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Vinvika [58]
3 years ago
12

Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite.

Mathematics
1 answer:
topjm [15]3 years ago
4 0
I believe it would be an empty set. If you graph the two lines, they have the same slope so are parallel but different Y intercepts so don’t intersect at all. This is an empty set, no solution.
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An airplane travels at 280 miles per hour. how far in miles will the airplane travel in 20 minutes?
Romashka-Z-Leto [24]

Answer:

93.33 miles

Step-by-step explanation:

60 min/ 20 min = 3

280/3 = 93.333333

8 0
3 years ago
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Solve the equation using inverse operations. Check your solutions. In your final answer, include all of your work.
EastWind [94]
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Y=x<br> y=-6x–14<br><br> (substitution method)
olga_2 [115]

Answer:

The solution is the point (-2,-2)

Step-by-step explanation:

we have

y=x ----> equation A

y=-6x-14 ----> equation B

Solve the system by substitution

substitute equation A in equation B

x=-6x-14

Solve for x

6x+x=-14\\7x=-14\\x=-2

Find the value of y

substitute the value of x in the equation A

y=x

so

y=-2

therefore

The solution is the point (-2,-2)

3 0
3 years ago
Calculate the value of T for which T=m2 +am when m=3 and a=5
Julli [10]

Answer:

T=21

Step-by-step explanation:

Plugin the values of m and a;

(3)2+(5)(3)

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6 0
3 years ago
The common difference ,d in an arithmetic sequence whose fourth term is 16 and whose seventh therm is 31
Natali [406]

Answer: d=5

Step-by-step explanation:

Arithmetic progression

An=a1+d(n-1)

An= nth term

A1= first term

D= common difference

N= nth position

We are given the 4th and 7th terms

For 4th term,n=4

A4=a1+d(4-1)

A4= 16

16= a1+d(4-1)

16= a1+3d........equation 1

For the 7th term,n=7

A7=a1+d(7-1)

A7= 31

31=a1+6d......equation 2

Bring them together

16=a1+3d

31=a1+6d

Subtract equation 1 from 2

So we have

15=3d

D=15/3

D=5

Therefore, the common difference is 5

3 0
4 years ago
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