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Andrei [34K]
3 years ago
14

What are the solutions to the system of linear equations graphed below?

Mathematics
1 answer:
amid [387]3 years ago
5 0

Answer:

Graph on the left:

(-4,-7) & (3,0)

Graph on the right:

(-4,7) & (4,9)

Step-by-step explanation:

Look for when the intersect

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72 greater than a is at least 7
KonstantinChe [14]
It could be? the 7 could be 7 to literally any number soooo
4 0
3 years ago
If it takes you 40 minutes to go 20 miles downstream and then 60 minutes on the way back, what is the speed of the current?
IrinaK [193]

Answer:

Speed of Current = 5 miles per hour

Step-by-step explanation:

We know distance formula,

D = RT

Where

D is distance

R is rate

T is time

If we let speed of boat (assume) to be "x" and speed of current to be "c"

Then downstream rate is (with current) = x + c

Upstream rate is (against current) = x - c

40 mins to go 20 miles downstream, that means:

D = RT

20 = (x + c)(40)

and

60 minutes to go upstream, 20 miles, that means:

D = RT

20 = (x - c)(60)

Simplifying first equation:

40x + 40c = 20

Simplifying second equation:

60x - 60c = 20

Multiplying first equation by 60, we get:

60 * [40x + 40c = 20] = 2400x + 2400c = 1200

Multiplying second equation by 40, we get:

40 * [60x - 60c = 20] = 2400x - 2400c = 800

Now we add up both these equations:

2400x + 2400c = 1200

2400x - 2400c = 800

----------------------------------

4800x = 2000

x = 2000/4800 = 5/12

We need speed of current, that is "c", so we plug in the value of x into first equation and solve for c:

40x + 40c = 20\\40(\frac{5}{12}) + 40c = 20\\\frac{50}{3}+40c=20\\40c=20-\frac{50}{3}\\40c=\frac{10}{3}\\c=\frac{1}{12}

Speed of Current = 1/12 miles per minute

Since there is 60 minutes in an hours, that would be:

(1/12) * 60 = 5 miles per hour

Speed of Current = 5 miles per hour

3 0
3 years ago
PLEASE HELP!! Sue and Cat have $20 for an Uber ride home. It costs $3.00 per mile plus a $2 fixed charge. What is the maximum nu
m_a_m_a [10]

Answer:

6miles

Step-by-step explanation

5 0
3 years ago
Plz help thanks sm!!!!
Snowcat [4.5K]

n = a number

2n = twice a number

2n - 7 = seven less than twice a number


4 0
3 years ago
Help me please,Thanks
Monica [59]
If you did the math it is obvious that the answer is 20%
4 0
3 years ago
Read 2 more answers
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