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3 years ago

What is the solution to the system of equations? y=3x+1 y=-2x-4

Mathematics

2 answers:

BabaBlast [244]3 years ago

8 0

Answer:

(-1,-2)

Step-by-step explanation:

The solution is where the two lines intersect

The graphs intersect at x=-1, y=-2

(-1,-2)

Gnesinka [82]3 years ago

3 0

Answer:

Step-by-step explanation:

The solution to a system of equations given graphically is at the point of intersection of the 2 lines.

The lines intersect at (- 1, - 2 ) ← solution

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Gavin goes for a run at a constant pace of 9 minutes per mile. Ten minutes later, Lars goes for a run, along the same route, at

sweet [91]

Answer: The answer is 35 minutes.

Step-by-step explanation: Given that Gavin goes for a run at a constant pace of 9 minutes per mile and after 10 minutes, Lars started running along the same route, at a constant pace of 7 minutes per mile. We need to find the number of minutes Lars will take to reach Gavin.

In 9 minutes, distance run by Gavin = 1 mile.

So, in 1 minute, distance travelled by Gavin will be

$d_G=\dfrac{1}{9}=\dfrac{7}{63}~\textup{miles}.$

Similarly,

In 7 minutes, distance run by Lars = 1 mile.

So, in 1 minute, distance travelled by Lars will be

$d_L=\dfrac{1}{7}=\dfrac{9}{63}~\textup{miles}.$

Now, since Lars started after 10 minutes, so distance run by Gavin in those 10 minutes will be

$d_{G10}=\dfrac{10}{9}=\dfrac{70}{63}~\textup{miles}.$

Now, difference between Lars and Gavin's rate of runnings is

$\dfrac{9}{63}-\dfrac{7}{63}=\dfrac{2}{63}.$

Therefore, the time taken by Lars to reach Gavin is given by

$t=\dfrac{\frac{70}{63}}{\frac{2}{63}}=35.$

Thus, the required time is 365 minutes.

6 0

3 years ago

Simplify –36 = (-3) + 2(27 + 3 x 2) B с 21 48 108 252

IrinaK [193]

Answer:

I don't understand the question what is the quarter????

3 0

3 years ago

Solve the problem -5/3*(-1/8)

natulia [17]

Answer:

0.20833333333 or 5/24

Step-by-step explanation:

Hope this helps UwU <33

4 0

3 years ago

Read 2 more answers

A fifth-degree polynomial with leading coefficient 4

allsm [11]

Easy

leading coefiencet means highest power coefient

degree is the power of the highest exponent
5th degree and leading coefienct is 4

means highest exponet is 5 and the coefienct is 4

means any thing with 4x^5 such that there is no x^n where n>5

4x5 + 3x + 1 is the answer (2nd one)

3 0

3 years ago

Need help finding the slope line through each pair

Kay [80]

Answer:

9) -25/21

11) 14

Step-by-step explanation:

In each case, subtract the y-coordinates. Subtract the x-coordinates in the same order. Divide the difference in y by the difference in x.

y-coordinates: -10 - 15 = -25

x-coordinates = 6 - (-15) = 21

slope = (difference in y)/(difference in x) = -25/21

11)

y-coordinates: -20 - 8 = -28

x-coordinates = 3 - 5 = -2

slope = (difference in y)/(difference in x) = -28/(-2) = 14

8 0

3 years ago