that is true about the given solution.. . A] 17 less than or equal to 3 - 2x and 3 - 2x less than or equal to 21 B] 20 less than or equal to -2x and -2x less than or equal to 24 C] -10 greater than or equal to x and x greater than or equal to -12
Mathematics
1 answer:
aliina [53]3 years ago
6 0
<span>17<=3-2x<=21 subtract 3 14<=-2x<=18 divide by 2 7<=-x<=9 now mutiply whole inequality by -1, this will reveres the inequality -7>=x>=-9 or -9<=x<=-7 so there are mistakes in the line the corrected lines are 17 less than or equal to 3 - 2x and 3 - 2x less than or equal to 21 (line one) 14 less than or equal to -2x and -2x less than or equal to 18 (line two) -7 greater than or equal to x and x greater than or equal to -9 (line three)</span>
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Can someone please help me ?
Nataliya [291]

Answer:

both problems are proportional


8 0
3 years ago
Evaluate g (x) = 4- 3x when x = -3, 0, and 5
Nataliya [291]

Answer:

13, 4, -11

Step-by-step explanation:

g(-3) = 4-3(-3) = 4+9 = 13

g(0) = 4-3(0) =4-0 = 4

g(5) = 4-3(5) = 4-15 = -11

7 0
3 years ago
A crew will arrive in one week and begin filming a city for a movie. The mayor is desperate to clean the city streets before fil
Reptile [31]

Step-by-step explanation:

1 week = 7 days of 24 hours each = 7×24 = 168 hours.

the first team can do 1/700 of the total work per hour.

the second team can do 1/600 if the total work per hour.

if they work together, then 1/700 + 1/600 of the total work can be done per hour.

to add these 2 fractions we need to bring them to the same denominator. and that would be 4200 (LCM of 700 and 600).

1/700 + 1/600 = 6/4200 + 7/4200 = 13/4200

so, together, they can do 13/4200 if the total job in 1 hour.

how many hours will they need together to finish the job ?

well, how often does 13 fit into 4200 (as 4200/4200 is the complete job) ?

4200 / 13 = 323.0769231... hours

so, it will still take a little bit over 323 hours to clean all the streets.

but there are only 168 hours until the film crew starts.

so, no, there is not enough time.

4 0
2 years ago
When 200 gallons of oil were removed from a tank, the volume of oil left in the tank was 3/7 of the tank's capacity. what was th
ki77a [65]

Answer:

Step-by-step explanation:

"When 200 gallons of oil were removed from a tank" algebraically looks like this:

V - 200.

"...the volume of oil left in the tank was 3/7 of the tank's capacity" algebraically looks like this:

3/7(V)

Therefore, the equation is

V - 200 = 3/7(V)

Begin by multiplying both sides by 7:

7(V - 200) = 3V and

7V - 1400 = 3V so

-1400 = -4V so

V = 350 gallons

That's if the volume of the oil in the tank was 3/7 of the tank's capacity.

For the other part of the problem, we set up the equation almost the same, except the 3/7 is a 1/2:

V - 200 = 1/2(V)

Multiplying both sides by 2 gives you

2(V - 200) = V and

2V - 400 = V so

-400 = -V so

V = 400

7 0
3 years ago
Solve the equation -6 = -9 - 3x for x
Xelga [282]

Answer:

-6= - 9 - 3x

3x = -9 + 6

3x = - 3

Therefore x = -1

3 0
3 years ago
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