1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
daser333 [38]
3 years ago
7

I don’t really understand this type of stuff so please help.

Mathematics
1 answer:
ohaa [14]3 years ago
5 0

For 1 and 2, you plot both lines, and wherever they intersect is the solution to the system. Given the equation of a line, I think the easiest way to plot it is to find two points on the line, then draw a line through them. For example, if y=5x-1, then when x=0, you get y=-1; when x=1, you get y=4. So plot the points (0, -1) and (1, 4), then strike a line through.

1. Notice that dividing both sides of 2y=10x-2 by 2 returns y=5x-1, same as the first equation. So the system of equations reduces to one equation, which can have an infinite number of solutions. (This is because for any choice of x or y, you can always find a corresponding value for the other variable.)

2. See attached image. 3x-y=2 is given by the purple line.

For 3-6, you have several options. The two simplest methods of solving them are by substitution or elimination.

3. Like with (1), notice that dividing both sides of the first equation by 2 gives x+3y=9, so there will be an infinite number of solutions.

4. (by substitution) Since y=-7x+3, we can replace y in the second equation:

-7x+3+7x=10\implies3=10

but this is false, so there are no solutions to this system.

5. (by substitution) Since x=2y+2, in the first equation we have

-5(2y+2)+3y=-10y-10+3y=-7y-10=11\implies-7y=21\implies y=-3

Then back in the second equation we find

x=2(-3)+2=-6+2=-4

So (-4, -3) is the only solution here.

6. (by substitution) Notice that the left hand sides of both equations are the same, so we end up with 7 = 12, but this is false, so no solution exists.

You might be interested in
For the following​ case, assume that the population standard deviation is known and decide whether use of the​ z-interval proced
Ray Of Light [21]

Answer:

B. It is reasonable to use the? z-interval procedure in this case? since, although the sample is small? (size less than? 15), the variable under consideration is very close to being normally distributed.

Step-by-step explanation:

answer b is considered to be correct because we know that the population is normal and the standard deviation is known, which allows using the interval z, the answer A is not correct because although the option to use the interval z is given, which is correct, the large sample is not favored, the answer C and D are incorrect because they both reject the use of the z interval and in d it is further rejected that although there is a normal distribution the sample is not, which is false

8 0
3 years ago
Round to the nearest hundredth (2 decimal places) when necessary
shusha [124]

Answer:

volume = 91 cm²

perimeter = 41.1 in

Step-by-step explanation:

volume = 1/2(b1+b2)(h) = 1/2(11 + 15)(7) = 91 cm²

8 0
3 years ago
Which of the following gives all of the sets that contain -1/2?
Natalka [10]

Answer:

B the set of all natural numbers and the ser of all

7 0
3 years ago
Read 2 more answers
In trapezoid TRAP, m∡T = 75∘.
blagie [28]

Answer:

answer is 115

Step-by-step explanation:

I took the quiz

8 0
3 years ago
If there are 13 inches of snow in 8 hours how many inches in are there 1 hour
Ugo [173]

Here is 3 different ways to write how much snow fell in one hour

  1. Exact form (improper fraction) form: 13/8
  2. Decimal form: 1.625
  3. Mixed number form: 1 5/8

All u need to do is divide 13 by 8

6 0
3 years ago
Other questions:
  • Any help please? :( i really need it
    9·2 answers
  • What is the range of the following set of data: 12, -2, 9, 3, 2.4, 7.1, 11?
    12·2 answers
  • Estimate the sum of 1/8 + 1/4
    6·2 answers
  • Kenji is playing the video game dragon tamer, where players go on a adventure finding and training. In the first level he gets 1
    8·1 answer
  • Evaluate the following expression,<br> 5x [7+ (10-2) + 4)
    5·1 answer
  • A police car drives with a constant speed of 112 km/h. How far can it travel in 4 hours.
    11·2 answers
  • Ashley and joe each improved their yards by planting hostas and ornamental grass. They bought their supplies from the same store
    6·1 answer
  • 7th grade math<br><br><br><br>Find the value of the expression. mp = 6 for m 6 and p = 3​
    8·1 answer
  • Onepipefillsastoragepoolin20hours.Asecondpipefillsthesamepoolin15hours.Whenathirdpumpisaddedandallthreeareusedtofillthepool,itta
    7·1 answer
  • In a group of 60 students, 20%are girls. How many are boys?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!