If G = {(-1, 7),(-8, 2),(0, 0),(6, 6)}, then the range of G is

Answers

Answer 1

Answer:

Answer with explanation:

All the first element of Ordered pair ,is called Domain of the set. And all the second element of Ordered pair is called Range.

For, the ordered pair, (x,y)

x= Domain

y=Range

For, the Set G ,Consisting of ordered pair

= {(-1, 7),(-8, 2),(0, 0),(6, 6)}

⇒Domain of G = {-1, -8, 0,6}

⇒Range of G= {2, 7, 0, 6}

Answer 2

Answer: All the second numbers. {0, 2, 6, 7}.

The Smith generates 6 bags of trash per month, and the Joneses generates 6 bags of trash per month.

Step-by-step explanation:

We know that

The Smith generates one and a half times trash as much as the Joneses.
Both families generate 15 bags of trash per month.

To solve this problem, we need to transform each statement in a equation.

$S=1(1)/(2)J$

Where $S$ represents the Smith, and $J$ represents the Joneses.

This expressions expresses the one and a half difference between the two families.

If both families produce 15 bags of trash, the equation would be

$S+J=15$

Now, we replace the first equation into the second one and solve for $J$

$1(1)/(2)J+J=15\n1.5J+J=15\n2.5J=15\nJ=(15)/(2.5)=6$

Then, we replace this value into one equation to find the other variable

$S+J=15\nS+6=15\nS=15-6\nS=9$

Therefore, the Smith generates 6 bags of trash per month, and the Joneses generates 6 bags of trash per month.

Smith = 1.5Jones
S=1.5J
S + J = 15
1.5J + J = 15
2.5J = 15
J = 6
S = 9

Tracy wants to earn at least 100 dollars from her two jobs next week. At most she can work 12 hours. Her first job pays 8 an hour and her second job pays 9 an hour. Let x represent the number of hours worked at the first job and y represent the number of hours worked at the second job. Which system of linear inequalities models tracy's equation

Answers

Answer:

Step-by-step explanation:

You didn't list the options from which we are to choose as your system of inequalities, but that doesn't matter...we'll come up with them on our own and then you can match them to your options. The first inequality is going to be about the number of hours worked. The second inequality is going to be about the money earned. Hours worked and money earned have to be in 2 different inequalities because they are not the same. If x is one job and y is the other, and the combination of these jobs cannot be more than 12 hours total, then the inequality for this is:

x + y ≤ 12

That represents the hours worked. As far as the money goes, she makes $8 per hour, x, at the first job, and $9 per hour, y, at the second job. She wants the combination of these wages to be at least $100. The inequality that represents the money earned is:

8x + 9y ≥ 100

That is the system that represents your situation.

amanda drove to the mountains last weekend. there was heavy traffic on the way there, and the trip took 7 hours. when amanda drove home, there was no traffic and the trip only took 5 hours. if her average rate was 18 miles per hour faster on the trip home, how far away does amanda live from the mountains?

Answers

The distance between the mountains and her residence is 315 miles.

What is speed?

Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance traveled by time. The unit of speed in miles per hour.

Given that Amanda drove to the mountains last weekend. there was heavy traffic on the way there, and the trip took 7 hours. when Amanda drove home, there was no traffic and the trip only took 5 hours. if her average rate was 18 miles per hour faster on the trip home.

The distance will be calculated as,

Distance = S x 7

The other distance is,

Distance = 5 ( S + 18 )

7S = 5S + 90

S = 45 miles

Distance = 45 x 7

Distance = 315 miles

To know more about Speed follow

brainly.com/question/6504879

#SPJ2

90 miles away since you multiply 18 times 5 would equal 90 miles away.

What is 1 2/3 as an improper fraction

Answers

Hi there! To turn a mixed number into a improper fraction we multiply 1 by 3 and add 2. 1 2/3=1×3+2/3=5/3. Therefore, 1 2/3 as an improper fraction is 5/3.

Probability theory predicts that there is a 16.2% chance of a particular basketball player making 5 free throws in a row. If the basketball player taking 5 free throws is simulated 5000 times, in about how many of the simulations would you expect at least 1 missed free throw?