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nevsk [136]
3 years ago
12

How many solutions does this system have? How do you know? { 3x + y= 2 4 = 12x − 12

Mathematics
1 answer:
lesya [120]3 years ago
5 0
This system has one solution, because both of the equations are linear. The answer is (4/3, -2). 
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which statements about the system are true? check all that apply. y = x – 4 3y – x = –7 the system has one solution. the system
Dmitrij [34]
The slope of the first equation has a slope of one and a y intercept of -4. The second equation has a y intercept of -2.3333 as seen when plugging in 0 for x, so the same y-intercept and same line are out of the question. This means either they have the same slope and thus are parallel or intersect at some point. A simple way to find out? Plug in 1 for x on the second. If it isn't -1.33333, which is a slope of positive 1 such as in the first equation, they WILL INTERSECT somewhere. When plugging in 1, we get
 3y - 1 = -7
3y = -6
y = -2
(1, -2) is the next point after (0, -2.3333)
That means it is most certainly not the same slope, and thus they will intersect at some point. The two slopes are 1/1 and 1/3 if you weren't aware.
8 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B3%20%7D%20%20%5Ctimes%20%20%5Cfrac%7B5%7D%7B7%7D%20%20%5Ctimes%20%20%5Cfra
VikaD [51]

Answer:

\frac{2}{3}*\frac{5}{7}*\frac{4}{5}*\frac{3}{4}\\=\frac{2}{7}

Step-by-step explanation:

5 0
3 years ago
Glenn needs 20 minutes to clean his room. If his little sister Veronika pulls things out while he is cleaning, it takes 60 minut
Bogdan [553]

Answer:

It takes 30 minutes

Step By Step:

The rate of Glenn in finishing a job would be equivalent to:

Rate (G) = 1

job / 20 minutes

While the rate of Veronika is:

Rate (V) = 1

job / x---> x is the unknown

Where 1 job for Glenn means completely cleaning his room while 1 job for Veronika means pulling out everything. Therefore the equation to use would be:

1 / 20 – 1 /

x = 1 / 60

The rate of

Veronika is subtracted from the rate of Glenn since Veronika is slowing Glenn

down. Solving for x:

Multiply both

sides by 60 x

(1 / 20 – 1 /

x = 1 / 60) * 60 x

3 x – 60 = x

2 x = 60

x = 30

Therefore it

takes 30 minutes for Veronika to pull everything out.

3 0
3 years ago
Question1, shop A normal price £85 1/3 off and shop B normal price £80 30% off
ser-zykov [4K]
#1 shop A would be cheaper
6 0
3 years ago
What is a solution to f(x)=0
Brilliant_brown [7]

Answer:

F=0

Step-by-step explanation:

3 0
3 years ago
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