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3 years ago

If a linear system has no solution, what happens when you try to solve the system by adding or subtracting?

1 answer:

3 0

If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.

You might be interested in

Solve for x: 3 2x=5x-9

atroni [7]

3+2x=5x-9
minus 2x both sies
3=3x-9
add 9 to both sides
12=3x
divide both sides by 3
4=x

4 0

3 years ago

Fast please!!

Lostsunrise [7]

Answer:

Part 1) The price of a USB memory, stick selling at a 21% discount of its market price (m) ------> 0.79m

Part 2) The price or a CD that sells for 21% more than the amount (m) needed to manufacture the CD -----> 1.21m

Part 3) The final value of a painting after its initial value m, increases by 2/5 -----> $\frac{7}{5}m$

Part 4) The total number of markers that Nancy has if she gives away 2/5 of her m markers to Amy -----> $\frac{3}{5}m$

Step-by-step explanation:

Part 1) The price of a USB memory, stick selling at a 21% discount of its market price (m)

we know that

100% is the market price m

100%-21%=79%

79%=79/100=0.79

The price of a USB memory with a 21% discount of its market price is equal to multiply m by 0.79

(0.79)*m=0.79m

Part 2) The price or a CD that sells for 21% more than the amount (m) needed to manufacture the CD

we know that

100% is the amount m

100%+21%=121%

121%=121/100=1.21

The price or a CD that sells for 21% more than the amount (m) is equal to multiply m by 1.21

(1.21)*(m)=1.21m

Part 3) The final value of a painting after its initial value m, increases by 2/5

we know that

100% is the initial value m

2/5=0.40=40%

100%+40%=140%

140%=140/100=1.4

Convert to fraction

1.4=14/10=7/5

The final value is equal to m multiplied by 7/5

$\frac{7}{5}m$

Part 4) The total number of markers that Nancy has if she gives away 2/5 of her m markers to Amy

we know that

100% is the number of makers m

2/5=0.40=40%

100%-40%=60%

60%=60/100=0.6

Convert to fraction

0.6=6/10=3/5

The total number of markers that Nancy has is equal to multiply m by 3/5

$\frac{3}{5}m$

5 0

3 years ago

5x-5 ------- =0. what does the x equal? 10

Arada [10]

Answer:

i think the answer is x=1

8 0

3 years ago

Thomas has finished 50% of an art project that has taken him a total of 9 hours so far. If he continues to work at the same rate

In-s [12.5K]

Answer:

Step-by-step explanation:

If he has worked for 9 hours and its 50% done he has to work for 9 more hours to get it finished so he would have worked on it for 18 hours to get it totally finished

8 0

3 years ago

A truck starts off 180 miles directly east from the city of Hartville. It travels due south at a speed of 45 miles per hour. Aft

Degger [83]

Answer:

11.82 mph

Step-by-step explanation:

The angle between the direction of travel and the direction to the city of Hartville is ...

arctan(180/49) ≈ 74.77°

The speed from the direction of Hartville is the the actual speed multiplied by the cosine of this angle:

speed from Hartville = (45 mph)×cos(74.77°) ≈ 11.82 mph

_____

Comment on the solution

There are other approaches you can use to solve this. One is to compute the change in distance over a small period of time, such as 0.02 hours.

0.01 hours before the time of interest, the distance to the city is ...

d1 = √(180² +(49-.01(45))²) ≈ 186.4326 . . . miles

0.01 hours after the time of interest, the distance to the city is ...

d2 = √(180² +(49+.01(45))²) ≈ 186.6690 . . . miles

Then the rate of change of distance is ...

(d2 -d1)/(t2 -t1) = (186.6690 -186.4326)/0.02 = 11.82 . . . mi/h

Another is to write the distance equation and differentiate it. (You will find the solution looks very much like the trig solution above.)

d = √(180² +(45t)²)

dd/dt = 45²t/√(180² +(45t)²) . . . . . to be evaluated at t=49/45

rate of change = 45(49/√(180²+49²)) ≈ 11.82 . . . mi/h

7 0

3 years ago